2017年建平中学高三11月14日周考卷教师版
2016-2017学年上海市浦东新区建平中学高一(上)期末数学试卷含答案
2016-2017学年上海市浦东新区建平中学高一(上)期末数学试卷一、填空题:(每小题3分,共36分)1.(3分)集合A={﹣1,a},B={4,a2},若 A U B={0,﹣1,4},则 a 的值为.2.(3分)函数f (x )=,g (x )=,则f (x)⋅g (x )=.3.(3分)全集U=R,且A={x|﹣x2+x+6≥0},B={x||x﹣3|﹣4>0},则∁U(A∩B)=.4.(3分)函数g (x)=1﹣2x,f[g(x)]=则,f ()=.5.(3分)不等式x﹣1>x4的解集是.6.(3分)命题“若一个函数定义域不对称,则该函数不是偶函数.”的逆否命题是.7.(3分)函数y=x2+3(x≤0)的反函数是.8.(3分)若f (x)=(m﹣1)x2﹣mx+3(x∈R)是偶函数,则函数g (x )=的零点是.9.(3分)函数y=的值域是.10.(3分)函数y=|(log2|x﹣1|)|(x<1)的单调递增区间是.11.(3分)已知关于x 的不等式在[2,5]有实数解,则实数a的取值范围为.12.(3分)把指数函数y=2x图像向下平移1个单位得到函数y=h (x)的图像,函数+a(m>0,m≠1)满足g (7)﹣g (1)=若函数f (x )=在(﹣∞,+∞)上是减函数,则实数a 的取值范围是.二、选择题:(每小题3分,共12分)13.(3分)如果x<0<y,则下列各式中成立的是()14.(3分)设p,q 是两个命题:p:log(|x|﹣1)>0,q:22+x﹣22﹣x≤15,则p 是q 的()A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件15.(3分)设函数f (x )=,g (x)=ax2+bx (a,b∈R,a≠0),若y=f (x)的图象与y=g (x)图象有且仅有两个不同的公共点A(x1,y1),B (x2,y2),则下列判断正确的是()A.当a<0 时,x1+x2<0,y1+y2>0B.当a<0 时,x1+x2<0,y1+y2<0C.当a>0 时,x1+x2<0,y1+y2>0D.当a>0 时,x1+x2>0,y11+y2>016.(3分)学生李明用手机加了一个有关高中数学学习的微信群,群里面许多数学爱好者经常发一些有关高中数学学习的心得和经验,但是,这些心得和经验的正确性无法保证,下面是李明搜集到的有关函数的一些结论:(1)若函数y=f (﹣x)有反函数,则其反函数可表示为y=f﹣1(﹣x);(2)函数y=f (x )在其定义域内的最大值为M,最小值为m,则其值域为[m,M];(3)定义在R 上的函数y=f (x),若对任意的实数x,y 等式 f (x)﹣f (y)=均成立,则函数y=f (x)一定是奇函数;(4)定义在R 上的函数y=f (x),若对任意的实数x 都有 f (x)﹣f (|x|)=0,则函数y=f (x)一定没有反函数.李明的同学们对以上四个结论有以下不同判断,其中判断正确的是()A.都是错误的B.只有一个是正确的C.两对两错D.只有一个是错误的三、解答题(10+10+10+12,共52分)17.(10分)解下列不等式或方程(1)18.(10分)已知m 为实常数,求函数y=log22x﹣2m log2x﹣3的最小值.19.(10分)已知函数y=.(1)判断该函数奇偶性并证明;(2)利用函数单调性定义证明该函数在(﹣∞,+∞)上为增函数.20.(10分)已知某市最低工资标准为每月1800 元,为了解决该市房价过高的问题,政府计划对低收入的本市户籍居民购买第一套住房的,每月提供一定金额的贷款补贴,补贴规则:个人每月收入不高于6000 元的,对贷款进行补贴,补贴标准为:贷款月还款额×,其中k 是一个与月工资收入有关的常数,且贷款月还款额不得高于5000 元,贷款月还款额高于5000 元的,只对5000 元部分进行补贴.高于5000 元部分不予补贴,已知月工资收入不高于3000 元时k=1000.(1)若某人工资为2000 元,贷款月还款额为5000 元,则他每月获得的贷款补贴是多少元?(2)对于月工资收入不高于3000 元的贷款买房的居民中.若贷款月还款额均为5000 元,则实际月收入最高为多少元?(结果均保留整数位,均不考虑扣税问题)21.(12分)对于函数y=f (x)和y=g (x ),若存在区间A,使|f(x)﹣g(x)|≤1 在区间 A 上恒成立,则称区间 A 是函数y=f (x)和y=g (x )的“公共邻域”.设函数f (x)=a x+3a (a>0,a≠1)的反函数为y=f﹣1(x),函数y=g (x )的图象与函数y=f﹣1(x)的图象关于点(a,0)对称.(1)求函数y=f﹣1(x)和y=g (x )的解析式;(2)若a=2,求函数y=g (﹣x)+f﹣1(x)的定义域;(3)是否存在实数a,使得区间[a+2,a+3]是y=f﹣1(x)和y=g (﹣x)的“公共邻域”,若存在,求出a 的取值范围;若不存在,说明理由.2016-2017学年上海市浦东新区建平中学高一(上)期末数学试卷参考答案与试题解析一、填空题:(每小题3分,共36分)1.(3分)集合A={﹣1,a},B={4,a2},若A U B={0,﹣1,4},则a 的值为0.【解答】解:集合A={﹣1,a},B={4,a2},若AUB={0,﹣1,4},则a=a2=0,∴a的值为0.故答案为:0.2.(3分)函数f (x )=,g (x )=,则f (x)⋅g (x )= 2(x﹣1)(x≠﹣3,x≠0).【解答】解:f (x )=,g (x )=,∴f (x)⋅g (x )=•=2(x﹣1),故答案为:2(x﹣1).,(x≠﹣3,x≠0).3.(3分)全集U=R,且A={x|﹣x2+x+6≥0},B={x||x﹣3|﹣4>0},则∁U(A∩B)={x|x<﹣2或x≥﹣1} .【解答】解:全集U=R,A={x|﹣x2+x+6≥0}={x|x2﹣x﹣6≤0}={x|﹣2≤x≤3},B={x||x﹣3|﹣4>0}={x||x﹣3|>4}={x|x>7或x<﹣1},A∩B={x|﹣2≤x<﹣1},∴∁U(A∩B)={x|x<﹣2或x≥﹣1}.故答案为:{x|x<﹣2或x≥﹣1}.【解答】解:∵函数g (x)=1﹣2x,f[g(x)]=,∴f ()=f[g()]==﹣1.故答案为:﹣1.5.(3分)不等式x﹣1>x4的解集是∅.【解答】解:根据题意,令g(x)=x4﹣x+1,x﹣1>x4⇒x4﹣x+1<0⇒g(x)<0,则g(x)的导数为g′(x)=4x3﹣1,令g′(x)=4x3﹣1=0,解可得x=,分析可得:当x<,有g′(x)=4x3﹣1<0,即函数g(x)在(﹣∞,)为减函数,当x>,有g′(x)=4x3﹣1>0,即函数g(x)在(,+∞)为增函数,则函数g(x)在最小值为g()=﹣+1>1,则有g(x)>0恒成立,不等式x﹣1>x4的解集为∅;故答案为:∅6.(3分)命题“若一个函数定义域不对称,则该函数不是偶函数.”的逆否命题是若一个函数是偶函数,则该函数的定义域对称..【解答】解:命题的逆否命题为:若一个函数是偶函数,则该函数的定义域对称.故答案为:若一个函数是偶函数,则该函数的定义域对称.7.(3分)函数y=x2+3(x≤0)的反函数是y=﹣(x≥3).【解答】解:∵y=x2+3(x≤0),∴x=﹣,y≥3,故反函数为y=﹣(x≥3),8.(3分)若f (x)=(m﹣1)x2﹣mx+3(x∈R)是偶函数,则函数g (x )=的零点是﹣1.【解答】解:若函数f(x)是偶函数,则f(﹣x)=f(x),即(m﹣1)x2+mx+3=(m﹣1)x2﹣mx+3,则mx=﹣mx,即m=﹣m,得m=0,则g(x)==x+1,(x≠1),由g(x)=0得x=﹣1,则为函数g(x)的零点是﹣1,故答案为:﹣19.(3分)函数y=的值域是(0,1] .【解答】解:由f(x)=x2+2x+2=(x+1)2+1,可得f(x)的最小值为1,∴y=的值域为(0,1].故答案为:(0,1].10.(3分)函数y=|(log2|x﹣1|)|(x<1)的单调递增区间是(0,1).【解答】解:函数y=|(log2|x﹣1|)|(x<1)=|log2(1﹣x)|,令t=log2(1﹣x),则y=|t|,t<0,解得0<x<1,由t在(0,1)递减,y在(﹣∞,0)递减,由复合函数的单调性:同增异减,可得所求增区间为(0,1).故答案为:(0,1).11.(3分)已知关于x 的不等式在[2,5]有实数解,则实数a的取值【解答】解:根据题意,⇒>0⇒[(a﹣1)x﹣(a+1)](x+1)>0,分5种情况讨论:①,当a=1时,不等式可以变形为x+1<0,即x<﹣1,在[2,5]无解,不合题意,②,当a>1或时,不等式变形为(x﹣)(x+1)>0,其解集为{x|x<﹣1或x>},若不等式即(x﹣)(x+1)>0在[2,5]有实数解,则有<5,解可得:a>,③,当0<a<1时,有不等式变形为(x﹣)(x+1)<0,其解集为{x|x<或x>﹣1},不等式即(x﹣)(x+1)>0在[2,5]有实数解,④,当a=0时,不等式可以变形为0>1,无解,不符合题意;⑤,当a<0时,不等式变形为(x﹣)(x+1)<0,其解集为{x|x<﹣1或x >},若不等式即(x﹣)(x+1)>0在[2,5]有实数解,则有<5,解可得:a>,又由a<0,则a存在,综合可得:a的取值范围是{a|a>或0<a<1}.12.(3分)把指数函数y=2x图像向下平移1个单位得到函数y=h (x)的图像,函数+a(m>0,m≠1)满足g (7)﹣g (1)=若函数f (x )=在(﹣∞,+∞)上是减函数,则实数a由+a,且g (7)﹣g (1)=,得=,∴m=.则g(x)=.由f (x )=在(﹣∞,+∞)上是减函数,得f (x )=在(﹣∞,+∞)上是减函数,∴,解得a≤0.∴实数 a 的取值范围是(﹣∞,0].故答案为:(﹣∞,0].二、选择题:(每小题3分,共12分)13.(3分)如果x<0<y,则下列各式中成立的是()A.|x|<|y|B.|x\>|y|C.|x|=|y| D.以上都有可能【解答】解:由x<0<y,可得:|x|<|y|,|x|>|y|,|x|=|y|,因此以上都有可能.故选:D.14.(3分)设p,q 是两个命题:p:log(|x|﹣1)>0,q:22+x﹣22﹣x≤15,则p 是q 的()A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件【解答】解:由log(|x|﹣1)>0得0<|x|﹣1<1,即1<|x|<2,得1<x <2或﹣2<x<﹣1,由22+x﹣22﹣x≤15得4•2x﹣≤15,即4(2x)2﹣15•2x﹣4≤0,即(2x﹣4)(4•2x+1)≤0,得2x≤4,则x≤2,则p 是q 的充分不必要条件,15.(3分)设函数f (x )=,g (x)=ax2+bx (a,b∈R,a≠0),若y=f (x)的图象与y=g (x)图象有且仅有两个不同的公共点A(x1,y1),B (x2,y2),则下列判断正确的是()A.当a<0 时,x1+x2<0,y1+y2>0B.当a<0 时,x1+x2<0,y1+y2<0C.当a>0 时,x1+x2<0,y1+y2>0D.当a>0 时,x1+x2>0,y11+y2>0【解答】解:当a<0时,作出两个函数的图象,若y=f(x)的图象与y=g(x)图象有且仅有两个不同的公共点,必然是如图的情况,因为函数f(x)=是奇函数,所以A与A′关于原点对称,显然x2>﹣x1>0,即x1+x2>0,﹣y1>y2,即y1+y2<0,同理,当a>0时,有x1+x2<0,y1+y2>0故选:C.16.(3分)学生李明用手机加了一个有关高中数学学习的微信群,群里面许多数学爱好者经常发一些有关高中数学学习的心得和经验,但是,这些心得和经验的正确性无法保证,下面是李明搜集到的有关函数的一些结论:(1)若函数y=f (﹣x)有反函数,则其反函数可表示为y=f﹣1(﹣x);(2)函数y=f (x )在其定义域内的最大值为M,最小值为m,则其值域(3)定义在R 上的函数y=f (x),若对任意的实数x,y 等式 f (x)﹣f (y)=均成立,则函数y=f (x)一定是奇函数;(4)定义在R 上的函数y=f (x),若对任意的实数x 都有 f (x)﹣f (|x|)=0,则函数y=f (x)一定没有反函数.李明的同学们对以上四个结论有以下不同判断,其中判断正确的是()A.都是错误的B.只有一个是正确的C.两对两错D.只有一个是错误的【解答】解:对于(1),设(x,y)是f(﹣x)的任意一点,则y=f(﹣x),∴﹣x=f﹣1(y),即x=﹣f﹣1(y),∴y=f(﹣x)的反函数为y=﹣f﹣1(x).故(1)错误.对于(2),若f(x)在定义域上不连续,则结论不成立,故(2)错误.对于(3),令y=x,可得f (x)﹣f (x)==0,∴f(0)=0,再令x=0可得:0﹣f(y)=,即f(﹣y)=﹣f(y)恒成立,∴f(x)是奇函数,故(3)正确.对于(4),若f (x)﹣f (|x|)=0,即f(|x|)=f(x),∴f(x)是偶函数,∴f(x)没有反函数,故(4)正确.故选:C.三、解答题(10+10+10+12,共52分)17.(10分)解下列不等式或方程(1)(2).【解答】解:(1)可化为,整理可得,即(x﹣1)(x﹣2)<0,解得1<x<2,不等式解集为{x|1<x<2};∴x2﹣3x﹣6=4,解得x=5或x=﹣2.18.(10分)已知m 为实常数,求函数y=log22x﹣2m log2x﹣3的最小值.【解答】解:令t=log2x,由,知t≥﹣1.∴y=log22x﹣2m log2x﹣3化为y=t2﹣2m t﹣3,其对称轴方程为t=>0.∴当t=2m﹣1时,y有最小值为(2m﹣1)2﹣2m•2m﹣1﹣3=﹣22m﹣2﹣3.19.(10分)已知函数y=.(1)判断该函数奇偶性并证明;(2)利用函数单调性定义证明该函数在(﹣∞,+∞)上为增函数.【解答】解:函数的定义域是R,令y=f(x),(1)f(﹣x)==﹣=﹣f(x),故函数y=f(x)是奇函数;(2)设x1<x2,则f(x1)﹣f(x2)=﹣=∵x1<x2,∴x1﹣x2<0,x2﹣x1>0,∴<a0=1,>a0=1,故﹣<0,故f(x1)﹣f(x2)<0,故f(x)在R递增.20.(10分)已知某市最低工资标准为每月1800 元,为了解决该市房价过高的问题,政府计划对低收入的本市户籍居民购买第一套住房的,每月提供一定金额的贷款补贴,补贴规则:个人每月收入不高于6000 元的,对贷款进行补贴,补贴标准为:贷款月还款额×,其中k 是一个与月工资收入有关的常数,且贷款月还款额不得高于5000 元,贷款月还款额高于5000 元的,只对5000 元部分进行补贴.高于5000 元部分不予补贴,已知月工资收入不高于3000 元时k=1000.(1)若某人工资为2000 元,贷款月还款额为5000 元,则他每月获得的贷款补贴是多少元?(2)对于月工资收入不高于3000 元的贷款买房的居民中.若贷款月还款额均为5000 元,则实际月收入最高为多少元?(结果均保留整数位,均不考虑扣税问题)【解答】解:(1)∵个人每月收入不高于6000 元的,对贷款进行补贴,补贴标准为:贷款月还款额×,其中k 是一个与月工资收入有关的常数,且贷款月还款额不得高于5000 元,贷款月还款额高于5000 元的,只对5000 元部分进行补贴.高于5000 元部分不予补贴,月工资收入不高于3000 元时k=1000.某人工资为2000 元,贷款月还款额为5000 元,∴他每月获得的贷款补贴是:5000×=2500.(2)设月工资收入为x元,(1800≤x≤3000),则实际月收入:y=x+5000×≥2=4472元,当且仅当x=2236元时等号成立,∴当x=3000时,实际月收入最高为4667元.21.(12分)对于函数y=f (x)和y=g (x ),若存在区间A,使|f(x)﹣g(x)|≤1 在区间 A 上恒成立,则称区间 A 是函数y=f (x)和y=g (x )的“公共邻域”.设函数f (x)=a x+3a (a>0,a≠1)的反函数为y=f﹣1(x),函数y=g (x )的图象与函数y=f﹣1(x)的图象关于点(a,0)对称.(1)求函数y=f﹣1(x)和y=g (x )的解析式;(2)若a=2,求函数y=g (﹣x)+f﹣1(x)的定义域;(3)是否存在实数a,使得区间[a+2,a+3]是y=f﹣1(x)和y=g (﹣x)的“公共邻域”,若存在,求出a 的取值范围;若不存在,说明理由.【解答】解:(1)设y=a x+3a,则a x=y﹣3a,两边取对数得:x=log a(y﹣3a),所以f﹣1(x)=log a(x﹣3a);由函数y=g (x )的图象与函数y=f﹣1(x)的图象关于点(a,0)对称,可得g(x)=﹣log a(2a﹣x﹣3a),即为g(x)=﹣log a(﹣x﹣a);(2)a=2,函数y=g (﹣x)+f﹣1(x)=﹣log2(x﹣2)+log2(x﹣6),由x﹣2>0,且x﹣6>0,可得x>6,则函数的定义域为(6,+∞);(3)假设存在实数a,使得区间[a+2,a+3]是y=f﹣1(x)和y=g (﹣x)的“公共邻域”,因为x∈[a+2,a+3]时,函数有意义,所以(a+2)﹣3a=2﹣2a>0,所以0<a<1,由区间[a+2,a+3]是y=f﹣1(x)和y=g (﹣x)的“公共邻域”,可得|log a(x﹣3a)+log a(x﹣a)|≤1,设h(x)=log a(x﹣3a)+log a(x﹣a)=log a(x2﹣4ax+3a2),二次函数u=x2﹣4ax+3a2的对称轴为x=2a<2,所以u=x2﹣4ax+3a2在x∈[a+2,a+3]上为增函数,当x=a+2时,取得最小值4(1﹣a),当x=a+3时取得最大值3(3﹣2a),从而可得y=h(x)在闭区间[a+2,a+3]上的最小值与最大值分别为:log a3(3﹣2a),log a4(1﹣a),当x∈[a+2,a+3]时,恒有|log a(x﹣3a)+log a(x﹣a)|≤1成立的充要条件为:,即为,解得0<a≤.则存在实数a,且0<a≤,使得区间[a+2,a+3]是y=f﹣1(x)和y=g (﹣x)的“公共邻域”.。
2017年建平中学高三开学考试卷(含答案+解析)
2017年9月建平中学高三开学考II. Grammar and vocabularySection ADirections:After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Nursing, as a typically female profession, must deal constantly with the false impression ___21___ nurses are there to wait on the position.As nurses, we ____22_____ (license) to provide nursing care only. We provide health teaching, and physical as well as emotional problems, coordinate patient-related services and make all our nursing decisions based upon what is ___23___(good) or suitable for the patient. If, in any circumstance, we feel that a physician’s order is inappropriate or unsafe, we have a legal responsibility ____24____(question) that order, or refuse to carry it out.Nursing is not a nine-to-five job __25__ every weekend off. All nurses are aware of that ___26___ they enter the profession. The emotional and physical stress, however, __27__ occurs due to hard working hours is a prime reason for a lot of the career dissatisfaction. It is sometimes required that we work overtime, and that we change shifts four or five times a month. That disturbs our personal lives and disrupts our sleeping and eating habits, isolating us from everything __28__ job-related friends and activities.The quality of nursing care is being affected dramatically by these situations. Most hospitals are now staffed by new graduates because experienced nurses finally give up __29___(try) to change the system. If trends continue as ___30__(predict), they will find that most critical hospital care will be provided by new inexperienced and sometimes inadequately-trained nurses.Section BDirections:Complete the following passage by using the words in the box. Each word can only bebetween adults and their freedom-craving kids.Locked indoors, unable to get on their bicycles and hang out with their friends, teens have turnedhelicopter parenting. Social media and smart phones apps have become so popular in recent years.第1页/ 共11页the potential dangers that youth might face---from violent strangers to cruel peers.Rather than helping teens develop strategies for discussing public life and the potential risks ofhelp teens develop the skills they need to manage complex social situations, assess risks and get help when they’re in trouble. It gradually weakens the learning that teens need to do as they come of age in a technology-soaked world.neighborhoods wereurban theorist Jane Jacobs used to argue that the safestcommunication. FamedThe same is true online.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.When is an occupation a profession? There appears to no absolute definition, but only __41_ ways of looking at the issue, from historical, cultural, sociological, moral, political or philosophical perspectives. It is often said that professions are elites(精英) who undertake specialized, selfless work, according to moral codes and that their work is _42__ by examination and a license to practice. In _43__, however, they request complete control over a body of knowledge, freedom to practice, special rewards and higher financial and economic _44__.The public needs experts and higher specialist advice, but because this advice is specialized they are not in a position to __45__ what advice they need: this has to be defined in conversation with the professional. Professional judgement could be __46__ with client(委托人) satisfaction since the latter cannot then be “the chief measure of whether the professional has acted in a trustworthy fashion.” Professional elites have __47__ potential; to export their power and reputation for economic goals; to allow research for the __48__ theoretical knowledge to become an end in itself; to lose sight of client well-being in the continuing split of specialist knowledge.The higher a profession’s social status the more freedom it enjoys. Therefore, an occupation wanting to maintain or improve its status will try to keep as much an occupation __49__ as possible over its own affairs. As in so many other areas, socio-culture change has affected the professions considerably in recent years. Market forces and social pressures have focused professionals to be more __50__ about their modes of practice. In addition, information technology has enables the __51__ to become much better informed, and therefore more demanding. Moreover, developing in professional knowledge itself have forced a greater degree of specialization on experts, who constantly have to _52___ and do research to maintain their position.Self-regulation then becomes an even more thing for a profession to maintain er extend. But in第2页/ 共11页whose __53__? Is self-regulation used to enable a profession to properly practise without __54__ interference, or is it used to maintain the status of the profession for its own ends? Or is it used to protect clients by appropriately __55__ those who have broken professional norms, or to protect the public image of the profession by concealing evidences that would damage it?41.A. fair B. normal C. different D. separate42.A. guaranteed B. measured C. completed D. continued43.A. return B. comparison C. conclusion D. fact44.A. importance B. status C. influence D. certificate45.A. discover B. accept C. realize D. know46.A. competing B. disagreeing C. contrasting D. mixing47.A. negative B. creative C. significant D. wasted48.A. necessary B. abstract C. basic D. background49.A. independence B. control C. limitation D. value50.A. definite B. formal C. open D. personal51.A. public B. followers C. audience D. consumers52.A. resign B. recover C. retrain D. resist53.A. interests B. ideas C. proposals D. instructions54.A. legal B. logical C. unlike D. unsuitable55.A. examining B. separating C. resetting D. discipliningSection BAThe Hawthorne experiment was conducted in the late 1920s and early 1930s. The management of Western Electric's Hawthorne plant, located near Chicago, wanted to find out if environmental factors, such as lighting, could affect workers' productivity and morale. A team of social scientists experimented with a small group of employees who were set apart from their coworkers. The environmental conditions of this group's work area were controlled, and the subjects themselves were closely observed. To the great surprise of the researchers, the productivity of these workers increased in response to any change in their environmental conditions. The rate of work increased even when the changes (such as a sharp decrease in the level of light in the workplace) seemed unlikely to have such an effect.It was concluded that the presence of the observers had caused the workers in the experimental group to feel special. As a result, the employees came to know and trust one another, and they developed a strong belief in the importance of their job. The researchers believed that this, not the changes in the work environment, accounted for the increased productivity.第3页/ 共11页A later reanalysis of the study data challenged the Hawthorne conclusions on the grounds that the changes in patterns of human relations, considered so important by the original researchers, were never measured. However, even if the original conclusions must be revised, they nonetheless raise a problem for social scientists: Research subjects who know they are being studied can change their behavior. Throughout the social sciences, this phenomenon has come to be called the Hawthorne effects.56. The author implies that a sharp decrease in light increased workers' output becauseA. the workers experienced less eyestrain in a dark working placeB. the workers had to pay 1nore attention to what they were doingC. the workers knew they were being observed, and this motivated themD. the 11'orkers in the experiment were paid more than other workers57. The pattern of organization of the second paragraph isA. list of itemsB. time orderC. definition and exampleD. cause and effect58. The Hawthorne experiment suggests thatA. workers' attitudes are more important than their environmentB. social scientists are good workersC. productivity in electric plants tends to be lowD even those who were not y the experiment improved their productivity59. The author’s main purpose isA. To explain the Hawthorne effectB. to prove the importance of researchC. to amuse with a surprising experimentD. to suggest ideas for future researchBJoin IMDb and Become a Founding Supporter of the Academy Museum of Motion PicturesThe Academy of Motion Pictures & Sciences is building the world's leading movie museum in the heart of Los Angeles. The Academy Museum of Motion pictures, scheduled to open in 2017, will contain six stories of state-of-the-art galleries, exhibition spaces, movie theaters and educational areas. Through groundbreaking exhibitions and innovative programming, the Museum will explore how Hollywood and the film industry have shaped culture and creativity around the world. Designed by Renzo Piano, the Academy Museum will be located next to the Los Angeles County Museum of Art (LACMA) campus in the landmarked Wilshire May Company Building.To help ensure this long-held dream of the Academy becomes a reality, the Academy has launched a $300 million fundraising campaign, led by Bob Iger, Annette第4页/ 共11页Bening and Tom Hanks. We hope you can join IMDb and the Academy Museum's community of early supporters by making a gift to the campaign today. Or, sign up for the Academy Museum mailing list to hear about upcoming museum events and developments.Donate NowHelp make move history and join in elite group of supporters, including IMDb, by making your contribution today.To see a full list of the Academy Museum founding supporters, click here. If you would like to make a donation or learn more about naming opportunities, please contact Christine Joyce Rodriguez, Manager of Annual Giving, at Christine. Rodriguez@ or 310 247 304060. The Academy of Motion Pictures is locatedA. in the downtown area of Los AngelesB. in the suburb of the city of Los AngelesC. in the Los Angeles County Museum of ArtD. in the centre of Wilshire May Company61. The Academy of Motion Pictures will focus onA. the exhibition of film equipmentB. the impact of film industry on world cultureC. the popularity of Hollywood movie cultureD. the achievements of American galleries and theatres62. The passage is intended to .A. promote the Academy Museum and make movie historyB. arouse people's interest in the Academy MuseumC. raise enough money for the Academy MuseumD. help realize the Academy Museum founding supporters’ dreamsCTo live in the United States today is to gain an appreciation for Dahrendorf’s declaration that social change exists everywhere. Technology, the application of knowledge for practical ends, is a major source of social change.Yet we would do well to remind ourselves that technology is human creation; it does not exist naturally. A spear or a robot is as much a cultural as a physical object. Until human use a spear to hunt game or a robot to produce machine parts, neither is much more than a solid mass of matter. For a bird looking for an object on which to rest, a spear or robot serves the purpose equally well. The explosion of the Challenger space shuttle and the Russian nuclear accident at Chernobyl drive home the human quality of technology; they provide cases in which well-planned systems suddenly went haywire and there was no ready hand to set them right. Since technology is a human creation, we are responsible for what is done with it. Pessimists worry that we will use our technology eventually to第5页/ 共11页blow our world and ourselves to pieces. But they have been saying this for decades, and so far we have managed to survive and even flourish. Whether we will continue to do so in the years ahead remains uncertain. Clearly, the impact of technology on our lives deserves a closer examination.Few technological developments have had a greater impact on our lives than the computer revolution. Scientists and engineers have designed specialized machines that can do the tasks that once only people could do. There are those who declare that the switch to an information-based economy is in the same camp as other great historical milestones, particularly the industrial Revolution. Yet when we ask why the Industrial Revolution was a revolution, we find that it was not the machines. The primary reason why it was revolutionary is that it led to great social change. It gave rise to mass production and, through mass production, to a society in which wealth was not restricted to the few.In somewhat similar fashion, computers promise to revolutionize the structure of American life particularly as they free the human mind and open new possibilities in knowledge and communication. The Industrial Revolution supplemented and replaced the muscles of humans and animals by mechanical methods. The computer extends this development to supplement and replace some aspects of the mind of human beings by electronic methods. It is the capacity of the computer for solving problems and making decisions that represents its greatest potential and that poses the greatest difficulties in predicting impact on society.63. Why does the author give the examples of the challenger and Chernobyl?A. To show that technology could be used to destroy our world.B. To stress the author’s concern about the safety of complex technology.C. To prove that technology usually goes wrong, if not controlled by man.D. To demonstrate that being a human creation, technology is likely to make an error64. What does the phrase “went haywire” in paragraph 2 most probably mean?A. were out of rangeB. went out of dateC. fell out of useD. got out of control65. According to the author, the introduction of the computer is a revolution mainly becauseA. the computer has revolutionized the workings of the human mindB. the computer can do the tasks that could only be done by people beforeC. it has helped to switch to an information technologyD. it has a great potential impact on society66. In the passage, the author clearly shows hisA. keen insight into the nature of technology第6页/ 共11页B. sharp criticism of the role of the Industrial RevolutionC. thorough analysis of the replacement of the human mind by computersD. comprehensive description of the negative consequences of technologySection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.Picture two accountants alerted to suspicious entries in the books. The first takes the violation seriously. The second thinks it’s not a big deal. Who has more power? _____67_____ Powerful people break the rules—therefore, breaking rules makes one seem more powerful.“In its modest form, rule breaking is actually healthy,” says Zhen Zhang of Arizona State University. He found that relatively minor violations during adolescence—damaging property, playing hooky—predicted an admired occupation: entrepreneur.When young men, in particular, take risks that succeed, testosterone levels surge. The hormone may underlie the “winner effect,” say researchers John Coates and Joe Herbert of the University of Cambridge, who tracked the hormonal activity of stock option traders (again, all male) over their good and bad days in the market._____68_____But at a certain point, risk taking can become illogical. This can cause “ethical numbing(道德麻木).” Consider Steve Jobs: As Apple grew, so did lawsuits against it, like those over patents.Being wealthy has a moral effect on both genders. Studies have found that the $150,000-plus-per-year set was four times as likely to cheat as those making less than $15,000 a year when playing a game to win $50. The rich didn’t stop for pedestrians at a crosswalk nearly as often as less-wealthy drivers. ______69_______That’s because environment—not personality—encourage rule breaking, argues Andy Yap, a behavioral scientist. Yap and his colleagues asked volunteers to sit in an SUV-size driver’s seat versus a crowded one or an executive-size office space versus a cubicle(小隔间) and then tested their responses to various moral evens. ______70_______第7页/ 共11页IV. Summary WritingDirections:Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.Judging from recent surveys, most experts in sleep behavior agree that there is virtually an epidemic (流行病) of sleepiness in the nation. “I can’t think of a single study that hasn’t found Americans getting less sleep than they ought to,” says Dr. David. Even people who think they are sleeping enough would probably be better off with more rest.The beginning of our sleep-deficit (睡眠不足) crisis can be traced to the invention of the light bulb a century ago. From diary entries and other personal accounts from the 18th and 19th centuries, sleep scientists have reached the conclusion that the average person used to sleep about 9.5 hours a night. “The best sleep habits once were forced on us, when we had nothing to do in the evening down on the farm, and it was dark.” By the 1950s and 1960s, the sleep schedule had been reduced dramatically, to between 7.5 and eight hours, and most people had to wake to an alarm clock. “People cheat on their sleep, and they don’t even realize they’re doing it,” says Dr. David. “They think they’re okay because they can get by on 6.5 hours, when they really need 7.5, eight or even more to feel ideally vigorous.”Perhaps the most merciless robber of sleep, researchers say is the complexity of the day. Whenever pressures from work, family, friends and community mount, many people consider sleep the least expensive item on his programme. “In our society, you’re considered dynamic if you say you only need 5.5 hours’ sleep. If you’re got to get 8.5 hours, people think you lack drive and ambition.”To determine the consequences of sleep deficit, researchers have put subjects through a set of psychological and performance tests requiring them, for instance, to add columns of numbers or recall a passage read to them only minutes earlier. “We’ve found that if you’re in sleep deficit, performance suffers,” says Dr. David. “Short-term memory is weakened, as are abilities to make decisions and to concentrate.”第II卷V. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.72. 在公园里玩耍的孩子们让老人想起了他快乐的童年。
上海市建平中学、交通大学附属中学2017届高三上学期周练英语试题
2016-2017学年建平中学联合交大附中高三周练II. Grammar and VocabularySection A (10%)Directions: After reading the sentences or passages below, fill in the blanks to make the sentences or passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each other.The world’s (1)__________(famous)heart surgeon,the Egyptian Professor, Sir Magdi Yacoub, has transplanted more hearts than anyone else. To the countless people whose lives he has transformed and saved, he is a hero. Professor Yacoub (2)_____________(inspire) in his work by his father, who was a general surgeon.Now 66 years old, professor Yacoub still retains his energy and extraordinary enthusiasm for his career. For 43 years, he has dealt with desperate patients(3)__________combination pf poor diet, inactive lifestyle and stress overload have caused them to ask for his help.(4)_________ ___________all these experiences, he is very aware of the role of good nutrition and regular exercise in maintaining good health. He eats very well and swims early each morning.Professor Yacoub’s life is always hectic(狂热的). (5)____________a donor heart has suddenly been found, then an operation has to take place quickly. He works long hours; he says there are no regular hours for a heart surgeon, as the surgery _________take place when it needs to be carried out.For relaxation, professor Yacoub enjoys (7)___________(garden) even grows orchids, One dream of his is to go to the Amazon one day(8)________(see) the rare plants there. He is patron of the Chain of Hope charity, which aims to take medical expense to the developing world. Specialist teams give their time free and travel all over the world to places such as Mozambique and Jamaica to train local surgeons in techniques that (9)________ (save) lives .This charity also brings needy children to the West (10)___________necessary heart surgery.Section BDirections:Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.(A)Valuable By-Products of Space ResearchResearch that went into d eveloping the highly specialized technol ogy for space travel has resulted in many unexpected 21 applications back on earth. Out of the engineering that produced rocket motor, space suits, and other necessities of space flight came by products that no one had anticipated. Equipment and 22 designed for use in medicine, industry, and the home, these valuable by products of space research, called spin offs, have improved the quality of life on earth in many ways.Some of the best-known exampl es of spin-offs from space research are found in hospitals and d octors' offices. One such example is the sight switch, which was originally developed to all ow astronauts to control their spacecraft without using their hands. It is now used by 23 people to operate devices using eye movements.Doctors have also benefited from the technol ogy required to make electronic instruments small enough and durable enough for trips into space. From this technol ogy have come hearing aids the size of an aspirin and tel evision cameras small enough to be 24 to a surgeon's head to give medical stud ents a close-up view of an operation.Biotelemetry, which was d eveloped to 25 the physical signs of astronauts by checking their temperature, brain-wave activity, breathing rate, and heartbeat, offers doctors a new means of monitoring hospital patients. Biosensors attached to the body send data by wire or radio. This information is displayed on 26 for doctors to analyze.One of the most valuabl e 27 of aerospace technol ogy to industry is a management technique called the systems approach. With the aid of computers, this technique brings together all the elements of a complex project, including people, money, and materials, to assure that everything is completed at the optimum time. It has been applied to a variety of situations 28 to space exploration. Among them are cancer research, hospital d esign, city planning, crime detection, pollution control, building construction, and transportation.The experience gained from devel oping NASA spacesuits was applied to the process of designing clothing for use in other 29 . Firefighters now have lighter and special fire blocking materials that are more 30 to cracking and burning. Spacers used for cushioning in moon boots were adapted for use in athletic shoes that are designed to reduce fatigue and injury.(B)If your parents take out a loan, remind them to make the payments on time. Otherwise it will become a(n) 31 record in their personal credit reports, which are playing a(n) 32 big role in people's daily lives. A story carried by Chongqing Morning Post in June, 33 this trend.According to the report, a Chongqing stud ent borrowed money from the bank to 34 his university studies. After he graduated in 2005, he went to work in Shenzhen. Later, he wanted to buy a house using loans. But several banks turned d own his loan 35 . The reason was that he had not paid back 1,500 yuan he borrowed from a bank when he was at university.A personal credit rating is becoming a(n) 36 “pass” in everyday life, as China establishes a nationwide credit database. Personal credit systems go back 150 years. In developed countries, enterprises and banks use them to decide whether or not to loan money or d o other business with a person.A credit report 37 the credit worthiness of an individual, a company, or even a country. It is a(n)38 made by credit bureaus of a borrower's overall credit history and his or her ability to repay debt. A poor credit rating means a high risk of d efaulting on a l oan, and thus leads to the 39 of a loan by the l ender.Today in China, credit history in banks is the major 40 of a credit report. But in the future, reports will include information about the payment of tel ephone bills, water use fees, electricity and natural gas bills, and taxes, according to officials of the People's Bank of China, the central bank.The secrets of long lifeA long healthy life is no accident. It begins with good genes, but it also depends on good ___41___. So what’s the formula for success? In a recent study, scientists have focused on groups living in several refions where exceptional longevity is the norm: Sardinia, Italy, Loma Linda, California, and the islands of Okinawa, Japan.SardiniansWhy do they live so long? __42__ is part of the answer. By 11 a.m. Tonino has already milked four cows, chopped wood and walked fou r miles with his sheep. Now, taking the day’s first break, he gathers his grown children, grandson, around the kitchen table. Giovanna, his wife, unties a handkerchief containing a paper-thin flatbread called carta da musica, pours some red wine, and cut slices of homemade cheese.These Sardinians also benefit from their __43__ history. According to Paolo Francalacci of the University of Sassari, 80 percent of them are __44__the first Sardinians, who arrived in the area 11,000 years ago. Genetic traits made stronger over generations may favor longevity. __45__, too, is a factor.The Sardinians diet is loaded with fruits and vegetables, milk and milk products, fish and wine. Most of these items are homegrown.AdventistsThe study found that the Adventists’ habit of consuming beans, soy milk, tomatoes, and other fruits __46__their risk of developing certain cancers. It also suggested that eating whole wheat bread, drinking five glasses of water a day, and, most __47__, consuming four servings of nuts a week reduced their risk of heart disease. And it found that not eating red meat had been helpful in avoiding both cancer and heart disease.OkinawansThe first thing you notice about Ushi Okushima is her __48__. It fills the room with pure joy. This rainy afternoon she sits comfortably wrapped in a blue kimono. Her thick hair is combed back from her suntanned face, revealing alert green, eyes. Not long ago, she started wearing perfume. When asked about the perfume, she __49__that she has a new boyfriend.__50__behavior for a young woman, perhaps, but Ushi is 103.With an average life expectancy of 78 years for men and 86 years for women, Okinawans are among the world’s longest lived people. This is undoubtedly due in part to Okinawans warm and __51__ climate and scenic beauty. Senior citizens living in these islands tend to enjoy years __52__disabilities. Okinawans have very low rates of cancer and heart disease compared to American seniors.A lean diet of food grown on the island and a philosophy of __53__--- may also be a factor. “eat until your stomach is 80 percent full.” may also be factors. Ironically, this healthy way of eating was born of __54__.Ushi Okushima grew up barefoot and poor, her family grew sweet potatoes, which formed the core of every meal. During World War II, when the men of the island joined the army, Ushi and her friend Setsuko fled to the center of the island with their children. “We __55__ terrible hunger,” Setsuko recalls.41 A. habits B. parents C. efforts D. secrets42 A. Companion B. Lifestyle C. Environment D. Birthplace43 A. unique B. fantastic C. genetic D. religious44 A. curious about B. related to C. fond of D. senior to45 A. Inheritance B. Gene C. Nutrition D. Peace46 A. accepted B. evaluated C. increased D. lowered47 A. surprisingly B. originally C. unexpectedly D. miserably48 A. dressing B. identification C. laugh D. expression49 A. proposes B. assumes C. jokes D. denies50 A. Aggressive B. Violent C. Disorderly D. Predictable51 A. changing B. inviting C. extreme D. tropical52 A. suffering from B. overcoming C. free from D. recovering53 A. moderation B. feasibility C. evolution D. identification54 A. wealth B. hardship C. orphan D. harmony55 A. died of B. satisfied C. experienced D. kept off(B)In today's American society, background checks have become a routine part of hiring process. Employers use them to assess ___56____ workers, judging whether they are qualified for the posts. Through background checks, employers can also make sure that the information applicants provide is ____57___, which suggests the applicants' moral quality.Then what do background checks investigate? Many ____58___ a review of the employee's ___59____ history trying to confirm whether the employee has ever been fired or forced to resign. Employers also pay attention to the length of unemployment, afraid that long-time absence from ___60____ may bring negative influence to the employee's performance. Sometimes, an applicant's residential history is also an issue. Jobs with state or local governments often require that the employee live in certain areas, ___61____the chances for them to have contact with ill-intentioned people. Besides, living near the work place is always ___62____as it saves time and fares on transportation. Another item which can't be ____63___ is the applicant's criminal history --- whether he has ever been arrested or put into prison. Although __64__ offences like traffic ticketing or queue jumping are usually pardoned, breaking a criminal law is rarely spared and, in most cases, is sure to result in the ____65___ of the employment. Then comes the social history. A background check that involves the applicant's social history is generally needed for government posts or employment in finance and law industries that require greater self-dicipline. A small mistake in these ____66___ may result in huge loss. The investigation usually checks drug use, family relationships and social contacts, in order to avoid ___67____someone unsuitable for the posts. Background investigators who look into social history may interview neighbors and professional references recognized by th e applicant.Finally in the field of education background, an application form may ask for copies of licenses or university diplomas to show the applicant's __68__ performances. In many instances, an education background check is so particular about ____69___ that investigators even confirm the date on which the employee earned his degree to determine if it ___70____ the information the employee provided on his application.56. A. efficient B. special C. potential D. ordinary57. A. truthful B. adequate C. meaningful D. competitive58. A. explain B. imply C. describe D. include59. A. health B employment C. study D. finance60. A. work B. school C. family D. education61. A. standing B. reducing C. promoting D. offering62. A. difficult B. impossibleC. welcomeD. flexible63. A. developed B. estimated C. included D. neglected64. A. reasonable B. normal C. minor D. easy65. A. ending B. spreading C. continying D. protecting66. A. degrees B. checks C. contacts D. posts67. A. omitting B. rejecting C. hiring D. rewarding68 A. professional B. academic C. social D. athletic69. A. scores B. interests C. behaviors D. details70. A. refers to B. agrees with C. keeps up D. brings aboutBiology may not be everything, but genes apparently have a far greater influence on human behavior than is commonly thought. Similarities ranging from hobbies to bodily gesture are being found in pairsseparated at birth. Many of these behaviors are “things you would never think of looking at if you were going to study the genetics of behavior,” says psychologist Thomas J. Bouchard, Jr. , director of the Minnesota Center for Twin and Adoption Research at the University of Minnesota.Bouchard reports that so far, exhaustive psychological tests and questionnaires have been completed with approximately 50 pairs of identical twins reared apart, 25pairs of fraternal twins reared apart and compariso n groups of twins reared together. “We were amazed at the similarity in posture and expressive style,” says Bouchard. “It’s probably the feature of the study that’s grabbed us the most.” Twins tend to have similar mannerisms, gestures, speed and tempo in talking, habits and jokes. Many of the twins dressed in similar fashion--one male pair who had never previously met arrived in England sporting identical beards, haircuts, glasses and shirts.The most striking example of common psychopathology(精神病理学)however, came from a pair of twins raised apart. One had been reared by his own(poor) family the other had been adopted into a “good solid upper-middle-class family.” Both are now considered to be antisocial personalities, suffering from lack of impulse control, and both have criminal histories. Although the twins share, on average, 50 percent ot their genes, Bouchard suggests that the overlap is probably considerably more with this pair.Personality similarities between the identical twins raised apart are almost the same as they are with identical twins raised together, according to the results of a test developed by University of Minnesota psychologist Auke Tellegen. His personality questionnaire contains scales such as “social closeness,””harm avoi dance”and”well-being.”The researchers were especially surprised to find that”traditionalism”--a trait implying conservatism and respect for authority--can be inherited. In fact, says Bouchard, his and other studies have found about 11 personality traits that appear to have significant genetic input.Overall, the emerging findings of the Minnesota study constitute a powerful disproof of those who maintain that environmental influences are the primary shaping forces of personality. The textbooks are going to have to be rewritten, Bouchard predicts.80.Why does Bouchard say these behaviors are “things you would never think of looking at if you were going to study the genetics of behavior?”A. These behaviors seemed too unimportant for scientists to observe.B. These behaviors seemed too intimate to allow scientists to observe them.C. Psychologists assumed these external characteristics could not be biologically based.D. Psychologists assumed the causes of these behaviors were too complicated for current methods of observations.81.The word “identical”(in para.3) most probably means________.A. fashionableB. alikeC. complexD. identified82.According to the passage, Auke Tellegen agrees that _______________.A.some textbooks on genes and behavior will be rewritten quite soon.B.people’s behaviors and personalities depend at large on their genesC.his personality questionnaire can indicate people’s 11 personality traitsD.the environmental influences have great effect on people’s personalities81.What does the passage mainly talk about?A. Twins generally share the same hobbies and gestures if they are raised apart.B. Genes have a greater influence on human behavior than is commonly thought.C. People from upper-middle-class family are the same as those from poor family.D. Twins tend to dress in similar fashion even when brought up in different families.Section CDirections: Complete the following passage by using the sentences given below. Each sentence can be used only once. Note that there are two more sentences than you need.Sports stars have a natural advantageScientists have identified the clear biological advantages that give the world’s sporting champions a head start in life before they have even begun their rigorous training programmes.The coach for the French Olympic team says:” we measure special attributes between the ages of 16 and 18. But only one in 10,000 people has the physical aspects needed to compete at the very top level in sporting events. _82____ . We take into account the height, strength and endurance of a person. We also regard mental application as important, how an individual reacts when the competition gets really tough.”Scientists say that medical evidence is playing an increasingly important role in the selection of athletes. A study of the 40-year dominance of Kenyan runners in long distance athletic events has revealed that 45 percent of them come from the Nandi tribe. What is remarkable is that this tribe makes up only 3 percent of the Kenyan population.__83_____. Athletic organizations consider these genetic factors a good indicator when selecting sthletes to produce superior running performances.__84____. For example, David Beckham’s bandy legs have been partly credited with helping to put a spin on the football when he takes a free kick for England. Other biological characteristics are more measurable. The American tennis player, Andy Roddick, has the fastest serve in the game. He is able to arch his back so much that it increases the rotation of his arm to 130 degrees. This is 44 percent better than the average professional player and this allows them to drive the ball over the net at 240 kilometers per hour. Michael Phelps, the 14-times Olympic swimming champion has over-sized feet which act like flippers to propel him through the water.__85_____. Mia Hamm, probably the best all-round woman footballer in the world, produces less than one liter of sweat an hour when doing vigorous exercise, which is half the human average. When it comes to speed, take the example of woman racing driver, Liz Halliday. A normal person would take 300 milliseconds to make a reactive decision. She can do it in 260 milliseconds. It may not sound much quicker but at top race speeds, this makes a difference of three car lengths.The difference between success and failure is very small and all these biological factors are crucial in finding future champions.Hitting the right buttonIt has been found that in some countries, achievement in some subjects at school is not always good for boys as it is girls. It is possible that using computers may be a way to solve this problem.Many boys seem to have a natural liking for computers, but it can often be hard to leave the screen and concentrate on the work the teacher wants them to do.As computers are becoming more and more important in the world of education today, it is natural to assume that computers can help greatly with boys who do not do too well at school and need to raise theirgeneral educational standards. Many boys appear to be more confident than girls in using it, and they need to use computers more frequently, especially at home.Researchers at universities now think that it could be a really good way of re-engaging under-achieving boys in the learning process, and teachers have indicated that it does work. They have found that, although lots of boys do not seem to like writing in the classroom, when they use a computer they are more wiling to compose longer pieces of writing and use different styles. The issue of unintelligible handwriting is no longer a problem, either, as the neatness and presentation standards rise when boys use a computer to print out their work.Many boys welcome the “hands on” approach of computer. However, researchers and teachers need to be carefu l that boys don’t just “cut and paste”things that they have found on the internet, but haven’t read, and hand it in as a completed assignment. Some boys overestimate how good they are and think they can do things without any effort. They need to develop proper research skills and make their written work more structured. Other boys take short cuts, or look at internet sites they haven’t been asked to look at. They may not plan or think carefully about their work, or they may try to finish their work quickly. This tendency is not going to be completely cured by using computers. One way to get boys to concentrate properly on the work they have been asked to do may be to encourage them to use their computers at home. However, they also need to be set tasks that are interesting and relevant to them.As in all things, the interaction between the pupil, the teacher and the computer is crucial.Translation:1.你知道如何给别人留下美好的印象吗?(leave)2.知道那时我才意识到我也许是最后知道这件事的人。
上海市建平中学2017届高三上学期期中考试英语试题
上海市建平中学2017届⾼三上学期期中考试英语试题2016学年第⼀学期建平中学期中考试英语试卷出卷⼈:⾼三英语组审卷⼈:Calvin,Gloria,JadarI. Listening Comprehension (25%)Section A Short ConversationsDirections: In Section A, you will hear ten short conversations between two speakers. At theend of each conversation, a question will be asked about what was said. The conversationsand the questions will be spoken only once. After you hear a conversation and the questionabout it, read the four possible answers on your paper, and decide which one is the bestanswer to the questionyou haveheard.1. A. At a theatre. B. At a train station.C. At anairport.D. At arestaurant.2. A. $1.5 B. $4.5 C. $6.5 D. $8.53.A. They shouldn’t changetheir plan.B. They’d better changetheir mind.C. The tennis game won’tlast long.D. The weather forecastis not reliable.4.A. Tom was killed in theaccident.B. Someone savedTom’s life.C. It did little damage toTom’s car.D. Tom survived theaccident.5. A. He will impress everybody with the presentation.B. He thinks she will do as good a job as she did last time.C. She will be successful if she practice more.D. She has good reason to worry about the speech.6.A. Teacher and students. B. Doctor and patient.C. Manager and office worker.D. Travel agent and customer.7.A. He is too busy himself. B. He doesn’t want to help her.C. He’d be glad to help after finishing his own work.D. He has already finished his own work.8.A. They are reading a newspaper. B. They are watching TV.C. They are discussing new foreign films.D. They are talking about their weekends.9. A. The battery is not correctly positioned.B. She doesn’t know how the calculator works.C. The calculator needs a new battery.D. The man should enter the number in a different way.10. A. The advertised jobs are in French and Spanish.B. The notice appeared in French and Spanish newspapers.C. She would like to teach the man French and Spanish.D. French and Spanish are necessary for the job.Section B PassagesDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11 . A. London. B. Tango. C. Korea. D. Nigeria.112. A. hospitals. B. gas production sites. C. chemical plants. D. power plants.13. A. Whether they should hold discussions during the G8 summit.B. Whether they should work together to control world oil prices.C. Which country the four islands belong to, Japan or Russia.D. Whether the two islands should be occupied by Russia.Questions 14 through 16 are based on the following passage.14. A. Thinking about the needs old others.B. To be old enough to understand how to cooperate.C. The beginning of learning how to communicate.D. From the first day at school.15. A. It’s hard for three-year-old to learn to share because they are too young to think.B. Four-year-old children could not share because they are still thinking about their own needs.C. Children begin to understand how to cooperate with others at about seven years old.D. Many children begin to share some of their things at about six years of age.16. A. When playing in groups you may decide which toy belongs to which child.B. If a child wants a toy back, he will have to ask the care provider for it.C. It’s very important for adults to do so because children will copy what they do.D. Care providers need to be patient and explain everything in a way children understand.Section C Longer ConversationsDirections: In Section C, you will hear two longer conversations. The conversations will beread twice. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.Questions 17 to 20 are based on the following conversation.17. A. Make an appointment for an interview.B. Send in an application letter.C. Fill in an application form.D. Make a brief self-introduction on the phone.18. A. Someone having a college degree in advertising.B. Someone experienced in business management.C. Someone ready to take on more responsibilities.D. Someone willing to work beyond regular hours.19. A. Travel opportunities.B. Handsome pay.C. Prospects for promotion.D. Flexible working hours.20. A. It depends on the working hours.B. It is about 500 pounds a week.C. It will be set by the Human Resources.D. It is to be negotiated.2II. Grammar and vocabularySection ADirections: After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.A friend of mine, in response to a conversation we were having about the injustices of life, asked me the question: “Who said life was going to be fair, or that it was even meant to be fair?”Her question was a good one, which reminded me of something I (21)______ (teach) as a youngster---life isn’t fair. One of the mistakes many of us make is that we feel sorry for ourselves or for others, (22)______ (think) that life should be fair or that someday it will be. It’s not and it won’t.One of the nice things about accepting the fact that life isn’t fair is (23)_______ it keeps us from feeling sorry for ourselves by encouraging us to do (24)_______ we can with what we have. Accepting this fact also keeps (25)_______ from feeling sorry for others because we are reminded that everyone is dealt a different hand; everyone has unique strengths and problems in the process of growing up, facing the reality and making decisions and, everyone has those times (26)_______they feel wounded or unfairly treated.The fact that life isn’t fair doesn’t mean we shouldn’t do everything (27)_______ our power to improve our own lives or the world as a whole. On the contrary, it suggests that we should. When we don’t recognize or admit life isn’t fair, we tend to feel pity for others and for ourselves, a self-defeating emotion that does nothing except (28)________(make) everyone feel worse. When we do recognize life isn’t fair, however, we feel sympathy for others and for ourselves. And sympathy is a heartfelt emotion that (29)_________(deliver) loving kindness to everyone it touches. The next time you find yourself (30)_________(absorb) in the injustices of the world, try reminding yourself of this very basic fact. You may be surprised that it can push you out of self-pity and into helpful action.Section BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.A.markedB. advocateC. persuasiveD. focusedE. distinctF. absenceG.progressive H.comparatively I. partlyJ.postponing K. risingTwenty years ago there was a debate about whether there were specific “Asian values.” Most attention ___31___ on the doubtful claims that democracy was not among them. But a more interesting, if less noticed, argument was that traditional family values were strong in Asia than in America and Europe, and that this ___32__ accounted for Asia’s economic success. In the words ofLee Kuan Yew, former prime minister of Singapore and a keen ___33__ of Asian values, the Chinese family encouraged “scholarship and hard work and thrift and deferment(推迟) of present enjoyment for future gain.”On the face of it his claim still appears ___34___. In most of Asia, marriage is widespread and illegitimacy (私⽣) almost unknown. In contrast, half of marriages in some western countries end in divorce, and half of all children are born outside wedlock. The recent riots across Britain, whose3origin many believe in a(n) ___35___ of either parental guidance or filial(⼦⼥的) respect, seems to underline a profound difference between East and West.Yet marriage is changing fast in East, South-East and South Asia, even though each region has different traditions. The changes are ___36____ from those that took place in the West in the second half of the 20th century. Divorce, though ___37___ in some countries, remains___38__ rare. What’s happening in Asia is a flight from marriage.Marriage rates are falling partly because people are ___39___ getting married. Marriage ages have risen all over the world, but the increase is particularly ___40___ in Asia. People there now marry even later than they do in the West.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.The Term “CYBERSPACE” was coined by Williamclip_image002Gibson, a science-fiction writer. He first used it in a short story in 1982, and expanded on it a couple of years later in a novel Neuromancer. His ___41___ creation turned out to be remarkably prescient(有先见之明). Cyberspace has become shorthand for the computing devices, networks, fiber-opticcables, and wireless links that bring the internet to billions of people around the world. The____42___made by these technologies have brought tremendous benefits to everyone who uses the web to ____43_____ humanity’s collective store of knowledge every day.But there is a darker side to this extraordinary invention. Data ____44____are becoming ever bigger and more common. Last year over 800m records were lost, mainly through attacks. Among the most prominent recent ____45___ has been Target, whose chief executive stood down from his job in May, a few months after the giant retailer ____46___ that online intruders had stolen millions of digital records about its customers, including credit- and debit-card details.The potential damage, though, extends well beyond such ____47___ intrusion. Wider___48____have been raised by the realization of a growing numbers of cyber-warriors being recruited by countries that see cyberspace as a new territory of warfare. America’s president,BarackObama, said in a White House press release that cyber-threats “__49___ one of the gravest national-security dangers” the country is facing.Securing cyberspace is hard because the architecture of the internet was designed to promote connectivity, not ___50___. Its founders focused on getting it to work and did not____51____threats because the network was attached to America’s military. As hackers____52____, layers of security, from antivirus programs to firewalls, were added to try to keep them at bay. Gartner, a research firm, admits that last year organizations around the globe spent $67 billion on information security.____53___, these defenses have worked reasonably well. Despite the talk about the risk of a“cyber 9/11”, the internet has proved remarkably ___54____. Hundreds of millions of people turn on their computers every day and bank online, shop at ___55___stores, share gossip and photos with their friends on social networks and send all kinds of sensitive data over the web without ill4effect. Companies and governments are shifting ever more services online.41.A. technical B. literary C. deliberate D. noble42.A. senses B. restrictions C. connections D. differences43.A. break through B. keep back C. stand for D. tap into44.A. collections B. mistakes C. leaks D. sources45.A. hackers B. agencies C. critics D. victims46.A. assessed B. insisted C. revealed D. concluded47.A. social B. cultural C. civil D. commercial48.A. gaps B. contacts C. effects D. concerns49.A. pose B. solve C. maintain D. reduce50.A. availability B. security C. temptation D. preservation51.A. worry about B. specialize in C. keep away D. put off52.A. broke down B. turned up C. fell apart D. shut down53.A. Of course B. In another word C. On the whole D. Above all54.A. calm and stable B. fun and fashionableC. profitable and productiveD. wild and well-received55.A. luxurious B. favorite C. virtual D. convenienceSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)clip_image004E-learning-An Alternative Learning OpportunityDay school ProgramSecondary students across Toronto District School Board(TDSB) are invited to take one or two e-Learning courses on their day school timetable. Students will remain on the roll at their day school.The on-line classroom provides an innovative relevant and interactive learning environment. Thecourses and on-line classroom are provided by the Ministry of Education.These on-line coursesare taught by TDSB secondary school teachersare part of the TDSB student’s timetableappear on the student’s report upon completionBenefits of e-LearningInclude:Access to courses that may not be available at his or her TDSB schoolUsing technology to provide students with current information5assistance to solve timetable conflictsIs e-Learning for You?Students who are successful in on-line course are usuallyable to plan, organize time and complete assignments and activitiescapable of working independently in a responsible and honest mannerable to regularly use a computer or mobile device with internet accessStudents need to spend at least as much time with their on-line course work as they would in a face-to-face classroom course.56. E-Learning courses are different from other TDSB courses in that __________.A. they are given by best TDSB teachers.B. they are not on the day school timetable.C. they are not included on students’ reports.D. they are an addition to TDSB courses.57. What do students need to do before completing e-learning courses?A. To learn information technology on-line.B. To do their assignments independently.C. To update their mobile devices regularly.D. To talk face to face with their teachers.58. What can be inferred about the online course from the advertisement?A. The on-line course is free of charge.B. Students will use electronic devices in the on-line course.C. Little communication with teachers is needed in the on-line course.D. When timetable conflicts, priority should be given to the on-line course.(B)It’s an annual argument. Do we or do we not go on holiday? My partner says no because the boiler could go, or the roof fall off, and we have no savings to save us. I say you only live once and we work hard and what’s the point if you can’t go on holiday. The joy of a recession means no argument next year – we just won’t go.Since money is known to be one of the things most likely to bring a relationship to its knees, we should be grateful. For many families the recession means more than not booking a holiday. A YouGov poll of 2,000 people found 22% said they were arguing more with their partners because of concerns about money. What’s less clear is whether divorce and separation rates rise in a recession– financial pressures mean couples argue more but make splitting up less affordable. A recent research shows arguments about money were especially damaging to couples. Disputes were characterised by intense verbal aggression, tended to be repeated and not resolved, and made men, more than women, extremely angry.6Kim Stephenson, an occupational psychologist, believes money is such a big deal because of what it symbolises, which may be different things to men and women. “People can say the same things about money but have different ideas of what it’s for,” he explains. “They’ll say it’s to save, to spend, for security, for freedom, to show someone you love them.” He says men are more likely to see money as a way of buying status and of showing their parents that they’ve achieved something.“The biggest problem is that couples assume each other knows what’s going on with their finances, but they don’t. There seems to be more of a taboo (禁忌) about talking about money than about death. But you both need to know what you’re doing, who’s paying what into the joint account and how much you keep separately. In a healthy relationship, you don’t have to agree about money, but you have to talk about it.”59. What does the author say about vacationing?A. People enjoy it all the more during a recession.B. It is the chief cause of family disputes.C. It makes all the hard work worthwhile.D. Few people can afford it without working hard.60. What does the author mean by saying “money is known ... to bring a relationship to its knees”(Lines 1-2, Para. 2)?A. Money is considered to be the root of all evils.B. Few people can resist the temptation of money.C. Some people sacrifice their dignity for money.D. Disputes over money may ruin a relationship.61. The YouGov poll of 2,000 people indicates that in a recession ________.A. conflicts between couples tend to riseB. couples show more concern for each otherC. it is more expensive for couples to split upD. divorce and separation rates increase62. The author suggests at the end of the passage that couples should ________.A. put their money together instead of keeping it separatelyB. make efforts to reach agreement on their family budgetsC. discuss money matters to maintain a healthy relationshipD. avoid arguing about money matters to remain romantic(C)Attachment Parenting is not Indulgent Parenting. Attachment parents do not "spoil" their children. Spoiling is done when a child is given everything that they want regardless of what they need and regardless of what is practical. Indulgent parents give toys for tantrums(发脾⽓), ice cream for breakfast. Attachment parents don't give their children everything that they want, they give their children everything that they need. Attachment parents believe that love and comfort are free and necessary. Not sweets or toys.Attachment Parenting is not "afraid of tears" parenting. Our kids cry. The difference is that we understand that tantrums and tears come from emotions and not manipulation. And our children understand this too, They cry and have tantrums sometimes, of course. But they do this because their emotions are so overwhelming that they need to get it out. They do not expect to be "rewarded" for their strong negative emotions; they simply expect that we will listen. We pick up our babies7when they cry, and we respond to the tears of our older children because we believe firmly that comfort is free. Love is free, and that when a child has need for comfort and love. It is our job to provide those things. We are not afraid of tears. We don't avoid them. We hold our children through them and teach them that when they are hurt or frustrated we are here to comfort them and help them work through their emotions.Attachment Parenting is not Clingy Parenting. I do not cling to my children. In fact, I'm pretty free-range. As soon as they can move they usually move away from me and let me set up a chase as they crawl, run, skip and hop on their merry way to explore the world. Sure, I carry them and hug them and chase them and kiss them and rock them and sleep with them. But this is not me following them everywhere and pulling them back to me. This is me being a home base. The "attachment" comes from their being allowed to attach to us, not from us attaching to them like parental leeches.Attachment Parenting is not Selfish Parenting. It is also not selfless parenting. We are not doing it for us, and we are not doing it to torment ourselves.Attachment parenting is not Helicopter Parenting. I don't hover, I supervise, I follow, I teach, I demonstrate, I explain. I don't slap curious hands away. I show how to do things safely. I let my child do the things that my child wishes to do, first with help and then with supervision and finally with trust. I don't insist that my 23 month old hold my hand when we walk on the sidewalk because I know that I can recall him with my voice because he trusts me to allow him to explore and he trusts me to explain when something is dangerous and to help him satisfy hiscuriosities safely.Most of the negative things that I hear about "attachment parents" are completely off-base and describe something that is entirely unlike Attachment Parenting. Attachment Parenting is child-centric and focuses on the needs of the child. Children need structure, rules, and boundaries. Attachment Parents simply believe that the child and the parent are allies, not adversaries. And that children are taught, not trained.63. According to the author, what should parents do when their kids cry?A. Providing comfort and love.B. Trying to stop kids crying.C. Holding them till they stop.D. Rewarding kids with toys.64. What does “free-range” mean according to the passage?A. Fond of providing a home base.B. Ready to play games with my kids.C. Curious to watch what games they play.D. Willing to give kids freedom of movement.65. Which of the following is NOT attachment parenting?A. Fostering their curiosity.B. Standing by and protecting.C. Showing them how things are done.D. Helping them do the right thing.66. What does the passage mainly discuss?A. How to foster love in children.B. How to build child confidence.C. Different types of parenting.D. Parent-child relationships.8Section CDirections: Complete the following passage by using the sentences given below. Each sentence can be used only once. Note that there are two more sentences than you need.A. Long car journeys are even less pleasantB. During the day, sleep comes in snatchesC. But nothing can match them for speed and comfortD. You will arrive at your destination fresh and uncrumpledE. You will be utterly exhausted before you are halfway through your journeyF. Also, you are invariably faced with numerous options different airlines offer for similar flights People travelling long distances frequently have to decide whether they would prefer to go by land, sea, or air. Hardly anyone can positively enjoy sitting in a train for more than a few hours. Train compartments soon get cramped and stuffy, with the monotonous rhythm of the wheels clicking on the rails which soon lures you to sleep. _____67_____. At night, when you really wish to go to sleep, you rarelyclip_image013manage to do so, ending up almost exhausted when reaching the destination." _____68_____, for it is quite impossible even to read. On motorways you can, at least, travel fairly safely at high speeds, but with much time spent on roads, few service stations available and too much traffic. By comparison, ferry trips or cruises offer numerous civilized comforts. You can relax on decks, play games, meet interesting people and enjoy good food ——particularly when the sea is calm. If it is not, you are likely to get seasick. Whatever the case, sea journeys take a long time. Relatively few people are prepared to sacrifice holiday time for the pleasure of travelling by sea.Aeroplanes have the reputation of being dangerous and even well-experienced travelers are intimidated by them. They also have the disadvantage of being an expensive form of transport. _____69_____. Travelling at a height of 30,000 feet far above the clouds, and at over 500 miles an hour is an exhilarating experience. You do not have to devise ways of taking your mind off your journey, for an aeroplane gets you to your destination rapidly. The real escapist can watch a film and sip champagne, yet without missing an unusual and breathtaking view of the world .You soar effortlessly over high mountains and deep valleys. You really see the shape of the land. If the landscape is hidden from the view, you can enjoy the extraordinary sight of unbroken cloud plains that stretch out for miles before you, while the sun shines brilliantly in the clear sky. The journey is so smooth that there is nothing to prevent you from reading or sleeping. However you decide to spend your time, one thing is certain:“_____70_____.” You will never have to spend the next the few days recovering from a long and arduous journey.9第II卷(共47分)I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1.春节是中国⼈举家团聚,共享美⾷的幸福时刻。
【真题】17年上海市浦东新区建平中学高三(上)数学期中试卷含答案
2016-2017学年上海市浦东新区建平中学高三(上)期中数学试卷一.填空题1.(3分)已知R为实数集,M={x|x2﹣2x<0},N={x|x≥1},则M∩(∁R N)=.2.(3分)函数y=+log3(1+x)的定义域为.3.(3分)不等式的解集是.4.(3分)已知θ是第三象限角,若sinθ=﹣,则tan的值为.5.(3分)已知log a b=﹣1,则a+4b的最小值为.6.(3分)函数y=f(x)是奇函数且周期为3,f(﹣1)=1,则f(2017)=.7.(3分)函数cos(﹣x)=,那么sin2x=.8.(3分)函数f(x)=log2(2﹣)(x>0)的反函数f﹣1(x)=.9.(3分)若2arcsin(5x﹣2)=,则x=.10.(3分)已知直线x=,x=都是函数y=f(x)=sin(ωx+φ)(ω>0,﹣π<φ≤π)的对称轴,且函数f(x)在区间[,}上单调递减,则φ=.11.(3分)已知函数f(x)=x++3,x∈N*,在x=5时取到最小值,则实数a的所有取值的集合为.12.(3分)函数f(x)=cos x,对任意的实数t,记f(x)在[t,t+1]上的最大值为M(t),最小值为m(t),则函数h(t)=M(t)﹣m(t)的值域为.13.(3分)已知函数y=f(x),y=g(x)的值域均为R,有以下命题:①若对于任意x∈R都有f[f(x)]=f(x)成立,则f(x)=x.②若对于任意x∈R都有f[f(x)]=x成立,则f(x)=x.③若存在唯一的实数a,使得f[g(a)]=a成立,且对于任意x∈R都有g[f(x)]=x2﹣x+1成立,则存在唯一实数x0,使得g(ax0)=1,f(x0)=a.④若存在实数x0,y0,f[g(x0)]=x0,且g(x0)=g(y0),则x0=y0.其中是真命题的序号是.(写出所有满足条件的命题序号)14.(3分)关于x的方程(2017﹣x)(1999+x)=2016恰有两个根为x1、x2,且x1、x2分别满足3x1=a﹣3x1和log3(x2﹣1)3=a﹣3x2,则x1+x2+a=.二.选择题15.(3分)“2a>2b”是“log2a>log2b”的()条件.A.充分不必要B.必要不充分C.充要D.既不充分也不必要16.(3分)已知集合M={x|9x﹣4•3x+1+27=0},N={x|log2(x+1)+log2x=log26},则M、N的关系是()A.M⊊N B.N⊊M C.M=N D.不确定17.(3分)若y=f(x)是R上的偶函数,y=g(x)是R上的奇函数,它们都是周期函数,则下列一定正确的是()A.函数y=g[g(x)]是偶函数,函数y=f(x)g(x)是周期函数B.函数y=g[g(x)]是奇函数,函数y=f[g(x)]不一定是周期函数C.函数y=g[g(x)]是偶函数,函数y=f[g(x)]是周期函数D.函数y=g[g(x)]是奇函数,函数y=f(x)g(x)是周期函数18.(3分)如图,半径为1的半圆O与等边三角形ABC夹在两平行线l1,l2之间,l∥l1,l与半圆相交于F,G两点,与三角形ABC两边相交于E,D两点.设弧的长为x(0<x<π),y=EB+BC+CD,若l从l1平行移动到l2,则函数y=f(x)的图象大致是()A.B.C.D.三.解答题19.(8分)已知函数f(x)=|2x﹣a|+2;(1)若不等式f(x)<6的解集为(﹣1,3),求a的值;(2)在(1)的条件下,对任意的x∈R,都有f(x)>t﹣f(﹣x),求t的取值范围.20.(8分)在△ABC中,角A,B,C所对的边长分别为a,b,c,且cos.(1)若a=3,b=,求c的值;(2)若f(A)=sinA(cosA﹣sinA),求f(A)的取值范围.21.(10分)某厂生产某种产品的年固定成本为250万元,每生产x千件,需另投入成本C(x)(万元),若年产量不足80千件,C(x)的图象是如图的抛物线,此时C(x)<0的解集为(﹣30,0),且C(x)的最小值是﹣75,若年产量不小于80千件,C(x)=51x+﹣1450,每千件商品售价为50万元,通过市场分析,该厂生产的商品能全部售完;(1)写出年利润L(x)(万元)关于年产量x(千件)的函数解析式;(2)年产量为多少千件时,该厂在这一商品的生产中所获利润最大?22.(10分)已知函数f(x)=x|x﹣a|的定义域为D,其中a为常数;(1)若D=R,且f(x)是奇函数,求a的值;(2)若a≤﹣1,D=[﹣1,0],函数f(x)的最小值是g(a),求g(a)的最大值;(3)若a>0,在[0,3]上存在n个点x i(i=1,2,…,n,n≥3),满足x1=0,x n=3,x1<x2<…<x n,使|f(x1)﹣f(x2)|+|f(x2)﹣f(x3)|+…+|f(x n﹣1)﹣f(x n)|=,求实数a的取值.23.(10分)已知函数f(x)=其中P,M是非空数集,且P∩M=∅,设f(P)={y|y=f(x),x∈P},f(M)={y|y=f(x),x∈M}.(I)若P=(﹣∞,0),M=[0,4],求f(P)∪f(M);(II)是否存在实数a>﹣3,使得P∪M=[﹣3,a],且f(P)∪f(M)=[﹣3,2a﹣3]?若存在,请求出满足条件的实数a;若不存在,请说明理由;(III)若P∪M=R,且0∈M,I∈P,f(x)是单调递增函数,求集合P,M.2016-2017学年上海市浦东新区建平中学高三(上)期中数学试卷参考答案与试题解析一.填空题1.(3分)已知R为实数集,M={x|x2﹣2x<0},N={x|x≥1},则M∩(∁R N)=(0,1).【解答】解:∵x2﹣2x<0⇒0<x<2;∴M={x|x2﹣2x<0}={x|0<x<2};N={x|x≥1}⇒C R N={x|x<1}.所以:M∩(C R N)=(0,1)故答案为:(0,1).2.(3分)函数y=+log3(1+x)的定义域为(﹣1,2] .【解答】解:,解得:x∈(﹣1,2]故答案为:(﹣1,2]3.(3分)不等式的解集是[1,3﹚.【解答】解:不等式等价于解得x∈[1,3)故答案为:[1,3﹚4.(3分)已知θ是第三象限角,若sinθ=﹣,则tan的值为﹣3.【解答】解:∵θ是第三象限角,若sinθ=﹣,∴cosθ=﹣,∴tan===﹣3.故答案是:﹣3.5.(3分)已知log a b=﹣1,则a+4b的最小值为4.【解答】解:log a b=﹣1,可得ab=1.a,b>0.a+4b≥2=4.当且仅当a=4b=2时取等号.表达式的最小值为:4.故答案为:4.6.(3分)函数y=f(x)是奇函数且周期为3,f(﹣1)=1,则f(2017)=﹣1.【解答】解:y=f(x)是奇函数,即f(﹣x)=﹣f(x),∴f(1)=﹣f(﹣1)=﹣1,由y=f(x)周期为3,f(2017)=f(672×3+1)=f(1)=﹣1,故答案为:﹣1.7.(3分)函数cos(﹣x)=,那么sin2x=.【解答】解:∵cos(﹣x)=cosx+sinx=,∴可得:sinx+cosx=,∴两边平方可得:1+sin2x=,解得:sin2x=.故答案为:.8.(3分)函数f(x)=log2(2﹣)(x>0)的反函数f﹣1(x)=(x<1).【解答】解:由y=log2(2﹣)(x>0),解得x=(y<1),把x与y互换可得:y=(x<1).∴原函数的反函数为:(x<1).故答案为:(x<1).9.(3分)若2arcsin(5x﹣2)=,则x=.【解答】解:因为2arcsin(5x﹣2)=,所以sin[arcsin(5x﹣2)]=,即5x﹣2=,所以x=.故答案为.10.(3分)已知直线x=,x=都是函数y=f(x)=sin(ωx+φ)(ω>0,﹣π<φ≤π)的对称轴,且函数f(x)在区间[,}上单调递减,则φ=.【解答】解:直线x=,x=都是函数f(x)=sin(ωx+ϕ)(ω>0,﹣π<ϕ≤π)的对称轴,且函数f(x)在区间[,]上单调递减,所以T=2×(﹣)=;所以ω==6,并且1=sin(6×+ϕ),﹣π<ϕ≤π,所以,ϕ=;故答案为:.11.(3分)已知函数f(x)=x++3,x∈N*,在x=5时取到最小值,则实数a的所有取值的集合为[20,30] .【解答】解:∵f(x)=x++3,x∈N*,∴f′(x)=1﹣=,当a≤0时,f′(x)≥0,函数f(x)为增函数,最小值为f(x)min=f(1)=4+a,不满足题意,当a>0时,令f′(x)=0,解得x=,当0<x<时,即f′(x)<0,函数单调递减,当x>时,即f′(x)>0,函数单调递增,∴当x=时取最小值,∵x∈N*,∴x取离最近的正整数使f(x)达到最小,∵x=5时取到最小值,∴5<<6,或4<≤5∴f(5)≤f(6)且f(4)≥f(5),∴4++3≥5++3且5++3≤6++3解得20≤a≤30故答案为:[20,30]12.(3分)函数f(x)=cos x,对任意的实数t,记f(x)在[t,t+1]上的最大值为M(t),最小值为m(t),则函数h(t)=M(t)﹣m(t)的值域为.【解答】解:解:函数f(x)=cos x的周期为T==4,(1)当4n﹣1≤t≤4n,n∈Z,区间[t,t+1]为增区间,则有m(t)=cos,M(t)=cos=sin,(2)当4n<t<4n+1,n∈Z,①若4n<t≤4n+,则M(t)=1,m(t)=sin,②若4n+<t<4n+1,则M(t)=1,m(t)=sin,(3)当4n+1≤t≤4n+2,则区间[t,t+1]为减区间,则有M(t)=cos,m(t)=sin;(4)当4n+2<t<4n+3,则m(t)=﹣1,①当4n+2<t≤4n+时,M(t)=cos,②当4n+<t<4n+3时,M(t)=sin;则有h(t)=M(t)﹣m(t)=当4n﹣1≤t≤4n,h(t)的值域为[1,],当4n<t≤4n+,h(t)的值域为[1﹣,1),当4n+<t<4n+1,h(t)的值域为(1﹣,1),当4n+1≤t≤4n+2,h(t)的值域为[1,],当4n+2<t≤4n+时,h(t)的值域为[1﹣,1),当4n+<t<4n+3时,h(t)的值域为[1﹣,1).综上,h(t)=M(t)﹣m(t)的值域为.故答案是:.13.(3分)已知函数y=f(x),y=g(x)的值域均为R,有以下命题:①若对于任意x∈R都有f[f(x)]=f(x)成立,则f(x)=x.②若对于任意x∈R都有f[f(x)]=x成立,则f(x)=x.③若存在唯一的实数a,使得f[g(a)]=a成立,且对于任意x∈R都有g[f(x)]=x2﹣x+1成立,则存在唯一实数x0,使得g(ax0)=1,f(x0)=a.④若存在实数x0,y0,f[g(x0)]=x0,且g(x0)=g(y0),则x0=y0.其中是真命题的序号是①③④.(写出所有满足条件的命题序号)【解答】解:①令t=f(x),则对于任意x∈R都有f[f(x)]=f(x)成立可化为:f(t)=t,即f(x)=x,故①为真命题;②令,显然能满足题设条件,当x≠0,有f(x)=,不满足结论;故②为假命题;③假设存在实数x0,∵f(x0)=a,f(g(a))=a;∴g(a)=x0;g(f(x0))=﹣x0+1;=[g(a)]2﹣g(a)+1;而f(g(a))=a,∴命题成立;故③正确;④∵,g(x0)=g(y0);∴x0=y0;故④正确;故答案为:①③④14.(3分)关于x的方程(2017﹣x)(1999+x)=2016恰有两个根为x1、x2,且x1、x2分别满足3x1=a﹣3x1和log3(x2﹣1)3=a﹣3x2,则x1+x2+a=61.【解答】解:方程(2017﹣x)(1999+x)=2016可化为﹣x2+16x+2017×1999﹣2016=0,∴x1+x2=16.∵x1满足3x1=a﹣3x1,x2满足log3(x2﹣1)3=a﹣3x2,∴=﹣1﹣(x1﹣1),log3(x2﹣1)=﹣1﹣(x2﹣1).∴x1﹣1+x2﹣1=﹣1,∴a=45,∴x1+x2+a=16+45=61.故答案为61.二.选择题15.(3分)“2a>2b”是“log2a>log2b”的()条件.A.充分不必要B.必要不充分C.充要D.既不充分也不必要【解答】解:由“2a>2b”得a>b,由“log2a>log2b”得a>b>0,则“2a>2b”是“log2a>log2b”的必要不充分条件,故选:B.16.(3分)已知集合M={x|9x﹣4•3x+1+27=0},N={x|log2(x+1)+log2x=log26},则M、N的关系是()A.M⊊N B.N⊊M C.M=N D.不确定【解答】解:集合M={x|9x﹣4•3x+1+27=0},可得9x﹣4•3x+1+27=0,即(3x)2﹣12•3x+27=0,解得3x=3,3x=9,解得x=1,x=2.M={1,2}.N={x|log2(x+1)+log2x=log26},log2(x+1)+log2x=log26,可得x(x+1)=6,x>0.解得x=2.N={2}.∴N⊊M.故选:B.17.(3分)若y=f(x)是R上的偶函数,y=g(x)是R上的奇函数,它们都是周期函数,则下列一定正确的是()A.函数y=g[g(x)]是偶函数,函数y=f(x)g(x)是周期函数B.函数y=g[g(x)]是奇函数,函数y=f[g(x)]不一定是周期函数C.函数y=g[g(x)]是偶函数,函数y=f[g(x)]是周期函数D.函数y=g[g(x)]是奇函数,函数y=f(x)g(x)是周期函数【解答】解:∵y=f(x)是R上的偶函数,y=g(x)是R上的奇函数,故有g(﹣x)=﹣g(x),且f(﹣x)=f(x).令m(x)=g[g(x)],n(x)=f(x)g(x),则m(﹣x)=g[g(﹣x)]=g[﹣g(x)]﹣g[g(x)]=﹣m(x),故m(x)为奇函数,故排除A、C;∵f(x)和g(x)都是周期函数,设他们的周期的最小公倍数为t,即f(x+t)=f(x),g(x+t)=g(x),n(x+t)=f(x+t)g(x+t)=f(x)g(x)=n(x),故n(x)=f(x)g(x)一定为周期函数,故排除B,故选:D.18.(3分)如图,半径为1的半圆O与等边三角形ABC夹在两平行线l1,l2之间,l∥l1,l与半圆相交于F,G两点,与三角形ABC两边相交于E,D两点.设弧的长为x(0<x<π),y=EB+BC+CD,若l从l1平行移动到l2,则函数y=f(x)的图象大致是()A.B.C.D.【解答】解:当x=0时,y=EB+BC+CD=BC=;当x=π时,此时y=AB+BC+CA=3×=2;当x=时,∠FOG=,三角形OFG为正三角形,此时AM=OH=,在正△AED中,AE=ED=DA=1,∴y=EB+BC+CD=AB+BC+CA﹣(AE+AD)=3×﹣2×1=2﹣2.如图.又当x=时,图中y0=+(2﹣)=>2﹣2.故当x=时,对应的点(x,y)在图中红色连线段的下方,对照选项,D正确.故选:D.三.解答题19.(8分)已知函数f(x)=|2x﹣a|+2;(1)若不等式f(x)<6的解集为(﹣1,3),求a的值;(2)在(1)的条件下,对任意的x∈R,都有f(x)>t﹣f(﹣x),求t的取值范围.【解答】解:(1)f(x)<6,即|2x﹣a|<4,∵不等式f(x)<6的解集为(﹣1,3),∴,∴a=2;(2)∵f(x)>t﹣f(﹣x),∴t<f(x)+f(﹣x),∴t<|2x﹣2|+|﹣2x﹣2|+4,∵|2x﹣2|+|﹣2x﹣2|+4≥4+4=8,∴t<8.20.(8分)在△ABC中,角A,B,C所对的边长分别为a,b,c,且cos.(1)若a=3,b=,求c的值;(2)若f(A)=sinA(cosA﹣sinA),求f(A)的取值范围.【解答】解:(1)在△ABC中,A+B+C=π,∴cos=cos=sin=,∴=,即B=,∵a=3,b=,cosB=,∴由余弦定理b2=a2+c2﹣2accosB,即7=9+c2﹣3c,整理得:c2﹣3c+2=0,解得:c=1或c=2;(2)f(A)=sinA(cosA﹣sinA)=sin2A﹣=sin(2A+)﹣,由(1)得B=,∴A+C=,即A∈(0,),∴2A+∈(,),∴sin(2A+)∈(﹣1,1],∴f(A)∈(﹣,],∴f(A)的取值范围是(﹣,].21.(10分)某厂生产某种产品的年固定成本为250万元,每生产x千件,需另投入成本C(x)(万元),若年产量不足80千件,C(x)的图象是如图的抛物线,此时C(x)<0的解集为(﹣30,0),且C(x)的最小值是﹣75,若年产量不小于80千件,C(x)=51x+﹣1450,每千件商品售价为50万元,通过市场分析,该厂生产的商品能全部售完;(1)写出年利润L(x)(万元)关于年产量x(千件)的函数解析式;(2)年产量为多少千件时,该厂在这一商品的生产中所获利润最大?【解答】解:(1)∵每件商品售价为0.005万元,∴x千件商品销售额为0.005×1000x万元,①当0<x<80时,根据年利润=销售收入﹣成本,∴L(x)=(0.05×1000x)﹣x2﹣10x﹣250=﹣x2+40x﹣250;②当x≥80时,根据年利润=销售收入﹣成本,∴L(x)=(0.05×1000x)﹣51x﹣+1450﹣250=1200﹣(x+).综合①②可得,;(2)由(1)可知,;①当0<x<80时,L(x)=﹣x2+40x﹣250=﹣(x﹣60)2+950∴当x=60时,L(x)取得最大值L(60)=950万元;②当x≥80时,L(x)=1200﹣(x+)≤1200﹣2=1200﹣200=1000,当且仅当,即x=100时,L(x)取得最大值L(100)=1000万元.综合①②,由于950<1000,∴当产量为10万件时,该厂在这一商品中所获利润最大,最大利润为1000万元.22.(10分)已知函数f(x)=x|x﹣a|的定义域为D,其中a为常数;(1)若D=R,且f(x)是奇函数,求a的值;(2)若a≤﹣1,D=[﹣1,0],函数f(x)的最小值是g(a),求g(a)的最大值;(3)若a>0,在[0,3]上存在n个点x i(i=1,2,…,n,n≥3),满足x1=0,x n=3,x1<x2<…<x n,使|f(x1)﹣f(x2)|+|f(x2)﹣f(x3)|+…+|f(x n﹣1)﹣f(x n)|=,求实数a的取值.【解答】解:(1)∵f(x)是R上的奇函数,∴f(﹣1)+f(1)=﹣|﹣1﹣a|+|1﹣a|=0,∴|a﹣1|=|a+1|,解得a=0.∴f(x)=x|x|,经过验证满足题意;(2)a≤﹣1,D=[﹣1,0],函数f(x)=x(x﹣a)=﹣,①a≤﹣2时,对称轴x=≤﹣1,函数f(x)在D上单调递增,∴f(x)的最小值是f(﹣1)=﹣(﹣1﹣a)=a+1,则g(a)≤﹣2+1=﹣1,故g(a)的最大值为﹣1;②﹣2<a≤﹣1时,对称轴x=∈,函数f(x)在(,﹣)上单调递增,在[﹣1,]单调递减;∴f(x)的最小值是f()=﹣,则g(a)≤﹣,故g(a)的最大值为﹣;(3)a>0,函数f(x)=x|x﹣a|的图象可由f(x)=x|x|的图象右移a个单位得到.而f(x)=x|x|=,x>0时递增,x<0时递增,且f(x)的图象连续,则函数f(x)=x|x﹣a|在[0,3]递增,即有|f(x1)﹣f(x2)|+|f(x2)﹣f(x3)|+…+|f(x n)﹣f(x n)|=,﹣1)﹣f(x n))=,化为﹣(f(x1)﹣f(x2)+f(x2)﹣f(x3)+…+f(x n﹣1即﹣(f(0)﹣f(3))=,则3|3﹣a|﹣0=,解得a=或.则实数a的取值为{,}.23.(10分)已知函数f(x)=其中P,M是非空数集,且P∩M=∅,设f(P)={y|y=f(x),x∈P},f(M)={y|y=f(x),x∈M}.(I)若P=(﹣∞,0),M=[0,4],求f(P)∪f(M);(II)是否存在实数a>﹣3,使得P∪M=[﹣3,a],且f(P)∪f(M)=[﹣3,2a﹣3]?若存在,请求出满足条件的实数a;若不存在,请说明理由;(III)若P∪M=R,且0∈M,I∈P,f(x)是单调递增函数,求集合P,M.【解答】解:(I)∵P=(﹣∞,0),∴f(P)={y|y=|x|,x∈(﹣∞,0)}=(0,+∞),∵M=[0,4],∴f(M)={y|y=﹣x2+2x,x∈[0,4]}=[﹣8,1].∴f(P)∪f(M)=[﹣8,+∞)(II)若﹣3∈M,则f(﹣3)=﹣15∉[﹣3,2a﹣3],不符合要求∴﹣3∈P,从而f(﹣3)=3∵f(﹣3)=3∈[﹣3,2a﹣3]∴2a﹣3≥3,得a≥3若a>3,则2a﹣3>3>﹣(x﹣1)2+1=﹣x2+2x∵P∩M=∅,∴2a﹣3的原象x0∈P且3<x0≤a∴x0=2a﹣3≤a,得a≤3,与前提矛盾∴a=3此时可取P=[﹣3,﹣1)∪[0,3],M=[﹣1,0),满足题意(III)∵f(x)是单调递增函数,∴对任意x<0,有f(x)<f(0)=0,∴x∈M ∴(﹣∞,0)⊆M,同理可证:(1,+∞)⊆P若存在0<x0<1,使得x0∈M,则1>f(x0)=﹣+2x0>x0,于是[x0,﹣+2x0]⊆M记x1=﹣+2x0∈(0,1),x2=﹣+2x1,…∴[x0,x1]∈M,同理可知[x1,x2]∈M,…=﹣+2x n,得1﹣x n+1=1+﹣2x n=(1﹣)2;由x n+1∴1﹣x n=(1﹣)2=(1﹣x n﹣2)22=…=(1﹣x0)2n对于任意x∈[x0,1],取[log2log(1﹣x0)(1﹣x)﹣1,log2log(1﹣x0)(1﹣x)]中的自然数n x,则x∈[xn x,xn x+1]⊆M∴[x0,1)⊆M综上所述,满足要求的P,M必有如下表示:P=(0,t)∪[1,+∞),M=(﹣∞,0]∪[t,1),其中0<t<1或者P=(0,t]∪[1,+∞),M=(﹣∞,0]∪(t,1),其中0<t<1或者P=[1,+∞),M=(﹣∞,1]或者P=(0,+∞),M=(﹣∞,0]赠送—高中数学知识点【1.3.1】单调性与最大(小)值(1)函数的单调性②在公共定义域内,两个增函数的和是增函数,两个减函数的和是减函数,增函数减去一个减函数为增函数,减函数减去一个增函数为减函数.③对于复合函数[()]y f g x =,令()u g x =,若()y f u =为增,()u g x =为增,则[()]y f g x =为增;若()y f u =为减,()u g x =为减,则[()]y f g x =为增;若()y f u =为增,()u g x =为减,则[()]y f g x =为减;若()y f u =为减,()u g x =为增,则[()]y f g x =为减. (2)打“√”函数()(0)af x x a x=+>的图象与性质 ()f x分别在(,-∞、)+∞上为增函数,分别在[,0)a -、]a 上为减函数.(3)最大(小)值定义①一般地,设函数()y f x =的定义域为I ,如果存在实数M 满足:(1)对于任意的x I ∈,都有()f x M ≤; (2)存在0x I ∈,使得0()f x M =.那么,我们称M 是函数()f x 的最大值,记作max ()f x M =.②一般地,设函数()y f x =的定义域为I ,如果存在实数m 满足:(1)对于任意的x I ∈,都有()f x m ≥;(2)存在0x I ∈,使得0()f x m =.那么,我们称m 是函数()f x 的最小值,记作max ()f x m =.【1.3.2】奇偶性(4)函数的奇偶性①定义及判定方法yxo②若函数()f x 为奇函数,且在0x =处有定义,则(0)0f =.③奇函数在y 轴两侧相对称的区间增减性相同,偶函数在y 轴两侧相对称的区间增减性相反.④在公共定义域内,两个偶函数(或奇函数)的和(或差)仍是偶函数(或奇函数),两个偶函数(或奇函数)的积(或商)是偶函数,一个偶函数与一个奇函数的积(或商)是奇函数.。
建平中学2017学年高三第一学期英语周考卷
建平中学高三周考卷11.21II. Grammar and vocabulary (20)Section A(10)Directions: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks,use one word that best fits each blank.At least 10 terrorists were killed and nine policemen ____1____(wound) on Sunday during a security raid in Giza province near the capital Cairo, the Egyptian Interior Ministry said in a statement.The terrorists were extremist elements ____2____(escape) from North Sinai province and hiding in two apartments in Giza’s Ard al-Liwaa district in preparation for carrying out a number of terror operations, said the police statement.“Fire exchange with eight militants in the first apartment led to killing of them and shootout in the ____3____ apartment killed two,” said the statement, noting that the gunfire was started by the militants and it continued for four hours.“One of them threw an explosive device at the forces but it blew him off,” it added.The police said that the confrontations wounded nine policemen ____4____ four machine guns and ammunition were seized during the raid.Since March, similar security campaigns killed about 50 militants in the provinces of Cairo, Giza, Alexandria, Beheira, Fayoum, Qalioubiya, Minufiya, Ismailia and others.Egypt has been fighting against a wave of terror activities ____5____ killed hundreds of policemen and soldiers since the military toppled former Islamist president Mohamed Morsi in July 2013 in response to mass protests ____6____ his one-year rule and his currently outlawed Muslim Brotherhood group.Terror attacks in Egypt ____7____ ____7____ focus on police and military men in North Sinai before spreading nationwide and targeting the Coptic minority as well, with most of them____8____ (claim) by a Sinai-based group loyal to the regional Islamic State militant group.Another militant group ____9____(refer) to itself as Hasm, which appeared late last year and is regarded by the police as an affiliate with the Brotherhood, claimed responsibility for a number of terrorist attacks that killed several policemen in the country.Meanwhile, the Egyptian military and police have killed hundreds of militants and arrested a similar number of suspects as part of the country’s anti-terror war ____10____(declare) by President Abdel-Fattah al-Sisi, the army chief then, following Morsi’s removal.Section BDirections: Fill in each blank with a proper word chosen from the box. Each word can be used only once. Note that there is one word more than you need.THE TRANSPORTATION AUTHORITIES in Nanjing, East China’s Jiangsu province, are reportedly considering a ____1____ to cap the number of order for takeout deliverymen, many of whom have been ____2____ of violating traffic rules on a daily basis. Beijing News commented on Saturday:At least 242 traffic accidents in the city in the first half of this year involved takeout deliverymen, resulting in ____3____ to about 170, prompting the local transportation authorities to tighten their ____4____ of such takeout deliveries.So the Nanjing authorities have good reason to intervene, but placing a cap on the number of takeout orders ____5____ to deliverymen is a questionable move. Deliverymen hired by most platforms are allowed to go for any order up for grabs even when they do not have enough time to finish the delivery.Many reckless riders tend to disregard the traffic rules because failing to deliver an order within a given time - ____6____ around 20 minutes - can cost them one-third of the money they make. Such a rigid assessment mechanism ____7____ does not take into account any unavoidable delays.There is no doubt that timely deliveries must not come at the ____8____ of traffic order or the well-being of deliverymen. Food delivery service platforms need to provide proper training for their delivery staff to ensure they ride safely, as well as give them reasonable incentives and penalties. The local traffic enforcers can help food delivery companies to better manage their staff without ____9____ with their daily operations.In other words, limiting the number of takeout orders may overstep administrative boundaries. There are viable alternatives that are worth emulating, such as a code of conduct for deliverymen, along with a new management system that makes deliverymen ____10____ for their vehicles, most of which are currently registered under the name of their employers. A credit deduction policy that links the driving records of deliverymen with their pay might be another.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.In any planning system, from the simplest budgeting to the most complex corporate planning, there is an annual process. This is partly due to the fact that firms ____1____ their accounting on a yearly basis, but also because similar ____2____ often occur in the market.Usually, the larger the firm, the longer the planning takes. But ____3____, planning for next year may start nine months or more in advance, with various stages of evaluation leading to ____4____ of the complete plan three months before the start of the year.Planning continues, however, throughout the year, since managers ____5____ progress against targets, while looking forward to the next year. What is happening now will ____6____ the objectives and plans for the future.In today's business climate, as markets constantly change and become more difficult to ____7____, some analysts believe that long-term planning is ____8____. In some markets they may be right, as long as companies can build the sort of flexibility into their operations which allows them to ____9____ to any sudden changes.Most firms, however, need to plan more than one year ahead in order to ____10____. Their long-term goals. This may reflect the time it takes to commission and build a new production plant, or, in marketing ____11____, it may be a question of how long it takes to research and launch a range of new products, and reach a certain ____12____ in the market. If, for example, it is going to take five years for a particular airline to become the ____13____ choice amongst business travelers on certain routes, the airline must plan for the various ____14____ involved.Every one-year plan, therefore, must be ____15____ in relation to longer-term plans, and it should contain die stages that are necessary to achieve the final goals.1. A. make up B. carry out C. bring about D. put down2. A. patterns B. guides C. designs D. distributions3. A. surprisingly B. contrarily C. equally D. typically4. A. approval B. permission C. admiration D. objection5. A. value B. confirm C. review D. survey6. A. restore B. promote C. influence D. maintain7. A. guess B. advocate C. recognize D. predict8. A. pointless B. meaningful C. realistic D. inevitable9. A. lead B. respond C. refer D. contribute10. A. share B. handle C. develop D. benefit11. A. expressions B. descriptions C. words D. terms12. A. reputation B. position C. situation D. direction13. A. reserved B. selected C. preferred D. supposed14. A. acts B. steps C. means D. points15. A. handed over B. left behind C. made out D. drawn upSection BDirections:Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)Not too many decades ago it seemed “obvious” both to the general public and to sociologists that modern society has changed people’s natural relations, loosened their responsibilities to relatives and neighbors, and substituted in their place loose relationships with passing acquaintances(相识之人). However, in recent years a growing body of research has revealed that the “obvious” is not true. It seems that if you are a city resident, you typically know a smaller proportion of your neighbors than you do if you are a resident of a smaller community. But, for the most part, this fact has few significant consequences. It does not necessarily follow that if you know few of your neighbors you will know no one else.Even in very large cities, people maintain close social ties within small, private social worlds. Indeed, the number and quality of meaningful relationships do not differ between more and less urban people. Small-town residents are more involved with relatives than are big-city residents are. Yet city residents make up for it by developing friendships with people who share similar interests and activities. Urbanism may produce a different style of life, but the quality of life does not differ between town and city. Nor are residents of large communities more likely to display psychological symptoms of stress or alienation, a feeling of not belonging, than are residents of smaller communities are. However, city residents do worry more about crime, and this leads them to a distrust of strangers.These findings do not imply that urbanism makes little or no difference. If neighbors are strangers to one another, they are less likely to sweep the sidewalk of an elderly couple living next door or keep an eye out for young trouble makers. Moreover, as Wirth suggested, there may be a link between a community’s population size and its social heterogeneity(多样性). For instance, sociologists have found much evidence that the size of a community is associated with bad behavior including gambling, drugs, etc. Large-city residents are also more likely than their small-town residents to have a cosmopolitan(见多识广的) outlook, to display less responsibility to traditional family roles, to vote for leftist political candidates, and to be willing to accept nontraditional religious groups, unpopular political groups. Everything considered, heterogeneity and unusual behavior seem to be outcomes of large population size.1. According to the paragraph 1, it was once a common belief that people in modern society ________.A. tended to acquaint themselves with people passing byB. could not develop very close relationships with othersC. bore great responsibilities to neighbors and relativesD. usually had more friends than small-town residents2. One of the consequences of urbanism is that the city residents________.A. suffer from the lack of friendshipB. lower the quality of relationshipsC. show little concern for other peopleD. become suspicious of each other3.We can learn from the passage that the bigger a community is, ________.A. the more open-minded people areB. the more similar its interests isC. the more likely it to display stressD. the better the quality of life is4. What is the passage mainly about?A. Advantages and disadvantages of living in big cities or small townsB. Minor differences in the interpersonal relations between cities and townsC. The positive role that urbanism has been playing in our modern society.D. The strong feeling of alienation that city residents are suffering.(B)P lease do not sign your name. Mark the responses that most nearly reflect your teaching practices. This is one way to reflect your practices and how much you got out of it.Keep one copy and give one to your tutor s.HOW OFTEN:0=never 1=rarely 2=sometimes (1-2x/ week)3=moderately(3x/week) 4=often(4x/week) 5=daily1. According to the passage, who most probably mark the responses in the form?A. Professional tutors.B. Language teachers.C. Personal physician.D. Psychological therapist.2. Mr. Kent bears EXTENTION OF LEARNING idea in mind, he quite often tends to ________.A. always set groups to encourage students to work out something by putting heads togetherB. prepare grade-level materials for teachingC. develop students reading skills during pre- while-and- post-reading stageD. provide students with extra learning materials to further their study3. Mrs. Grace likes to share her version of tasks outcome in class, which could be labeled ________.A. ASSESSMENT OF LEARNINGB. KNOWLEDGE CONSTRUCTIONC. DEMONSTRATION OF STRATEGIESD. SELF-SELECTION(C)“The Heart of the Matter,” the just-released report by the American Academy of Arts and Sciences (AAAS), deserves praise for affirming the importance of the humanities and social sciences to the prosperity and security of liberal democracy in America. Regrettably, however, the report's failure to address the true nature of the crisis facing liberal education may cause more harm than good.In 2010, leading congressional Democrats and Republicans sent letters to the AAAS asking that it identify actions that could be taken by "federal, state and local governments, universities, foundations, educators, individual benefactors and others" to "maintain national excellence in humanities and social scientific scholarship and education." In response, the American Academy formed the Commission on the Humanities and Social Sciences.Among the commission's 51 members are top-tier-university presidents, scholars, lawyers, judges, and business executives, as well as prominent figures from diplomacy, filmmaking, music and journalism.The goals identified in the report are generally admirable. Because representative government presupposes an informed citizenry, the report supports full literacy; stresses the study of history and government, particularly American history and American government; and encourages the use of new digital technologies. To encourage innovation and competition, the report calls for increased investment in research, the crafting of coherent curricula that improve students' ability to solve problems and communicate effectively in the 21st century, increased funding for teachers and the encouragement of scholars to bring their learning to bear on the great challenges of the day. The report also advocates greater study of foreign languages, international affairs and the expansion of study abroad programs.Unfortunately, despite 2½ years in the making, "The Heart of the Matter" never gets to the heart of the matter: the illiberal nature of liberal education at our leading colleges and universities. The commission ignores that for several decades America's colleges and universities have produced graduates who don't know the content and character of liberal education and are thus deprived of its benefits. Sadly, the spirit of inquiry once at home on campus has been replaced by the use of the humanities and social sciences as vehicles for publicizing "progressive," or left-liberal propaganda.Today, professors routinely treat the progressive interpretation of history and progressive public policy as the proper subject of study while portraying conservative or classical liberal ideas—such as free markets or self-reliance --- as falling outside the boundaries of routine, and sometimes legitimate, intellectual investigation.The AAAS displays great enthusiasm for liberal education. Yet its report may well set back reform by obscuring the depth and breadth of the challenge that Congress asked it to illuminate.1. Influential figures in the Congress required that the AAAS report on how to ________.A. maintain people’s interest in liberal educationB. define the government’s role in educationC. keep a leading position in liberal educationD. safeguard individual’s rights to education2. Which one of the following statements about what the AAAS plan suggests is true?A. an exclusive study of American historyB. a greater emphasis on theoretical subjectsC. the application of emerging technologiesD. funding for the study of foreign languages3. It can be inferred from the passage that ________.A.professors are routinely supportive of free marketsB.intellectual investigations are put great value on in collegeC.progressive public policy is out of boundaries of proper studyD.professors have prejudice against classical liberal ideasE.4. Which of the following would be the best title for the text?A. The AAAS’s Contribution to Liberal EducationB. Illiberal Education and “The Heart of the Matter”C. Ways to Grasp “The Heart of the Matter”D. Progressive Policy vs. Liberal EducationSection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentencecan be used only once. Note that there are two more sentences than you need.The Tutorial System of Oxford UniversityIn the University of Oxford, teaching is conducted primarily through the tutorial system. It is one of the most unique and renowned methods of teaching across the world.The weekly tutorial consists of a one-hour meeting between the tutor and small numbers of students (usually two or four). During this time, an essay prepared specifically for that tutorial is read by students and commented upon by the tutor. At the end of the tutorial, the tutor will assign the topic of study for the forthcoming week and suggest readings. ____1____ Meanwhile, they are also complemented by departmental lectures which are conducted on a university wide basis, lab work, and seminars often with groups of perhaps 10 students.Tutorials have gained their reputation because of the close relationship they maintain between the tutor and the student. The tutorial system provides undergraduates with direct and in most cases weekly contact with tutors in their academic fields. ____2____Before the weekly tutorial, students are required to prepare an essay or other works, which they read or present to the tutor. During each tutorial, students are expected to communicate, debate, analyze, and critique the ideas of others as well as their own in conversations with the professor and fellow-students. The tutorial system has great value that it creates learning and assessment opportunities which are highly authentic and difficult to fake, as the student's work is discussed on the spot.____3____ The contrast between tutorials and large lectures common in the American universities is obvious. In the typical American university, students are taught by the same specialists, in the same manner, and held to the same standards.However, during tutorials, students have the opportunity to explore their own ideas directly with experts in particular subjects. ____4____ As a result, students must engage in extensive independent reading and research, using the resources available, under the guidance of the tutor.IV. Summary WritingDirections:Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.HopeNothing in my life had prepared me for what I had to do. Choosing my words carefully, and fighting to stay calm, I told my 4-year-old daughter that her grandmother had suffered a stroke (中风), that she was unconscious, and that the doctors said she would probably never wake up. As she moved closer to me, Amelia looked at me, eyes bright, and said, “Maybe Grandma will be okay.” “Maybe she will,” I said, keeping back the tears. But I knew better. I was flying up to Myrtle Beach, South Carolina, from our Florida home in the morning to say good-bye to my mom.The rest of that awful week, I joined my brother and father sitting by my mother’s side in the hospital room. I held her hand and talked to her. I told her that we still needed her. I told her that it wasn’t time to leave yet. I told herhow much I loved her. And I told her that her little granddaughter, Amelia, believed that she’d get better. The doctors, with all their years of training and experience, offered no hope for recovery. The damage was simply too extensive.A couple of weeks later, an odd thing happened. Mom woke up! And then she persevered through a long and tough process of restoration to health, during which she had to learn to walk, read, and write all over again, and eventually returned home to Dad. The only one who wasn’t shocked was Amelia. The doctors couldn’t explain it. Amelia didn’t need to. Hope came as naturally to her as breathing.So why are we so afraid to hope sometimes? Maybe it’s because over the years, life’s disappointments can turn us to disillusionment (理想破灭). How many times have you heard someone say: “Hope for the best, expect the worst”? That’s not really hope at all.Hope is being able to look at our world with all of the joy and wonder of a child._______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________V. Translation1.希望人人都能各抒己见,因为缺乏沟通就会产生误解。
辽宁省朝阳市建平中学2017-2018学年高三下学期月考数学试卷 Word版含解析
辽宁省朝阳市建平中学2017-2018学年高三下学期月考数学试卷一、填空题(每小题4分,满分56分)1.(4分)θ是第二象限角,则是第象限角.2.(4分)复数z满足|z﹣1|=|z﹣i|,则此复数z所对应的点的轨迹方程是.3.(4分)已知全集U=R,集合A={x|x2﹣2x﹣3>0,x∈R},B={x|m﹣2≤x≤m+2},若(∁U A)∩B={x|0≤x≤3},则实数m的值为.4.(4分)如图,一个圆柱和一个圆锥的底面直径和它们的高都与一个球的直径相等,这时圆柱、圆锥、球的体积之比为.5.(4分)已知tan(﹣α)=,则cos(+2α)的值为.6.(4分)定义在R上的奇函数f(x),f(﹣1)=2,且当x≥0时,f(x)=2x+(a+2)x+b(a,b为常数),则f(﹣10)的值为.7.(4分)公差不为零的等差数列{a n}中,a3﹣a72+a11=0,数列{b n}是等比数列,且b7=a7,则b1•b2…b13等于.8.(4分)已知等差数列{a n}的通项公式为a n=3n﹣5,则(1+x)5+(1+x)6+(1+x)7的展开式中x4项的系数是数列{a n}中的第项.9.(4分)已知极坐标系的极点为直角坐标系的原点O,极轴与x轴的非负半轴重合.若直线l的极坐标方程为θ=(ρ∈R),曲线C的参数方程为(θ为参数,且θ∈R,则直线l与曲线C的交点的直角坐标为.10.(4分)一个口袋内有4个不同的红球,6个不同的白球,若取一个红球记2分,取一个白球记1分,从中任取5个球,使总分不少于7分的取法有多少种.11.(4分)棱长为1的正方体ABCD﹣A1B1C1D1及其内部一动点P,集合Q={P||PA|≤1},则集合Q构成的几何体的表面积为.12.(4分)P是双曲线的右支上一点,M、N分别是圆(x+5)2+y2=4和(x﹣5)2+y2=1上的点,则|PM|﹣|PN|的最大值为.13.(4分)设x,y为实数,且满足:(x﹣2014)3+2013(x﹣2014)=﹣2013,(y﹣2014)3+2013(y﹣2014)=2013,则x+y=.14.(4分)在区间[0,π]上,关于α的方程5sinα+4=|5cosα+2|解的个数为.二、选择题(每小题5分,满分20分)15.(5分)已知θ为实数,若复数z=sin2θ﹣1+i(cosθ﹣1)是纯虚数,则z的虚部为()A.2B.0C.﹣2 D.﹣2i16.(5分)“a=1”是“函数f(x)=|x﹣a|+b(a,b∈R)在区间[1,+∞)上为增函数”的()A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件17.(5分)如果函数f(x)在[a,b]上的最大值和最小值分别为M、m,那么m(b﹣a)≤△f(x)≤M(b﹣a).根据这一结论求出△2的取值范围()A.[0,3]B.[,3]C.[,]D.[,3]18.(5分)如图,已知点P(2,0),正方形ABCD内接于⊙O:x2+y2=2,M、N分别为边AB、BC的中点,当正方形ABCD绕圆心O旋转时,•的取值范围是()A.[﹣1,1]B.[﹣,]C.[﹣2,2]D.[﹣,]三、解答题(满分74分)19.(12分)如图,直四棱柱ABCD﹣A1B1C1D1底面ABCD直角梯形,AB∥CD,∠BAD=90°,P是棱CD上一点,AB=2,AD=,AA1=3,CP=3,PD=1.(1)求异面直线A1P与BC1所成的角;(2)求证:PB⊥平面BCC1B1.20.(14分)已知数列{a n}和{b n}满足:a1=λ,a n+1=a n+n﹣4,b n=(﹣1)n(a n﹣3n+21),其中λ为实数,n为正整数.(1)对任意实数λ,求证:a1,a2,a3不成等比数列;(2)试判断数列{b n}是否为等比数列,并证明你的结论.21.(14分)如图,C、D是两个小区所在地,C、D到一条公路AB的垂直距离分别为CA=1km,DB=2km,AB两端之间的距离为6km.(1)如图1,某移动公司将在AB之间找一点P,在P处建造一个信号塔,使得P对A、C的张角与P对B、D的张角相等,试确定点P的位置.(2)如图2,环保部门将在AB之间找一点Q,在Q处建造一个垃圾处理厂,使得Q对C、D所张角最大,试确定点Q的位置.22.(16分)阅读:已知a、b∈(0,+∞),a+b=1,求y=+的最小值.解法如下:y=+=(+)(a+b)=++3≥3+2,当且仅当=,即a=﹣1,b=2﹣时取到等号,则y=+的最小值为3+2.应用上述解法,求解下列问题:(1)已知a,b,c∈(0,+∞),a+b+c=1,求y=++的最小值;(2)已知x∈(0,),求函数y=+的最小值;(3)已知正数a1、a2、a3,…,a n,a1+a2+a3+…+a n=1,求证:S=+++…+≥.23.(18分)已知函数f(x)=ax2++5(常数a,b∈R)满足f(1)+f(﹣1)=14.(1)求出a的值,并就常数b的不同取值讨论函数f(x)奇偶性;(2)若f(x)在区间(﹣∞,﹣)上单调递减,求b的最小值;(3)在(2)的条件下,当b取最小值时,证明:f(x)恰有一个零点q且存在递增的正整数数列{a n},使得=q+q+q+…+q+…成立.辽宁省朝阳市建平中学2017-2018学年高三下学期月考数学试卷参考答案与试题解析一、填空题(每小题4分,满分56分)1.(4分)θ是第二象限角,则是第一或三象限角.考点:象限角、轴线角.专题:三角函数的求值.分析:由θ的范围判断θ的一半的范围,先写出角的范围,再除以2,求出角的一半的范围,看出角的范围.解答:解:∵θ是第二象限角,∴θ∈(2kπ+,2kπ+π)∴∈(kπ+,kπ+)∴是第一或三象限角,故答案为:一或三.点评:本题考查了角的范围,考查象限角,本题解题的关键是写出象限角的范围,根据不等式的做法,写出要求的角的范围.2.(4分)复数z满足|z﹣1|=|z﹣i|,则此复数z所对应的点的轨迹方程是x﹣y=0.考点:复数的代数表示法及其几何意义.专题:数系的扩充和复数.分析:令z=x+yi(x,y∈R).利用复数的运算法则和模的计算公式即可得出.解答:解:令z=x+yi(x,y∈R).∵复数z满足|z﹣1|=|z﹣i|,∴|x﹣1+yi|=|x+(y﹣1)i|∴,化为x﹣y=0.故答案为:x﹣y=0.点评:本题考查了复数的运算法则和模的计算公式,属于基础题.3.(4分)已知全集U=R,集合A={x|x2﹣2x﹣3>0,x∈R},B={x|m﹣2≤x≤m+2},若(∁U A)∩B={x|0≤x≤3},则实数m的值为2.考点:交、并、补集的混合运算.专题:集合.分析:求出A中不等式的解集确定出A,根据全集求出A的补集,根据B及A补集与B的交集,确定出m的范围即可.解答:解:由A中的不等式变形得:(x﹣3)(x+1)>0,解得:x>3或x<﹣1,即A={x|x<﹣1或x>3},∵全集U=R,∴∁U A={x|﹣1≤x≤3},∵B={x|m﹣2≤x≤m+2},且(∁U A)∩B={x|0≤x≤3},∴m=2.故答案为:2点评:此题考查了交、并、补集的混合运算,熟练掌握各自的定义是解本题的关键.4.(4分)如图,一个圆柱和一个圆锥的底面直径和它们的高都与一个球的直径相等,这时圆柱、圆锥、球的体积之比为3:1:2.考点:旋转体(圆柱、圆锥、圆台).专题:计算题;压轴题.分析:由已知中一个圆柱和一个圆锥的底面直径和它们的高都与一个球的直径相等,则我们易根据圆柱、圆锥及球的体积公式,求出圆柱、圆锥及球的体积,进而得到答案.解答:解:设球的半径为R,则圆柱和圆锥的高均为2R,则V圆柱=2π•R3,V圆锥=π•R3,V球=π•R3,故圆柱、圆锥、球的体积之比为:3:1:2故答案为:3:1:2点评:本题考查的知识点是圆柱、圆锥及球的体积公式,其中根据已知,设出球的半径,进而求出圆柱、圆锥及球的体积中解答本题的关键.5.(4分)已知tan(﹣α)=,则cos(+2α)的值为﹣.考点:运用诱导公式化简求值.专题:三角函数的求值.分析:设t=﹣α,即α=﹣t,tant=,将α代入原式,利用诱导公式化简,再利用万能公式化简,将tant的值代入计算即可求出值.解答:解:设t=﹣α,即α=﹣t,tant=,则cos(+2α)=cos(π﹣2t)=﹣cos2t=﹣=﹣.故答案为:﹣.点评:此题考查了运用诱导公式化简求值,熟练掌握诱导公式是解本题的关键.6.(4分)定义在R上的奇函数f(x),f(﹣1)=2,且当x≥0时,f(x)=2x+(a+2)x+b(a,b为常数),则f(﹣10)的值为﹣993.考点:函数奇偶性的判断.专题:函数的性质及应用.分析:根据f(0)=0 求得b=﹣1,根据f(1)=﹣f(﹣1)=2,求得a,从而求得函数的解析式,从而求得f(﹣10)的值.解答:解:由题意可得f(0)=1+b=0 b=﹣1,f(1)=﹣f(﹣1)=﹣2=2+2+a+b,则a=﹣5.当x≥0时,f(x)=2x﹣3x﹣1,f(﹣10)=﹣f(10)=﹣993,故答案为:﹣993.点评:本题主要考查利用函数的奇偶性求函数的解析式,求函数的值,属于中档题.7.(4分)公差不为零的等差数列{a n}中,a3﹣a72+a11=0,数列{b n}是等比数列,且b7=a7,则b1•b2…b13等于8192.考点:等差数列的性质.专题:计算题;等差数列与等比数列.分析:根据等差数列的性质化简已知条件,得到关于a7的方程,求出方程的解得到a7的值,进而得到b7的值,把所求的式子利用等比数列的性质化简,将b7的值代入即可求出值.解答:解:根据等差数列的性质得:a3+a11=2a7,∵a3﹣a72+a11=0(已知),∴2a7﹣a72=0,解得a7=2,或a7=0(舍去),∴b7=a7=2,又数列{b n}是等比数列,则b1•b2…b13=b713=213=8192.故答案为:8192.点评:本题考查学生灵活运用等差数列的性质及等比数列的性质化简求值,是一道基础题.8.(4分)已知等差数列{a n}的通项公式为a n=3n﹣5,则(1+x)5+(1+x)6+(1+x)7的展开式中x4项的系数是数列{a n}中的第20项.考点:等差数列的性质.专题:计算题;等差数列与等比数列.分析:利用二项展开式的通项公式求出展开式的含x4项的系数;令数列的通项等于x4项的系数;列出方程求出n.解答:解:依题意知,含x4项的系数是C54+C64+C74=55,令3n﹣5=55,得n=20,所以展开式中含x4项的系数是该数列的第20项,故答案为:20.点评:本题考查利用二项展开式的通项公式解决二项展开式的特定项问题、考查等差数列的通项公式.9.(4分)已知极坐标系的极点为直角坐标系的原点O,极轴与x轴的非负半轴重合.若直线l的极坐标方程为θ=(ρ∈R),曲线C的参数方程为(θ为参数,且θ∈R,则直线l与曲线C的交点的直角坐标为(0,0).考点:参数方程化成普通方程.专题:坐标系和参数方程.分析:求出直线l和曲线C的普通方程,联立方程组可得直线l与曲线C的交点的直角坐标.解答:解:∵直线l的极坐标方程为θ=,故直线l的直角坐标系方程为:y=x,∵曲线C的参数方程为,即,故曲线C的参数方程为的普通方程为:y=,x∈[﹣2,2],联立方程后解得:,或(舍去)故直线l与曲线C的交点的直角坐标为(0,0),故答案为:(0,0)点评:本题考查点的极坐标和直角坐标的互化,参数方程与普通方程的互化,要注意x∈[﹣2,2]的限制.10.(4分)一个口袋内有4个不同的红球,6个不同的白球,若取一个红球记2分,取一个白球记1分,从中任取5个球,使总分不少于7分的取法有多少种186.考点:排列、组合的实际应用.专题:计算题.分析:根据题意,设取出红球x个,白球y个,可得关于x、y的不等式组,解可得x、y的值,进而由组合数公式计算每种情况的取法数目,并结合加法原理计算可得答案.解答:解:根据题意,设取出红球x个,白球y个,有0≤x≤4,0≤y≤6,且x、y∈N,则有,解可得,或,则不同的取法有++=186;故答案为186..点评:本题考查排列、组合的应用,关键在于分析题意,列出关于x、y的不等式,得到取出红球、白球的数目情况.11.(4分)棱长为1的正方体ABCD﹣A1B1C1D1及其内部一动点P,集合Q={P||PA|≤1},则集合Q构成的几何体的表面积为.考点:棱柱、棱锥、棱台的侧面积和表面积.专题:常规题型.分析:先确定满足题意的点P的轨迹是什么几何体,然后再求表面解答:解:由题意知,满足集合Q={P||PA|≤1}的点P的轨迹为:以点A为球心,以1为半径的球的部分,它的表面由四部分组成:球面的和3个面积相等扇形(每个扇形为半径为1的圆的)∴表面积S=故答案为:点评:本题考察几何体的表面积,题型比较灵活新颖,须首先确定几何体.要牢记球的表面积公式.属简单题12.(4分)P是双曲线的右支上一点,M、N分别是圆(x+5)2+y2=4和(x﹣5)2+y2=1上的点,则|PM|﹣|PN|的最大值为9.考点:双曲线的简单性质.专题:计算题.分析:由题设知|PF1|﹣|PF2|=2a=6,|MP|≤|PF1|+|MF1|,|PN|≥|PF2|﹣|NF2|,﹣|PN|≤﹣|PF2|+|NF2|,所以,|PM|﹣|PN|≤|PF1|+|MF1|﹣|PF2|﹣|NF2|=6+1+2=9.解答:解:双曲线中,∵a=3,b=4,c=5,∴F1(﹣5,0),F2(5,0),∵|PF1|﹣|PF2|=2a=6,∴|MP|≤|PF1|+|MF1|,|PN|≥|PF2|+|NF2|,∴﹣|PN|≤﹣|PF2|+|NF2|,所以,|PM|﹣|PN|≤|PF1|+|MF1|﹣|PF2|﹣|NF2|=6+1+2=9.故答案为:9.点评:本题主要考查直线与圆锥曲线的综合应用能力,具体涉及到轨迹方程的求法及直线与双曲线的相关知识,解题时要注意合理地进行等价转化.13.(4分)设x,y为实数,且满足:(x﹣2014)3+2013(x﹣2014)=﹣2013,(y﹣2014)3+2013(y﹣2014)=2013,则x+y=4028.考点:函数单调性的判断与证明.专题:函数的性质及应用.分析:由题意,构造函数f(t)=t3+2013t,由f(t)的单调性,求出x﹣2014=2014﹣y,得出x+y的值.解答:解:根据题意,得:∵(x﹣2014)3+2013(x﹣2014)=﹣[(y﹣2014)3+2013(y﹣2014)]=﹣2013,∴(x﹣2014)3+2013(x﹣2014)=3+2013,令f(t)=t3+2013t,(t∈R),∴f(t)是递增函数,且f(x﹣2014)=f;∴x﹣2014=2014﹣y,∴x+y=4028.故答案为:4028.点评:本题考查了函数的单调性的判定及其应用问题,解题时根据题意,构造函数,利用函数的单调性,是关键,是基础题.14.(4分)在区间[0,π]上,关于α的方程5sinα+4=|5cosα+2|解的个数为1.考点:参数方程化成普通方程.专题:坐标系和参数方程.分析:利用换元法,令5cosα=x,5sinα=y,则原方程化为y+4=|x+2|,x,y满足x2+y2=25,于是,方程5sinα+4=|5cosα+2|解的个数问题转化为绝对值函数图象与半圆的交点个数问题.解答:解:令,α∈[0,π],则x2+y2=25,y∈[0,5].从而方程5sinα+4=|5cosα+2|化为y=|x+2|﹣4,当x≥﹣2时,y=x﹣2;当x<﹣2时,y=﹣x﹣6,由此,作出y=|x+2|﹣4的图象,考察x2+y2=25的上半圆与函数y=|x+2|﹣4的图象,可知两图象有一个公共点,故α的值唯一,即关于α的方程5sinα+4=|5cosα+2有1个解.点评:1.本题若直接解三角方程,计算量较大,运用换元及数形结合思想,将三角方程转化为半圆与绝对值函数图象的交点问题,思路非常巧妙,大大简化了求解过程.2.本题考查了圆的参数方程的应用,对于方程的解的个数问题,一般有以下两种方法:(1)几何法:运用数形结合思想,转化为两图象的交点个数问题;(2)代数法:联立方程组,消去适当的元,得到一个一元二次方程,根据判别式△判断.二、选择题(每小题5分,满分20分)15.(5分)已知θ为实数,若复数z=sin2θ﹣1+i(cosθ﹣1)是纯虚数,则z的虚部为()A.2B.0C.﹣2 D.﹣2i考点:复数的代数表示法及其几何意义.专题:数系的扩充和复数.分析:利用复数的实部为0,虚部不为0,求出表达式,解得z的虚部的值.解答:解:θ为实数,若复数z=sin2θ﹣1+i(cosθ﹣1)是纯虚数,∴⇒⇒,(k∈Z),∴cosθ﹣1=﹣2,故选:C.点评:本题考查了复数运算法则和几何意义,属于基础题.16.(5分)“a=1”是“函数f(x)=|x﹣a|+b(a,b∈R)在区间[1,+∞)上为增函数”的()A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件考点:必要条件、充分条件与充要条件的判断.专题:函数的性质及应用;简易逻辑.分析:根据函数的单调性的性质,利用充分条件和必要条件的定义进行判断即可得到结论.解答:解:当a=1时,f(x)=|x﹣1|+b在[1,+∞)上为增函数;反之,f(x)=|x﹣1|+b在区间[1,+∞)上为增函数,则a≤1,故“a=1”是“函数f(x)=|x﹣a|+b(a,b∈R)在区间[1,+∞)上为增函数”的充分不必要条件,故选:A.点评:本题主要考查充分条件和必要条件的判断,利用三角函数的图象和性质是解决本题的关键.17.(5分)如果函数f(x)在[a,b]上的最大值和最小值分别为M、m,那么m(b﹣a)≤△f(x)≤M(b﹣a).根据这一结论求出△2的取值范围()A.[0,3]B.[,3]C.[,]D.[,3]考点:函数的最值及其几何意义.专题:函数的性质及应用.分析:由﹣x2在[﹣1,2]上的最大值为0,最小值为﹣4,得f(x)=在[﹣1,2]上的最大值M=1,最小值m=,再求出m(b﹣a)=,M(b﹣a)=3,从而求出的范围.解答:解:∵﹣x2在[﹣1,2]上的最大值为0,最小值为﹣4,∴f(x)=在[﹣1,2]上的最大值M=1,最小值m=,∴m(b﹣a)=,M(b﹣a)=3,∴的范围是[,3],故选:B.点评:本题考察了函数的最值问题,新定义问题,是一道基础题.18.(5分)如图,已知点P(2,0),正方形ABCD内接于⊙O:x2+y2=2,M、N分别为边AB、BC的中点,当正方形ABCD绕圆心O旋转时,•的取值范围是()A.[﹣1,1]B.[﹣,]C.[﹣2,2]D.[﹣,]考点:平面向量数量积的运算.专题:平面向量及应用.分析:首先,根据,设M(cosα,sinα),N(﹣sinα,cosα),然后,写出向量=(cosα﹣2,sinα)和=(﹣sinα,cosα),从而得到=2sinα,进而确定其范围.解答:解:设M(cosα,sinα),∵,∴,∴N(﹣sinα,cosα),∴=(﹣sinα,cosα),=(cosα,sinα),∴=(cosα﹣2,sinα),∴=﹣sinα(cosα﹣2)+sinαcosα=2sinα,∵sinα∈[﹣1,1],∴2sinα∈[﹣2,2],∴•的取值范围是[﹣2,2].故选:C.点评:本题重点考查了平面向量的实际运用,重点掌握平面向量的坐标运算等知识,属于中档题.三、解答题(满分74分)19.(12分)如图,直四棱柱ABCD﹣A1B1C1D1底面ABCD直角梯形,AB∥CD,∠BAD=90°,P是棱CD上一点,AB=2,AD=,AA1=3,CP=3,PD=1.(1)求异面直线A1P与BC1所成的角;(2)求证:PB⊥平面BCC1B1.考点:异面直线及其所成的角;直线与平面垂直的判定.专题:空间位置关系与距离;空间角.分析:(1)建立空间直角坐标系,利用向量的夹角公式即可得出;(2)利用线面垂直的判定定理即可得出.解答:解:(1)以D原点,DA、DC、DD1分别为x轴、y轴、z轴建立空间直角坐标系.则,P(0,1,0),B,C 1(0,4,3).=,,==.∴异面直线A1P与BC1所成的角的大小等于.(2)过B作BM⊥CD交CD于M,在Rt△BMC中,BM=,MC=2,则BC=,∵PC1==3,,PB=,∵,∴PB⊥BC1.∵B1B⊥平面ABCD,∴B1B⊥PB.又B1B∩BC=B,∴PB⊥平面BCC1B1.点评:本题考查了向量的夹角公式、线面垂直的判定定理,考查了推理能力和计算能力,考查了空间想象能力,属于中档题.20.(14分)已知数列{a n}和{b n}满足:a1=λ,a n+1=a n+n﹣4,b n=(﹣1)n(a n﹣3n+21),其中λ为实数,n为正整数.(1)对任意实数λ,求证:a1,a2,a3不成等比数列;(2)试判断数列{b n}是否为等比数列,并证明你的结论.考点:数列递推式.专题:点列、递归数列与数学归纳法.分析:(1)假设存在一个实数λ,使a1,a2,a3是等比数列,由等比中项的概念列式得到矛盾的等式,说明假设错误,结论得到证明;(2)由递推式b n=(﹣1)n(a n﹣3n+21)得到b n+1,进一步得到,求出b1=﹣(λ+18),由此可知当λ≠﹣18时,数列{b n}是以﹣(λ+18)为首项,﹣为公比的等比数列.解答:(1)证明:假设存在一个实数λ,使a1,a2,a3是等比数列,则有,即,整理得,得到9=0,矛盾.∴a1,a2,a3不成等比数列;(2)解:∵b n=(﹣1)n(a n﹣3n+21),∴==,又b1=﹣(λ+18),∴当λ=﹣18时,b n=b1=0,(n为正整数),此时{b n}不是等比数列;当λ≠﹣18时,b1≠0,由上式可知b n≠0,∴(n为正整数),故当λ≠﹣18时,数列{b n}是以﹣(λ+18)为首项,﹣为公比的等比数列.点评:本题考查了数列递推式,考查了等比关系的确定及等比数列的性质,体现了分类讨论的数学思想方法,是中档题.21.(14分)如图,C、D是两个小区所在地,C、D到一条公路AB的垂直距离分别为CA=1km,DB=2km,AB两端之间的距离为6km.(1)如图1,某移动公司将在AB之间找一点P,在P处建造一个信号塔,使得P对A、C的张角与P对B、D的张角相等,试确定点P的位置.(2)如图2,环保部门将在AB之间找一点Q,在Q处建造一个垃圾处理厂,使得Q对C、D所张角最大,试确定点Q的位置.考点:解三角形的实际应用.专题:解三角形.分析:(1)设出PA的长度x,把∠CPA,∠DPB的正切值用含x的代数式表示,由正切值相等求得x的值,即可确定P点的位置;(2)设出PA的长度x,把∠CQA与∠DQB的正切值用含有x的代数式表示,最后把∠CQD 的正切值用含有x的代数式表示,换元后再利用基本不等式求最值,最后得到使Q对C、D 所张角最大时的x值,即可确定点Q的位置.解答:解:(1)设PA=x,∠CPA=α,∠DPB=β.依题意有,.由tanα=tanβ,得,解得x=2,故点P应选在距A点2km处;(2)设PA=x,∠CQA=α,∠DQB=β.依题意有,,tan∠CQD=tan[π﹣(α+β)]=﹣tan(α+β)=,令t=x+6,由0<x<6,得6<t<12,则=,∵,∴,当时,所张的角为钝角,当,即x=时取得最大角,故点Q应选在距A点km处.点评:本题考查解三角形的实际应用,考查了利用基本不等式求最值,解答的关键是把实际问题转化为数学问题,是中档题.22.(16分)阅读:已知a、b∈(0,+∞),a+b=1,求y=+的最小值.解法如下:y=+=(+)(a+b)=++3≥3+2,当且仅当=,即a=﹣1,b=2﹣时取到等号,则y=+的最小值为3+2.应用上述解法,求解下列问题:(1)已知a,b,c∈(0,+∞),a+b+c=1,求y=++的最小值;(2)已知x∈(0,),求函数y=+的最小值;(3)已知正数a1、a2、a3,…,a n,a1+a2+a3+…+a n=1,求证:S=+++…+≥.考点:基本不等式.专题:不等式的解法及应用.分析:利用“乘1法”和基本不等式即可得出.解答:解(1)∵a+b+c=1,∴y=++=(a+b+c)=3+++2=9,当且仅当a=b=c=时取等号.即的最小值为9.(2)==10+2,而,∴=8,当且仅当,即∈时取到等号,则y≥18,∴函数y=的最小值为18.(3)∵a1+a2+a3+…+a n=1,∴2S=(+++…+)[(a1+a2)+(a2+a3)+…+(a n+a1)]=+++…+++(2a1a2+2a2a3+…+2a n a1)==1.当且仅当a1=a2=…=a n=时取到等号,则.点评:本题考查了“乘1法”和基本不等式的性质,考查了推理能力和计算能力,属于难题.23.(18分)已知函数f(x)=ax2++5(常数a,b∈R)满足f(1)+f(﹣1)=14.(1)求出a的值,并就常数b的不同取值讨论函数f(x)奇偶性;(2)若f(x)在区间(﹣∞,﹣)上单调递减,求b的最小值;(3)在(2)的条件下,当b取最小值时,证明:f(x)恰有一个零点q且存在递增的正整数数列{a n},使得=q+q+q+…+q+…成立.考点:利用导数研究函数的单调性;函数奇偶性的判断.专题:函数的性质及应用;导数的概念及应用;等差数列与等比数列.分析:(1)根据条件很容易求出a,讨论奇偶性根据定义即可,注意对于非奇非偶的,要举出反例.(2)利用导数求出f(x)的单调区间,再与所给单调区间比较即可求b的最小值.(3)说f(x)有一个零点,所以我们先来找f(x)的零点,找到之后再看怎样让它满足所给等式即可.解答:解:(1)由f(1)+f(﹣1)=14得(a+b+5)+(a﹣b+5)=14,所以解得a=2;所以f(x)=,定义域为(﹣∞,0)∪(0,+∞);当b=0时,对于定义域内的任意x,有f(﹣x)=f(x)=2x2+5,所以f(x)为偶函数.当b≠0时,f(1)+f(﹣1)=14≠0,所以f(﹣1)≠﹣f(1),所以f(x)不是奇函数;f(﹣1)﹣f(1)=﹣2b≠0,所以f(x)不是偶函数;所以,b=0时f(x)为偶函数,b≠0时,f(x)为非奇非偶函数.(2)f′(x)===0,解得x=,所以x∈(﹣∞,)时,f′(x)<0,所以f(x)在(﹣∞,)上单调递减,又f(x)在上单调递减,所以,解得b≥﹣2,所以b的最小值是﹣2.(3)在(2)的条件下,f(x)=;当x<0时,f(x)>0恒成立,函数f(x)在(﹣∞,0)上无零点;当x>0时,f′(x)=>0,所以函数f(x)在(0,+∞)上递增,又f()=<0,f(1)=5>0;∴f(x)在(,1)上有一个零点q,即q∈,且f(q)=2=0,整理成,所以;又+…,所以+…,且a n=3n﹣2.点评:本题前两问比较基础,只是在第二问中注意,要说明一个函数非奇非偶,只需举出反例即可.对于第三问,你要去寻找零点,寻找的最后找到了零点所在的区间,零点,即函数在零点处取值为零,所以会得到关于q的一个等式,经过变形就出来了所给等式中的,得到等式之后,会看出很像某个等比数列的和,从而完成了本题的求解.。
【2017.12.06】2017-2018上海建平中学高三英语周考(11.21)
建平中学高三英语周二练习(11.21)II.Grammar and Vocabulary(20%)SectionA(10%)Directions: After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Kazuo Ishiguro, who won this year’s Nobel Prize in Literature, has a number of strings to his bow, or rather his guitar.u The 62-year-old is world famous as a writer of fiction, but his early dream was to be a great singer and songwriter, like last year’s winner, Bob Dylan.His friend and former publisher Robert McCrum recalls the young Ishiguro 21) (turn) up at the publishing house Faber and Faber with a bunch of his stories in one hand and a guitar over his shoulder. It was his stories22) earned him the great honor he received two weeks ago23) his name indicates, Ishiguro comes from a Japanese background, although he came to Britain from Japan at the age of 5 and is a British citizen who writes in English. He24) (educate) at the University of East Anglia, a school that has become known for training writers.Ishiguro’s writing is hig hly restrained. His characters are often reluctant to express25), exceptin a kind of code. This certainly gives his writing a quality in common with that of Jane Austen, an author to 26) he is often compared. The best example of this is his novel The Remains of the Day, which later became a successful film.The central character of the book is a butler called Stevens. He is an extremely loyal servant to an English lord, and is a character who some might call repressed. He misses out on affection andlove27) he will not confess his feelings toanyone.The story is told by Stevens, and his style is as polite and unrevealing as his behavior. Of course,we28 read between the lines to uncover the ―real‖ story, which isn’t quitethe one the butler is telling. Stevens finds it a challenge 29) (communicate), and communication is often a theme in Ishiguro’snovels.In this author’s sense of the world, there is a gap between our feelings and our ability to communicate them. The Nobel Committee emphasized thistheme30) it talkedabout Ishiguro’s work. The writer has, the committee claimed, ―in novels of great emotional force ... uncovered the abyss beneath our illusory sense of connection with the world‖.Directions:Complete the following passage by using the words inthebox. Each word canonlyTowalkdownMainStreets,U.S.A.,istowalkthroughaparticular31)ofAmerican’scollective memory. It’s small-town values.It’s optimism.It’s energy.It’s innovation .It’s a certain kind of innocence. It is by design,the story of the ―American Way‖ -andone that has played a(n) 32) role in shapingthe collective memory of AmericanhiatoryThough Disney Parks today are well-established cultural icons,the Walt Disney Company’s startasa(n)33 ofAmericanhistoryandidealsbeganlongbeforeitopenedthegatesof Disneyland.It is a sophisticated process. From its creation in 1923 as ―The Disney Brothers CartoonStudio,‖theDis neyoperationwasproducingfilmsthat34) Americans’ideal version ofthemselves.Often set in a glorified 19th century rural American heartland,theseanimations35) ahero(usuallytheindomitable (不屈不挠的) MickeyMouse)whosestrongworkethicandbravery in thefaceofrisk al ways found the ―littleguy‖ and ―commonman‖triumphantover his foe(敌人).Such optimistic sentiment heldgreat36) inthe country’sDepressionyears,andmostcertainly led Mickey and company to become householdnames.This narrative of upholding American values continued at the brand’s theme parks, where Walt Disney translated it into a physical experience using American folk history. ―Disneyland,‖hesaid at the park’sgrandopening,‖is37)to the ideals,the dreams,and the hard factsthathavecreatedAmerican.‖Visitors are made to feel as if they are stepping into moments of history, ones chosen to fit atidy narrative that 38) the nation’s past and future commitment to lift, liberty, and the pursuit ofhappiness.To be su re, Disney’s unique abilityto39)American history in its own nostalgia-tinged(带有怀旧气息的)image---whathascometobecalled‖Disney fiction‖--hasdrawnsignificant 40) .Butwhenitcomestocollectivememory,itmustbenotedthatthepartcanbe rememberedone way and exist faithfully in another, and that many different versions can have their place in the American mind. Even as characters change and Tomorrowland becomes an artifact of yesterday,DisneylandcontinuestobeatouchstoneofAmericancollectivememory.III.ReadingComprehension(45%)Directions: For each blank in the following passage there are four words or phrases marked A,B, C and D. Fill in each blank with the word or phrase that best fits the context.Whether it's from an awful breakup or a painful life event, some memories can haunt us for our entire lives. But, what if science 41) your bad memories so that you can start all over again? As is known ta all, memory is an incredibly complex 42) . While scientists used to believe it was like a filing cabinet and particular memories were stored in different sections of the brain, we now know thisis43) .In fact, each memory is a brain wide process. If you end up remembering something, it’s becausethecellsinyourbrainarebeingfired44) new connections and linksandliterally rewiring the circuitry of your mind. And this change is partially 45) by proteins in the brain. So what if the proteins aren’tavailable?Simply put, memories can’t be made. Seriously, scientists have tested this by giving animals drugs that prevent these proteins from forming.46), the animals have no recollection of the things that took place shortly after the drug was taken. From this research, scientists actually found a way to target long term memories for 47) . You see, every singletime you remember a memory,your brain is once again firing andrewiring.In fact, each time you reflect on a memory, you are physically changing that memory in your mind. A nd each time that memory is altered a little, reflecting your 48)thoughts. Remembering is an act of 49) and imagining,meaning the more you reflect on old memories, the less accurate they become. And scientists have actually quantified this change.After 9/11, hundreds od people were asked about their memories of the dreadful day. A year later, 37%of the details had changed. By 2004, nearly 50% of the details had changed or gone50) .Andbecausememoriesareformedandrebuilteverytime,ifyouadminister(服药)theprotein-preventingdrugwhilerecallingamemorycanbe51) removed.To test this, scientists took lab rats and played a sound for them, shortly followed by an electric shock. After doing this multiple times, the rats quickly learned that if they heard the sound,a shock wan soon to follow. 52), they would stress up and freeze every time they heard it. Months later, these rats wouldstill53) the noise; however, if they administeredthedrug first, the rats would lose the memory of the sound, and simply continue on. They had lost their memory of that specificnoise.To be sure the drug wasn’t just causing large-scale brain damage, scientists repeated these experimentswithmultipletonesthistime.Bothsoundswouldwarnforashock,and54)the mice would fear both. But if they administered the drug and played only one of the sounds,the micewouldonlyforgetthatonetone,whilestillremaining55) of the other.Overtimescientists have discovered specific drugs to target particular proteins across different parts of the brain.41 . A. refresh B. forget C. control D. erase42 . A. range B. process C. idea D. structure43 . A. incorrect B. evident C. partial D. complex44 . A. eliminating B. decreasing C. bringing D. building45 . A. identified B. stopped C. facilitated D. perfected46 . A. By contrast B. On the contrary C. As a result D. For example47 . A. evaluation B. estimation C. deletion D. production48 . A. current B.precious C. terrified D. previous49 . A. reception B. creation C. repetition D. reproduction50 . A. uncontrolled B. complicated C. valuable D. missing51 . A. repeatedly B. effectively C. hardly D. consistently52 . A. Therefore B. However C. Besides D. Instead53 . A. turn to B. respond to C. watch out D. turn down54 . A. surprisingly B. especially C. eventually D. similarly55 . A. suspicious B. careful C. painful D. fearfulSection B(22%)Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose theone that fits best according to the information given in the passage you have just read.(A)As a person who writers about food and drink for a living, I couldn’t tell you the first thing about Bill Perry or whether the beers he sells are that great. But I can tell you that I like this guy. That’s because he plans to ban tipping in favor of paying his servers an actual living wage.I hate tipping.I hate it because it’s an obligation disguised as an option. I hate it for the post-dinner mathit requires of me. But mostly, I hate tipping because I believe I would be in a better place if pay decisions regarding employees were simply left up to their employers, as is the custom in virtually every otherindustry.Most of you probably think that you hate tipping, too. Research suggest otherwise. You actually love tipping! You like to feel that you have a voice in how much money you server makes.No matter how the math works out, you persistently view restaurants with voluntary tipping systems as being a letter value, which makes it extremely difficult for restaurants and bars to do away with the tipping system.One argument that you tend to hear a lot from the pro-tipping crowd seems logical enough:the service is better when waiters depend on tips, presumably because they see a benefit to successfully veiling their contempt for you .Well , if this were true we would all be slipping a few100 dollar bills to our doctors on the way out their doors, too. But as it turns out, waiters see onlya tiny bump in tips when they do an exceptional job compared to a passable one. Waiters, keen observers of humanity that they are , are catching on to this; in one poll, a full 30% said they didn’t believe the job they did any impact on the tips theyreceived.So come on, folks: get on board with ditching the outdated tip system. Pay a little more up –front for your beer or burger. Support Bill Perry’s pub, and any other bar or restaurant that doesn’task you to do drunken math.56.What can we learn about Bill Perry from thepassage?A)He runs a pub that serves excellentbeer.B)He intends to get rid of the tippingpractice.C)He gives his staff a considerable sum fortips.D)He lives comfortably without getting anytips.57.Why do many people love tipping according to theauthor?A)They help improve the quality of the restaurants they dinein.B)They believe waiters deserve such rewards for goodservice.C)They want to preserve a wonderful tradition of theindustry.D)They can have some say in how much their serversearn.58.What have some waiters come to realize according to asurvey?A)Service quality has little effect on tipsize.B)It is in human nature to try to save ontips.C)Tips make it more difficult to pleasecustomers.D)Tips benefit the boss rather than theemployees.59.What does the author argue for in thepassage?A)Restaurants should calculate the tips forcustomers.B)Customers should pay more tips to help improveservice.C)Waiters deserve better than just relying on tips for aliving.D)Waiters should be paid by employers instead ofcustomers.(B)Inspiring young minds!TOKNOW Magazine is a big hit in the world of children’s publishing, bringing a unique combination of challenging ideas and good fun to young fans every month.Sounds too good to be true?Take a look online —evidence shows that thousands of teachers and parents know a good thing when they see it and recommend TOKNOW to their friends.Happy Birthday All Year!What could be more fun than a gift that keeps coming through the letterbox every month? The first magazine with your gift message will arrive in time for the special day. SUBSCRIBE NOW □Annual SubscriptionEurope£55 Rest of World£65 □Annual Subscription with Gift PackIncludes a Mammoth Map, a passport Puzzle Booklet, and Subscription Europe£60 Rest of World£70Refund Policy —the subscription can be cancelled within 28 days and you can get your money back.60. Why is TOKNOW a specialmagazine? A. It entertains youngparents.B. It provides seriousadvertisements.C. It publishes popular sciencefictions.D. It combines fun with complexconcepts.61. How much should you pay if you make a 12-mouth subscription to TOKNOW with gift pack fromChina? A.£55. B.£60. C.£65. D.£70.62. Subscribers of TOKNOWwouldget .A. free birthdaypresentsB. full refund within 28daysC. membership of the TOKNOWclubD. chances to meet the experts inperson(C )What’s inside?Every month the magazine introduces a fresh new topic with articles, experiments and creative things to make — the magazine also explores philosophy and wellbeing to makesure young readers have a balanced take on life. What is so special about TOKNOW magazine?Well, it has no ads or promotions inside — instead it is jam-packed with serious ideas. TOKNOW makes complex ideas attractive and accessible to children, who can become involvedin advanced concept s and even philo s ophy (哲学) —and they will soon discover that TOKNOW feels more like a club than just a magazine.Robert F. Kennedy once said that a country's GDP measures ―everything except that which makes life worthwhile.‖ With Britain voting to leave the European Union, andGDP already predicted to slow as a result, it is now a timely moment to assess what he was referring to.The question of GDP and its usefulness has annoyed policymakers for over half a century. Many argue that it is a flawed concept. It measures things that do not matter and misses things that do. By most recent measures, the UK’s GDP has been the envy of the Western world, with record low unemployment and high growth figures. If everything was goingso well, then why did over 17 million people vote for Brexit, despite the warnings about what it could do to their country’s economicprospects?A recent annual study of countries and their ability to convert growth into well-being sheds some light on that question. Across the 163 countries measured, the UK is one of the poorest performers in ensuring that economic growth is translated into meaningful improvements for its citizens. Rather than just focusing on GDP, over 40 different sets of criteria from health, education and civil society engagement have been measured to get a more rounded assessment of how countries areperforming.While all of these countries face their own challenges, there are a number of consistent themes. Yes, there has been a budding economic recovery since the 2008 global crash, but in key indicators in areas such as health and education, major economies have continued to decline. Yet this isn’t the case with all countries. Some relatively poor European countries have seen huge improvements across measures including civil society, income equality andenvironment.This is a lesson that rich countries can learn: When GDP is no longer regarded as the sole measure of a country’s success, the world looks very different.So what Kennedy was referring to was that while GDP has been the most common method for measuring the economic activity of nations, as a measure, it is no longer enough. It does not include important factors such as environmental quality or education outcomes – all things that contribute to a person's sense ofwell-being.The sharp hit to growth predicted around the world and in the UK could lead to a declinein the everyday services we depend on for our well-being and for growth. But policymakers who refocus efforts on improving well-being rather than simply worrying about GDP figures could avoid the forecasted doom and may even see progress.62.Robert F. Kennedy is cited because he[A]praised the UK for its GDP.[B]identified GDP with happiness.[C]misinterpreted the role of GDP.[D]had a low opinion ofGDP.63.Which of the following is true about the recent annual study?[A]It excludes GDP as anindicator.[B]It is sponsored by 163 countries.[C]Its criteria are questionable.[D]Its results areenlightening.64.In the last two paragraphs, the author suggests that[A]the UK is preparing for an economic boom.[B]high GDP foreshadows an economicdecline.[C]it is essential to consider factors beyond GDP.[D]it requires caution to handle economicissues.65.Which of the following is the best for the text?[A]High GDP But Inadequate Well-being, a UK lesson[B]GDP figures, a Window on Global EconomicHealth[C] Robert F. Kennedy, a Terminator of GDP[D]Brexit, the UK’s Gateway to Well-beingSection CDirections: Complete the following passage by using the sentences given below. Each sentence can be used only once. Note that there are two more sentences than you need.A.Such theory, which sits in a big bucket of academic study called ―behavioral economics,‖is what Prof. Thaler is famousfor.B.Then there is this work on the ―planner-dose‖syndrome.C.It says people tend to divide their expenses into separate blocks even though the money comes from the samesource.D.It says we often chose what is the easiest over what is thewisest.E.Given two options, we are likely to pick the wrong one even if that means makingourselves less welloff.F.He has been rewarded both via the recognition of the Nobel Prize and by the not inconsiderable sum of $1.1 million in prizemoney.How do you get people to eat more healthily?You could put forward some powerful arguments about how obesity can lead to many serious diseases such as type-2 diabetes(Ⅱ型糖尿病).you could put large red traffic light signs on products high in salt,sugar and fat. You could take part in campaigns warning that overeating unhealthy foods can reduce life expectancy.Or, you could just change where you put the salad boxes on supermarket shelves.The last option is an example of nudge theory(助推理论) at work. The theory was developed and popularized by Richard Thaler,the University of Chicago economist who was announced as this year’s recipient(接受者) of the Nobel Prize for Economics.Prof. Thaler’s central argument is tha t we are not the rational beings who favor more traditional economictheory.67)Lack of thinking time,habit and poor decision-making mean that even when presented with a factual analysis on, for example, healthy eating, we are still likely to pick burger and chips. We’re hungry,we’re in a hurry, and burger and chips is what we always buy.Nudge theory takes accountofthis.68) Tests have shown that healthier foods putateye level sell better. That’s because the foods are able to ―nudge‖ a customer towards a purchase,whether he or she has any idea about obesity argument or not. The theory has been so famous that some governments have had their own ―nudge units,‖such as the Beh avioral Insights Team in the United Kingdom.They help develop policies to make people behave ―more rationally‖ and push them towards better outcomes.Prof. Thaler also gave us the concept of ―mental accounting.‖69)For example,people usually spend more on a debit card in a food shop compared with cash even though the money all ultimately comes from their earnings.70) According to Prof.Thaler,we lack self-control and will act in ourownshort-termself-interest. We need extra encouragement or even reward to plan long-term,rather than simply being told that,rationally, it is a goodidea.Having received news of the award, Prof.Thaler said that his job was to ―add human beings‖ to economic theory. Asked how he would spend his prize money, he gave just a brief answer. ―Irrationally.‖第Ⅱ卷(共 50 分)ⅠSummary Writing(10%)Directions: Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.Rote learning has become seen as an outdated method of teaching. The dictionary defines learning ―by rote‖ as:‖from memory,without though of meaning; in a mechanical way.‖The decline of rote learning has been quickened by technology. No one needs to memorize friends’phone numbers or email addresses because such data is conveniently stored and accessible electronically. And why remember when and where World War Ⅱbroke out when you can findthe answer on the Internet in about six seconds? But now there are voices for a need to return to rote learning.In fact, memorizing key data is essential to learning any skill. Doctor requires knowledge of medicine and lawyer requires knowledge of cases and laws. Of course, being able to recall things will not further your understanding of those things, but without memorizing these foundation elements, you cannot progress to a deeper understanding of a subject.While the internet and computers have weakened the need for us to remember things, it may well be that mobile learning can help bring this style of learning back to life bu making it more convenient and more fun.Drilling yourself---with flashcards or by repetition--is usually hard and boring work, which is way most people application tables to be drilled into them by teachers or parents. Rote learning without a willing third party can be a battle of discipline and motivation. But mobile learning can make those flashcards and drills more appropriate to individual study; our digital devices can challenge and inform us at the same time and also keep us motivated, whether through game-like structures or recording our progress.Once you’ve acquired the essentials of a subject by rote learning, you will find it easier to go deeper in the application of knowledge which is important.Ⅱ. Translation(15%)Directions: Translate the following sentences into English, using the words given in the brackets.1.我们中3/5以上的人热衷于田径运动。
2017-2018年上海市建平中学高三上期中含答案
建平中学高三上期中测试试卷一. 填空题1. 函数2()log (3)f x x =-的定义域是2. 若集合1{|0}3x A x x -=>-,则R C A = 3. 函数()sin f x x =的零点是4. 已知θ是第二象限角且4cos 5θ=-,则sin()4πθ+= 5. 在扇形OAB 中,中心角23AOB π∠=,若弧AB 的长为2π,则扇形OAB 的面积为 6. 函数sin(2)4y x π=+的单调递增区间为7. 函数2()2cos sin 21f x x x =+-,[0,]2x π∈的值域为 8. 函数()sin f x A x ω=(0A >,0ω>)在[0,]π上至少取到一次振幅,则频率的最小 值为9. 已知函数()f x 满足:对任意,a b R ∈,a b ≠,都有()()()()af a bf b af b bf a +>+,则不等式(||)(21)f x f x >+的解集为10. 若关于x 的不等式2cos 40x ax x π-+≥对任意*x N ∈成立,则实数a 的取值范围是11. 设函数()f x 、()g x 的定义域均为R ,若对任意12,x x R ∈,且12x x <,具有12()()f x f x ≤,则称函数()f x 为R 上的单调非减函数,给出以下命题:① 若()f x 关于点(,0)a 和直线x b =(b a ≠)对称,则()f x 为周期函数,且2()b a -是 ()f x 的一个周期;② 若()f x 是周期函数,且关于直线x a =对称,则()f x 必关于无穷多条直线对称;③ 若()f x 是单调非减函数,且关于无穷多个点中心对称,则()f x 的图像是一条直线; ④ 若()f x 是单调非减函数,且关于无穷多条平行于y 轴的直线对称,则()f x 是常值函数; 以上命题中,所有真命题的序号是12. 已知1a 、2a 、3a 、4a 与1b 、2b 、3b 、4b 是8个不同的实数,若方程12341234||||||||||||||||x a x a x a x a x b x b x b x b -+-+-+-=-+-+-+-有有限多个解,则此方程的解最多有 个二. 选择题13. 将函数sin 2y x =的图像向左平移4π个单位,得到函数( )的图像 A. sin 2y x = B. cos2y x = C. sin 2y x =- D. cos2y x =- 14. 下列函数在其定义域上既是奇函数,又是增函数的是( )A. lg(y x =B. 1lg1x y x +=- C. 11212x y =+- D. 1122x x y +-+=- 15. 下列关于充分必要条件的判断中,错误的是( )A. “(0,)2x π∈”是“1sin 2sin x x+≥”的充分条件 B. “2a b +≥”是“1ab ≥”的必要条件C. “0x >”是“12x x+≥”的充要条件D. “0a >,0b >”是“a b +> 16. 汽车的“燃油效率”是指汽车每消耗1升汽油行使的里程,下图描述了甲、乙、丙三辆汽车在不同速度下的燃油效率情况,下列叙述中正确的是( )A. 消耗1升汽油,乙车最多可行使5千米B. 以相同速度行使相同路程,三辆车中,甲车消耗汽油最多C. 甲车以80千米/小时的速度行使1小时,消耗10升汽油D. 某城市机动车最高限速80千米/小时,相同条件下,在该市用丙车比用乙车更省油三. 解答题17. 在ABC ∆中,角A 、B 、C 所对的边分别为a 、b 、c ,1cos 3A =.(1)若cos B =,求a b的值;(2)若a =ABC ∆的面积的最大值.18. 设函数()41x f x =-(0x ≥)的反函数为1()f x -,4()log (31)g x x =+.(1)求1()f x -;(2)若函数1()2()()h x g x f x -=-的图像与直线y a =有公共点,求实数a 的取值范围.19. 某工程队共有500人,要建造一段6000米的高速公路,工程需要把500人分成两组,甲组的任务是完成一段4000米的软土地带,乙组的任务是完成剩下的2000米的硬土地带,据测算,软、硬土地每米的工程量是30工(工为计量单位)和40工.(1)若平均分配两组的人数,分别计算两组完工的时间,并求出此时全队的筑路工期;(2)如何分配两组的人数会使得全队的筑路工期最短?20. 已知函数()||f x x x a bx =-+,,a b R ∈.(1)若0a =,判断()f x 的奇偶性,并说明理由;(2)若0b =,求()f x 在[1,3]上的最小值;(3)若0b >,且22()3a b f x +=有三个不同实根,求22ab a b +的取值范围.21. 给定函数()f x 、()g x ,定义()()()((),())()()()f x f x g x F f x g x g x f x g x ≥⎧=⎨<⎩. (1)证明:()()|()()|((),())2f xg x f x g x F f x g x ++-=; (2)若()sin2cos f x x x =-,()sin 2cos g x x x =+,证明:((),())F f x g x 是周期函数;(3)若11()sin f x A x ω=,22()sin g x A x ω=,0i A ≠,0i ω≠,1,2i =,证明:()()f x g x +是周期函数的充要条件是21ωω为有理数.参考答案一. 填空题1. (3,)+∞2. [1,3]3. {|,}x x k k Z π=∈4. 10-5. 3π6. 3[,]88k k ππππ-+,k Z ∈7. [- 8. 14π 9. 1(,)3-∞- 10. 13[,4]3- 11. ②④ 12. 4二. 选择题13. B 14. D 15. B 16. D三. 解答题17.(1)2;(218.(1)14()log (1)f x x -=+(0x ≥);(2)0a ≥. 19.(1)硬土480,软土320,全队工期480;(2)硬土300人,软土200人.20.(1)奇函数;(2)min 11013()393414a a a f x a a a a -<⎧⎪≤≤⎪=⎨-<<⎪⎪-≥⎩;(3)11(,)63. 21. 略.。
2017-2018上海建平中学高三上英语周练三(教师用)
Section A
Directions:For each blank in the following passage there are four words or phrasesmarked A, B. C and D. Fill in each blank with the word or phrase that best fits the context.
The37of these events was theindustrial pared with the preindustrial city,the industrial city was larger, more densely settledand more diverse.It was a place where large numbers of people—with a wide range of skills, interests, and cultural backgrounds---could liveand work together in a(n)38 C space. Also, unlike the preindustrialcity,whichhad served39as a religious or government center, the industrial city was a commercial hub. In fact, its abundant job opportunity attracted so many ruralmigrants that migration40forthelargest share of its population growth. Without these migrants, cities would not have grownat allbecause of the high mortality rate brought about by extremely poor sanitary conditions.
上海市建平中学高三月考试卷(2017.10)
建平中学高三月考数学试卷2017.10一. 填空题1. 已知集合{|1}A x x =<,{|0}B x x =≥,则A B =2. 函数2()log (1)f x x =-的定义域为3. 当0x >时,函数1()f x x x -=+的值域为4. 若“1x >”是“x a >”的充分非必要条件,则实数a 的取值范围是5. 若集合()f x 是奇函数,且0x <时,()2f x x =-,则1(3)f -=6. 已知集合2{|320,}A x x x x =-+≤∈Z ,{|10}B t at =-=,若A B A =,则实数a的取值集合为7. 已知函数2()lg(45)f x ax x =-+在(1,2)上为减函数,则实数a 的取值集合为8. 已知不等式1xx a≤-的解集为A ,若1A ∉,则实数a 的取值范围是 9. 设函数41()ln(1||)1f x x x =+-+,若()(21)f a f a >-,则实数a 的取值范围是10. 若集合2{|40}A x x x A =++=,集合{|B t =函数2()48(4)f x x x t t =-+-至多有一 个零点},则AB 的元素之和的函数关系式()f a =11. 当0m >时,方程2(1)mx m --=在[0,1]x ∈上有且只有一个实根,则实数m 的 取值范围是12. 已知函数2||,()44,x x a f x x ax a x a≤⎧⎪=⎨-+>⎪⎩,记函数()()g x f x t =-,若存在实数t ,使得函数()g x 有四个零点,则实数a 的取值范围是二. 选择题13. 下列函数中,与函数lg 10x y =的定义域和值域相同的是( )A. y =B. y =C. 2x yx = D. y =14. 命题:“若21x =,则1x =”的逆否命题为( )A. 若1x ≠,则1x ≠或1x ≠-B. 若1x =,则1x =或1x =-C. 若1x ≠,则1x ≠且1x ≠-D. 若1x =,则1x =且1x =-15. 若函数2()f x ax bx c =++在区间[0,1]上的最大值是M ,最小值是m ,则M m -( ) A. 与b 有关,且与c 有关 B. 与b 有关,但与c 无关 C. 与b 无关,且与c 无关 D. 与b 无关,但与c 有关 16. 已知函数()y f x =()x ∈R ,给出下列命题:① 若()f x 既是奇函数又是偶函数,则()0f x =;② 若()f x 是奇函数,且(1)(1)f f -=,则()f x 至少有三个零点; ③ 若()f x 在R 上不是单调函数,则()f x 不存在反函数;④ 若()f x 的最大值和最小值分别为M 、m ()m M <,则()f x 的值域为[,]m M 则其中正确的命题个数是( )A. 1B. 2C. 3D. 4三. 解答题17. 已知全集U =R ,1{|}P x a x=>,2{|310}Q x x x =-≤. (1)若1a =,求()U C P Q ;(2)若P Q P =,求实数a 的取值范围.18. 已知函数11()221xf x =+-. (1)判断函数()f x 的奇偶性,并说明理由; (2)解不等式5()6f x ≥.19. 某城市要建造一个边长为2km 的正方形市民休闲公园OABC ,将其中的区域ODC 开挖成一个池塘,如图建立平面直角坐标系后,点D 的坐标为(1,2),曲线OD 是函数2y ax =图像的一部分,过对边OA 上一点M 的区域OABD 内作一次函数y kx m =+(0)k >的图像,与线段DB 交于点N (点N 不与点D 重合),且线段MN 与曲线OD 有且只有一个公共点P ,四边形MABN 为绿化风景区. (1)写出函数关系式()m f k =;(2)设点P 的横坐标为t ,将四边形MABN 的面积 S 表示成关于t 的函数()S g t =,并求S 的最大值.20. 设函数()|424|2x x x f x a a =-⋅++⋅,其中a ∈R . (1)当0a <时,求函数()f x 的反函数1()f x -;(2)若5a =,求函数()f x 的值域并写出函数()f x 的单调区间; (3)记函数()()2xf xg x =(02)x ≤≤,若函数()g x 的最大值为5,求实数a 的取值范围.21. 已知函数()log n f x x =(0,1)n n >≠. (1)若12()10f x x =,求2212()()f x f x +的值;(2)设1()()1x g x f x +=-,当(,)x m n ∈时,()g x 的值域为(1,)+∞,试求m 与n 的值; (3)当3n =时,记11()()()mh x f x f x --=+(0)m >,如果对于区间[1,0]-上的任意三个实数r 、s 、t ,都存在以()h r 、()h s 、()h t 为边长的三角形,求实数m 的取值范围.建平中学高三月考数学试卷分析一.填空题1.已知集合{|1}A x x =<,{|0}B x x =≥,则A B =答案:[0,1)点评:考察集合的运算,基础题。
2017-2018上海建平中学高三周考卷--解析版
2017年建平中学高三11月14日周考卷II.Grammar and vocabulary(20)Section A(10)Directions :After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.At least 10 terrorists were killed and nine policeman 21 (wound) on Sunday during a security raid in Giza province near the capital Cairo, the Egyptian Interior Ministry said in a statement.The terrorists were extremist elements 22 (escape) from North Sinai province and hiding in two apartments in Giza’s Ard al-Liwaa district in preparation for carrying out a number of terror operations, said the police statement.“Fire exchange with eight militants in the first apartment led to killing of them and shootout in the 23 apartment killed two,” said the statement , noting that the gunfire was started by the militants and it continued for four hours.“One of them threw an explosive device at the forces but it blew him off,” it added.The police said that the confrontations wounded nine policeman 24 four machine guns and ammunition were seized during the raid.Since March, similar security campaigns killed about 50 militants in the provinces of Cairo, Giza, Alexandria, Beheira, Fayoum, Qalioubiya,Minufiya, Ismailia and others.Egypt has been fighting against a wave of terror activities 25 killed hundreds of policemen and soldiers since the military toppled former Islamist president Mohamed Morsi in July 2013 in response to mass protests 26 his one-year rule and his currently outlawed Muslim Brotherhood group.Terror attacks in Egypt 27 27 focus on police and military men in North. Sinai before spreading nationwide and targeting the Coptic minority as well,with most of them 28(claim) by a Sinai-based group loyal to the regional Islamic State militant group.Another militant group 29 (refer) to itself as Hasm, which appeared late last year and is regarded by the police as an affiliate with the Brotherhood, claimed responsibility for a number of terrorist attacks that killed several policemen in the country.Meanwhile, the Egyptian military and police have killed hundreds of militants and arrested a similar number of suspects as part of the country’s anti-terror war 30 (declare) by President Abdel-Fattah al-Sisi, the army chief then, following Morsi’s removal.答案:21.were wounded 22.escaping 23.other 24.while 25.that26.against ed to 28.claimed 29.referred30.declared解析:21. 考查动词。
2017-2018学年上海市建平中学高三(上)9月月考数学试卷 解析版
2017-2018学年上海市建平中学高三(上)9月月考数学试卷一、填空题1.(3分)在(x+a)5的二项式展开式中,x2的系数与x3的系数相同,则非零实数a的值为.2.(3分)袋中共有15个除颜色外完全相同的球,其中10个白球5个红球,从袋中任取2个球,所取的2个球中恰有1个白球,1个红球的概率为.3.(3分)设双曲线C的焦点在x轴上,渐近线方程为y=x,则其离心率为;若点(4,2)在C上,则双曲线C的方程为.4.(3分)已知集合{x|(x﹣1)(x2﹣x+a)=0,x∈R}中的所有元素之和为1,则实数a的取值集合为.5.(3分)已知x∈C,且x5﹣1=0,则=.6.(3分)设,则=.7.(3分)若复数z满足,则复数|z﹣1﹣i|的最大值为.8.(3分)在平面上,过点P作直线l的垂线所得的垂足称为点P的直线上的投影,由区域中的点在直线x+y﹣2=0上的投影构成的线段记为AB,则|AB|=.9.(3分)已知△ABC,若存在△A1B1C1,满足,则称△A1B1C1是△ABC的一个“友好”三角形.在满足下述条件的三角形中,存在“友好”三角形的是:(请写出符合要求的条件的序号)①A=90°,B=60°,C=30°;②A=75°,B=60°,C=45°;③A=75°,B=75°,C=30°.10.(3分)集合,若B⊆A,则实数a的取值范围是.11.(3分)在△ABC中,D、E分别是AB,AC的中点,M是直线DE上的动点,若△ABC的面积为1,则•+2的最小值为.12.(3分)已知函数f(x)=(a>0且α≠1)在R上单调递减,且关于x的方程|f(x)|=2﹣x恰有两个不相等的实数解,则a的取值范围是.二、选择题13.(3分)若a、b为实数,则ab(a﹣b)<0成立的一个充要条件是()A.B.C.D.14.(3分)l1、l2是空间两条直线,α是平面,以下结论正确的是()A.如果l1∥α,l2∥α,则一定有l1∥l2B.如果l1⊥l2,l2⊥α,则一定有l1⊥αC.如果l1⊥l2,l2⊥α,则一定有l1∥αD.如果l1⊥α,l2∥α,则一定有l1⊥l215.(3分)已知数列{a n}共有5项,满足a1>a2>a3>a4>a5≥0,且对任意i,j(1≤i≤j≤5),有a i﹣a j仍是该数列的某一项,则下列命题中,假命题的序号是()A.数列{a n}中一定存在一项为0B.存在1≤i<j≤5,使得ia i=ja jC.数列{a n}一定是等差数列D.集合A={x|x=a i+a j,1≤i<j≤5}中元素个数为15.16.(3分)已知函数f(x)=,有下列四个结论:①对任意x∈D,f(x)+f(﹣x)=0恒成立;②存在m∈(0,1),使得方程|f(x)|=m有两个不等实根;③对任意x1,x2∈D,若x1≠x2,则一定有f(x1)=f(x2);④对任意k∈(1,+∞),函数g(x)=f(x)﹣kx有三个零点.上述结论正确的个数为()A.1B.2C.3D.4三、解答题17.如图,在长方体ABCD﹣A1B1C1D1中,AB=8,BC=5,AA1=4,平面α截长方体得到一个矩形EFGH,且A1E=D1F=2,AH=DG=5.(1)求截面EFGH把该长方体分成的两部分体积之比;(2)求直线AF与平面α所成角的正弦值.18.已知数列{a n}是首项等于的等比数列,公比q∈N*,S n是它的前n项和,满足S4=5S2.(1)求数列{a n}的通项公式;(2)设b n=log a a n(a>0且a≠1),求数列{b n}的前n项和T n的最值.19.某校兴趣小组在如图所示的矩形区域ABCD内举行机器人拦截挑战赛,在E处按方向释放机器人甲,同时在A处按某方向释放机器人乙,设机器人乙在Q处成功拦截机器人甲.若点Q在矩形区域ABCD内(包含边界),则挑战成功,否则挑战失败.已知AB=18米,E为AB中点,机器人乙的速度是机器人甲的速度的2倍,比赛中两机器人均按匀速直线运动方式行进,记与的夹角为θ.(1)若θ=60°,AD足够长,则如何设置机器人乙的释放角度才能挑战成功?(结果精确到0.1°)(2)如何设计矩形区域ABCD的宽AD的长度,才能确保无论θ的值为多少,总可以通过设置机器人乙的释放角度使机器人乙在矩形区域ABCD内成功拦截机器人甲?20.设椭圆M:的左顶点为A、中心为O,若椭圆M过点,且AP⊥PO.(1)求椭圆M的方程;(2)若△APQ的顶点Q也在椭圆M上,试求△APQ面积的最大值;(3)过点A作两条斜率分别为k1,k2的直线交椭圆M于D,E两点,且k1k2=1,求证:直线DE恒过一个定点.21.已知集合A={x|x2﹣x﹣2≤0,x∈Z},集合B={x|lg(x2+x+8)=1},集合C={x|x=ab,a∈A,b∈B}.(1)用列举法表示集合C;(2)设集合C的含n个元素所有子集为C n,记有限集合M的所有元素和为S(M),求S(C1)+S(C2)+…+S(C n)的值.(3)已知集合P,Q是集合C的两个不同子集,若P不是Q的子集,且Q不是P的子集,求所有不同的有序集合对(P,Q)的个数n(P,Q).2017-2018学年上海市建平中学高三(上)9月月考数学试卷参考答案与试题解析一、填空题1.(3分)在(x+a)5的二项式展开式中,x2的系数与x3的系数相同,则非零实数a的值为1.【分析】利用(x+a)5二项式展开式的通项公式写出展开式中含x2的系数和x3的系数,列方程求出a的值.=•x5﹣r•a r,【解答】解:(x+a)5的二项式展开式中,通项公式为T r+1∴含x2的系数为•a3,x3的系数为•a2,由题意知•a3=•a2,即10a3=10a2,解得a=1或a=0;∴非零实数a的值为1.故答案为:1.2.(3分)袋中共有15个除颜色外完全相同的球,其中10个白球5个红球,从袋中任取2个球,所取的2个球中恰有1个白球,1个红球的概率为.【分析】从袋中任取2个球,基本事件总数n=,所取的2个球中恰有1个白球,1个红球包含的基本事件个数m=,由此能求出所取的2个球中恰有1个白球,1个红球的概率.【解答】解:袋中共有15个除颜色外完全相同的球,其中10个白球5个红球,从袋中任取2个球,基本事件总数n==105,所取的2个球中恰有1个白球,1个红球包含的基本事件个数m=,∴所取的2个球中恰有1个白球,1个红球的概率为p==.故答案为:.3.(3分)设双曲线C的焦点在x轴上,渐近线方程为y=x,则其离心率为;若点(4,2)在C上,则双曲线C的方程为.【分析】根据双曲线渐近线和a,b的关系建立方程进行求解即可求出离心率的大小,利用待定系数法求λ,即可得到结论.【解答】解:∵双曲线C的焦点在x轴上,渐近线方程为y=x,∴=,即==e2﹣1=,则e2=,则e=,设双曲线方程为﹣y2=λ,λ>0,∵若点(4,2)在C上,∴λ==8﹣4=4,即双曲线方程为﹣y2=4,即,故答案为:4.(3分)已知集合{x|(x﹣1)(x2﹣x+a)=0,x∈R}中的所有元素之和为1,则实数a的取值集合为{0}∪(,+∞).【分析】利用分类讨论的思想①当a=0时,集合只有0和1两个元素,故满足所有的元素和为1.②当f(x)=x2﹣x+a没有零点,即)x2﹣x+a=0没有实根,故△<0,进一步求出结果.【解答】解:集合{x|(x﹣1)(x2﹣x+a)=0,x∈R}中的所有元素之和为1,则:①当a=0时,集合只有0和1两个元素,故满足所有的元素和为1.②当f(x)=x2﹣x+a没有零点,即)x2﹣x+a=0没有实根.故△<0,即1﹣4a<0解得:a.综合①②得:,故答案为:{0}∪(,+∞)5.(3分)已知x∈C,且x5﹣1=0,则=4,或﹣1.【分析】由x5﹣1=(x﹣1)(x4+x3+x2+x+1)=0,得x=1,或x4+x3+x2+x+1=0,进而得到答案.【解答】解:∵x∈C,且x5﹣1=(x﹣1)(x4+x3+x2+x+1)=0,故x=1,或x4+x3+x2+x+1=0,当x=1时,=4,当x4+x3+x2+x+1=0时,==﹣1,故=4,或﹣1故答案为:4,或﹣1.6.(3分)设,则=1+.【分析】由已知求出|z n|,再由无穷递缩等比数列所有项和的求解方法求解.【解答】解:∵,∴=,则==.故答案为:1+.7.(3分)若复数z满足,则复数|z﹣1﹣i|的最大值为.【分析】设出z=a+bi(a,b∈R),则由,得z在复平面内对应点的轨迹,再由|z﹣1﹣i|的几何意义求解.【解答】解:设z=a+bi(a,b∈R),则由,得a2+b2+2a≤0,即(a+1)2+b2≤1.复数z在复平面内对应点的轨迹如图:∴复数|z﹣1﹣i|的最大值为|PC|+1=.故答案为:.8.(3分)在平面上,过点P作直线l的垂线所得的垂足称为点P的直线上的投影,由区域中的点在直线x+y﹣2=0上的投影构成的线段记为AB,则|AB|=3.【分析】作出不等式组对应的平面区域,利用投影的定义,利用数形结合进行求解即可.【解答】解:作出不等式组对应的平面区域如图:(阴影部分),区域内的点在直线x+y﹣2=0上的投影构成线段R′Q′,即SAB,而R′Q′=RQ,由得Q(﹣1,1)由即R(2,﹣2),则|AB|=|QR|==3,故答案为:3.9.(3分)已知△ABC,若存在△A1B1C1,满足,则称△A1B1C1是△ABC的一个“友好”三角形.在满足下述条件的三角形中,存在“友好”三角形的是②:(请写出符合要求的条件的序号)①A=90°,B=60°,C=30°;②A=75°,B=60°,C=45°;③A=75°,B=75°,C=30°.【分析】满足,则有A1=±A,B1=±B,C1=±C逐一验证选项即可.【解答】解:满足,则有A1=±A,B1=±B,C1=±C.对于①,cosA=cos90°=0,显然不成立.对于②,可取满足题意.对于③,经验证不满足.故答案为:②.10.(3分)集合,若B⊆A,则实数a的取值范围是{a|1<a} .【分析】根据B⊆A,建立条件关系即可求实数a的取值范围.【解答】解:集合,化简集合A={x|x2﹣5x+4≤0}=[1,4].∵B⊆A,当B=∅时,则4(a﹣2)2﹣4a<0,可得:1<a<4.当B≠∅时,f(x)=x2﹣2(a﹣2)x+a≤0有解.则4(a﹣2)2﹣4a≥0,f(1)≥0,f(4)≥0,,可得:3<a综上可得:实数a的取值范围是{a|1<a}.故答案为:{a|1<a≤}.11.(3分)在△ABC中,D、E分别是AB,AC的中点,M是直线DE上的动点,若△ABC的面积为1,则•+2的最小值为.=2S△MBC,则S△MBC=,根据三角形的面积【分析】由三角形的面积公式,S△ABC公式及向量的数量积,利用余弦定理,即可求得则•+2,利用导数求得函数的单调性,即可求得则•+2的最小值;方法二:利用辅助角公式及正弦函数的性质,即可求得•+2的最小值.【解答】解:∵D、E是AB、AC的中点,∴A到BC的距离=点A到BC的距离的一半,=2S△MBC,而△ABC的面积1,则△MBC的面积S△MBC=,∴S△ABCS△MBC=丨MB丨×丨MC丨sin∠BMC=,∴丨MB丨×丨MC丨=.∴•=丨MB丨×丨MC丨cos∠BMC=.由余弦定理,丨BC丨2=丨BM丨2+丨CM丨2﹣2丨BM丨×丨CM丨cos∠BMC,显然,BM、CM都是正数,∴丨BM丨2+丨CM丨2≥2丨BM丨×丨CM丨,∴丨BC丨2=丨BM丨2+丨CM丨2﹣2丨BM丨×丨CM丨cos∠BMC=2×﹣2×..∴•+2≥+2×﹣2×=,方法一:令y=,则y′=,令y′=0,则cos∠BMC=,此时函数在(0,)上单调减,在(,1)上单调增,∴cos∠BMC=时,取得最小值为,•+2的最小值是,方法二:令y=,则ysin∠BMC+cos∠BMC=2,则sin(∠BMC+α)=2,tanα=,则sin(∠BMC+α)=≤1,解得:y≥,•+2的最小值是,故答案为:.12.(3分)已知函数f(x)=(a>0且α≠1)在R上单调递减,且关于x的方程|f(x)|=2﹣x恰有两个不相等的实数解,则a的取值范围是[,]∪{} .【分析】利用函数是减函数,根据对数的图象和性质判断出a的大致范围,再根据f(x)为减函数,得到不等式组,利用函数的图象,方程的解的个数,推出a的范围.【解答】解:函数f(x)=(a>0且α≠1)在R上单调递减,则:;解得,≤a≤.由图象可知,在[0,+∞)上,|f(x)|=2﹣x有且仅有一个解,故在(﹣∞,0)上,|f(x)|=2﹣x同样有且仅有一个解,当3a>2即a>时,联立|x2+(4a﹣3)x+3a|=2﹣x,则△=(4a﹣2)2﹣4(3a﹣2)=0,解得a=或1(舍去),当1≤3a≤2时,由图象可知,符合条件,综上:a的取值范围为[,]∪{},故答案为:[,]∪{}.二、选择题13.(3分)若a、b为实数,则ab(a﹣b)<0成立的一个充要条件是()A.B.C.D.【分析】先判断p⇒q与q⇒p的真假,再根据充要条件的定义给出结论;也可判断命题p与命题q所表示的范围,再根据“谁大谁必要,谁小谁充分”的原则,判断命题p与命题q的关系.【解答】解:ab(a﹣b)<0⇔a2b﹣ab2<0⇔a2b<ab2⇔⇔<故选:D.14.(3分)l1、l2是空间两条直线,α是平面,以下结论正确的是()A.如果l1∥α,l2∥α,则一定有l1∥l2B.如果l1⊥l2,l2⊥α,则一定有l1⊥αC.如果l1⊥l2,l2⊥α,则一定有l1∥αD.如果l1⊥α,l2∥α,则一定有l1⊥l2【分析】由空间中直线与直线、直线与平面、平面与平面的关系逐一核对四个选项得答案.【解答】解:若l1∥α,l2∥α,则有l1∥l2或l1与l2相交或l1与l2异面,故A错误;如果l1⊥l2,l2⊥α,则有l1∥α或l1⊂α,故B、C错误;如果l1⊥α,则l1垂直α内的所有直线,又l2∥α,则过l2与α相交的平面交α于a,则l2∥a,∴l1⊥l2,故D正确.故选:D.15.(3分)已知数列{a n}共有5项,满足a1>a2>a3>a4>a5≥0,且对任意i,j(1≤i≤j≤5),有a i﹣a j仍是该数列的某一项,则下列命题中,假命题的序号是()A.数列{a n}中一定存在一项为0B.存在1≤i<j≤5,使得ia i=ja jC.数列{a n}一定是等差数列D.集合A={x|x=a i+a j,1≤i<j≤5}中元素个数为15.【分析】根据题意:对任意i,j(1≤i≤j≤5),有a i﹣a j仍是该数列的某一项,因此0∈{a n},由于a4﹣a5=a4∈{a n},(a4>0),可得a3﹣a4=a4,即a3=2a4,以此类推可得:a2=3a4,a1=4a4.分析选项即可判断出结论.【解答】解:根据题意:对任意i,j(1≤i≤j≤5),有a i﹣a j仍是该数列的某一项,∴a i﹣a i=0,∴当a5=0时,则a4﹣a5=a4∈{a n},(a4>0).必有a3﹣a4=a4,即a3=2a4,而a2﹣a3=a3或a4,若a2﹣a3=a3,则a2﹣a4=3a4,而3a4≠a3,a4,a5,舍去;若a2﹣a3=a4∈{a n},此时a2=3a4,同理可得a1=4a4.可得数列{a n}为:4a4,3a4,2a4,a4,0(a4>0);据此分析选项:易得A、B、C正确;对于D、集合A={x|x=a i+a j,1≤i≤j≤5}={8a4,7a4,6a4,5a4,4a4,3a4,2a4,a4,0(a4>0)}中共有9个元素,D错误;故选:D.16.(3分)已知函数f(x)=,有下列四个结论:①对任意x∈D,f(x)+f(﹣x)=0恒成立;②存在m∈(0,1),使得方程|f(x)|=m有两个不等实根;③对任意x1,x2∈D,若x1≠x2,则一定有f(x1)=f(x2);④对任意k∈(1,+∞),函数g(x)=f(x)﹣kx有三个零点.上述结论正确的个数为()A.1B.2C.3D.4【分析】通过函数的基本性质﹣﹣奇偶性和单调性,对选项进行逐一验证即可【解答】解:∵函数f(x)=(x∈R)是奇函数,∴任意x∈R,等式f(﹣x)+f(x)=0恒成立,故①正确;令m=,|f(x)|=,可解得,x=1或x=﹣1,故②正确;当x≥0时,f(x)=,f'(x)=>0,故原函数在[0,+∞)单调递增当x<0时,f(x)=,f'(x)=>0,故原函数在(﹣∞,0)单调递增,故函数在R上单调递增,对任意x1,x2∈D,若x1≠x2,则一定有f(x1)≠f(x2);故③错误;由③中分析可得:f'(x)∈(0,1],故对任意k∈(1,+∞),函数y=f(x)的图象与y=kx只有原点一个交点,即函数g(x)=f(x)﹣kx有一个零点,故④错误.故选:B.三、解答题17.如图,在长方体ABCD﹣A1B1C1D1中,AB=8,BC=5,AA1=4,平面α截长方体得到一个矩形EFGH,且A1E=D1F=2,AH=DG=5.(1)求截面EFGH把该长方体分成的两部分体积之比;(2)求直线AF与平面α所成角的正弦值.【分析】(1)由题意,平面α把长方体分成两个高为5的直四棱柱,转化求解体积推出结果即可.(2)解法一:作AM⊥EH,垂足为M,证明HG⊥AM,推出AM⊥平面EFGH.通过计算求出AM=4.AF,设直线AF与平面α所成角为θ,求解即可.解法二:以DA、DC、DD1所在直线分别为x轴、y轴、z轴建立空间直角坐标系,求出平面α一个法向量,利用直线AF与平面α所成角为θ,通过空间向量的数量积求解即可.【解答】(本题满分(14分),第1小题满分(6分),第2小题满分8分)解:(1)由题意,平面α把长方体分成两个高为5的直四棱柱,,…(2分),…(4分)所以,.…(6分)(2)解法一:作AM⊥EH,垂足为M,由题意,HG⊥平面ABB1A1,故HG⊥AM,所以AM⊥平面EFGH.…(2分)=10,)因为,,所以S△AEH因为EH=5,所以AM=4.…(4分)又,…(6分)设直线AF与平面α所成角为θ,则.…(7分)所以,直线AF与平面α所成角的正弦值为.…(8分)解法二:以DA、DC、DD1所在直线分别为x轴、y轴、z轴建立空间直角坐标系,则A(5,0,0),H(5,5,0),E(5,2,4),F(0,2,4),…(2分)故,,…(3分)设平面α一个法向量为,则即所以可取.…(5分)设直线AF与平面α所成角为θ,则.…(7分)所以,直线AF与平面α所成角的正弦值为.…(8分)18.已知数列{a n}是首项等于的等比数列,公比q∈N*,S n是它的前n项和,满足S4=5S2.(1)求数列{a n}的通项公式;(2)设b n=log a a n(a>0且a≠1),求数列{b n}的前n项和T n的最值.【分析】(1)公比q∈N*,q≠1,由S4=5S2.可得=,解得q.(2)b n=log a a n=(n﹣5)log a2,利用等差数列的求和公式可得数列{b n}的前n项和T n=log a2,对a分类讨论,利用二次函数与对数函数的单调性即可得出.【解答】解:(1)公比q∈N*,q≠1,∵S4=5S2.∴=,解得q=2.∴a n==2n﹣5.(2)b n=log a a n=(n﹣5)log a2,∴数列{b n}的前n项和T n=log a2=log a2,a>1时,(T n)min=T4=T5=﹣10log a2.0<a<1时,(T n)max=T4=T5=﹣10log a2.19.某校兴趣小组在如图所示的矩形区域ABCD内举行机器人拦截挑战赛,在E处按方向释放机器人甲,同时在A处按某方向释放机器人乙,设机器人乙在Q处成功拦截机器人甲.若点Q在矩形区域ABCD内(包含边界),则挑战成功,否则挑战失败.已知AB=18米,E为AB中点,机器人乙的速度是机器人甲的速度的2倍,比赛中两机器人均按匀速直线运动方式行进,记与的夹角为θ.(1)若θ=60°,AD足够长,则如何设置机器人乙的释放角度才能挑战成功?(结果精确到0.1°)(2)如何设计矩形区域ABCD的宽AD的长度,才能确保无论θ的值为多少,总可以通过设置机器人乙的释放角度使机器人乙在矩形区域ABCD内成功拦截机器人甲?【分析】(1)利用正弦定理,即可求解;(2)以AB所在直线为x轴,AB中垂线为y轴,建平面直角坐标系,求出Q的轨迹方程,即可得出结论.【解答】解:(1)△AEQ中,AQ=2EQ,∠AEQ=120°…(2分)由正弦定理,得:所以…(4分)所以所以应在矩形区域ABCD内,按照与夹角为25.7°的向量方向释放机器人乙,才能挑战成功…(6分)(2)以AB所在直线为x轴,AB中垂线为y轴,建平面直角坐标系,设Q(x,y)(y≥0)…(8分)由题意,知AQ=2EQ,所以所以(x﹣3)2+y2=36(y≥0)…(11分)即点Q的轨迹是以(3,0)为圆心,6为半径的上半圆在矩形区域ABCD内的部分所以当AD≥6米时,能确保无论θ的值为多少,总可以通过设置机器人乙的释放角度使机器人乙在矩形区域ABCD内成功拦截机器人甲…(14分)20.设椭圆M:的左顶点为A、中心为O,若椭圆M过点,且AP⊥PO.(1)求椭圆M的方程;(2)若△APQ的顶点Q也在椭圆M上,试求△APQ面积的最大值;(3)过点A作两条斜率分别为k1,k2的直线交椭圆M于D,E两点,且k1k2=1,求证:直线DE恒过一个定点.【分析】(1)利用AP⊥OP,可知k AP•k OP=﹣1,A点坐标为(﹣a,0),得a,求出b,然后求解椭圆方程.(2)求出AP的方程x﹣y+1=0,通过Q是椭圆M上的点,故可设,然后利用三角形的面积求解最大值即可.(3)直线AD方程为y=k1(x+1),代入x2+3y2=1,求出D、E坐标,得到直线DE的方程,利用直线系得到定点坐标.(法二)若DE垂直于y轴,则x E=﹣x D,y E=y D,此时与题设矛盾.若DE不垂直于y轴,可设DE的方程为x=ty+s,将其代入x2+3y2=1,利用韦达定理结合斜率关系推出DE的方程为x=ty﹣2,推出直线DE过定点(﹣2,0).【解答】解:(1)由AP⊥OP,可知k AP•k OP=﹣1,又A点坐标为(﹣a,0),故,可得a=1,…(2分)因为椭圆M过P点,故,可得,所以椭圆M的方程为.…(4分)(2)AP的方程为,即x﹣y+1=0,由于Q是椭圆M上的点,故可设,…(6分)所以…(8分)=当,即时,S取最大值.△APQ的最大值为.…(10分)故S△APQ(3)直线AD方程为y=k1(x+1),代入x2+3y2=1,可得,,又x A=﹣1,故,,…(12分)同理可得,,又k1k2=1且k1≠k2,可得且k1≠±1,所以,,,直线DE的方程为,…(14分)令y=0,可得.故直线DE过定点(﹣2,0).…(16分)(法二)若DE垂直于y轴,则x E=﹣x D,y E=y D,此时与题设矛盾.若DE不垂直于y轴,可设DE的方程为x=ty+s,将其代入x2+3y2=1,可得(t2+3)y2+2tsy+s2﹣1=0,可得,…(12分)又,可得,…(14分)故,可得s=﹣2或﹣1,又DE不过A点,即s≠﹣1,故s=﹣2.所以DE的方程为x=ty﹣2,故直线DE过定点(﹣2,0).…(16分)21.已知集合A={x|x2﹣x﹣2≤0,x∈Z},集合B={x|lg(x2+x+8)=1},集合C={x|x=ab,a∈A,b∈B}.(1)用列举法表示集合C;(2)设集合C的含n个元素所有子集为C n,记有限集合M的所有元素和为S(M),求S(C1)+S(C2)+…+S(C n)的值.(3)已知集合P,Q是集合C的两个不同子集,若P不是Q的子集,且Q不是P的子集,求所有不同的有序集合对(P,Q)的个数n(P,Q).【分析】(1)先求出集合A,B,进而可得集合C={x|x=ab,a∈A,b∈B}(2)C的每一元素a在“总和”S(M)中均出现25次,进而可得答案;(3)集合C有26个子集,不同的有序集合对(P,Q)有26(26﹣1)个.去除满足P⊊Q和Q⊊P的元素个数,可得答案.【解答】解:(1)∵集合A={x|x2﹣x﹣2≤0,x∈Z}={﹣1,0,1,2},集合B={x|lg(x2+x+8)=1}={﹣2,1},集合C={x|x=ab,a∈A,b∈B}={﹣4,﹣2,﹣1,0,1,2}.(2)n∈N*时,对C的任一元素a,因为C共有6个元素,故含有元素a的子集为25个,故C的每一元素a在“总和”S(M)中均出现25次,故S(C1)+S(C2)+…+S(C n)=(﹣4﹣2﹣1+0+1+2)•25=﹣128;(3)集合C有26个子集,不同的有序集合对(P,Q)有26(26﹣1)个.若P⊊Q,并设Q中含有k(1≤k≤n,k∈N•)个元素,则满足P⊊Q的有序集合对(P,Q)有=36﹣26个.同理,满足Q⊊P的有序集合对(P,Q)有36﹣26个.故满足条件的有序集合对(P,Q)的个数为n(P,Q)=26(26﹣1)﹣2(36﹣26)=2702.。
上海市建平中学2017-2018学年高一上学期期末数学试题 Word版缺答案
建平中学2017学年第一学期高一年级数学期末考试试卷2018.1一、填空题(每题3分,共36分)1、已知全集R U =,集合}|{x y x A π==,则A C U =______2、函数x x x f 1)(-=在)0,(-∞内的零点为x =_____ 3、关于x 的方程x x 32=的解集为________4、函数a x x f +=1)(为奇函数,则实数a 的值为______5、集合}|{a x x A <=,}1|{<=x x B ,若B A ⊆,则实数a 的取值范围为_______6、比较两数大小:100002_____5031e (在横线处填“>”或“=”或“<”)7、函数)(x f y =的定义域为)1,0(,则函数)2(x f y =的定义域为______8、幂函数2-=x y 的单调递减区间为_______9、已知函数)(x f y =过定点)2,0(,则函数)2(-=x f y 过定点______10、不等式0||≥-a x 对任意]2,1[-∈x 恒成立,则实数a 的最大值为______11、若函数a x x e x f x ---=--12)(|2|在)5,(-∞内有两个零点,则实数a 的取值范围为_________12、方程0120202019)2018(=⎪⎭⎫ ⎝⎛--++x x f x f 恰有四个互异的实根,记为4321,,,x x x x ,则2018)1)(1)(1)(1(4221+----x x x x 的值为______二、选择题(每题3分,共12分)13、在下列四个说法中,与“不经冬寒,不知春暖”意义相同的是()A、若经冬寒,必知春暖B、不经冬寒,但知春暖C、若知春暖,必经冬寒D、不知春暖,但历冬寒14、已知实数yx,满足yx>,下列不等式中一定成立的是()A、33yx>B、22yx>C、00yx=D、11-->yx15、函数)(xfy=的定义域为),2[+∞-,函数)(xgy=为奇函数,则函数)()()(xgxfxF=的定义域可能为()A、),0()0,2[+∞- B、)0,1()1,2[--- C、),1()1,2[+∞-- D、]1,0(]1,2[--16、在股票等金融交易过程中,常用两种曲线来描述价格变化的情况:一种是即时价格曲线)(xfy=,另一种是平均价格曲线)(xgy=,如3)2(=f表示交易开始后2小时的即时价格为2元;3)2(=g则表示交易2小时内的平均价格为3元,下面给出了四个图像,实线表示)(xfy=,虚线表示)(xgy=,其中可能正确的是()。
2017-2018学年上海市浦东新区建平中学高三三模试卷
建平中学2018届高三5月月考高三英语试题命题人:高三英语备课组审题人:高三英语备课组说明:(1)本场考试时间120分钟,总分140分;(2)请认真答卷,并用规范字书写。
I. Listening ComprehensionSection ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. To plan for a party. B. To celebrate his birthday.C. To give her friend a surprise.D. To avoid missing her favorite film.2. A. He will be 85 by the end of next year. B. He can get the degree before his birthday.C. He doesn't work hard enough on his study.D. He hopes he can finish his essay as planned.3. A. Pointless. B. Necessary. C. Unimaginable. D. Inspiring.4. A. The woman has just bought a new car.B. The man hopes to see the woman’s car.C. The woman used to have a car accident.D. The man doesn’t believe the woman’s words.5. A. They can get promoted sooner. B. They can make more money.C. They can win more support.D. They can find better jobs.6. A. He will play badminton tomorrow. B. Someone else has borrowed his bat.C. His bat is not in good condition.D. The woman should buy a new bat.7. A. Exchange the shirt for a new one. B. Bargain with the shirt seller.C. Get his money back.D. Wash the shirt again.8. A. A teacher. B. A coach. C. A boss. D. A doctor.9. A. He didn't know he was supposed to call the woman.B. He spoke to the woman on the phone last night.C. He tried to call the woman but failed.D. He was too busy to call the woman.10. A. She’d like a sandwich. B. She’s annoyed by the man.C. She has already got some food.D. She doesn’t want anything to eat now.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passage. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers in your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11. A. Praise. B. Talent. C. Effort. D. Confidence.12. A. They didn’t want to work hard.B. They mistook it for a hard one.C. They used to perform well in such a task.D. They hoped to keep their image of smart kids.13. A. A proper way of praising kids.B. A study about kids’ natural ability.C. A test that can raise kids’ self-confidence.D. A concept involving practice and performance.Questions 14 through 16 are based on the following passage.14. A. They can’t develop in a natural way. B. They may miss humans’ company.C. They don't feel needed.D. They may be neglected.15. A. They send them back to nature. B. They care about their health.C. They give them love.D. They desert them.16. A. Why animals should live in the wild.B. It is improper to keep wild animals as pets.C. Laws should be made to protect wild animals.D. How wild animals can live happily with humans.Questions 17 through 20 are based on the following conversation.17. A. She isn't interested in sci-fi movies. B. She needs to go home early.C. She has much work to do.D. She has seen it before.18. A. Celebrate Tina’s mum’s birthday. B. Eat in a Mexican restaurant.C. Talk a walk in the rain.D. Do nothing together.19. A. Going to a concert. B. Joining Ben’s band.C. Trying Indian food.D. Making a new plan.20. A. Indecisive. B. Inspiring. C. Grateful. D. Bossy.II. Grammar and Vocabulary(20分)Section ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Barditch High School decided to hold an All-School Reunion.Over 450 people came to the event. There were tours of the old school building and a picnic at Confederate Park. Several former teachers were on hands to tell stories about the old days. Ms. Mabel Yates, the English teacher for fifty years, 1 (wheel) to the Park.Some eyes rolled and there were a few low groans(嘟囔声) when Ms.Yates was about to speak.Many started looking at their watches and coming up with excuses to be anywhere instead of preparing to listen to a lecture from an old woman who had few kind words for her students and made them work harder than all the other teachers 2 (combine).Then Ms. Yates started to speak:“I can’t tell you how pleased I am to be here.I haven’t seen many of you since your graduation,but I 3 (follow) your careers and enjoyed your victories as well as cried for your tragedies.I have a large collection of newspaper photographs of my students. 4 I haven’t appeared in person, I have attended your college graduations, weddings and even the birth of your children, in my imagination.”Ms. Yates then stopped 5 (cry) a bit before she continued:“It was my belief ___6____ if I pushed you as hard as I could, some of you would succeed to please me and 7 would succeed to annoy me.Regardless of our motives, I ___8___ see that you have all been successful in your chosen path.”“There is no 9 (great) comfort for an educator than to see the result of his or her years of work.You have all been a great source of pleasure and pride for me and I want you to know I love you all from the bottom of my heart.”There was a silence over the crowd for a few seconds and then someone started clapping. The clapping turned into cheering, then into a deafening roar. Lawyers, truck drivers, bankers and models were rubbing their eyes or crying openly with no shame all 10 the words from a long forgotten English teacher from their hometown.【答案】1. was wheeled2. combined3. have followed4. Though5. to cry6. that7. others8. can9. greater10. because ofSection BDirections: Fill in each blank with a proper word chosen from the box. Each word can only be usedDesigning an exhibition is a vast understanding. It is a complex and demanding activity of making ___1____ accessible through means of interpretation and translation. It requires the conscious arrangement of many parts, both ___2____ and moving, necessary in creating meaningful experiences for visitors in physical spaces. The exhibition begins with a story to tell, a lesson to teach or a collection of artifacts or artworks to ____3____. In other words, an exhibition is intended to inform, to educate or to entertain. Some exhibitions are meant to encourage thinking.Exhibition design involves the process of finding appropriate form and expression for any content. However, the process of bringing any project to reality requires the work of many _____4____ from diverse backgrounds and areas of expertise. This process typically requires a good ____5_____ of competing interests, ideas and opinions held by participants. These includecurators(馆长), educators, architects, content developers, graphic(图画的)designers and exhibition designers.All exhibitions, regardless of topic, share the inherent dialectics(内在联系)between the _____6_____ of the presenter and the experiences of the viewers. Who is displaying what and for whom? Exhibitions provide the bones for learning, exploring and interacting. They take visitors on journey and near and far---making the inaccessible accessible, and the commonplace _____7_____.The basic building blocks of an exhibition are five ----artifacts, words, physical design, graphic design and lightning. Many exhibitions, of course, have additional, often very significant component---audio, video, mechanical and computer interaction, live actors etc. Of course, graphic design---often primarily typography(文字印刷)---is the carrier and transmitter. Through typography the words have a ____8_____ presence and through the words the concept of the exhibition and the interpretation of the artifacts are expressed most ____9_____.Visitors come to an exhibition, often like foreigners in a new land, not knowing what to _____10_____. Words, conveyed through typography, are their tools and maps for understanding. The typography and the texts must be attracting at the beginning and throughout the exhibition.【答案】1. C2. J3. I4. G5. F6. K7. B8. A9. D 10. EIII. Reading Comprehension(45分)Section ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word of phrase that best fits the context.A pirate’s life no moreHONEST souls intent on paying for the music they listened to used to have a hard time in China. In the era of compact discs, ___1___ was the shop which did not sell pirated(盗版的)ones. The same held true when discs turned into downloads and online streams of songs: hardly any ____2____ charged money.Yet this is changing. Slowly, but ___3___, China is becominga market where people pay for music. Over the past five years,digital-music revenues for the recording industry nearlyquadrupled, to $195m; most of that amount comes from musicstreaming (see chart). That sum may still be a tiny fraction of theglobal total of $7.8bn, but streaming has clearly taken off in China.Not everybody is paying: of the 600m Chinese who listen tomusic online only 20m have a paid subscription, which costsbetween 8 and 12 yuan a month. The rest ___4___ for nothing, but many do so on legal, advertising-supported services. “Piracy is ___5___.” says Ed Peto of Outdustry, a firm in Beijing offering services to the music industry.If Chinese consumers have developed a liking for ___6___ listening, it is for a combination of reasons. Smartphones, which have become popular in recent years, make it easy to ___7___to streaming services. Widespread use of apps such as Alipay and WeChat Pay mean that younger Chinese, in particular, are now used to making small purchases ___8___. And, to take advantage of the commercial opportunities in music, China’s big internet platforms have begun to fight piracy.Not all is ___9___, however. The streaming market is ___10___ by one player: Tencent, the largest of China’s online giants, which is best known for its WeChat messaging service. According to some estimates, its market share exceeds 70%. Each of the company’s two leading streaming brands, QQ Music and KuGou, ___11___ hundreds of millions of users.One cause for this market concentration is acquisitions: last year Tencent bought two big competitors. More important, ___12___, it has paid three major international record labels—Warner Music Group, Sony Music and Universal Music Group—a big, but unknown, sum for the ___13___ right to stream their music in China. This means that Tencent gets to decide which songs rivals are ___14___ to play.Tencent executives say that they need such exclusivity to ensure the legitimacy of streaming services and to reduce piracy further. But having one firm have so much power “is never healthy”, says an executive at a rival firm. With the market growing quickly, the labels may ___15___ their deals with Tencent when they come up for renewal.1. A. admired B. criticized C. common D. rare2. A. service B. form C. composition D. trial3. A. ultimately B. unexpectedly C. surely D. agreeably4. A. make up B. go on C. start up D. tune in5. A. collapsing B. coming C. pressing D. staying6. A. popular B. better C. legal D. personal7. A. respond B. subscribe C. apply D. adapt8. A. casually B. privately C. instantly D. digitally9. A. effective B. simple C. rosy D. noble10. A. purchased B. dominated C. expanded D. established11. A. claims B. occupies C. targets D. seeks12. A. therefore B. however C. meanwhile D. moreover13. A. reserved B. compulsory C. exclusive D. complete14. A. allowed B. meant C. recommended D. likely15. A. compare B. resist C. make D. reconsider【答案】1. D2. A3. C4. D5. A6. C7. B8. D9. C 10. B 11. A 12. B 13. C 14. A 15.DSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)The concept of peace is a very important one in cultures all over the world. Think about how we greet people. In some languages, the phrases for greetings contain the word for peace. In some cultures we greet people by shaking hands or with another gesture to show that we are not carrying weapons – that we come in peace. And there are certain symbols which people in very different cultures recognize as representing peace. Let’s look at a few of them.The doveThe dove has been a symbol of peace and innocence for thousands ofyears in many different cultures. In ancient Greek mythology it was a symbolof love and the renewal of life. In ancient Japan a dove carrying a swordsymbolized the end of war. There was a tradition in Europe that if a dove flewaround a house where someone was dying then their soul would be at peace.And there are legends which say that the devil can turn himself into any birdexcept for a dove. In Christian art, the dove was used to symbolize the Holy Ghost and was often painted above Christ's head. But it was Pablo Picasso who made the dove a modern symbol of peace when he used it on a poster for the World Peace Congress in 1949.The rainbowThe rainbow is another ancient and universal symbol,often representing the connection between human beings andtheir gods. In Greek mythology it was associated with Iris, thegoddess who brought messages from the gods on MountOlympus. In Scandinavian mythology the rainbow was a bridgebetween the gods and the earth. In the Bible a rainbow showed Noah that the Biblical flood was finally over, and that God had forgiven his people. In the Chinese tradition, the rainbow is a common symbol for marriage because the colours represent the union of yin and yang. Nowadays the rainbow is used by many popular movements for peace and the environment, representing the possibility of a better world in the future and promising sunshine after the rain.The olive branchThe olive tree has always been a valuable source of food and oil. In Greek mythology, the goddess Athena gave the olive tree to the people ofAthens, who showed their gratitude by naming the city after her. But no oneknows for sure when or why it began to symbolize peace. There is probablya connection with ancient Greece. Wars between states were suspendedduring the Olympic Games, and the winners were given crowns of olive branches. The symbolism may come from the fact that the olive tree takes a long time to produce fruit, so olives could only be cultivated successfully in long periods of peace. Whatever the history, the olive branch is a part of many modern flags symbolizing peace and unity. One well-known example is the United Nations symbol.1. Who played the major role in making the dove a modern symbol of peace?A. Pablo Picasso.B. A god in Greek mythology.C. Jesus Christ.D. Ancient Japanese.2. How many examples does the writer give to show the rainbow as a universal symbol of peace?A. Two.B. Three.C. Four.D. Five.3. Which of the following is the best title for the passage?A. Different Concepts of Peace.B. The popularity of Peace Symbols.C. The Origins of Peace Symbols.D. Cultural Differences in Peace.【答案】1. A 2. D 3. C(B)Massive changes in all of the world’s deeply cherished sporting habits are underway. Whether it’s one of London’s parks full of people playing softball, and Russians taking up rugby, or the Superbowl rivaling the British Football Cup Final as a televised spectator event in Britain, the patterns of players and spectators are changing beyond recognition. We are witnessing a globalization of our sporting culture.That annual bicycle race, the Tour de France, much loved by the French, is a good case in point. Just a few years back it was a strictly continental affair with France, Belgium and Holland, Spain and Italy taking part in. But in recent years it has been dominated by Colombian mountain climbers, and American and Irish riders.The people who really matter welcome the shift toward globalization. Peugeot, Michelin and Panasonic are multi-national corporations that want worldwide returns for the millions they invest in teams. So it does them literally a world of good to see this unofficial world championship become just that.This is undoubtedly an economic-based revolution we are witnessing here, one made possible by communications technology, but made to happen because of marketing considerations. Sell the game and you can sell Coca Cola or Budweiser as well.The skillful way in which American football has been sold to Europe is a good example of how all sports will develop. The aim of course is not really to spread the sport for its own sake, but to increase the number of people interested in the major money-making events. The economics of the Superbowl are already astronomical. With seats at US $125, gate receipts alone were a staggering $10,000,000. The most important statistic of the clay, however, was the $10,000,000 in TV advertising fees. Imagine how much that becomes when the eyes of the world are watching. Economic help to the development of world sportsSo it came as a terrible shock, but not really as a surprise, to learn that some people are now suggesting that soccer change from being a game of two 45-minute halves, to one of four 25-minute quarters. The idea is unashamedly to capture more advertising revenue, without giving any thought for the integrity of a sport which relies for its essence on the flowing nature of the action.Moreover, as sports expand into world markets, and as our choice of sports as consumers also grows, we will demand to see them played at a higher and higher level. In boxing we have already seen numerous, dubious world title categories because people will not pay to see anything less than a "World Title" fight, and this means that the title fights have to be held in different countries around the world!1. Globalization of sporting culture means that ______.A. more people are taking up sportsB. traditional sports are getting popularC. many local sports are becoming internationalD. foreigners are more interested in local sports2. Which of the following is NOT related to the massive changes?A. Good economic returns.B. Revival of traditional gamesC. Communications technology.D. Marketing strategies.3. What is the author’s attitude towards the suggestion to change soccer into one of four 25-minute quarters?A. Favorable.B. Unclear.C. Reserved.D. Critical.4.This massage mainly discusses_________.A. the commercialization of sporting cultureB. the worldwide popularization of sportsC. the economic help to the development of sportsD. the availability of sports watching to more people【答案】1. C 2. B 3. D 4. A(C)One has to look a long time for an American politician of any political stripe who has failed to applaud small businesses. Still, many have little clue as to what makes such businesses succeed or fail.Federal agencies aimed at helping small business, such as the Small Business Administration and the Minority Business Development Agency, have been around for half a century, yet persistent differences remain between the performance of businesses founded by white, male entrepreneurs and the rest. Blacks are less likely to be self-employed, for example, and when they are, their businesses, on average, have lower sales and profits than do their white-or Asian-owned counterparts. If researchers could explain the causes of these differences, policy-makers could (at least in theory) supply small businesses with more useful help.Two researchers for the Census Bureau’s Centre for Economic Studies, Ron Jarmin and C.J. Krizan, recently published a working paper attempting to understand demographic (人口统计学的)differences behind small businesses’ success and failure. They concentrated on the years 2002 to 2005, with three databases at their disposal, hoping to create a more nuanced picture of business survival.Some of their findings were not terribly surprising. A firm’s chances of survival, regardless of the race or sex of its owner, decreased in poorer areas; and the better the education of the founder, the more likely it was to succeed. Businesses owned by Asians, Hispanics, or Pacific Islanders were more likely to be exporters. Older entrepreneurs were more likely to use personal savings to start their businesses while younger owners were more likely to have to close up shops during the study period than were their middle-aged rivals.However, the data also confirmed that black- and female-owned businesses tended to perform worse than the average. They were also less likely to have been funded by bank loans. Still, the businesses that survived, regardless of the owner’s race, tended to add employees at similar rates. Furthermore, after controlling for factors such as the education and race of the owner, there was no statistically significant difference in firms’ abilities to expand into different locations. Finally, black entrepreneurs were more likely to have a history of self-employment than their white counterparts. Messrs Jarmin and Krizan’s paper is not the first to suggest that black entrepreneurs, less likely to have other business owners in their family or personal networks, tend to “start small” when they venture out on their own.Most researchers get to end their papers by speculating, usually without much fear of consequence, as to the policy implications of their work. The authors of this paper, not wishing to imply that the Census Bureau might have policy opinions, declined to do so. But the reader can make some guesses. One is that mentorship programmes may be particularly useful for promoting entrepreneurship among blacks. Another is that reaching out to businesses based on the owner’s race might be less useful than supporting businesses in poorer areas. And small businesses of allstripes would be helped by improving that other institution app lauded by politicians: America’s education system.1. Most politicians in the U.S. _________________.A.have had some experience in running a small businessB.have made great efforts to help small businessesC.have paid little attention to small businessesD.have spoken highly of small businesses2. Which of the following statements is TRUE?A.Federal agencies have failed in giving small businesses much help.B.Older entrepreneurs were more keen on saving money.C.Small businesses run by white males are generally more profitable.D.More federal agencies aimed at helping small businesses will be established.3. One of Ron Jarmin and C.J.Krizan’s surprising findings is that _______________.A.successful businesses showed little difference in the rate of hiring employeesB.locations were essential factors for small businesses’ success or failureC.most black entrepreneurs tended to set up companies by themselvesD.female-owned businesses were the least likely to survive for lack of funds4. It can be inferred from the passage that ____________________.A. the Census Bureau’s Center is sponsored by th e governmentB. mentorship programs have proved unsuccessfulC. education plays a role in running a small business.D. researchers don’t have much say in how a company is run【答案】1. B 2. C 3. AC 4. ABSection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.Most of us would like to have a bright, “white” smile—filled with teeth that would make a Hollywood actor proud. Studies show that up to 52 percent of people are dissatisfied with the color of their teeth. ___1___ Globally, rows of pearl-white teeth shine out from magazines and cinema screens.It is hardly surprising, then, that we tend to think that white teeth are not only attractive but also healthy. However, new studies have revealed that pearly teeth don’t always mean great oralhealth.___2___ It can be based on our genes and ages. As you get older, your teeth often become yellower as the enamel(牙釉质)—the hard white outer layer of teeth—begins to wear away. Eating, drinking, smoking and taking certain medications might also discolor your teeth. These stains don’t actually indicate a problem with dental health. You can have pearl-white teeth and still have cavities (龋齿的洞). Likewise, you can have perfectly healthy teeth that are yellowish or even brownish. ___3___There is even one type of stain that some researchers believe might protect against tooth decay. This is the “black stain” which you sometimes see along teeth at the edges of the gum line(牙龈线). It can look like a series of dark dots. While the cause of the black stain has been in debate for more than a century, some studies have found that children with the stain are less likely to have tooth decay. It’s thought that some microbes in the stain might be somehow protective.So what if you still want pearl-white teeth, regardless of what they say about your health? There is a wide range of products you can use. Some kinds of toothpaste promise a whitening effect. Most of them contain substances that rub stains off your teeth. Others add some blueish substances to your yellowish teeth, resulting in a bright white color. ___4___Of course, unless you continue using the product or receiving the whitening treatment, the whiteness will only last for as long as you avoid the foods and drinks that cause the stains in the first place. But now you know that even without that Hollywood white smile, it doesn’t mean you don’t have healthy teeth.【答案】1. D 2. C 3. A 4. CIV. Summary writingDirections: Read the following passage. Summarize the main idea and main point(s) of the passage in no more than 60 words. Use your own words as far as possible.Zoos are hugely popular attractions for adults and children alike. But are they a good thing?Critics of zoos would argue that animals often suffer physically and mentally as a result of being caged. Even the best artificial environments can’t match the space, diversity and freedom that animals have in their natural habitats. This deprivation causes many zoo animals to become stressed or mentally ill. It is common that marine parks often force dolphins and whales to perform tricks. These mammals may die decades earlier than their wild relatives, and some may try to commit suicide.On the other hand, by bringing people and animals together, zoos have the potential to educate the public about conservation issues and inspire people to protect animals and their habitats. Zoos also carry out important research into subjects like animal behavior and how to treat illness. One of the most important modern functions of zoos is supporting international breeding programs, especially those for endangered species. A good zoo will enable these species to live and breed in a secure environment. Furthermore, as the number of some wild species drops, there is an increasing danger of populations becoming too genetically similar. Zoo-bred animals can be released into the wild to increase genetic diversity.However, opponents of zoos say that the vast majority of breeding programs do not release animals back into the wild. Extra animals are sold not only to other zoos and circuses but also to hunting ranches in the US or South Africa, where some people are willing to pay a lot of money for。
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2017年建平中学高三11月14日周考卷II.Grammar and vocabulary(20)Section A(10)Directions :After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.At least 10 terrorists were killed and nine policeman 21 (wound) on Sunday during a security raid in Giza province near the capital Cairo, the Egyptian Interior Ministry said in a statement.The terrorists were extremist elements 22 (escape) from North Sinai province and hiding in two apartments in Giza’s Ard al-Liwaa district in preparation for carrying out a number of terror operations, said the police statement.“Fire exchange with eight militants in the first apartment led to killing of them and shootout in the 23 apartment killed two,” said the statement , noting that the gunfire was started by the militants and it continued for four hours.“One of them threw an explosive device at the forces but it blew him off,” it added.The police said that the confrontations wounded nine policeman 24 four machine guns and ammunition were seized during the raid.Since March, similar security campaigns killed about 50 militants in the provinces of Cairo, Giza, Alexandria, Beheira, Fayoum, Qalioubiya,Minufiya, Ismailia and others.Egypt has been fighting against a wave of terror activities 25 killed hundreds of policemen and soldiers since the military toppled former Islamist president Mohamed Morsi in July 2013 in response to mass protests 26 his one-year rule and his currently outlawed Muslim Brotherhood group.Terror attacks in Egypt 27 27 focus on police and military men in North. Sinai before spreading nationwide and targeting the Coptic minority as well,with most of them 28(claim) by a Sinai-based group loyal to the regional Islamic State militant group.Another militant group 29 (refer) to itself as Hasm, which appeared late last year and is regarded by the police as an affiliate with the Brotherhood, claimed responsibility for a number of terrorist attacks that killed several policemen in the country.Meanwhile, the Egyptian military and police have killed hundreds of militants and arrested a similar number of suspects as part of the country’s anti-terror war 30 (declare) by President Abdel-Fattah al-Sisi, the army chief then, following Morsi’s removal.Section BA.Directions:Fill in each blank with a proper word chosen from the box. Each word can beTHE TRANSPORTATION AUTHORITIES in Nanjing, East China’s Jiangsu province, are reportedly considering a 31 to cap the number of order for takeout deliverymen, many of whom have been 32 of violating traffic rules on a daily basis. Beijing News commented on Saturday:At least 242 traffic accidents in the city in the first half of this year involved takeout deliverymen, resulting in 33 to about 170, prompting the local transportation authorities to tighten their 34 of such takeout deliveries.So the Nanjing authorities have good reason to intervene, but placing a cap on the number of takeout orders 35 to deliverymen is a questionable move. Deliverymen hired by most platforms are allowed to go for any order up for grabs even when they do not have enough time to finish the delivery.Many reckless riders tend to disregard the traffic rules because failing to deliver an order within a given time - 36 around 20 minutes - can cost them one-third of the money they make. Such a rigid assessment mechanism 37 does not take into account any unavoidable delays.There is no doubt that timely deliveries must not come at the 38 of traffic order or the well-being of deliverymen. Food delivery service platforms need to provide proper training for theirdelivery staff to ensure they ride safely, as well as give them reasonable incentives and penalties. The local traffic enforcers can help food delivery companies to better manage their staff without 39 with their daily operations.In other words, limiting the number of takeout orders may overstep administrative boundaries. There are viable alternatives that are worth emulating, such as a code of conduct for deliverymen, along with a new management system that makes deliverymen 40 for their vehicles, most of which are currently registered under the name of their employers. A credit deduction policy that links the driving records of deliverymen with their pay might be another.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.In any planning system, from the simplest budgeting to the most complex corporate planning, there is an annual process. This is partly due to the fact that firms _ 41__ their accounting on a yearly basis, but also because similar _ 42__ often occur in the market.Usually, the larger the firm, the longer the planning takes. But 43 , planning for next year may start nine months or more in advance, with various stages of evaluation leading to 44 of the complete plan three months before the start of the year.Planning continues, however, throughout the year, since managers 45 progress against targets, while looking forward to the next year. What is happening now will 46 the objectives and plans for the future.In today's business climate, as markets constantly change and become more difficult to 47 , some analysts believe that long-term planning is 48 . In some markets they may be right, as long as companies can build the sort of flexibility into their operations which allows them to 49 to any sudden changes.Most firms, however, need to plan more than one year ahead in order to 50 .their long-term goals. This may reflect the time it takes to commission and build a new production plant, or, in marketing 51 , it may be a question of how long it takes to research and launch a range of new products, and reach a certain 52 in the market. If, for example, it is going to take five years for a particular airline to become the 53 choice amongst business travelers on certain routes, the airline must plan for the various 54 involved.Every one-year plan, therefore, must be 55 in relation to longer-term plans,and it should contain die stages that are necessary to achieve the final goals.41.A make up B carry out C bring about D put down42.A patterns B guides C designs D distributions43.A surprisingly B contrarily C equally D typically44. A approval B permission C admiration D objection45. A value B confirm C review D survey46. A restore B promote C influence D maintain47. A guess B advocate C recognize D predict48. A pointless B meaningful C realistic D inevitable49. A lead B respond C refer D contribute50. A share B handle C develop D benefit51.A expressions B descriptions C words D terms52.A reputation B position C situation D direction53.A reserved B selected C preferred D supposed54.A acts B steps C means D points55.A handed over B left behind C made out D drawn upSection BDirections:Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)Not too many decades ago it seemed “obvious” both to the general public and to sociologists that modern society has changed people’s natural relations, loosened their responsibilities to relatives and neighbors, and substituted in their place loose relationships with passing acquaintances(相识之人). However, in recent years a growing body of research has revealed that the “obvious” is not true. It seems that if you are a city resident, you typically know a smaller proportion of your neighbors than you do if you are a resident of a smaller community. But, for the most part, this fact has few significant consequences. It does not necessarily follow that if you know few of your neighbors you will know no one else.Even in very large cities, people maintain close social ties within small, private social worlds. Indeed, the number and quality of meaningful relationships do not differ between more and less urban people. Small-town residents are more involved with relatives than are big-city residents are. Yet city residents make up for it by developing friendships with people who share similar interests and activities. Urbanism may produce a different style of life, but the quality of life does not differ between town and city. Nor are residents of large communities more likely to display psychological symptoms of stress or alienation, a feeling of not belonging, than are residents of smaller communities are. However, city residents do worry more about crime, and this leads them to a distrust of strangers.These findings do not imply that urbanism makes little or no difference. If neighbors are strangers to one another, they are less likely to sweep the sidewalk of an elderly couple living next door or keep an eye out for young trouble makers. Moreover, as Wirth suggested, there may be a link between a community’s population size and its social heterogeneity(多样性). For instance, sociologists have found much evidence that the size of a community is associated with bad behavior including gambling, drugs, etc. Large-city residents are also more likely than their small-town residents to have a cosmopolitan(见多识广的) outlook, to display less responsibility to traditional family roles, to vote for leftist political candidates, and to be willing to accept nontraditional religious groups, unpopular political groups. Everything considered, heterogeneity and unusual behavior seem to be outcomes of large population size.56. According to the paragraph 1, it was once a common belief that people in modern society __________ .A) tended to acquaint themselves with people passing byB) could not develop very close relationships with othersC) bore great responsibilities to neighbors and relativesD) usually had more friends than small-town residents57. One of the consequences of urbanism is that the city residents __________ .A. suffer from the lack of friendshipB. lower the quality of relationshipsC. show little concern for other peopleD. become suspicious of each other58.We can learn from the passage that the bigger a community is,__________A) the more open-minded people are B. the more similar its interests isC) the more likely it it to display stress D) the better the quality of life is59. What is the passage mainly about?A. Advantages and disadvantages of living in big cities or small townsB. Minor differences in the interpersonal relations between cities and townsC The positive role that urbanism has been playing in our modern society.D The strong feeling of alienation that city residents are suffering.(B)SELF-REFLECTION OF TEACHING PRACTICES READING, WRITING,TALKINGSchool: Date:Grade(s) presently teaching:Please do not sign your name. Mark the responses that most nearly reflect your teaching p ractices. This is one way to reflect your practices and how much you got out of it.Keep one copy and give one to your tutor(s0.HOW OFTEN:0=never 1=rarely 2=sometimes (1-2x/ week)3=moderately(3x/week) 4=often(4x/week) 5=dailyDEVELOPMENT APPROPRIATENESS:I provide opportunities for students to us0 1 2 3 4 5e literacy for their own purposes using previous knowledge, developmentally appropriate strategies and world experiencesEVIRONMENT: I use flexible grouping, e.g. pairs, small groups of different lev0 1 2 3 4 5 els, small needs-based groups, and working alone.KNOWLEDGE CONSTRUCTION: I provide opportunities for students to interpr0 1 2 3 4 5et literary and informational texts before, during and after reading or listening by talking, writing, enacting, drawing, etc.ASSESSMENT OF LEARNING: I assess students’ use of literacy strategies usin0 1 2 3 4 5g this information to measure student progress and refocus my own teaching. DEMONSTRATION OF STRATEGIES: I read aloud to students and write in fr0 1 2 3 4 5ont of them, using literary and informational texts.READING STRATEGIES: I instruct students to read strategically, e.g. to reflect,0 1 2 3 4 5 predict, decode, question, connect, retell, summarize, map, etc.WRITING STRATEGIES: I provide opportunities for students to work through t0 1 2 3 4 5he writing processes alone and with others, e.g. thinking about purposes and audiences, prewriting, drafting, revising, editing and publishing.SELF-SELECTION: I provide time for the self-selection of books for independe0 1 2 3 4 5nt reading in the classroom, and for book sharing.DEVELOPING MEANING: I provide clear targets to students to develop higher0 1 2 3 4 5 levels of learning, e.g. What does it mean? Why do I need to know it? Howwill I use it?EXTENTION OF LEARNING: I provide opportunities and activities for students0 1 2 3 4 5to learn more about topics of their choice through problem-based learning assignments, etc.BUILDING SUCCESS: I structure lessons/activities that provide opportunities for0 1 2 3 4 5all students to experience success.60.According to the passage, who most probably mark the responses in the form?A. Professional tutors.B. Language teachers.C. Personal physician.D. Psychological therapist.61.Mr. Kent bears EXTENTION OF LEARNING idea in mind, he quite often tends to _______.A. always set groups to encourage students to work out something by putting heads togetherB. prepare grade-level materials for teachingC. develop students reading skills during pre- while-and- post-reading stageD. provide students with extra learning materials to further their study62. Mrs. Grace likes to share her version of tasks outcome in class, which could be labeled _____.A. ASSESSMENT OF LEARNINGB. KNOWLEDGE CONSTRUCTIONC. DEVELOPMENT OF STRATEGIESD. SELF-SELECTION(C)“The Heart of the Matter,” the just-released report by the American Academy of Arts andSciences (AAAS), deserves praise for affirming the importance of the humanities and social sciences to the prosperity and security of liberal democracy in America. Regrettably, however, the report's failure to address the true nature of the crisis facing liberal education may cause more harm than good.In 2010, leading congressional Democrats and Republicans sent letters to the AAAS asking that it identify actions that could be taken by "federal, state and local governments, universities, foundations, educators, individual benefactors and others" to "maintain national excellence in humanities and social scientific scholarship and education."In response, the American Academy formed the Commission on the Humanities and Social Sciences. Among the commission's 51 members are top-tier-university presidents, scholars, lawyers, judges, and business executives, as well as prominent figures from diplomacy, filmmaking, music and journalism.The goals identified in the report are generally admirable. Because representative government presupposes an informed citizenry, the report supports full literacy; stresses the study of history and government, particularly American history and American government; and encourages the use of new digital technologies. To encourage innovation and competition, the report calls for increased investment in research, the crafting of coherent curricula that improve students' ability to solve problems and communicate effectively in the 21st century, increased funding for teachers and the encouragement of scholars to bring their learning to bear on the great challenges of the day. The report also advocates greater study of foreign languages, international affairs and the expansion of study abroad programs.Unfortunately, despite 2½ years in the making, "The Heart of the Matter" never gets to the heart of the matter: the illiberal nature of liberal education at our leading colleges and universities. The commission ignores that for several decades America's colleges and universities have produced graduates who don't know the content and character of liberal education and are thus deprived of its benefits. Sadly, the spirit of inquiry once at home on campus has been replaced by the use of the humanities and social sciences as vehicles for publicizing "progressive," or left-liberal propaganda.Today, professors routinely treat the progressive interpretation of history and progressive public policy as the proper subject of study while portraying conservative or classical liberal ideas—such as free markets or self-reliance —as falling outside the boundaries of routine, and sometimes legitimate, intellectual investigation.The AAAS displays great enthusiasm for liberal education. Yet its report may well set back reform by obscuring the depth and breadth of the challenge that Congress asked it to illuminate.63. Influential figures in the Congress required that the AAAS report on how to _____.[A] maintain people’s interest in liberal education [B] define the government’s role in education[C]keep a leading position in liberal education [D] safeguard individual’s rights to education64. Which one of the following statements about what the AAAS plan suggests is true?[A] an exclusive study of American history [B] a greater emphasis on theoretical subjects[C] the application of emerging technologies [D] funding for the study of foreign languages65.It can be inferred from the passage that .A.professor are routinely supportive of free marketsB. intellectual investigation are put great value on in collegeC. progressive public policy is out of boundaries of proper studyD. professors have prejudice against classical liberal ideas66. Which of the following would be the best title for the text?[A]. The AAAS’s Contribution to Liberal Education [B] Illiberal Education and “The Heart of the Matter”[C] Ways to Grasp “The Heart of the Matter” [D] Progressive Policy vs. Liberal Education Section CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.The Tutorial System of Oxford University In the University of Oxford, teaching is conducted primarily through the tutorial system.It is one of the most unique and renowned methods of teaching across the world.The weekly tutorial consists of a one-hour meeting between the tutor and small numbers of students (usually two or four).During this time, an essay prepared specifically for that tutorial is read by students and commented upon by the tutor.At the end of the tutorial, the tutor will assign the topic of study for the forthcoming week and suggest readings. 67Meanwhile, they are also complemented by departmental lectures which are conducted on a university wide basis, lab work, and seminars often with groups of perhaps 10 students.Tutorials have gained their reputation because of the close relationship they maintain between the tutor and the student.The tutorial system provides undergraduates with direct and in most cases weekly contact with tutors in their academic fields. 68Before the weekly tutorial, students are required to prepare an essay or other works, which they read or present to the tutor.During each tutorial, students are expected to communicate, debate, analyze, and critique the ideas of others as well as their own in conversations with the professor and fellow-students.The tutorial system has great value that it creates learning and assessment opportunities which are highly authentic and difficult to fake,as the student's work is discussed on the spot.69 The contrast between tutorials and large lectures common in the American universities is obvious.In the typical American university, students are taught by the same specialists, in the same manner, and held to the same standards.However, during tutorials, students have the opportunity to explore their own ideas directly with experts in particular subjects. 70 As a result, students must engage in extensive independent reading and research, using the resources available, under the guidance of the tutor.IV. Summary WritingDirections:Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.HopeNothing in my life had prepared me for what I had to do. Choosing my words carefully, and fighting to stay calm, I told my 4-year-old daughter that her grandmother had suffered a stroke (中风), that she was unconscious, and that the doctors said she would probably never wake up. As she moved closer to me, Amelia looked at me, eyes bright, and said, “Maybe Grandma will be okay.” “Maybe she will,” I said, keeping back the tears. But I knew better. I was flying up to Myrtle Beach, South Carolina, from our Florida home in the morning to say good-bye to my mom.The rest of that awful week, I joined my brother and father sitting by my mother’s side in the hospital room. I held her hand and talked to her. I told her that we still needed her. I told her that it wasn’t time to leave ye t. I told her how much I loved her. And I told her that her little granddaughter, Amelia, believed that she’d get better. The doctors, with all their years of training and experience, offered no hope for recovery. The damage was simply too extensive.A couple of weeks later, an odd thing happened. Mom woke up! And then she persevered through a long and tough process of restoration to health, during which she had to learn to walk, read, and write all over again, and eventually returned home to Dad. The only one who wasn’tshocked was Amelia. The doctors couldn’t explain it. Amelia didn’t need to. Hope came as naturally to her as breathing.So why are we so afraid to hope sometimes? Maybe it’s because over the years, life’s disappointments can turn us to disillusionment(理想破灭). How many times have you heard someone say: “Hope for the best, expect the worst”? That’s not really hope at all.Hope is being able to look at our world with all of the joy and wonder of a child.V. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.71.希望人人都能各抒己见,因为缺乏沟通就会产生误解。