复旦附中18届月考(有答案)
2018学年九年级数学第二学期第二次月考试卷华师大版精品

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上海市复旦大学附中2018届高三上学期10月月考数学试题

绝密★启用前 上海市复旦大学附中2018届高三上学期10月月考数学试题 试卷副标题 注意事项: 1.答题前填写好自己的姓名、班级、考号等信息2.请将答案正确填写在答题卡上 第I 卷(选择题) 请点击修改第I 卷的文字说明 一、单选题 1.集合2{|,}A y y x x R ==∈,{2,1,1,2}B =--,则下列结论正确的是( ) A .(0,)A B ⋃=+∞ B .()(,0]R C A B =-∞U C .[0,)R A C B =+∞I D .(){2,1}R C A B =--I 2.在612x x ⎛⎫- ⎪⎝⎭的展开式中,4x 的系数为( ) A .-3 B .-0.5 C .3 D .6 3.已知0a b >>,且1ab =,如果把4b a 、()2a b -+、4a b 按从小到大的顺序排列,那么排在中间的数是( ) A .4b a B .()2a b -+ C .4a b D .不能确定 4.已知定义是R 上的偶函数()f x 在[)0,+∞上递增,记函数()()g x xf x =,对于如下两个命题:①存在函数()f x ,使函数()g x 在R 上递增;②存在函数()f x ,使函数()g x 在R 上递减.下列判断正确的是( ) A .①与②均为真命题 B .①与②均为假命题 C .①为真命题,②为假命题 D .①为假命题,②为真命题请点击修改第II 卷的文字说明 二、填空题 5.已知集合{}{}1,1,2,4,1,0,2,A B =-=-则A B =I __________. 6.函数211y x =+的值域是______. 7.程4220x x --=的解为______. 8.已知球的表面积是2484cm π,则该球的体积是______3cm (结果中保留π)9.函数212log (43)y x x =-+-的单调递增区间是 .10.在五个数字1、2、3、4、5中,若随机取出三个数字,则剩下的两个数字都是奇数的概率是 .11.设函数213,0()2log ,01x x f x x x -≤⎧⎪=⎨>⎪+⎩的反函数为1()y f x -=,则1(2)f --=________.12.已知0x ≥,0y ≥,且1x y +=,则22x y +的取值范围是_____.13.在平面直角坐标系xOy 中,角α与角β均以x 轴的正半轴为始边,它们的终边关于y 轴对称,若1sin 3α=,则cos 2β=______.14.已知函数()22x x x af x x x a ⎧--≤=⎨->⎩,若函数()f x无最大值,则实数a 的取值范围为______.15.若对于任意x R ∈,不等式1234x ax -≤+--≤恒成立,则实数a 的值为______. 16.已知定义在R 上函数()f x 满足,对一切实数x 、y ,均有()()22223f x y y f x y ++≥+,且()100100f =,则()200f =______.三、解答题17.已知函数()()2sin cos cos 2f x x x x =++.(1)求()f x 的最小正周期;…………线………………线……(2)已知ABC ∆的三个内角为A 、B 、C ,且()2f A =,求()cos B C +的值. 18.如图所示,在棱长为2的正方体1111ABCD A B C D -中,E 、F 分别为线段1DD 、BD 的中点.(1)求异面直线EF 与BC 所成的角; (2)求三棱锥11C B D F -的体积. 19.甲厂以x 千克/小时的速度运输生产某种产品(生产条件要求110x ≤≤),每小时可获得利润是3100(51)x x +-元. (1)要使生产该产品2小时获得的利润不低于3000元,求x 的取值范围; (2)要使生产900千克该产品获得的利润最大,问:甲厂应该选取何种生产速度?并求最大利润. 20.已知a R ∈,函数()24log 2a x f x ⎛⎫=+ ⎪-⎝⎭. (1)求实数a 的值,使得()f x 为奇函数; (2)若关于x 的方程()()2log 2175f x a x a =-+-⎡⎤⎣⎦有两个不同实数解,求a 的取值范围; (3)若关于x 的不等式()()2log 21f x x a >-+对任意[]3,6x ∈恒成立,求a 的取值范围. 21.对于函数()()f x x D ∈,若存在正常数T ,使得对任意的x D ∈,都有()()f x T f x +≥成立,我们称函数()f x 为“T 同比不减函数”. (1)求证:对任意正常数T ,()2f x x =都不是“T 同比不减函数”; (2)若函数()sin f x kx x =+是“2π同比不减函数”,求k 的取值范围; (3)是否存在正常数T ,使得函数()11f x x x x =+--+为“T 同比不减函数”,若存在,求T 的取值范围;若不存在,请说明理由.参考答案1.D【解析】因为2{|,}[0,)A y y x x R ==∈=+∞,{2,1,1,2}B =--,所以(){}2,1R C A B ⋂=--,故选D.2.A【解析】【分析】 把612x x ⎛⎫- ⎪⎝⎭按照二项式定理展开,可得展开式的通项公式6161()2r r r r T C x x -+=-,根据通项公式可求解.【详解】 将612x x ⎛⎫- ⎪⎝⎭展开得通项公式66216611()=22rr r r r r r T C x C x x --+⎛⎫=-- ⎪⎝⎭, 含4x ,则令624r -=,得1r =, 所以4x 的系数为:116132C ⎛⎫-=- ⎪⎝⎭故选:A【点睛】本题主要考查二项式定理的应用,二项展开式的通项公式,属于基础题.3.B【解析】【分析】 0a b >> ,且1ab =,则1b a=,可得22222222a a b b b b b a b ⋅>⋅>⋅>⋅⋅.化简即可得出结论【详解】 由0a b >> ,且1ab =,有10>>>a b ,1b a= 222222222=2a a b b b b b b a b b ⋅>⋅>⋅>⋅⋅⋅即22222=22a a b a b b a b +⋅>⋅>⋅,即22111222a a b ba b +<<⋅⋅ 21124a a b a =⋅⋅ ,21124b b a b =⋅⋅ 所以有1424a ab b b a +<< 所以按从小到大的顺序排列,()2a b -+排在中间.故选:B【点睛】本题考查了不等式的性质及其应用和指数的运算性质,考查了推理能力与计算能力,属于中档题.4.A【解析】【分析】根据g()x 的奇偶性可知只需判断g()x 在[0,)+∞的单调性即可,令2()f x x =可判断①,根据()1(0)x f x ex -=--≥可判断②.【详解】 g()()()()x xf x xf x g x -=--=-=-,则()g x 为奇函数,所以()g x 在[0,)+∞上的单调性与在R 上的单调性相同.(1) 若2()f x x =,则3()g x x =,显然()g x 在上是增函数,所以①为真命题.(2) 若当0x ≥时,若1()(0)x f x e x --=-≥,则()x g x xe x -=--1()11x x xx g x e xe e ---'=-+-=- 2()x x g x e -''= 当02x ≤<时,()0g x ''>,当2x >时,()0g x ''<所以()g x '在[0,2)上单调递增,在(2,)+∞上单调递减. 所以21()(2)10g x g e ''≤=-< 所以g()x 在[0,)+∞上单调递减,又()g x 为奇函数且g(0)0=,所以函数()g x 在R 上递减.故选:A【点睛】本题考查了函数奇偶性与单调性的判断,属于中档题.5.{}12-,【解析】【分析】直接利用集合交集的定义求解即可.【详解】因为集合{}{}1,1,2,4,1,0,2,A B =-=-两个集合的公共元素为1,2-所以{}1,2A B =-I .故答案为{}1,2-.【点睛】研究集合问题,一定要抓住元素,看元素应满足的属性.研究两集合的关系时,关键是将两集合的关系转化为元素间的关系,本题实质求满足属于集合A 且属于集合B 的元素的集合. 6.(]0,1【解析】【分析】根据2x 的范围可直接求出函数211y x =+的值域。
上海市2018-2019学年复旦附中高三上学期第一次月考数学试题(解析版)

上海市2018-2019学年复旦附中高三上学期第一次月考一、选择题(本大题共4小题)1. 设集合A ={x|x−1x−a ≥0},集合B ={x||x −2|>1},且B ⊆A ,则实数a 的取值范围是 ( ) A. a ≤1 B. a ≤3C. 1≤a ≤3D. a ≥3 2. 条件甲:函数f(x)满足f(−x)f(x)=1;条件乙:函数f(x)是偶函数,则甲是乙的( )A. 充分非必要条件B. 必要非充分条件C. 充要条件D. 既非充分也非必要条件3. 关于函数f(x)=x|x|+4x(x ∈R)的反函数,正确的是( )A. 有反函数f −1(x)={√x +4+2,x ≥0√4−x −2,x <0 B. 有反函数f −1(x)={√x +4−2,x ≥02−√4−x,x <0 C. 有反函数f −1(x)={√x +4−2,x ≥0√4−x +2,x <0D. 无反函数 4. 定义“正对数”:ln +x ={lnx,x ≥10,0<x<1,现有四个命题:①若a >0,b >0,则ln +(ab)=ln +a +ln +b ;②若a >0,b >0,则ln +a b =bln +a③若a >0,b >0,则ln +(a b )≥ln +a −ln +b④若a >0,b >0,则ln +(a +b)≤ln +a +ln +b +ln +2则所有真命题的序号为( ) A. ①②③B. ①②④C. ③④D. ②③④二、填空题(本大题共12小题,共54.0分)5. 已知全集U =R ,A ={x|x 2−3x <0},B ={x|x >2},则A ∩∁U B =______.6. 在复数集上,方程x 2+2x +2=0的根是______.7. 方程lg(5⋅2x −5)=lg(4x −1)的解是x =______.8. 已知AB 为抛物线x 2=y 的弦,如果此弦的垂直平分线的方程是y =−x +3,则弦AB 所在直线的方程是______.9. 函数y =√|x −1|的递增区间是______.10. 设a 、b ∈R +,则n →∞lim a n(a+b)n =______.11. 若函数f(x)=log 2(4x +1)+kx 偶函数,则实数k 的值是______.12. 正方体的体对角线与面对角线所成的角α的集合是______.13. 某班级有38人,现需要随机抽取2人参加一次问卷调查,那么甲同学选上,乙同学未选上的概率是______(用分数作答).14.观察下列等式:12=112−22=−312−22+32=612−22+32−42=−10…照此规律,第n个等式可为______.15.已知二次函数y=f(x)的图象为开口向下的抛物线,且对任意x∈R都有f(1−x)=f(1+x).若向量a⃗=(√m,−1),b⃗ =(√m,−2),则满足不等式f(a⃗⋅b⃗ )>f(−1)的m的取值范围为______.16.某班共有50名学生,已知以下信息:①男生共有33人;②女团员共有7人;③住校的女生共有9人;④不住校的团员共有15人;⑤住校的男团员共有6人;⑥男生中非团员且不住校的共有8人;⑦女生中非团员且不住校的共有3人.根据以上信息,该班住校生共有______人.三、解答题(本大题共5小题,共76.0分)17.已知集合P n={x|2n<x<2n+1且x=7m+3,m,n∈N∗}.(1)用列举法写出集合P4;(2)是否存在自然数n,使得2019∈P n,若存在,求出n的值,并写出此时集合P的元素个数;若不存在,请说明理由.18.设函数y=f(x)是由曲线C:x2−y2=1(xy≥0)确定的.4(1)写出函数y=f(x),并判断该函数的奇偶性;(2)求函数y=f(x)的单调区间并证明其单调性.19.中国古建筑中的窗饰是艺术和技术的统一体,给人于美的享受.如图(1)为一花窗;图(2)所示是一扇窗中的一格,呈长方形,长30cm,宽26cm,其内部窗芯(不含长方形边框)用一种条形木料做成,由两个菱形和六根支条构成,整个窗芯关于长方形边框的两条对称轴成轴对称.设菱形的两条对角线长分别为xcm和ycm,窗芯所需条形木料的长度之和为L.(1)试用x,y表示L;(2)如果要求六根支条的长度均不小于2cm,每个菱形的面积为130cm2,那么做这样一个窗芯至少需要多长的条形木料(不计榫卯及其它损耗)?20.定义在R上的奇函数f(x)有最小正周期4,且x∈(0,2)时,f(x)=2x4+1.(1)判断并证明f(x)在(0,2)上的单调性,并求f(x)在[−2,2]上的解析式;(2)当λ为何值时,关于x的方程f(x)=λ在[2,6]上有实数解?21.已知f(x)=√x√x +√x+1x+1及g(x)=√x√x√x+1x+1.(1)分别求f(x)、g(x)的定义域,并求f(x)⋅g(x)的值;(2)求f(x)的最小值并说明理由;(3)若a=√x2+x+1 , b=t√x , c=x+1,是否存在满足下列条件的正数t,使得对于任意的正数x,a、b、c都可以成为某个三角形三边的长?若存在,则求出t的取值范围;若不存在,请说明理由.。
上海复旦附中2018届高三上学期第一次月考数学试题 (2)

高三数学拓展课012019.9.12一、填空题(1-6题每题4分,7-12题每题5分) 1. 已知全集U R =,集合102x A xx ⎧+⎫=≤⎨⎬-⎩⎭,则集合u A =ð____________.2. 已知函数34()log 2f x x ⎛⎫=+⎪⎝⎭,则方程1()4f x -=的解x =____________. 3. 已知线性方程组的增广矩阵为11334a --⎛⎫ ⎪⎝⎭,若该线性方程组的解为12-⎛⎫⎪⎝⎭,则实数a =____________.4. 无穷等比数列*{}()n a n N ∈的前n 项的和是n S ,且1lim 2n n S →∞=,则首项1a 的取值范围是____________.5. 已知虚数z 满足216z z i -=+,则||z =____________.6.3(1)n x -展开式的二项式系数之和为256,则展开式中x 的系数为____________.7. 已知ABC V 的内角A 、B 、C 所对应边的长度分别为a 、b 、c ,若a cb ac abb--=,则角C 的大小是____________.8. 学校有两个食堂,现有3名学生前往就餐,则三个人不在同一个食堂就餐的概率是____________.9. 若数12345,,,,a a a a a 的标准差为2,则数1234532,32,32,32,32a a a a a -----的方差为____________.10. 如图,在矩形OABC 中,点E 、F 分别在线段AB 、BC 上,且满足3,3AB AE BC CF ==,若(,)OB OE OF R λμλμ=+∈u u u r u u u r u u u r,则λμ+=____________.11. 已知22430()230x x x f x x x x ⎧-+≤=⎨--+>⎩,当[,1]x a a +时不等式()(2)f x a f a x +≥-恒成立,则实数a 的最大值是____________.12. 已知()f x 是定义在R 上的奇函数,当01x ≤≤时,2()f x x =,当0x >时,(1)()(1)f x f x f +=+,若直线y kx =与函数()y f x =的图像恰有11个不同的公共点,则实数k 的取值范围为____________.二、选择题(每题5分)13. 下列四个命题中,为真命题的是( )A. 若a b >,则22ac bc >B. 若,a b c b >>,则a c b d ->-C. 若||a b >,则22a b >D. 若a b >,则11a b< 14. 下列函数中,既是奇函数,又在区间(0,)+∞上递增的是( )A. ||2x y =B. ln y x =C. 13y x =D. 1y x x=+15. 设,a b r r 是两个单位向量,其夹角为θ,则“63ππθ<<”是“||1a b -<r r ”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 16. 设,,x y z 是互不相等的正数,则下列不等式中不恒成立的是( )A. 2211x x x x+≥+B.-≤C. 1||2x y x y-+≥- D. ||||||x y x z y z -≤-+-三、解答题17. (本题满分14分,第1小题8分,第2小题6分) 如图,某人打算做一个正四棱锥形的金字塔模型,先用木料搭边框,再用其他材料填充。
上海市复旦大学附属中学2018届高三上学期期中等级性考试物理试题 含答案

一、选择题(共40分)1.下列说法中,不符合物理学史实的是( )A.亚里士多德认为,必须有力作用在物体上,物体才能运动;没有力的作用,物体或静止B.牛顿认为,力是物体运动状态改变的原因,而不是物体运动的原因C.麦克斯韦发现了电流的磁效应,即电流可以在其周围产生磁场D.奥斯特发现导线通电时,导线附近的小磁针发生偏转2.下列关于惯性的说法中,正确的是( )A.汽车制车时,乘客的身子会向前倾斜,是因为汽车有惯性B.做匀速直线运动的物体和静止的物体没有惯性C.物体的惯性只有在物体速度改变时才表现出来D.物体都具有惯性,与物体是否运动无关,与物体速度是否变化也无关3.汽车在水平路面上以额定的功率行驶,当汽车在加速时( )A.汽车的奉引增大,加速度增大B.汽车的奉引减小,加速度减小C.汽车的牵引不变,加速度不变D.汽车的奉引减小,加速度不变4.一质点做匀速直线运动,现对其施加一恒力,且原来作用在质点上的力不发生改变,则( )A.质点速度的方向总是与该恒力的方向相同B.质点速度的方向可能总与该恒力的方向垂直C.质点加速度的方向总是与该恒力的方向相同D.质点单代时间内速率的变化量总是不变A.周期不变,振幅不变B.周期不变,振幅变小C.周期改变,振幅不变D.周期改变,振幅变大6.如图,光滑的水平面上固定着一个半径在逐渐减小的螺旋形光滑水平轨道。
一个小球以一定速度沿轨道切线方向进入轨道,关于小球的角速度和向心加速度大小变化说法正确的是( )A.增大、减小B.减小、增大C.增大、增大D.减小、减小7.“蛟龙号”是我国首台自主研制的作业型深海载人潜水器,它是目前世界上下潜能力最强的潜水器,假设某次海试活动中,“蛟龙号”完成海底任务后竖直上浮,从上浮速度为v 时开始计时,此后“蛟龙号”匀减速上浮,经过时间t 上浮到海面,速度给好减为零。
则“蛟龙号”在0t (0t <t)时刻距离海平面的深度为( )8.如围所示是某威点做简谐运动的振动图象,关于质点的运动情况,下列描述正确的是( )A.t=1.5s 时,质点正沿x 轴正方向运动B.t=1.5s 时,质点的位移方向为x 轴负方向C.t=2s 时,质点的速度为零D.t=2s 时,质点的加速度为零9.如图1,为伽利略研究自由落体运动实验的示意图,让小球由倾角为θ的光滑斜面滑下,然后在不同的θ角条件下进行多次实验,最后推理出自由落体运动是一种匀加速直线运动,分析该实验可知,小球对斜面的压力小球运动的加速度和重力加速度与各自最大值的比值y 随θ变化的图象分别对应图2中( )A.①②和③B.③②和①C.②③和①D.③①和②10.如图所示,质量为M 的斜面体A 放在粗糙水平面上,用轻绳拴住质量为m 的小球B 置于斜面上整个系统处于静止状态,己知斜面顧角及轻绳与整直方向夹角均为θ=30°。
上海市复旦大学附属中学2018届高三9月月考数学试题 含答案

复旦附中高三月考数学卷2018.9.29一. 填空题 1. 不等式113x <的解为 2. 已知集合2{|1,}A y y x x R ==-∈,{|lg(1)}B x y x ==-,则AB =3. 已知奇函数()g x ,当0x <时,2()g x x x =+,则0x >时,()g x =4. 函数34y x x=-,[1,4]x ∈的值域为 5. 若lg lg 2x y +=,则11x y+的最小值为6. 若z 是关于x 的一元二次方程220x x m -+=()m R ∈的一个虚根,且||2z =,则实数m 的值为7. 设集合4{|10,}A x x x C =-=∈,23z i =-,若x A ∈,则||x z -最大值是 8. 若二项式2(3n x -*()n N ∈展开式中含有常数项,则n 的最小取值是 9. 已知方程240x px ++=()p R ∈有两个虚根,αβ,则22αβ+的取值范围是10. 从集合{1,2,3,4,5,6,7,8,9,10}中任取两个数,要使取到的一个数大于k ,另一个数小于k (其中{5,6,7,8,9}k ∈)的概率是25,则k = 11. 已知命题:1p x <-或3x >,命题:31q x m <+或2x m >+,若p 是q 的充分非必要条件,则实数m 的取值范围是12. 已知关于x 的不等式组2122kx x k ≤++≤有唯一实数解,则实数k 的取值是 13. 不等式2(1)(43)0x x x +-+>有多种解法,其中有一种方法如下:在同一直角坐标系 中作出11y x =+和2243y x x =-+的图像,然后进行求解,请类比求解以下问题:设,a b Z ∈,若对任意0x ≤,都有2(2)(2)0ax x b ++≤,则a b +=14. 设()f x 是定义在R 上的奇函数,且对于任意的x R ∈,(1)(1)f x f x +=-恒成立,当[0,1]x ∈时,()2f x x =,若关于x 的方程()f x ax =有5个不同的解,则实数a 的取值范围是二. 选择题15. 若,,a b c R ∈,a b >,则下列不等式成立的是( ) A.11a b < B. 22a b > C. 2211a b c c >++ D. ||||a c b c >16. 集合2{|,}A y y x x R ==∈,{2,1,1,2}B =--,则下列结论正确的是( ) A. (0,)AB =+∞ B. ()(,0]RC A B =-∞C. [0,)R A C B =+∞D. (){2,1}R C A B =--17. 对任意复数z x yi =+(,)x y R ∈,i 为虚数单位,则下列结论正确的是( ) A. ||2z z y -= B. 222z x y =+ C. ||2z z x -≥ D. ||||||z x y ≤+18. 已知函数()f x a 为常数,且*a N ∈),对于定义域内的任意两个实数1x 、2x ,恒有12|()()|1f x f x -<成立,则正整数a 可以取的值有( )个A. 4B. 5C. 6D. 7三. 解答题19. 设复数z a bi =+(,)a b R ∈,若1zz +是纯虚数,求|2|z -的取值范围;20. 已知函数2()1xf x x -=+; (1)若关于x 的方程()30x f x m --=在[1,)x ∈+∞上有解,求实数m 的最大值; (2)是否存在00x <,使得00()3xf x =成立?若存在,求出0x ,若不存在,说明理由;21. 某商场在店庆一周年开展“购物折上折活动”:商场内所有商品按标价的八折出售,折 后价格每满500元再减100元,如某商品标价为1500元,则购买该商品的实际付款额为15000.82001000⨯-=(元),购买某商品得到的实际折扣率=实际付款额商品的标价,设某商品标价为x 元,购买该商品得到的实际折扣率为y ;(1)写出当(0,1000]x ∈时,y 关于x 的函数解析式,并求出购买标价为1000元商品得到 的实际折扣率;(2)对于标价在[2500,3500]的商品,顾客购买标价为多少元的商品,可得到的实际折扣 率低于23?22. 已知函数2()log ()f x x a =+;(1)当1a =时,若10(12)()2f x f x <--<,求x 的取值范围; (2)若定义在R 上奇函数()g x 满足(2)()g x g x +=-,且当01x ≤≤时,()()g x f x =,求()g x 在[3,1]--上的反函数()h x ;(3)对于(2)中的()g x ,若关于x 的不等式232()1log 382xx t g +-≥-+在R 上恒成立,求实数t 的取值范围;23. 设A 是由n 个有序实数构成的一个数组,记作12(,,,,,)i n A a a a a =⋅⋅⋅⋅⋅⋅,其中i a (1,i =2,,)n ⋅⋅⋅称为数组A 的“元”,i 称为i a 的下标,如果数组S 中的每个“元”都是来自数组 A 中不同下标的“元”,则称S 为A 的子数组,定义两个数组12(,,,)n A a a a =⋅⋅⋅和1(,B b =2,,)n b b ⋅⋅⋅的关系数为1122(,)n n C A B a b a b a b =++⋅⋅⋅+;(1)若11(,)22A =-,(1,1,2,3)B =-,设S 是B 的含有两个“元”的子数组,求(,)C A S的最大值;(2)若A =,(0,,,)B a b c =,且2221a b c++=,S 为B 的含有三个“元” 的子数组,求(,)C A S 的最大值;(3)若数组123(,,)A a a a =中的“元”满足2221231a a a ++=,设数组m B *()m N ∈含有 四个“元”1234,,,m m m m b b b b ,且12342222m m m m b b b b m +++=,求A 与m B 的所有含有三个“元”的子数组的关系数的最大值;参考答案一. 填空题 1. (,0)(3,)-∞+∞ 2. [1,1)- 3. 2x x -+ 4. [3,63]-5.15 6. 47. 8. 7 9. [0,8) 10. 7 11. 2[,)3-+∞12. 1{2- 13. 1- 14. 222(,){}375--二. 选择题15. C 16. D 17. D 18. B三. 解答题 19. [2,3]; 20.(1)52-;(2)不存在; 21.(1)0.8,06251000.8,6251000x y x x <<⎧⎪=⎨-≤≤⎪⎩,1000x =时,0.7y =; (2)[2500,3000)[3125,3500];22.(1)133x -<<;(2)21,[0,1]()23,[1,0]xx x h x x -⎧--∈⎪=⎨-∈-⎪⎩;(3)[4,20]-;23.(1)2;(2)1;(3;。
上海市复旦大学附属中学2017-2018学年高一10月月考英语试题 Word版含答案

复旦大学附属中学2017-2018学年第一学期试卷高一英语 2018/10(满分150分,答卷时间120分钟)第I卷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 you paper, and decide which one is the best answer to the question you have heard.1. A. At 10:00 B. At 10:10 C. At 10:20 D. At 10:302. A. Sandwiches B. Bread and butter C.Eggs D. Coffee3. A. 30 yuan B. 40 yuan C. 60 yuan D. 100 yuan4. A. Boating and swimming B. SwimmingC. SkatingD. Boating5. A. Daughter and son B. Father and daughterC. Husband and wifeD. Mother and son6. A. Help the man repair his car B. Give the man a ride to workC. Cancel the man’s appointmentD. Take the man to his doctor’s office7. A. She attended the party. B. She visited th e man’s home.C. She stayed home with a visitor.D. She went out to meet her friend.8. A. Her college life us relaxingB. Her college life is out of her expectationC. She is always available in the college.D. She is very pleased with her college life9. A. Jack is the best student.B. Jack is second to AnnC. Jack is as good as anyoneD. Jack is the second best student in the class10. A. Go on playing the games B. Have a good restC. Review his lessonsD. Stop watching videoSection BDirections: 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. The care for the people B. Payment for the damage done by dogsC. Medical care for dogsD. Insurance for dog owners12. A. The owner of the car . B. The owner of the dogC. The insurance companyD. The government13. A. Dogs are welcome in public places B. Keeping dogs means asking for troubleC. Many car accidents are caused by dogsD. People take overall responsibility for their dogs Questions 14 through 16 are based on the following news.14. A. One B. TwoC. ThreeD. Four15. A. It is made up of five collegesB. Its students are mainly undergraduatesC. It provides housing for all undergraduate studentsD. All the faculty members are expected to teach and research16. A. Princeton offers two undergraduate degreesB. An academic year lasts about nine months in Princeton UniversityC. Undergraduates should spend their first two years in one of five colleges.D. It’s about an hour’s train ride from Princeton University to the north of New York City. Section CDirections: In Section C, you will hear tow longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with theinformation you have heard. Write your answersBlanks 17 through 20 are based on the following conversation.What is the person in the next room doing? The person is 17 the piano.What does the woman think of herself? She doesn’t have any music18What music does the man like? All kinds of music, from 19 to pop. What’s the man’s answer to the woman’s suggestion? To20 the woman to the concert, Complete the form. Write ONE WORD for each answer.Blanks 21 through 24 are based on the following conversation.What were the overseas students from last year?They were from African countries, the Far East, 21 and Latin America..What did the woman do before she became an assistant director?She was secretary of 22 at Birmingham.What does the man ask the woman to imagine?23 a different kind of responsibility or doing something else.What will the woman’s new job be like?There is going to be more 24Complete the form. Write NO MORE THAN THREE WORDS for each answer.II. Grammar and vocabularySection A:Directions: Beneath each of the following sentences there are four choices marked A, B. C and D. Choose the one answer that best completes the sentence.25.-Look out , you were almost hit by the truck. - Oh, thank you. But I __________ about a math problem .A. had been thinkingB. thoughtC. was thinkingD. am thinking26. I didn’t like Mr. Li, who ___________ without warning and brining complaints about my school life to my parents.A. always turned upB. has always turned upC. was always turning upD. was always turned up27.I arrived late; I ____________ the road to be so icy.A. wouldn’t expectB. haven’t expectedC. hadn’t expectedD. wasn’t expecting28.The general announced yesterday that by the end of the next month, the army ___________ the occupied area.A. will have leftB. will leaveC. would have leftD. had left29.He will have learned English for eight years by the time he _________ from the university next year.A. will graduateB. graduatedC. graduatesD. is to graduate30.They asked me to have a drink with them. I said it was at least ten years since I _________ a good drink.A. had enjoyedB. was enjoyingC. enjoyedD. had been enjoying31.The man opened the box only _________ there was nothing in it.A. foundB. to findC. had foundD. have found32.Something _________ these years to prevent the rivers in our city from being polluted.A. has been doneB. have doneC. doneD. being done33. Every few years, the coal workers ___________ their lungs X-rayed to ensure their health.A. are havingB. haveC. have hadD. had had34.The church tower which __________will be open to tourists soon. The work is almost finished.A. has restoredB. has been restored C .is restoring D. is being restored35. Wind power is an ancient source of energy________ we may return in the near future.A. on whichB. by whichC. to whichD. from which36. Today we have chat rooms, text messaging, emailing… but we seem ______ the art ofcommunicating face-to-face.A. losingB. to be losingC. to be lostD. having lost37. The police officers in our city work hard ______ the rest of us can live a safe life.A. in caseB. as ifC. in order thatD. only if38. There is much truth in the idea _ kindness is usually served by frankness.A. whyB. whichC. thatD. whether39. Some parents argue that it is their job to get their kids _____ in community service.A. to involveB. involvedC. involvingD. involve40. Whether or not your role models are famous, they should be people worth _____.A . to copyB . to be copied C. copying D. being copiedKeys: 25-30 CCCCCA 31-35 BABDC 36-40 BCCBCSection BDirections: 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)When 41_____________ (ask)to point out one or two things that are most important to themselves, many put friends ahead 42 ___________ homes, jobs, clothes and cars.A true friendship carries a long history of experience that determines who we are and 43 __________ (keep)us connected. It is a treasure we should protect. Unfortunately, the better friends you are, the 44 ________ (probable)you’ll have disagreements. And the result can be what you don’t want— an end to the relationship.The good news is 45 _________ most troubled friendships can be mended. First, don’t let your pride get in your way. Most of us can forgive each other when differences are brought out in the open. Second, 46 _________ (apologize)when you’re wrong --–47 _____ _____ you’ve been wronged. Over the course of a friendship, even the best people make mistakes. Sometimes, it may be best if the wronged person takes the lead and apologizes. When you apologize, give your friend a chance to admit that he has been wrong. Third, see things from your friend’s point of view. And finally, accept that friendships change as our needs and lifestyle change. Makingfriends can sometimes seem easy. The hard part is keeping the connections strong during the natural ups and downs that have an effect on all relationships. My suggestion: Consider friendship 48 _________ honor and a gift, and worth the effort to treasure and nurture 培养.Keys:41.asked,42.of,43.keeps,44.more probable,45.the,46.apologize,47.even if,48.an(B)Fear 49 __________ be felt in the heart as well as in the head, according to a study that has found a link between the cycles of a beating heart and the chance of someone feeling fear. Tests on healthy volunteers found that they were more likely to feel a sense of fear at the moment when their hearts are contracting(收缩)and pumping blood around their bodies, compared with the point 50 ________ the heartbeat is relaxed. Scientists say the results suggested that the heart is able to influence 51 ___________ the brain responds to a fearful event, depending on which point it is at in its regular cycle of contraction and relaxation. Sarah Garfinkel at the Brighton and Sussex Medical School said, “Our study show for the first time that the way 52 _____ ______ we deal with fear is different, depending on when we see fearful pictures in relation to our heart. The study tested 20 healthy volunteers on their reactions to fear as they were shown pictures of fearful faces. Dr. Garfinkel said, “The study showed that fearful faces are better noticed when the heart is pumping 53 _________ when it is relaxed. Thus our hearts can also affect what we see and what we don’t see —and guide whether we see fear.” 54 _________ (understand)this relationship further, the scientists also used a brain scanner to show how the brain influences the way the heart changes a person’s feeling of fear. “So far we 55 ___________ (find)an important mechanism by which the heart and brain ‘speak’ to each other to change our feelings and reduce fear” Dr. Garfinkel said. “We hope that by increasing our understanding about how fear is dealt with and ways that it could be reduced, we may be able to develop more successful treatments for anxiety, disorders, and also for 56 __________ who are suffering from serious stress disorder.” Keys: 49.may 50.when 51.how 52.in which 53.than 54.To understand 55.have found 56.thoseSection CDirections: Complete the following passage by using the words in the box. Each word can only beused once. Note that there is one word more than you need.Walking, if you do it vigorously enough, is the overall best exercise for regular physical activity. It requires no equipment, everyone knows how to do it and it carries the 57 risk of injury. The human body is designed to walk. You can walk in parks or along a river or in your neighborhood. To get 58 benefit from walking, aim for 45 minutes a day, an average of five days a week. Strength training is another important 59 of physical activity. Its purpose is to build and 60 bone and muscle mass, both of which shrink with age. In general, you will want to do strength training two or three days a week , 61 recovery days between sessions.Finally, flexibility and balance training are 62 important as the body ages. Aches and pains are high on the list of complaints in old age. The result of constant muscle tension and stiffness of joints, many of them are 63 and simple flexibility training can 64 these by making muscles stronger and keeping joints lubricated 润滑. Some of this you do whenever you stretch. If you watch dogs and cats, you’ll get an idea of how natural it is. The general65 is simple: whenever the body has been in one position for a while, it is good to 66 stretch it in an opposite position.Keys: 57 H 58 J 59 D 60 I 61 A 62 G 63 B 64 K 65 E 66 CIII. 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 responsibilities of job, home and family all too often transform the daily routine into a huge burden. Enjoying quality leisure time becomes 67 .True leisure means engaging in a 68 and rewarding activity without being 69 by other aspects of your life. Sometimes, the 70 you experience during the week makeyou place great emphasis on weekends and other days off. You hope to relax, but the stress is 71 .You can't rest even when you have the time to do so. When time is limited, leisure activities areusually the first items to 72 from the daily schedule.If you routinely 73 your leisure time because you have "more important things to do," you may be underestimating how much time the things 74 take. Most people routinely shortchange themselves on the amount of time required to complete a given task. The problem isa 75 to evaluate performance honestly.76 , simplifying your life will let you have more windows of opportunity to do stuff just for fun. Maybe you need to relearn to relax.Spare Time for Your 77 : Devote one afternoon or evening per week 78 to doing something that you enjoy, listening to music, assembling a jigsaw puzzle. Do whatever you always wish to but never seem to find time for. And do it where there's nothing to remind you of other 79 .Choose Low-Tech: The popular fascination with technological advances in all areas of life has diverted 偏离attention from the simple pleasures of many 80 pastimes. People think they must have the best, most up-to-date equipment available to enjoy themselves. When keeping up with trends becomes the ., the pure pleasure of leisure is lost.67. A. difficult B. essential C. noticeable D. incapable68.A. reluctant B. pleasurable C. delicate D. disgusting69.A. cultivated B. ashamed C. preoccupied D. oppressed70.A. favour B. risk C. stress D. thirst71.A. reasonable B. enormous C. ignorant D. adjusted72.A. destroy B. consider C. recognize D. disappear73.A. estimate B. fulfill C. abandon D. expand74.A. constantly B. actually C. initially D. equally75.A. variety B. delay C. failure D. record76.A. Consequently B. However C. Moreover D. Therefore77.A. Instincts B. Images C. Desires D. Tasks78.A. occasionally B. entirely C. primarily D. dramatically79.A. duties B. expectations C. stimulations D. limitations80.A. uncommon B. individual C. traditional D. physical81.A. focus B. depression C. source D. threatKey:67-71 ABCCB 72-76 DCBCB 77-81 CBACASection 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)Here is one of the world’s largest indoor ski-slopes. It covers an area of 22,500m2, about the same size as three football fields, and the temperature is a constant -1℃to -2℃. However, the strangest thing about this place is that it’s in the middle of the desert! It’s called Ski Dubai and the outside temperature s can rise to more than 40℃!It sounds crazy, but it just shows how serious people are about having fun. We spend huge sums on sports facilities. We pay our sports stars ridiculous amounts of money. And we spend hour after hour playing games! I wonder if all the sports - lovers and game - players in the world aren’t a little crazy. I know I am. I was once driving past a football field where some kids were playing. I turned to watch and crashed my car. I know it’s stupid but I can do nothing about it. As someone said, “Football isn’t a matter of life and death. It’s much more important than that!”Of course, it isn’t that important really. No game is. But the problem is that games are addictive. From the tennis court to the golf course, you’ll find participants and spectators who can’t live without the drug of their choice. It could be a good thing. After all, despite being addictive, it’s true that sports and games help us to relax. Maybe if it wasn’t for sport, our societies would be more violent. Perhaps sport is a substitute for war? It’s hard t o think of a quieter, more peaceful game than chess, and what’s the objective? Capturing your opponent’s king, and surely, it’s better to have wars in athletics stadiums rather than on battlefields.What’s more, playing is natural. Kittens chase balls of w ool and puppies pretend to fight. Games help us perfect ours kills and prepare us for the serious contest of survival.But do all games help us relax and stay away from violence? What about computer games? A recent article in New Scientist suggest s that playing violent video games and most of them are extremely violent makes people more aggressive and more likely to commit violent crimes.Are these games a rehearsal for life or a substitute for life? Do we play instead of facing up toour real problems? I don’t know. But what I do know is that I need a break, something to help me relax. Skiing would be nice. I wonder how much it costs to get to Dubai?82. According to the author, the most surprising thing about Ski Dubai is its _____.A. slopesB. sizeC. locationD. facilities83. The expression “the drug of their choice” in the 3rd paragraph refers to _____.A. the game they are keen onB. the medicine they takeC. the activity good for healthD. the sport in place of war84. Which of the following statements does the author most probably agree with?A. Sports stars should be paid more to play well.B. Sports are more important than life and death.C. Chess is too peaceful to be considered a sport.D. Games can make one relaxed as well as violent.85. What does the author mainly talk about in the passage ?A. The relationship between games and crimes .B. Human natural craze for having fun with games.C. Serious concerns about time that is spent on games.D. Real problems facing game players in everyday life.Keys: C A D B(B)Across the rich world, well-educated people increasingly work longer than the less-skilled. Some 65% of American men aged 62-74 with a professional degree are in the workforce, compared with 32% of men with only a high-school certificate. This gap is part of a deepening divide between the well-education well off and the unskilled poor. Rapid technological advance has raised the incomes of the highly skilled while squeezing those of the unskilled. The consequences, for individual and society, are profound.The world is facing as astonishing rise in the number of old people, and they will live longer than ever before. Over the next 20 years the global population of those aged 65 or more will almost double, from 600 million to 1.1 billion. The experience of the 20th century, when greater longevity 长寿translated into more years in retirement rather than more years at work, haspersuaded many observers that this shift will lead to slower economic growth, while the swelling ranks of pensioners will create government budget problems.But the notion of a sharp division between the working young and the idle old misses a new trend, the growing gap between the skilled and the unskilled. Employment rates are falling among younger unskilled people, whereas older skilled folk are working longer. The divide is most extreme in America, where well-educated baby-boomers are putting off retirement while many less-skilled younger people have dropped out of the workforce.That even the better-off must work longer to have a comfortable retirement. But the changing nature of work also plays a big role. Pay has risen sharply for the highly educated, and those people continue to reap rich rewards into old age because these days the educated elderly are more productive than the preceding generation. Technological change may well reinforce that shift: the skills that complement computers, from management knowhow to creativity. Do not necessarily decline with age.86.what is happening in the workforce in rich countries?A. younger people are replacing the elderlyB. well-educated people tend to work longerC. unemployment rates are rising year after yearD. people with no college degree do not easily find work87.what do many observers predict in view of the experience of the 20th century?A. Economic growth will slow down.B. Government budgets will increase.C. More people will try to pursue higher educationD. There will be more competition in the job market.88.What is the result of policy changes in European countries?A. Unskilled workers may choose to retire early.B. more people have to receive in-service training.C. Even wealthy people must work longer to live comfortably in retirement.D. People may be able to enjoy generous defined-benefits from pension?plans.89.What is characteristic of work in the 21st century?A. Computers will do more complicated work.B. More will be taken by the educated young.C. Most jobs to be done will be creative ones.D. Skills are highly valued regardless of age.Keys: B A C D(C)At the heart of the debate over illegal immigration lies one key question: are immigrants good or bad for the economy? The American public overwhelmingly thinks they're bad. Yet the consensus among most economists is that immigration, both legal and illegal, provides a small net boost to the economy. Immigrants provide cheap labor, lower the prices of everything from farm produce to new homes, and leave consumers with a little more money in their pockets. So why is there such a discrepancy between the perception of immigrants' impact on the economy and the realityThere are a number of familiar theories. Some argue that people are anxious and feel threatened by an inflow of new workers. Others highlight the strain that undocumented immigrants place on public services, like schools, hospitals, and jails. Still others emphasize the role of race, arguing that foreigners add to the nation's fears and insecurities. There's some truth to all these explanations, but they aren't quite sufficient.To get a better understanding of what's going on, consider the way immigration's impact is felt. Though its overall effect may be positive, its costs and benefits are distributed unevenly. David Card, an economist at UC Berkeley, notes that the ones who profit most directly from immigrants' low-cost labor are businesses and employers – meatpacking plants in Nebraska, for instance, or agricultural businesses in California. Granted, these producers' savings probably translate into lower prices at the grocery store, but how many consumers make that mental connection at the checkout counter? As for the drawbacks of illegal immigration, these, too, are concentrated. Native low-skilled workers suffer most from the competition of foreign labor. According to a study by George Borjas, a Harvard economist, immigration reduced the wages of American high-school dropouts by 9% between 1980-2000.Among high-skilled, better-educated employees, however, opposition was strongest in states with both high numbers of immigrants and relatively generous social services. What worried them most, in other words, was the?fiscal? 财政的burden of immigration. That conclusion wasreinforced by another finding: that their opposition appeared to soften when that fiscal burden decreased, as occurred with welfare reform in the 1990s, which curbed immigrants' access to certain benefits.The irony is that for all the overexcited debate, the net effect of immigration is minimal. Even for those most acutely affected –say, low-skilled workers, or California residents –the impact isn't all that dramatic. "The unpleasant voices have tended to dominate our perceptions," says Daniel Tichenor, a political science professor at the University of Oregon. "But when all those factors are put together and the economists calculate the numbers, it ends up being a net positive, but a small one." Too bad most people don't realize it.90. What can we learn from the first paragraph?A .Whether immigrants are good or bad for the economy has been puzzling economists.B .The American economy used to thrive on immigration but now it's a different story.C .The consensus among economists is that immigration should not be encouraged.D .The general public thinks differently from most economists on the impact of immigration.91. In what way does the author think ordinary Americans benefit from immigration?A .They can access all kinds of public services.B .They can get consumer goods at lower prices.C .They can mix with people of different cultures.D .They can avoid doing much of the manual labor.92. What is the chief concern of native high-skilled, better-educated employees about the inflow of immigrants?A .It may change the existing social structure.B .It may pose a threat to their economic status.C .It may lead to social instability in the country.D .It may place a great strain on the state budget.93. What is the irony about the debate over immigration?A .Even economists can't reach a consensus about its impact.B .Those who are opposed to it turn out to benefit most from it.C .People are making too big a fuss about something of small impact.D .There is no essential difference between seemingly opposite opinions.Keys: D B D ASection CDirections: Read the following passage carefully. In the passage there are four sentences missing. Choose the best one from the six sentences.ForgivenessTo forgive is a virtue, but no one has ever said it is easy. When someone has deeply hurt you, it can be extremely difficult to let go of your hate. However, forgiveness is possible, and it can be surprisingly beneficial to your physical and mental health. People who forgive show less sadness, anger and stress and more hopefulness, according to a recent research.____1____ Try the following steps:Calm yourself. ____2____ You can take a couple of breaths and think of something that gives you pleasure: a beautiful scene in nature, or someone you love.Don't wait for an apology. Many times the person who hurt you does not intend to apologize. They may have wanted to hurt you or they just don't see things the same way. If you wait for people to apologize, you could be waiting an awfully long time. Keep in mind that forgiveness does not necessarily mean becoming friends again with the person who upset you.Take the control away from your offender(冒犯者). Rethinking about your hurt gives power to the person who causes you pain. Instead of focusing on your wounded feelings, learn to look for the love, beauty and kindness around you.____4____ If you understand your offender, you may realize that he or she was acting out of unawareness, fear, and even love. You may want to write a letter to yourself from your offender's point of view.Don't forget to forgive yourself. ____5____ But it can rob you of your self-confidence if you don't do it.A. Why should you forgive?B. How should you start to forgive?C. Recognize the benefits of forgiveness.D. Try to see things from your offender's angle.E. For some people, forgiving themselves is the biggest challenge.F. To make your anger die away, try a simple stress-management technique.G. Keys: B F D ESection DBased on the following passage and write a summaryFinancial setbacks in the form of pay cuts are having a trickle-down effect(涓滴效应) as the depression persists. Families across America are cutting or even axing kids’ allowance (零用钱) to reflect what’s going on with household finances and the economy as a whole .Some jobless parents are doing it out of necessity .Other parents are using allowance adjustments to teach children about economic realities and how to budget in leaner times.“Try to use relevant news to explain the reasons behind the depression and how it’s hitting home. If they see it obvious in their own allowance, they’ll feel the impact and see how it all ties in, ”says financial consultant Antwone Harris.Any reduction in allowance should be understood in age-appropriate communication, says Dr. Tony Meyer, a child psychiatrist(精神科医生) and medical director of Aurora Psychiatric Hospital. Six to 12-year-olds are mature enough for a frank talk, but don’t set them back with a lot of details. It’s sufficient to say their allowance is lower because Mom and Dad is getting paid less at work ,so there’s less money for the family to spend. With 12 to 18-year-olds, you can broaden the discussion to include the banking crisis and other factors that contributed to the depression, Meyer says. Younger kids have the idea that they’re at the center of things, and adolescents by nature are especially self-concerned . “They’ll think they’re responsible, ”Meyer says.A cut in allowance might seem punishing , so the message that the child is not at fault needs to come across. Depending on the child’s age, “You can also ask them to bring some income by working a job or helping more around the house so Mom or Dad can work more,” he says. Kids can also contribute by means of taking over landscaping services previously done by a paid professional. “You’ll pay lower rates, and the money stays in the family ,”financial。
复旦大学附属中学2018-2019学年高三上学期第三次月考试卷数学含答案

复旦大学附属中学2018-2019学年高三上学期第三次月考试卷数学含答案 班级__________ 座号_____ 姓名__________ 分数__________一、选择题(本大题共12小题,每小题5分,共60分.每小题给出的四个选项中,只有一项是符合题目要求的.)1. 已知函数()f x 的定义域为[],a b ,函数()y f x =的图象如图甲所示,则函数(||)f x 的图象是 图乙中的( )2. 设βα,是两个不同的平面,是一条直线,以下命题正确的是( ) A .若α⊥l ,βα⊥,则β⊂l B .若α//l , βα//,则β⊂l C .若α⊥l ,βα//,则β⊥l D .若α//l ,βα⊥,则β⊥l 3. 由直线与曲线所围成的封闭图形的面积为( )A B1C D4. “3<-b a ”是“圆056222=++-+a y x y x 关于直线b x y 2+=成轴对称图形”的( ) A .充分不必要条件 B .必要不充分条件 C .充分必要条件 D .既不充分也不必要条件【命题意图】本题考查圆的一般方程、圆的几何性质、常用逻辑等知识,有一定的综合性,突出化归能力的考查,属于中等难度.5. 如图,AB 是半圆O 的直径,AB =2,点P 从A 点沿半圆弧运动至B 点,设∠AOP =x ,将动点P 到A ,B两点的距离之和表示为x的函数f(x),则y=f(x)的图象大致为()6.执行如图所示程序框图,若使输出的结果不大于50,则输入的整数k的最大值为()A.4 B.5 C.6 D.77.已知函数,,若,则()A1B2 C3 D-18. 函数21()ln 2f x x x ax =++存在与直线03=-y x 平行的切线,则实数a 的取值范围是( ) A. ),0(+∞ B. )2,(-∞ C. ),2(+∞ D. ]1,(-∞【命题意图】本题考查导数的几何意义、基本不等式等基础知识,意在考查转化与化归的思想和基本运算能力. 9. 在ABC ∆中,内角A ,B ,C 所对的边分别是,,,已知85b c =,2C B =,则cos C =( )A .725B .725- C. 725± D .242510.已知双曲线)0,0(12222>>=-b a by a x 的左、右焦点分别为21F F 、,过2F 的直线交双曲线于Q P ,两点且1PF PQ ⊥,若||||1PF PQ λ=,34125≤≤λ,则双曲线离心率e 的取值范围为( ).A. ]210,1(B. ]537,1(C. ]210,537[ D. ),210[+∞ 第Ⅱ卷(非选择题,共100分)11.4213532,4,25a b c ===,则( )A .b a c <<B .a b c <<C .b c a <<D .c a b <<12.已知2,0()2, 0ax x x f x x x ⎧+>=⎨-≤⎩,若不等式(2)()f x f x -≥对一切x R ∈恒成立,则a 的最大值为( )A .716-B .916-C .12-D .14-二、填空题(本大题共4小题,每小题5分,共20分.把答案填写在横线上)13.函数()y f x =图象上不同两点()()1122,,,A x y B x y 处的切线的斜率分别是A B k k ,,规定(),A B k k A B ABϕ-=(AB 为线段AB 的长度)叫做曲线()y f x =在点A 与点B 之间的“弯曲度”,给出以下命题:①函数321y x x =-+图象上两点A 与B 的横坐标分别为1和2,则(),A B ϕ> ②存在这样的函数,图象上任意两点之间的“弯曲度”为常数; ③设点A,B 是抛物线21y x =+上不同的两点,则(),2A B ϕ≤;④设曲线xy e =(e 是自然对数的底数)上不同两点()()112212,,,,1A x y B x y x x -=且,若(),1t A B ϕ⋅<恒成立,则实数t 的取值范围是(),1-∞.其中真命题的序号为________.(将所有真命题的序号都填上) 14.设集合 {}{}22|27150,|0A x x x B x x ax b =+-<=++≤,满足A B =∅,{}|52A B x x =-<≤,求实数a =__________.15.在ABC ∆中,90C ∠=,2BC =,M 为BC 的中点,1sin 3BAM ∠=,则AC 的长为_________. 16.数列{ a n }中,a 1=2,a n +1=a n +c (c 为常数),{a n }的前10项和为S 10=200,则c =________.三、解答题(本大共6小题,共70分。
2018年上海师范大学附属中学高一物理月考试卷含解析

2018年上海师范大学附属中学高一物理月考试卷含解析一、选择题:本题共5小题,每小题3分,共计15分.每小题只有一个选项符合题意1. A、B、C三球大小相同,A为实心木球,B为实心铁球,C是质量与A一样的空心铁球,三球同时从同一高度由静止落下,若受到的阻力相同,则()A.B球下落的加速度最大 B.C球下落的加速度最大C.A球下落的加速度最大 D.B球落地时间最短,A、C球同落地参考答案:AD2. 如图示质量分别为m、M 的A、B 两木块叠放在光滑的水平桌面上,A与B的动摩擦因数为μ,用一水平拉力F 作用于B,使A和B 一起以加速度 a向右做匀加速运动,则在这个过程中,木块A受到的摩擦力大小是()A. μmgB. maC. mF/(M+m )D.F - Ma参考答案:CBD3. 一物体在t=0时刻以6 m/s的初速度从斜面底部向上做加速度大小为2 m/s2的匀减速运动,又以同样大小的加速度沿斜面滑下,则经过多长时间物体位移的大小为5 m?()参考答案:AC4. 下列几组物理量中,全部为矢量的一组是A.位移、时间、速度 B.速度、质量、加速度C.加速度、位移、速度 D.路程、时间、位移参考答案:C5. (单选)物体A的加速度为3 m/s2,物体B的加速度为-5 m/s2,下列说法中,正确的是()A.物体A的加速度比物体B的加速度大B.物体B的速度变化比物体A的速度变化快C.物体A的速度一定在增加D.物体B的速度一定在减小参考答案:B二、填空题:本题共8小题,每小题2分,共计16分6. 用水平推力是200牛的力,将一木箱在水平方向上匀速地椎动了5米,水平推力所做的功是_______ J。
用500牛顿的举力,将杠铃匀速地举高,若所做的功为250焦耳,那么举高的高度是__________m。
参考答案:1000 0.57. 为测定滑块沿斜面下滑的加速度,在滑块上安装了宽度为d=1.00㎝的遮光板.滑块由静止释放后依次通过固定在斜面上的两个光电门甲和乙,用光电计时器记录了遮光板通过光电门甲的时间为△t1=0.10s,通过光电门乙的时间为△t2=0.04s,遮光板从开始遮住光电门甲到开始遮住光电门乙的时间间隔为△t=3.00s.由此可得滑块的加速度为_______ m/s2.参考答案:8. 如图甲所示,是研究小车做匀变速直线运动的实验装置.(1)某同学打出了一条纸带,已知计时器打点的时间间隔为0.02s,他按打点先后顺序每5个点取1个计数点,得到了O、A、B、C、D等几个计数点,如图乙所示,则相邻两个计数点之间的时间间隔为s.(2)电火花计时器使用的电源是.A.220V交流电源B.220V直流电源C.6V以下交流电源D.6V以下直流电源(3)用刻度尺量得OA=1.50cm,AB=1.90cm,BC=2.30cm,CD=2.70cm.由此可知,打C点时小车的速度大小为m/s.加速度大小为m/s2(4)如果当时电网中交变电源的电压变成210V,打计时点的周期不变,而做实验的同学并不知道,那么加速度的测量值将.(填“偏大”、“偏小”或“不变”)参考答案:(1)0.1 (2)A (3)0.25 0.40 (3)不变【考点】探究小车速度随时间变化的规律.【分析】正确解答本题需要掌握:了解打点计时器的构造、工作原理、工作特点等,比如工作电压、打点周期等,掌握基本仪器的使用,能够正确的使用打点计时器;根据某段时间内的平均速度等于中间时刻的瞬时速度求出打C点的瞬时速度,根据连续相等时间内的位移之差是一恒量求出小车的加速度;打点计时器的打点频率是与交流电源的频率相同,所以即使电源电压降低也不改变打点计时器打点周期.【解答】解:(1)打点计时器的打点的时间间隔为0.02s,由于每五个点取一个计数点,则相邻计数点之间的时间间隔为0.1s,(2)电火花打点计时器是一种使用交流电源的计时仪器,实验室中的电火花计时器的工作电压是220V,故选A(3)C点的瞬时速度等于BD段的平均速度,则==0.25m/s.因为连续相等时间内的位移之差△x=0.40cm,根据△x=aT2得,加速度a=(4)电网电压变化,并不改变打点的周期,故测量值与实际值相比不变.故答案为:(1)0.1 (2)A (3)0.25 0.40 (3)不变9. 如图所示,质量均匀分布的长方体,高为a,宽为b,放在倾角可以调节的长木板上,长方体与长木板间的动摩擦因数为μ,使倾角θ从零逐渐增大,当,μ______时,长方体先发生滑动;而当μ______时,则长方体先发生倾倒.参考答案:,>10. (3分)一架飞机起飞时在跑道上加速滑行,已知飞机的质量是1.0×l04kg,所受的合力为2.0×103N,这架飞机滑行的加速度为_____________m/s2。
2018-2019学年上海市复旦附中高二上学期10月月考数学试题(解析版)

2018-2019学年上海市复旦附中高二上学期10月月考数学试题一、单选题1.在数列{}n a 中,111111234212n a n n=-+-+⋅⋅⋅+--,则1k a +等于( ) A .121k a k ++ B .112224k a k k +-++ C .122k a k ++D .112122k a k k +-++ 【答案】D【解析】试题分析111111234212n a n n =-+-+⋅⋅⋅+--,1112a ∴=-,21111234a =-+-,⋅⋅⋅,n a =1111234-+-+⋅⋅⋅11212n n +--,111111234212k a k k=-+-+⋅⋅⋅+=-, 1112122k k a a k k +∴=+-++,故选D . 【考点】数列通项及归纳推理.【思路点晴】本题主要考查数列通项的基本含意,属于难题,解题时一定要注意111111234212n a n n=-+-+⋅⋅⋅+--的三个特点:(1)正负间隔出现;(2)分母成公差为1等差数列;(3)n 每增加“1”,n a 就增加两项.解决本题是利用特点(3)可知1k a +在k a 的基础上多出了两项得出结论的.2.数列{}n a 的通项公式是1(1)2nn a +-=,则此数列( )A.有极限,其值是整数B.有极限,其值是分数C.有两个极限D.lim n n a →∞不存在 【答案】D【解析】通过数列的通项公式,判断数列的特征,然后求解即可. 【详解】数列{a n }的通项公式是a n 1(1)2n+-=,可得数列是0,1,0,1,0,1…0,1…, 可知数列是摆动数列,所以数列没有极限. 故选:D . 【点睛】本题考查数列的通项公式的应用,数列极限的判断,考查计算能力 3.已知|b |=3,如果a 在b 上的投影是32-,那么a ⋅b 为( ) A.92-B.92 C.2D.12【答案】A【解析】由题得||a b b ⋅=﹣32,化简即得解.【详解】 依题意得||a b b ⋅=﹣32,∴a b ⋅=﹣32×3=﹣92. 故选:A . 【点睛】本题主要考查向量的投影,意在考查学生对该知识的理解掌握水平.4.如图,正方形ABCD 中,M 是BC 的中点,若AC AM BD λμ=+,则λμ+=( )A .43B .53C .158D .2【答案】B【解析】以A 为坐标原点建立平面直角坐标系,设正方形边长为1,利用平面向量的坐标运算建立有关λ、μ的方程组,求出这两个量的值,可得出λμ+的值. 【详解】以A 为坐标原点建立平面直角坐标系,设正方形边长为1,由此,()()11,1,1,,1,12AC AM BD ⎛⎫===- ⎪⎝⎭uuu r uu u u r uur ,故11,12λμλμ=-=+,解得415,,333λμλμ==+=.故选:B. 【点睛】本题考查平面向量的线性运算,考查平面向量的基底表示,解题时也可以利用坐标法来求解,考查运算求解能力,属于中等题.二、填空题5.在等差数列{a n }中,已知a 15=10,a 45=90,a 60=_____. 【答案】130【解析】设等差数列{a n }的公差为d ,先求出d,再利用通项求a 60得解. 【详解】设等差数列{a n }的公差为d , 则d =45154515a a -=-83,故a 60=a 45+(60﹣45)d =90+15×83=130,故答案为:130 【点睛】本题主要考查等差数列的基本量的计算和通项的应用,意在考查学生对这些知识的理解掌握水平.6.在等比数列{a n }中,已知a 1=1,公比q ∈R ,且q ≠1,a n =a 1a 2a 3a 4a 5,则n =_____ 【答案】11【解析】直接利用等比数列的通项化简得10111n a a q a ==,即得解.【详解】∵a 1=1,公比为q ,且q ≠1,a n =a 1a 2a 3a 4a 5,∴51234101111n a a qa q a +++===, ∴n =11. 故答案为:11 【点睛】本题主要考查等比数列的通项的应用,意在考查学生对该知识的理解掌握水平.7.1123lim 23n nn n n ++→∞-+=_____【答案】﹣13【解析】化简得1123lim 23n nn n n ++→∞-+=2213lim 233nn n →∞⎛⎫- ⎪⎝⎭⎛⎫+ ⎪⎝⎭,再求极限得解. 【详解】1123lim 23n nn n n ++→∞-+=2213lim 233nn n →∞⎛⎫- ⎪⎝⎭⎛⎫+ ⎪⎝⎭=0103-+=13-. 故答案为:13-. 【点睛】本题主要考查数列极限的计算,意在考查学生对该知识的理解掌握水平. 8.与向量a =(﹣3,4)共线的单位向量0a u u r=_____【答案】(﹣35,45)或(35,﹣45) 【解析】根据题意得a r=5,再利用与a 共线的单位向量公式得解.【详解】根据题意得a r=5,∴同向单位向量||a a =15(﹣3,4)=(35-,45),同理反向单位向量(35,﹣45). 故答案为:(﹣35,45)或(35,﹣45)【点睛】本题主要考查向量的模的计算,考查共线向量的求法,意在考查学生对这些知识的理解掌握水平.9.已知点P 分线段P 1P 2的比为﹣2,若P 1(1,2),P 2(3,﹣1),则点P 的坐标为_____ 【答案】(5,﹣4)【解析】由题得λ=﹣2,再利用定比分点的坐标公式求解. 【详解】点P 分线段P 1P 2的比为﹣2,所以λ=﹣2. 根据分点的坐标公式: x =121x x λλ++=123512-⨯=-,124411y y y λλ+===-+-, 所以点P 的坐标为(5,﹣4). 故答案为:(5,﹣4) 【点睛】本题主要考查定比分点的坐标的求法,意在考查学生对该知识的理解掌握水平. 10.已知A (0,1)、B (1,0)、C (3,k ),若∠ABC 为钝角,则k 的取值范围为_____ 【答案】(﹣∞,﹣2)∪(﹣2,2)【解析】由题得BA ⋅BC <0且BA 、BC 不平行,解不等式组即得解. 【详解】∵A (0,1)、B (1,0)、C (3,k ), ∴BA =(﹣1,1)且BC =(2,k ).∵∠ABC 为钝角,∴BA ⋅BC <0且BA 、BC 不平行, 可得2020k k -+<⎧⎨--≠⎩,解之得k <2且k ≠﹣2.则k 的取值范围为(﹣∞,﹣2)∪(﹣2,2) 故答案为:(﹣∞,﹣2)∪(﹣2,2) 【点睛】本题主要考查向量的坐标运算和夹角的计算,考查共线向量的坐标运算,意在考查学生对这些知识的理解掌握水平和分析推理能力.11.若数列100,50,20,…的各项加上某个数后恰为一等比数列,则此时等比数列的各项和为_____ 【答案】6252【解析】设加上的数为a ,所以(50+a )2=(100+a )(20+a ),解得a =25.再求公比q 和等比数列的各项和. 【详解】根据题意,(50+a )2=(100+a )(20+a );解得a =25.∴50253100255q +==+,∴312515125625lim lim322155n nn n S →∞→∞⎡⎤⎛⎫-⎢⎥⎪⎝⎭⎢⎥⎣⎦===-. 故答案为:6252【点睛】本题主要考查等比数列基本量的计算,考查等比数列各项和的计算,意在考查学生对这些知识的理解掌握水平.12.(数学文卷·2017届北京市朝阳区高三上学期期中考试第14题) 《九章算术》是我国古代一部重要的数学著作.书中有如下问题:“今有良马与驽马发长安,至齐。
2018届上海复旦大学附属中学高三上学期期中考试文科数学试题及答案 精品

复旦大学附属中学2018学年第一学期高三年级数学期中考试试卷(文科)(考试时间120分钟,总分150分,所有答案请写在答题纸上)一、填空题(每题4分,共56分)1、若集合错误!未找到引用源。
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为4、甲校有3600名学生,乙校有5400名学生,丙校有1800名学生.为统计三校学生某方面的情况,计划采用分层抽样法,抽取一个样本容量为90人的样本,则应在甲校抽取的学生数是___________.的二项展开式中,含错误!未找5、错误!未找到引用源。
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的值为_______.10、数列错误!未找到引用源。
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.11、甲、乙两人参加法律知识竞赛,共有10道不同的题目,其中选择题有6道,判断题4道,甲、乙两人依次各抽一题(不能抽同一题).则甲、乙中至少有一人抽到选择题的概率等于.(用数字作答)12、已知等差数列错误!未找到引用源。
兰生复旦2018年七下英语月考试卷

兰生复旦2018年第二学期初一月考试卷I. Choose the best answer(选择最恰当的答案)(共40分)1. Jack has made up his mind to live in the country. The underlined part means 【A】agreed【B】promised【C】decided【D】hesitated2. Jack used to work on farm, ?【A】didn't he【B】doesn't he【C】did he【D】does he3. My grandpa lives ,but he never feels .【A】alone, lonely.【B】alone, alone【C】lonely, lonely【D】lonely, alone4. It is essential that you keep the water in the aquarium at the right temperature. The underlined part means .【A】possible【B】necessary【C】important【D】dependent5. We will have less and less space for parking we think of better ways. 【A】since【B】if【C】because【D】unless6. When they got to the airport, the fight off.【A】took【B】has taken【C】takes【D】had taken7. My parents about 30,000 yuan for my college education in UK each year.【A】spend【B】take【C】pay【D】cost8. Young Jimmy painting two years ago, but soon he lost interest in it.【A】took up【B】took off【C】took out【D】took away9. The young man has denied the motorcycle near the Wal-Mart store【A】steal【B】to steal【C】stealing【D】stole10. Don’t worry. I am sure you will your classmates if you are kind andfriendly to them.【A】get on with【B】catch up with【C】keep up with【D】agree with11. The people there did not allow them to set up a factory pollute the water in the river 【A】not so as to【B】so as not to【C】in order to12. Sorry, I'm late for school. The traffic is too heavy..【A】That's right【B】That’s all right【C】You’re careless【D】Why are you so lazy?13. will the visitors arrive at our school?【A】How long【B】How soon【C】How much【D】How far14. The doctor gave some on how to improve my physical health【A】advice【B】suggestion【C】message【D】medicine15. When the 632-meter Shanghai Tower ,it will be the second tallestbuilding in the world【A】finishes【B】finished【C】will finish【D】finish16. Mary’s father rarely smokes in public places, __________?【A】does he【B】doesn’t he【C】is he【D】isn’t he17. China aims to _______ faster and cheaper Internet services during the coming four years.【A】provide【C】prescibe【D】protect18. important memory is! We cannot work well without it.【A】What【B】What a【C】How【D】How a19. --Sorry, I’m late for school. The traffic is too heavy.--___________.【A】That’s right.【B】That’s all right.【C】You’re careless.【D】Why are you so lazy?20.--I’m sorry that I f orgot all about the meeting.--___________.【A】That’s all right.【B】The same to you.【C】You’re welcome.【D】Of course not.Keys: CAABD DCACA BBBAA AACCAII. Complete the sentences with the given words in their proper forms (20’)1. A good detective never jumps to ______(conclude)2. If you want to_____ something, you should make a picture in your mind(memory)3. Sandy likes drawing very much and she believes it can ______ her whole life. (rich)4. The students are doing experiments in the lab with some new______.(chemistry)5.All the guests are pleased with the restaurant for its quality _____.(serve)6. Tyron went to live in Australia with his family in his ____(fifty)7. May will______ in losing weight with the doctor's helpful instructions (success)8. The______of his daughter in the traffic accident made him very sad.(die)9. The article will probably be about how to ____ comic strips(product)10. He has _____ for his carelessness several times, but she still seems unhappy.(apology) Key:conclusions memorize enrich chemicals service fifties succeed death produce apologized III. Complete the sentences with the given words in their proper forms (10’)(1).He won' t believe it if he doesn' t see it with his own eyes.(保持原句意思)He won't believe it _______ he _______ it with his own eyes.(2).Grandma opened the window in order to breathe the fresh air. (保持原句意思) Grandma opened the window ________ ________ she could breathe the fresh air.(3).The pop singing star' s set up his own charity to help those in need. (对划线部分划线)_________ _________ the pop singing star set up to help those in need?(4).At the Spring Festival, we hang many colored lights from the building (改为被动语态) At the Spring Festival, many colored lights ________ ________ from the building.(5).me,briefly,explain,to,the touch pad,how,let,use(连词成句).key:(1)unless sees(2) so that(3) What has(4)are hung(5) Let me briefly explain how to use the touch pad.IV Cloze Test(30‘)(A)While you might not recognize the name Jacob Tremblay, you may have seen him-in the movie called Wonder(《奇迹男孩》。
上海市兰生复旦2018-2019学年第一学期九年级 9月份月考数学 试题

2018学年第一学期兰生复旦阶段测试九年级数学试卷 2018年9月(满分:100分 时间:90分钟)一、填空:(每小题3分,共42分)1. 已知两个相似三角形的相似比为2:3,其中较小三角形的面积是36,那么较大三角形的面积为 。
2. 方程()002≠=++a c bx ax 的两根为-5和3,那么抛物线()02≠++=a c bx ax y 的对称轴是直线 。
3. 一张比例尺为200:1的设计图纸上,有一个零件的底面积是4002cm ,则这个零件的实际底面积是 2mm 。
4. 将抛物线向左平移3个单位,再向下平移5个单位,所得到的抛物线为222+-=x x y ,则原抛物线的函数解析式为 。
5. 如果二次函数()1222+-=++=x y c bx x y 配方后为,那么c 的值为 。
6. 如图,点M 是△ABC 的角平分线AT 的中点,点D 、E 分别在AB 、AC 边上,线段DE 过点M ,且∠ADE=∠C ,那么△ADE 和△ABC 的面积比是 。
(第6题图)7. 如图,△ABC 是一块锐角三角形铁片,边BC=120毫米,高AH=80毫米,要把它加工成长与宽的比为1:2的长方形零件,使长方形的一边在BC 上,其余两个顶点分别在AB 、AC 上,则长方形零件的面积是 平方毫米。
(第7题图)8. 梯形ABCD 中,AD ∥BC,且BC=3AD,E,F 分别在腰AB,CD 上,且AE :EB=DF :FC=2:3,则BCEF=_________.9. 正方形ABCD 边长为4,M 、N 分别是BC 、CD 上的两个动点,当M 点在BC 上运动时,保持AM 和MN 垂直,若要使Rt △ABM ∽Rt △AMN ,则BM 的值为_________.10.若关于x 的函数()()a x a x a y 45422+---=的图象与坐标轴有两个交点,则a 的值为_________.11.如图:在直角三角形ABC 中,∠ABC=90º,∠C=30º,BD 是斜边AC 上的高,过D 作DE 垂直于BC 于点E ,F 在线段CD 上且满足FE=FC ,联结AE ,BD 交点为G ,则图中相似三角形共有_________对.12.如图,DE∥BC,且过△ABC的重心,分别与AB、AC交于点D. E,点P是线段DE上一点,CP的延长线交AB于点Q,如果41=DEDP,那么CPEDPQSS∆∆:的值是_________.13.已知△ABC中,AB=AC,BC=1,∠ABC=72∘,1BB平分∠ABC交AC于1B,过1B做21BB∥BC交AB于2B,作32BB平分12BAB∠交AC于3B,过3B作43BB∥BC交AB于4B,则线段43BB的长度为_________.14.如图,抛物线292++=bx x y 与y 轴相交于点A,与过点A 平行于x 轴的直线相交于点B(点B 在第一象限).抛物线的顶点C 在直线OB 上,对称轴与x 轴相交于点D. 平移抛物线,使其经过点A. D ,则平移后的抛物线的解析式为_________.15已知二次函数的图像如图所示,那么a 、b 、c 的符号为( )A.a>0,b<0,c<0B.a>0,b>0,c<0C.a<0,b<0,c>0D.a<0,b>0,c>016下列各命题中,真命题的个数是( )① 两边成比例的两个直角三角形相似;② 两边对应成比例且有一个角相等的两个三角形相似; ③ 两边及其中一边上的高对应成比例的两个三角形相似;④ 三条直线被两条直线所截,截得的对应线段成比例,那么这三条直线平行; ⑤ 如果一条直线截三角形两边的延长线,所得对应线段成比例,那么这条直线平行于三角形的第三边;A.0个B.1个C.2个D.3个17如果一个三角形保持形状不变,但周长扩大为原来的4倍,那么这个三角形的面积扩大为原来的()A.2倍B.4倍C.8倍D.16倍18已知P,Q是线段AB的两个黄金分割点,且AB=10,则PQ长为()A.5(-1)B.5(+1)C.10(-2)D.5(3-)19直角梯形ABCD中,AD//BC,∠A=90°,AD=2,BC=3,AB=7,点P是线段AB上一个动点,要使以A、P、D为顶点的三角形与△BPC相似,P的位置有()A.1个B.2个C.3个D.4个三、解答题(6+7+7+7+8+8=43分)20、已知抛物线与x轴交于点(—3,0)、(5,0),与y轴交于(0,1),求抛物线的函数解析式。
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2018届浦东复旦附中分校高三月考(一)英语试卷2017,10,10II. 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, used one word that best fits each blank.Documentary in Japan Reveals Dark HistoryEvery September 2 -- a day marking Japan’s surrender in the War of Aggression Against China -- is a sensitive day for China and Japan. It has become routine (21)______ on the day Japan’s prime minister gives an empty speech and China urges Japan to reflect upon the history. This year, however, Japanese broadcaster NHK’s independent voice won universal praise in China.Last month, NHK, Japan’s national public broadcasting organization, broadcast a documentary titled The Truth of Unit 731. Unit 731 was a secret chemical warfare development of unit of the Japanese military during WWII. Set up around 1936 in Harbin, it conducted cruel experiments (22)______ live human beings to test chemical weapons. Most of the victims were Chinese, some of (23)______ were children. The unit is a subject seldom touched in Japan. The authorities have been eager to cover up that part of history. The documentary, however, reveals the cold-blooded truth to the public.“I have seen no one who left the camp alive after (24)______(experiment) on,” said an officer of Unit 731. Another officer told NHK that (25)______(cover) up their crimes, the unit killed all the people who survived their experiments. “The war was so cruel... it was something that (26)______ never have happened,” he said with tears in eyes in the documentary.In China, Unit 731 has had such a bad reputation that even kids in kindergarten(27)______(hear) about it. The documentary immediately caught Chinese audience’s attention(28)______ was widely discussed on China’s social media. Many netizens praised NHK’s courage and called it a “station with a conscience” for releasing t he documentary at such a sensitive time.When (29)______(ask) about China’s opinion on the documentary, the Foreign Ministry spokesperson replied that the country appreciates the courage of (30)______ who chose to reveal the historical truth. Meanwhile, she urged the Japanese government again to deeply reflect upon the history of aggression by the Japanese military.21. that22.on23.whom24.being experimented 25. to cover26.should27.have heard 28.and 29.asked30.thoseSection B (10%)Directions: 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.Alibaba Group Holding Ltd, China's e-commerce giant, on Friday set another sales record for Singles Day, the world's biggest online shopping event, reporting that about 120.7 billion yuan ($17.79 billion) was spent in 24 hours.Alibaba, which ___31___ the annual shopping festival on November 11, 2009, said that this year's sales far exceeded last year's 92.1 billion yuan in transactions (交易).Jack Ma, ___32___ chairman of Alibaba Group, said he was very satisfied with this year's sales. Ma made his comments in Shenzhen, where Alibaba held an event and invited 600 media from China and abroad to witness the real-time transactions of ___33___ sold on its platforms.Similar to Black Friday and Cyber Monday in the US and the UK, Singles Day has grown into the world's largest online shopping event with the participation of not only e-commerce players, but also brick-and-mortar retailers (零售). Alibaba's sales ___34___ accounts for a large quantity of the total sales on Singles Day.The event has become a celebration of ___35___ for urban residents and more and more for those who live in rural China.The rising penetration(渗透) rate of smartphones in China has ___36___ the growth in Singles Day. About 82 percent of this year's transactions were ___37___ using mobile devices, a ___38___ increase from 68.67 percent recorded last year, according to Alibaba.The increasingly convenient Internet consumer-finance services in China have helped more people to shrug off ___39___ about shopping as they can afford more purchases by borrowing small loans.By 5 pm on Friday, about 21 percent of the Nov 11 shopping purchases were paid by Ant Check Later, an online consumer finance service ___40___ by Ant Financial Services Group. 31. J.created 32.G.executive33. A.merchandize 34. H. volume35. I. consumption36.C. fueled 37. B. completed 38. E. significant39. D. concerns 40. K. providedIII. Reading Comprehension (45%)Section A(15%)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.You already know that colors can suggest a mood or attitude, but do you know that color is a ___41___ that can persuade us to buy things? According to some researches, color can be up to 85 percent of the reason we ___42___ to purchase something. Smart marketers know: Color ___43___!“Right” colors make products “better”Colors ___44___ how we feel about the food we eat. For example, orange juice with ___45___ orange color was preferred over naturally colored orange juice and was thought to be sweeter.In the case of ___46___, color also plays a role. Have you ever noticed that pink is often used as the color of face creams? That’s for a good reason. In a research study, some women were given pink and white face creams, which were ___47___ except for their color. One hundred percent of the women said that the pink face creams were more effective and ___48___ on sensitive skin.More colorful, more personalizedWe need not only good quality products, but personalized ones. This urges manufacturers to make their products more and more “colorful”.Take M&M’s Milk Chocolate Candies for example. Having a packet of M&M’s candies in ___49___, choosing which ones to eat first according to their colors -- many of us probably have had such experience. A variety of colors is the ___50___ of the classic candies. Now they have come wit h even more custom colors that will be sure to “___51___ in your mouth, not in your hand!” Gold, silver, pink and many other colors are available to choose from. Eating such candies must be a ___52___ “sweet” experience.Another successful color marketing example is Apple’s iPod. Does Apple have ___53___ MP3 technology? Maybe, but that’s not the point, marketing experts say. What makes the iPod so successful is “the ___54___ that makes it easy for people to express themselves through color choices.” The fou rth generation of iPod Nano features nine colors -- pink, red, orange, yellow and so on. Color, as a personal statement, adds a touch of ___55___ to the MP3 player.41. A. sign B. therapy C. tool D. phenomenon42. A. decide B. cause C. refuse D. swear43. A. advertises B. sells C. claims D. exclaims44. A. reflect B. recall C. influence D. stimulate45. A. enhanced B. developed C. strengthened D. addicted46. A. fashion B. cosmetics C. physiology D. psychology47. A. ideal B. smooth C. identical D. ripe48. A. efficient B. influential C. practical D. milder49. A. mind B. mouth C. hand D. pocket50. A. signature B. taste C. innovation D. signal51. A. swallow B. digest C. chew D. melt52. A. specially B. particularly C. normally D. unusually53. A. inferior B. superior C. priority D. supportive54. A. design B. color C. content D. system55. A. humanity B. popularity C. individuality D. activity41---45 CABCA 46---50 BCDCA 51---55 DBBACSection 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 the one that fits best according to the information given in the passage you have just read.(A)A Conversation between Mr. Wordy and Mr. TerseT:Don’t you think we should express ourselves in English better and us e words more economically?W: Yes. It is an unrealistic illusion to separate such principles from language ; they should be united as one.T:Well, you should practice what you think is right. Why didn’t you just leave out the word “unrealistic”? You can’t have a “realistic illusion”, can you? And you should have left out “as one”. You can’t be united “as two”. To unite means to become one. You’re always making that sort of mistake.W:That’s a groundless fabrication (捏造).T: There you go again. A fabrication is a statement with no foundation. If it’s not groundless, it’s not a fabrication.W:I really don’t see the important significance of all these criticisms of yours.T:Well, you certainly can’t see the “unimportant significance” of them. If a thing’s significant it’s important, and if it’s important it’s significant. What’s the point of saying “ important significance”? It’s about the same as “important importance”.W: If you could just stop interrupting me all the time I’d tell you about the meeting I’ve just beento.T: Please do.W: Well, the speaker just came to our country not long ago.T: Naturally.W: What do you mean naturally?T: If he just came it was not long ago.W: As I was just saying when I was so rudely interrupted: the speaker arrived here after a long journey of 5,000 miles.T:He couldn’t very well have made a “short journey of 5,000 miles”, could he? Unless he was a spaceman.W: The hall was packed full and the audience shouted slogans loudly.T:It couldn’t be “packed empty”, could it? And they couldn’t “shout quietly”.W: He said that the imperialists had been bullying his people arbitrarily (专横地).T:You wouldn’t expect them “to bully with reason and restraint”.W: But they have been openly exposed.T:They could hardly be “exposed secretly”.W: The people hate the imperialists very much.T:You can’t “hate anyone slightly”.W: And the peopl e’s resistance movement has powerful strength.T:I never heard of “powerless strength”.W: And the imperialists will share the same fate as all reactionaries.T:They couldn’t “share a different fate”.W:I suppose they couldn’t. I’m beginning to understa nd your idea about being economical in the use of words. I shall try to master it well.T: Good. But first let me point out that you can’t master anything badly”.56.Mr. Wordy likes to use ________ while Mr. Terse ________.A. long words, likes to use short wordsB. too many words, hates thatC. big words, uses small wordsD. complex words, important expressions57. Mr. Terse ________ Mr Wordy by saying “There you go again”.A. hurtB. stoppedC. warnedD. advised58. Which of the following statements is NOT TURE?A. To a spaceman, 5,000 miles is a short distance.B. Mr. Terse believes one can speak English better if he speaks economically.C. It is meaningless to add “important” to “significance”.D. Mr. Terse interrupted Mr. Wordy purposefully.56---58 BCD(B)Becoming a teacher is one of the best ways to make a difference in the life of a child and even older students. Here are some great scholarships and grant opportunities to get the ball rolling on your dreams of becoming a teacher.Straightforward Teacher ProgramThis is one of the most popular and unique scholarships available for students working towards becoming teachers. The foundation offers their scholarships every three months asopposed to each year. During each payment, four students receive a $2,000 scholarship.Prezell Robinson Scholarship ProgramWhile this scholarship is available only to students in the state of North Carolina, it is so incredibly helpful that many students choose to study in the state for the only purpose of receiving it. It is offered to college students who come from low-income families that are interested in pursuing a long term career in education at any level.New York State Scholarship ProgramOfficials in the state of New York founded this program to award students who want to give back to their community through their ability to teach. The catch for this scholarship is that the students must be pursuing a teaching career in mathematics or science at the secondary level.Also, because the program was designed to improve the education system in New York, the candidates must sign a service contract agreeing to work full time within the state for at least five years after graduation.Coca-Cola ScholarshipsYou may have many opportunities for grants and scholarships through The Coca Cola Foundation. There is the Coca Cola Teaching Foundation that will provide free money for students pursuing an education in the teaching field. Students who maintain an outstanding scholastic record have chances to be awarded special scholarships.Funds For TeachersNot all scholarships or grants are for students entering or already in college. The Funds for Teachers scholarships are for graduates who are already working in the field, but want to improve their possibilities, skills and education in an effort to increase their ability to teach the students that cross their path more effectively. Teachers in Florida are applicable no matter where they teach or what subject they specialize in.59. How many students get their scholarships each year according to the Straightforward TeacherProgram?A. FourB. SixC. EightD. Sixteen60. The reason why many students choose to study in the state of North Carolina is that ________.A. They can pursue a long term career in educationB. There are some good universities in North CarolinaC. They can receive Prezell Robinson ScholarshipsD. They can go to college more easily.61. Which of the following is TRUE according to the passage?A. The students who gain New York Scholarships should offer their services to the city ofNew York for at least five years.B. Coca-Cola Scholarship goes to the student who must be a science or math teacher aftergraduation.C. Prezell Robinson Scholarships are for those whose parents obtain small incomes.D. Besides the Funds for Teachers, the other four scholarships are supplied either to collegestudents or to high school students.62. Who can obtain the chance to get the Funds for Teachers Scholarships?A. The college graduates teaching in Florida.B. The college graduates who are working as teachers.C. The teachers who want to increase their ability.D. The students who graduated with honors and now serve as teachers.59—62 DCCACPolls can provide important guidance for politicians, but there are times when it is foolish and dangerous to rely on a temporarily misinformed public for a political compass. The current debate over Social Security provides one of the most compelling examples in modern history of the pitfalls of poll-driven political strategy.Yesterday two leading Democratic strategists publicly took their party to task for their"just say no" approach to the new President's program. "To say there is no problem simply puts Democrats out of the conversation for the great majority of the country that want political leaders to secure this very important retirement program," they warned, "V oters are looking for reform, change, and new ideas, but Democrats seem stuck in concrete."Stuck, indeed. To be more exact, they are holding their ground and refusing to surrender to a president who is once again manufacturing a "crisis" for a political purpose. And why should they do otherwise, when this strategy is clearly working?Let's start with the facts. According to the new President, Social Security can pay all promised benefits for the next 37 years without any changes at all. Even if nothing were done by 2043, the program would still pay a higher real benefit than what people receive today.And even looking into the future of the 75-year planning period, the shortfall is less than what we fixed in the '50s, '60s, and '80s. In other words, Social Security is financially stronger today than it has been throughout most of its history.So this attack on Social Security has nothing to do with the solvency (偿付能力) of the program. Nonetheless last week, a Quinnipiac University poll found that respondents, by a 49 to 42 percent margin, believed that Social Security would not be able to pay them a benefit when they retire. But this is a ridiculous idea, based completely on misinformation. It is even more far fetched(牵强的)than the notion, which also commanded a majority before the invasion of Iraq, that Saddam Hussein was responsible for the massacre of 9/11.In the case of Social Security, there is no dispute about the facts. There are just a few cheap verbal and accounting tricks that have been used to convince the public that Social Security faces serious problems. These are easily refuted.The same Quinnipiac poll showed that 59 percent of Americans disapprove of the way the president is handling Social Security, with only 28 percent approving. It makes no political sense to pretend that this attack on our nation's most successful and popular government program is actually an attempt to insure its solvency. Even in politics, there are times when honesty is the best policy.63. What can we know about the Democrats, according to the author?A. they want to help secure the retirement program.B. they refuse to admit that the Social Security program has been successful.C. they are making efforts to solve the crisis of the Social Security program.D. they organize polls in order to gain political interests.64. The author raised the example of Saddam Hussein in order to show that ________.A. the invasion of Iraq represented the wills of common people.B. no evidence had come up to prove the relationship between Saddam Hussein and themassacre of 9/11.C. sometimes the public without proper information will draw foolish conclusions.D. it was wrong for the government to rely on the public for important political decisions.65. According to the author, which of the following is correct?A. There is no point in worrying about the solvency of the Social Security program.B. The majority of the public will accept the Social Security program in the near future.C. Only the baby boomers should worry about the future days when they grow old.D.The Democrats attack the Social Security program in order to question its solvency.66. By saying "honesty is the best policy", the author seems to disapprove of _______.A. the Quinnipiac University who organized the poll.B. the present administration who initiated the Social Security program.C. the ill-informed public who worried about their future.D. those Democrats who wanted to gain political interests through this incident.63---66BCADSection 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.“My work is done.” Those words were some of the last penn ed by George Eastman. He included them in his suicide note. They mark an ignoble end to a noble life, the leave taking of a truly great man. The same words could now be said for the company he left behind. Actually, the Eastman Kodak Company is through. It has been mismanaged financially, technologically and competitively. _____67_____ One of America’s bedrock brands is about to disappear, the Kodak moment has passed.But George Eastman is not how he died, and the Eastman Kodak Company is not how it is being killed. Though the ends be needless and premature, they must not be allowed to overshadow the greatness that came before. Few companies have done so much good for so many people, or defined and lifted so profoundly the spirit of a nation and perhaps the world. _____68_____ Kodak served mankind through entertainment, science, national defense and the stockpilingof family memories. Kodak took us to the top of Mount Suribachi and to the Sea of Tranquility. It introduced us to the merry old Land of Oz and to stars from Charlie Chaplin to John Wayne, and Elizabeth Taylor to Tom Hanks. _____69_____ When that sailor kissed the nurse, and when the spy planes saw missiles in Cuba, Kodak was the eyes of a nation. From the deck of the Missouri to the grandeur of Monument Valley, Kodak took us there. Virtually every significant image of the 20th Century is a gift to generation from the Eastman Kodak Company. _____70_____ Yes, there were photographers, and for relatively large sums of money they would take unnatural pictures in studios and formal settings. But most people couldn’t afford photographs, and so all they had to remember distant loved ones, or earlier times of their lives, was memory. Children could not know what their parents had looked like as young people, grandparents far away might never learn what their grandchildren looked like. Eastman Kodak allowed memory to move from the uncertainty of recollection, to the permanence of a photograph. But it wasn’t just people whose features were savable; it was events, the precious times that families cherish. The Kodak moment, was humanity’s moment.67---70 DFACPossible versionSample 1:Despite the advanced life we have, several problems still bother us. Land, noise, air and water pollution is threatening our health; population explosion causes resource exploitation, starvation and diseases; atomic bomb threatens human civilization; worsening relationships and values lead to isolation and loneliness. The earth being the only home to us and future generations, it’s urgent to solve those problems. (60 words)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.In the new century, human beings will be filled with hope and live a more advanced life. However, man will also have to face some problems that will rob human beings of their existence.First of all, pollution of all forms such as land pollution, noise pollution, air pollution and water pollution are worsening with each passing day. People complain all over the world it is becoming harder to breathe and water is turning undrinkable. Also forests are being felled at a very fast rate. The pollutions are getting so terrible that in s ome countries we can’t find clean rivers and white clouds in the sky!Additionally, the explosion of population in some parts of the world is showing its terrible results. Human beings will have over used the earth’s resources, and people will run a high r isk of starvation and diseases resulting from overcrowding. In the end, man would be forced out of the earth if the present trend were not reversed.What’s more, in the past century we had many disastrous wars. But there is still potential that the atomic bomb will be used by some politicians in order to keep regional hegemony. If it shouldhappen, the exp1osion could easily lead to the destruction of civilization.More seriously, the depersonalization of human relationships and the weakening of spiritual values are worsening due to the stress caused by the busy schedules and the extreme pursuit of money. This will further contribute to man’s isolation and loneliness.Apparently, with all these problems facing human beings, it seems to be overwhelmingly urgent to conquer them one by one because we have only one earth and it is our home. In the new century, we must try our best to heal the world and make it a better place for you, for me and for the children who will come to this world.(312 WORDS)Sample 2:Although our life will be promising in the future, it is still threatened by some problems, such as various pollutions, exploded population, potential wars, and the worsening of human relations, which may lead to bad living environment, starvation and diseases, regional inequality, loneliness and even the damage of human civilization. For our future generations, we must conquer them all.(59 words)第II卷(共40分)I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1.我一得到你的医学报告就会立刻告诉你结果的。