2017届上海市黄浦区高考二模试卷 (含答案)
2017年上海市黄浦区高考数学二模试卷(解析版)
2017年上海市黄浦区高考数学二模试卷一、填空题(本大题共有12题,满分54分.其中第1~6题每题满分54分,第7~12题每题满分54分)考生应在答题纸相应编号的空格内直接填写结果.[1.(4分)函数y=的定义域是.2.(4分)若关于x,y的方程组有无数多组解,则实数a=.3.(4分)若“x2﹣2x﹣3>0”是“x<a”的必要不充分条件,则a的最大值为.4.(4分)已知复数z 1=3+4i,z2=t+i(其中i为虚数单位),且是实数,则实数t 等于.5.(4分)若函数(a>0,且a≠1)是R上的减函数,则a的取值范围是.6.(4分)设变量x,y满足约束条件则目标函数z=﹣2x+y的最小值为.7.(5分)已知圆C:(x﹣4)2+(y﹣3)2=4和两点A(﹣m,0),B(m,0)(m>0),若圆C上至少存在一点P,使得∠APB=90°,则m的取值范围是.8.(5分)已知向量,,如果∥,那么的值为.9.(5分)若从正八边形的8个顶点中随机选取3个顶点,则以它们作为顶点的三角形是直角三角形的概率是.10.(5分)若将函数f(x)=的图象向左平移个单位后,所得图象对应的函数为偶函数,则ω的最小值是.11.(5分)三棱锥P﹣ABC满足:AB⊥AC,AB⊥AP,AB=2,AP+AC=4,则该三棱锥的体积V的取值范围是12.(5分)对于数列{a n},若存在正整数T,对于任意正整数n都有a n+T=a n成立,则称数列{a n}是以T为周期的周期数列.设b1=m(0<m<1),对任意正整数n都有若数列{b n}是以5为周期的周期数列,则m的值可以是.(只要求填写满足条件的一个m值即可)二、选择题(本大题共有4题,满分20分.)每题有且只有一个正确答案,考生应在答题纸的相应编号上,将代表答案的小方格涂黑,选对得5分,否则一律得零分.13.(5分)下列函数中,周期为π,且在上为减函数的是()A.B.C.D.14.(5分)如图是一个几何体的三视图,根据图中数据,可得该几何体的表面积是()A.9πB.10πC.11πD.12π15.(5分)已知双曲线=1(a>0,b>0)的右焦点到左顶点的距离等于它到渐近线距离的2倍倍,则其渐近线方程为()A.2x±y=0B.x±2y=0C.4x±3y=0D.3x±4y=0 16.(5分)如图所示,∠BAC=,圆M与AB,AC分别相切于点D,E,AD=1,点P 是圆M及其内部任意一点,且(x,y∈R),则x+y的取值范围是()A.B.C.D.三、解答题(本大题共有5题,满分76分.)解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.17.(14分)如图,在直棱柱ABC﹣A1B1C1中,AA1=AB=AC=2,AB⊥AC,D,E,F分别是A1B1,CC1,BC的中点.(1)求证:AE⊥DF;(2)求AE与平面DEF所成角的大小及点A到平面DEF的距离.18.(14分)在△ABC中,角A,B,C的对边分别为a,b,c,且b cos C,a cos A,c cos B成等差数列.(1)求角A的大小;(2)若,b+c=6,求的值.19.(14分)如果一条信息有n(n>1,n∈N)种可能的情形(各种情形之间互不相容),且这些情形发生的概率分别为p1,p2,…,p n,则称H=f(p1)+f(p2)+…f(p n)(其中f (x)=﹣x log a x,x∈(0,1))为该条信息的信息熵.已知.(1)若某班共有32名学生,通过随机抽签的方式选一名学生参加某项活动,试求“谁被选中”的信息熵的大小;(2)某次比赛共有n位选手(分别记为A1,A2,…,A n)参加,若当k=1,2,…,n﹣1时,选手A k获得冠军的概率为2﹣k,求“谁获得冠军”的信息熵H关于n的表达式.20.(16分)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.(18分)若函数f(x)满足:对于任意正数s,t,都有f(s)>0,f(t)>0,且f(s)+f(t)<f(s+t),则称函数f(x)为“L函数”.(1)试判断函数与是否是“L函数”;(2)若函数g(x)=3x﹣1+a(3﹣x﹣1)为“L函数”,求实数a的取值范围;(3)若函数f(x)为“L函数”,且f(1)=1,求证:对任意x∈(2k﹣1,2k)(k∈N*),都有.2017年上海市黄浦区高考数学二模试卷参考答案与试题解析一、填空题(本大题共有12题,满分54分.其中第1~6题每题满分54分,第7~12题每题满分54分)考生应在答题纸相应编号的空格内直接填写结果.[1.(4分)函数y=的定义域是[0,2].【解答】解:要使函数有意义需2x﹣x2≥0解得0≤x≤2故答案为:[0,2]2.(4分)若关于x,y的方程组有无数多组解,则实数a=2.【解答】解:根据题意,若关于x,y的方程组有无数多组解,则直线ax+y﹣1=0与直线4x+ay﹣2=0重合,则有==,解可得a=2,故答案为:2.3.(4分)若“x2﹣2x﹣3>0”是“x<a”的必要不充分条件,则a的最大值为﹣1.【解答】解:因x2﹣2x﹣3>0得x<﹣1或x>3,又“x2﹣2x﹣3>0”是“x<a”的必要不充分条件,知“x<a”可以推出“x2﹣2x﹣3>0”,反之不成立.则a的最大值为﹣1.故答案为:﹣1.4.(4分)已知复数z 1=3+4i,z2=t+i(其中i为虚数单位),且是实数,则实数t等于.【解答】解:∵z1=3+4i,z2=t+i,∴=(3+4i)(t﹣i)=3t+4+(4t﹣3)i,∵是实数,∴4t﹣3=0,得t=.故答案为:.5.(4分)若函数(a>0,且a≠1)是R上的减函数,则a的取值范围是.【解答】解:∵函数f(x)(a>0且a≠1)是R上的减函数,∴0<a<1,且3a﹣0≥a0+1=2,∴≤a<1.故答案为:.6.(4分)设变量x,y满足约束条件则目标函数z=﹣2x+y的最小值为﹣4.【解答】解:由约束条件作出可行域如图所示,,联立方程组,解得B(3,2),化目标函数z=﹣2x+y为y=2x+z,由图可知,当直线y=﹣2x+z过B时,直线在y轴上的截距最小,z有最小值为z=﹣2×3+2=﹣4.故答案为:﹣4.7.(5分)已知圆C:(x﹣4)2+(y﹣3)2=4和两点A(﹣m,0),B(m,0)(m>0),若圆C上至少存在一点P,使得∠APB=90°,则m的取值范围是[3,7].【解答】解:∵圆C:(x﹣4)2+(y﹣3)2=4,∴圆心C(4,3),半径r=2;设点P(a,b)在圆C上,则=(a+m,b),=(a﹣m,b);∵∠APB=90°,∴(a+m)(a﹣m)+b2=0;即m2=a2+b2;∴|OP|=,∴|OP|的最大值是|OC|+r=5+2=7,最小值是|OC|﹣r=5﹣2=3;∴m的取值范围是[3,7].故答案为[3,7].8.(5分)已知向量,,如果∥,那么的值为.【解答】解:∵向量,,∥,∴cos(+α)•4﹣1•1=0,求得cos(+α)=,即sin(﹣﹣α)=,即sin(﹣α)=,∴=1﹣2=1﹣2•=,故答案为:.9.(5分)若从正八边形的8个顶点中随机选取3个顶点,则以它们作为顶点的三角形是直角三角形的概率是.【解答】解:∵任何三点不共线,∴共有=56个三角形.8个等分点可得4条直径,可构成直角三角形有4×6=24个,所以构成直角三角形的概率为=,故答案为.10.(5分)若将函数f(x)=的图象向左平移个单位后,所得图象对应的函数为偶函数,则ω的最小值是.【解答】解:∵将函数f(x)=的图象向左平移个单位后,所得图象对应的函数解析式为:f(x)=|sin[ω(x+)﹣]|=|sin[ωx+(﹣)]|,∵当﹣=时,即ω=6k+时,f(x)=|sin(ωx+)|=|﹣cos(ωx)|=|cos(ωx)|,f(x)为偶函数.∵ω>0,∴当k=0时,ω有最小值.故答案为:.11.(5分)三棱锥P﹣ABC满足:AB⊥AC,AB⊥AP,AB=2,AP+AC=4,则该三棱锥的体积V的取值范围是(0,]【解答】解:∵AP+AC=4,∴AP•AC≤()2=4,设∠P AC=θ,则0<θ<π,∴S△P AC=AP•AC•sinθ≤2sinθ≤2,∴0<S△P AC≤2.∵AB⊥AC,AB⊥AP,∴AB⊥平面P AC,∴V=S△P AC•AB=S△P AC,∴0<V≤.故答案为:.12.(5分)对于数列{a n},若存在正整数T,对于任意正整数n都有a n+T=a n成立,则称数列{a n}是以T为周期的周期数列.设b1=m(0<m<1),对任意正整数n都有若数列{b n}是以5为周期的周期数列,则m的值可以是﹣1.(只要求填写满足条件的一个m值即可)【解答】解:取m=﹣1=b1,则b2==,b3=,b4=+1,b5=,b6=﹣1,满足b n+5=b n.故答案为:﹣1.二、选择题(本大题共有4题,满分20分.)每题有且只有一个正确答案,考生应在答题纸的相应编号上,将代表答案的小方格涂黑,选对得5分,否则一律得零分.13.(5分)下列函数中,周期为π,且在上为减函数的是()A.B.C.D.【解答】解:C、D中函数周期为2π,所以错误当时,,函数为减函数而函数为增函数,故选:A.14.(5分)如图是一个几何体的三视图,根据图中数据,可得该几何体的表面积是()A.9πB.10πC.11πD.12π【解答】解:从三视图可以看出该几何体是由一个球和一个圆柱组合而成的,其表面为S=4π×12+π×12×2+2π×1×3=12π故选:D.15.(5分)已知双曲线=1(a>0,b>0)的右焦点到左顶点的距离等于它到渐近线距离的2倍倍,则其渐近线方程为()A.2x±y=0B.x±2y=0C.4x±3y=0D.3x±4y=0【解答】解:双曲线的右焦点到左顶点的距离为a+c,右焦点到渐近线距离为b,所以有:a+c=2b,由4x±3y=0得,取a=3,b=4,则c=5,满足a+c=2b.故选:C.16.(5分)如图所示,∠BAC=,圆M与AB,AC分别相切于点D,E,AD=1,点P 是圆M及其内部任意一点,且(x,y∈R),则x+y的取值范围是()A.B.C.D.【解答】解:连接MA,MD,则∠MAD=,MD⊥AD,∵AD=1,∴MD=,MA=2,∵点P是圆M及其内部任意一点,∴2﹣≤AP≤2+,且当A,P,M三点共线时,x+y取得最值,当AP取得最大值时,以AP为对角线,以AB,AC为邻边方向作平行四边形AA1PB1,则△APB1和△AP A1是等边三角形,∴AB1=AA1=AP=2+,∴x=y=2+,∴x+y的最大值为4+2,同理可求出x+y的最小值为4﹣2.故选:B.三、解答题(本大题共有5题,满分76分.)解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.17.(14分)如图,在直棱柱ABC﹣A1B1C1中,AA1=AB=AC=2,AB⊥AC,D,E,F分别是A1B1,CC1,BC的中点.(1)求证:AE⊥DF;(2)求AE与平面DEF所成角的大小及点A到平面DEF的距离.【解答】解:(1)以A为坐标原点、AB为x轴、AC为y轴、AA1为z轴建立如图的空间直角坐标系.由题意可知A(0,0,0),D(0,1,2),E(﹣2,0,1),F(﹣1,1,0),故,…(4分)由,可知,即AE⊥DF.…(6分)(2)设是平面DEF的一个法向量,又,故由解得故.…(9分)设AE与平面DEF所成角为θ,则,…(12分)所以AE与平面DEF所成角为,点A到平面DEF的距离为.…(14分)18.(14分)在△ABC中,角A,B,C的对边分别为a,b,c,且b cos C,a cos A,c cos B成等差数列.(1)求角A的大小;(2)若,b+c=6,求的值.【解答】(本题满分为14分)解:(1)由b cos C,a cos A,c cos B成等差数列,可得b cos C+c cos B=2a cos A,…(2分)故sin B cos C+sin C cos B=2sin A cos A,所以sin(B+C)=2sin A cos A,…(4分)又A+B+C=π,所以sin(B+C)=sin A,故sin A=2sin A cos A,又由A∈(0,π),可知sin A≠0,故,所以.…(6分)(另法:利用b cos C+c cos B=a求解)(2)在△ABC中,由余弦定理得,…(8分)即b2+c2﹣bc=18,故(b+c)2﹣3bc=18,又b+c=6,故bc=6,…(10分)所以=…(12分)=c2+b2+bc=(b+c)2﹣bc=30,故.…(14分)19.(14分)如果一条信息有n(n>1,n∈N)种可能的情形(各种情形之间互不相容),且这些情形发生的概率分别为p1,p2,…,p n,则称H=f(p1)+f(p2)+…f(p n)(其中f (x)=﹣x log a x,x∈(0,1))为该条信息的信息熵.已知.(1)若某班共有32名学生,通过随机抽签的方式选一名学生参加某项活动,试求“谁被选中”的信息熵的大小;(2)某次比赛共有n位选手(分别记为A1,A2,…,A n)参加,若当k=1,2,…,n﹣1时,选手A k获得冠军的概率为2﹣k,求“谁获得冠军”的信息熵H关于n的表达式.【解答】解:(1)由,可得,解之得a=2.…(2分)由32种情形等可能,故,…(4分)所以,答:“谁被选中”的信息熵为5.…(6分)(2)A n获得冠军的概率为,…(8分)当k=1,2,…,n﹣1时,,又,故,…(11分),以上两式相减,可得,故,答:“谁获得冠军”的信息熵为.…(14分)20.(16分)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.【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△APQ取最大值.故S△APQ的最大值为.…(10分)(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.(18分)若函数f(x)满足:对于任意正数s,t,都有f(s)>0,f(t)>0,且f(s)+f(t)<f(s+t),则称函数f(x)为“L函数”.(1)试判断函数与是否是“L函数”;(2)若函数g(x)=3x﹣1+a(3﹣x﹣1)为“L函数”,求实数a的取值范围;(3)若函数f(x)为“L函数”,且f(1)=1,求证:对任意x∈(2k﹣1,2k)(k∈N*),都有.【解答】解:(1)对于函数,当t>0,s>0时,,又,所以f1(s)+f1(t)<f1(s+t),故是“L函数”.…(2分)对于函数,当t=s=1时,,故不是“L函数”.…(4分)(2)当t>0,s>0时,由g(x)=3x﹣1+a(3﹣x﹣1)是“L函数”,可知g(t)=3t﹣1+a(3﹣t﹣1)>0,即(3t﹣1)(3t﹣a)>0对一切正数t恒成立,又3t﹣1>0,可得a<3t对一切正数t恒成立,所以a≤1.…(6分)由g(t)+g(s)<g(t+s),可得3s+t﹣3s﹣3t+1+a(3﹣s﹣t﹣3﹣s﹣3﹣t+1)>0,即3t(3s﹣1)﹣(3s﹣1)+a(3﹣s﹣1)(3﹣t﹣1)=(3s﹣1)(3t﹣1)+a(3﹣s﹣1)(3﹣t﹣1)=(3s﹣1)(3t﹣1)+a•3﹣s﹣t(3s﹣1)(3t﹣1)>0,故(3s﹣1)(3t﹣1)(3s+t+a)>0,又(3t﹣1)(3s﹣1)>0,故3s+t+a>0,由3s+t+a>0对一切正数s,t恒成立,可得a+1≥0,即a≥﹣1.…(9分)综上可知,a的取值范围是[﹣1,1].…(10分)(3)由函数f(x)为“L函数”,可知对于任意正数s,t,都有f(s)>0,f(t)>0,且f(s)+f(t)<f(s+t),令s=t,可知f(2s)>2f(s),即,…(12分)故对于正整数k与正数s,都有,…(14分)对任意x∈(2k﹣1,2k)(k∈N*),可得,又f(1)=1,所以,…(16分)同理,故.…(18分)。
2017年上海市黄浦区高考数学二模试卷Word版含解析
2017年上海市虹口区高考数学二模试卷一、填空题(1~6题每小题4分,7~12题每小题4分,本大题满分54分)1.集合A={1,2,3,4},B={x|(x﹣1)(x﹣5)<0},则A∩B=.2.复数所对应的点在复平面内位于第象限.3.已知首项为1公差为2的等差数列{a n},其前n项和为S n,则=.4.若方程组无解,则实数a=.5.若(x+a)7的二项展开式中,含x6项的系数为7,则实数a=.6.已知双曲线,它的渐近线方程是y=±2x,则a的值为.7.在△ABC中,三边长分别为a=2,b=3,c=4,则=.8.在平面直角坐标系中,已知点P(﹣2,2),对于任意不全为零的实数a、b,直线l:a(x﹣1)+b(y+2)=0,若点P到直线l的距离为d,则d的取值范围是.9.函数f(x)=,如果方程f(x)=b有四个不同的实数解x1、x2、x3、x4,则x1+x2+x3+x4=.10.三条侧棱两两垂直的正三棱锥,其俯视图如图所示,主视图的边界是底边长为2的等腰三角形,则主视图的面积等于.11.在直角△ABC中,,AB=1,AC=2,M是△ABC内一点,且,若,则λ+2μ的最大值.12.无穷数列{a n}的前n项和为S n,若对任意的正整数n都有S n∈{k1,k2,k3,…,k10},则a10的可能取值最多有个.二、选择题(每小题5分,满分20分)13.已知a,b,c是实数,则“a,b,c成等比数列”是“b2=ac”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14.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.已知函数,x1、x2、x3∈R,且x1+x2>0,x2+x3>0,x3+x1>0,则f(x1)+f(x2)+f(x3)的值()A.一定等于零 B.一定大于零 C.一定小于零 D.正负都有可能16.已知点M(a,b)与点N(0,﹣1)在直线3x﹣4y+5=0的两侧,给出以下结论:①3a﹣4b+5>0;②当a>0时,a+b有最小值,无最大值;③a2+b2>1;④当a>0且a≠1时,的取值范围是(﹣∞,﹣)∪(,+∞).正确的个数是()A.1 B.2 C.3 D.4三、解答题(本大题满分76分)17.如图ABC﹣A1B1C1是直三棱柱,底面△ABC是等腰直角三角形,且AB=AC=4,直三棱柱的高等于4,线段B1C1的中点为D,线段BC的中点为E,线段CC1的中点为F.(1)求异面直线AD、EF所成角的大小;(2)求三棱锥D﹣AEF的体积.18.已知定义在(﹣,)上的函数f(x)是奇函数,且当x∈(0,)时,f(x)=.(1)求f(x)在区间(﹣,)上的解析式;(2)当实数m为何值时,关于x的方程f(x)=m在(﹣,)有解.19.已知数列{a n}是首项等于且公比不为1的等比数列,S n是它的前n项和,满足.(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.20.已知椭圆C:=1(a>b>0),定义椭圆C上的点M(x0,y0)的“伴随点”为.(1)求椭圆C上的点M的“伴随点”N的轨迹方程;(2)如果椭圆C上的点(1,)的“伴随点”为(,),对于椭圆C上的任意点M及它的“伴随点”N,求的取值范围;(3)当a=2,b=时,直线l交椭圆C于A,B两点,若点A,B的“伴随点”分别是P,Q,且以PQ为直径的圆经过坐标原点O,求△OAB的面积.21.对于定义域为R的函数y=f(x),部分x与y的对应关系如表:(1)求f{f[f(0)]};)都在函数y=f(x)的(2)数列{x n}满足x1=2,且对任意n∈N*,点(x n,x n+1图象上,求x1+x2+…+x4n;(3)若y=f(x)=Asin(ωx+φ)+b,其中A>0,0<ω<π,0<φ<π,0<b<3,求此函数的解析式,并求f(1)+f(2)+…+f(3n)(n∈N*).2017年上海市虹口区高考数学二模试卷参考答案与试题解析一、填空题(1~6题每小题4分,7~12题每小题4分,本大题满分54分)1.集合A={1,2,3,4},B={x|(x﹣1)(x﹣5)<0},则A∩B={2,3,4} .【考点】1E:交集及其运算.【分析】解关于B的不等式,求出A、B的交集即可.【解答】解:A={1,2,3,4},B={x|(x﹣1)(x﹣5)<0}={x|1<x<5},则A∩B={2,3,4};故答案为:{2,3,4}.2.复数所对应的点在复平面内位于第四象限.【考点】A5:复数代数形式的乘除运算.【分析】利用复数的运算法则、几何意义即可得出.【解答】解:复数==﹣i所对应的点在复平面内位于第四象限.故答案为:四.3.已知首项为1公差为2的等差数列{a n},其前n项和为S n,则=4.【考点】6F:极限及其运算;85:等差数列的前n项和.【分析】由题意,a n=1+2(n﹣1)=2n﹣1,S n=n+=n2,即可求极限.【解答】解:由题意,a n=1+2(n﹣1)=2n﹣1,S n=n+=n2,∴==4,故答案为:4.4.若方程组无解,则实数a=±2.【考点】54:根的存在性及根的个数判断.【分析】根据题意,若方程组无解,则直线ax+2y=3与直线2x+2y=2平行,由直线平行的判定方法分析可得a的值,即可得答案.【解答】解:根据题意,方程组无解,则直线ax+2y=3与直线2x+2y=2平行,则有a×a=2×2,且a×2≠2×3,即a2=4,a≠3,解可得a=±2,故答案为:±2.5.若(x+a)7的二项展开式中,含x6项的系数为7,则实数a=1.【考点】DB:二项式系数的性质.=x r a7﹣r,令r=6,则=7,【分析】(x+a)7的二项展开式的通项公式:T r+1解得a.=x r a7﹣r,【解答】解:(x+a)7的二项展开式的通项公式:T r+1令r=6,则=7,解得a=1.故答案为:1.6.已知双曲线,它的渐近线方程是y=±2x,则a的值为2.【考点】KC:双曲线的简单性质.【分析】根据题意,由双曲线的方程可得其渐近线方程为:y=±ax,结合题意中渐近线方程可得a=2,即可得答案.【解答】解:根据题意,双曲线的方程为:,其焦点在x轴上,其渐近线方程为:y=±ax,又有其渐近线方程是y=±2x,则有a=2;故答案为:2.7.在△ABC中,三边长分别为a=2,b=3,c=4,则=.【考点】HP:正弦定理.【分析】由已知利用余弦定理可求cosA,cosB,进而利用同角三角函数基本关系式可求sinA,sinB的值,即可利用二倍角的正弦函数公式化简求值得解.【解答】解:在△ABC中,∵a=2,b=3,c=4,∴cosA==,可得:sinA==,cosB==,sinB==,∴===.故答案为:.8.在平面直角坐标系中,已知点P(﹣2,2),对于任意不全为零的实数a、b,直线l:a(x﹣1)+b(y+2)=0,若点P到直线l的距离为d,则d的取值范围是[0,5] .【考点】IT:点到直线的距离公式.【分析】由题意,直线过定点Q(1,﹣2),PQ⊥l时,d取得最大值=5,直线l过P时,d取得最小值0,可得结论.【解答】解:由题意,直线过定点Q(1,﹣2),PQ⊥l时,d取得最大值=5,直线l过P时,d取得最小值0,∴d的取值范围[0,5],故答案为[0,5].9.函数f(x)=,如果方程f(x)=b有四个不同的实数解x1、x2、x3、x4,则x1+x2+x3+x4=4.【考点】54:根的存在性及根的个数判断.【分析】作出f(x)的图象,由题意可得y=f(x)和y=b的图象有4个交点,不妨设x1<x2<x3<x4,由x1、x2关于原点对称,x3、x4关于(2,0)对称,计算即可得到所求和.【解答】解:作出函数f(x)=的图象,方程f(x)=b有四个不同的实数解,等价为y=f(x)和y=b的图象有4个交点,不妨设它们交点的横坐标为x1、x2、x3、x4,且x1<x2<x3<x4,由x1、x2关于原点对称,x3、x4关于(2,0)对称,可得x1+x2=0,x3+x4=4,则x1+x2+x3+x4=4.故答案为:4.10.三条侧棱两两垂直的正三棱锥,其俯视图如图所示,主视图的边界是底边长为2的等腰三角形,则主视图的面积等于.【考点】L7:简单空间图形的三视图.【分析】由题意,正三棱锥有三个面都是等腰直角三角形,且边长相等.根据俯视图可得,底面是边长为2的等边三角形.利用体积法,求其高,即可得主视图的高.可得主视图的面积【解答】解:由题意,正三棱锥有三个面都是等腰直角三角形,(如图:SAB,SBC,SAC)且边长相等为,其体积为V==根据俯视图可得,底面是边长为2的等边三角形.其面积为:.设主视图的高OS=h,则=.∴h=.主视图的边界是底边长为2的等腰三角形,其高为.∴得面积S=.故答案为11.在直角△ABC中,,AB=1,AC=2,M是△ABC内一点,且,若,则λ+2μ的最大值.【考点】9H:平面向量的基本定理及其意义.【分析】建立平面直角坐标系,则A(0,0),B(0,1),C(2,0),M(,),(0<θ<),由已知可得,则λ+2μ=,即可求解.【解答】解:如图建立平面直角坐标系,则A(0,0),B(0,1),C(2,0)M(,)(0<θ<),∵,∴(.∴,则λ+2μ=,∴当θ=时,λ+2μ最大值为,故答案为:12.无穷数列{a n}的前n项和为S n,若对任意的正整数n都有S n∈{k1,k2,k3,…,k10},则a10的可能取值最多有91个.【考点】8E:数列的求和.【分析】根据数列递推公式可得a10=S10﹣S9,而S10,S9∈{k1,k2,k3,…,k10},分类讨论即可求出答案.【解答】解:a10=S10﹣S9,而S10,S9∈{k1,k2,k3,…,k10},若S10≠S9,则有A102=10×9=90种,若S10=S9,则有a10=0,根据分类计数原理可得,共有90+1=91种,故答案为:91二、选择题(每小题5分,满分20分)13.已知a,b,c是实数,则“a,b,c成等比数列”是“b2=ac”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】2L:必要条件、充分条件与充要条件的判断.【分析】根据充分条件和必要条件的定义结合等比数列的定义进行判断即可.【解答】解:若a,b,c成等比数列,则b2=ac成立,若a=b=c=0,满足b2=ac,但a,b,c不能成等比数列,故“a,b,c成等比数列”是“b2=ac”的充分不必要条件,故选:A.14.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【考点】LP:空间中直线与平面之间的位置关系.【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.已知函数,x1、x2、x3∈R,且x1+x2>0,x2+x3>0,x3+x1>0,则f(x1)+f(x2)+f(x3)的值()A.一定等于零 B.一定大于零 C.一定小于零 D.正负都有可能【考点】57:函数与方程的综合运用.【分析】先判断奇偶性和单调性,先由单调性定义由自变量的关系得到函数关系,然后三式相加得解.【解答】解:函数,f(﹣x)=﹣f(x),函数f(x)是奇函数,根据同增为增,可得函数f(x)是增函数,∵x1+x2>0,x2+x3>0,x3+x1>0,∴x1>﹣x2,x2>﹣x3x3>﹣x1,∴f(x1)>f(﹣x2,f(x2)>f(﹣x3),f(x3)>f(﹣x1)∴f(x1)+f(x2)>0,f(x2)+f(x3)>0,f(x3)+f(x1)>0,三式相加得:f(x1)+f(x2)+f(x3)>0,故选:B.16.已知点M(a,b)与点N(0,﹣1)在直线3x﹣4y+5=0的两侧,给出以下结论:①3a﹣4b+5>0;②当a>0时,a+b有最小值,无最大值;③a2+b2>1;④当a>0且a≠1时,的取值范围是(﹣∞,﹣)∪(,+∞).正确的个数是()A.1 B.2 C.3 D.4【考点】2K:命题的真假判断与应用.【分析】根据点M(a,b)与点N(1,0)在直线3x﹣4y+5=0的两侧,可以画出点M(a,b)所在的平面区域,进而结合二元一次不等式的几何意义,两点之间距离公式的几何意义,及两点之间连线斜率的几何意义,逐一分析四个命题得结论.【解答】解:∵点M(a,b)与点N(0,﹣1)在直线3x﹣4y+5=0的两侧,∴(3a﹣4b+5)(3×0+4+5)<0,即3a﹣4b+5<0,故①错误;当a>0时,a+b>,a+b即无最小值,也无最大值,故②错误;设原点到直线3x﹣4y+5=0的距离为d,则d=,则a2+b2>4,故③错误;当a>0且a≠1时,表示点M(a,b)与P(1,﹣1)连线的斜率.∵当a=0,b=时,=,又直线3x﹣4y+5=0的斜率为,故的取值范围为(﹣∞,﹣)∪(,+∞),故④正确.∴正确命题的个数是2个.故选:B.三、解答题(本大题满分76分)17.如图ABC﹣A1B1C1是直三棱柱,底面△ABC是等腰直角三角形,且AB=AC=4,直三棱柱的高等于4,线段B1C1的中点为D,线段BC的中点为E,线段CC1的中点为F.(1)求异面直线AD、EF所成角的大小;(2)求三棱锥D﹣AEF的体积.【考点】LF:棱柱、棱锥、棱台的体积;LM:异面直线及其所成的角.【分析】(1)以A为原点建立空间坐标系,求出,的坐标,利用向量的夹角公式得出AD,EF的夹角;,代入体积公式计算.(2)证明AE⊥平面DEF,求出AE和S△DEF【解答】解:(1)以A为坐标原点,AB、AC、AA1分别为x轴,y轴,z轴建立空间直角坐标系.依题意有D(2,2,4),A(0,0,0),E(2,2,0),F(0,4,2),所以.设异面直线AD、EF所成角为α,则==,所以,即异面直线AD、EF所成角的大小为.(2)∵AB=AC=4,AB⊥AC,∴,,DE=AA1=4,==4,∴S△DEF由E为线段BC的中点,且AB=AC,∴AE⊥BC,又BB1⊥面ABC,∴AE⊥BB1,∴AE⊥面BB1C1C,∴,∴三棱锥D﹣AEF的体积为.18.已知定义在(﹣,)上的函数f(x)是奇函数,且当x∈(0,)时,f(x)=.(1)求f(x)在区间(﹣,)上的解析式;(2)当实数m为何值时,关于x的方程f(x)=m在(﹣,)有解.【考点】3L:函数奇偶性的性质.【分析】(1)利用奇函数的定义,结合x∈(0,)时,f(x)=,求f(x)在区间(﹣,)上的解析式;(2)分类讨论,利用函数的解析式,可得结论.【解答】解:(1)设,则,∵f(x)是奇函数,则有…∴f(x)=…(2)设,令t=tanx,则t>0,而.∵1+t>1,得,从而,∴y=f(x)在的取值范围是0<y<1.…又设,则,由此函数是奇函数得f(x)=﹣f(﹣x),0<f(﹣x)<1,从而﹣1<f(x)<0.…综上所述,y=f(x)的值域为(﹣1,1),所以m的取值范围是(﹣1,1).…19.已知数列{a n}是首项等于且公比不为1的等比数列,S n是它的前n项和,满足.(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.【考点】8E:数列的求和;8H:数列递推式.【分析】(1)根据求和公式列方程求出q,代入通项公式即可;(2)对a进行讨论,判断{b n}的单调性和首项的符号,从而得出T n的最值.【解答】解:(1)∵,∵q≠1,∴.整理得q2﹣3q+2=0,解得q=2或q=1(舍去).∴.(2)b n=log a a n=(n﹣5)log a2.1)当a>1时,有log a2>0,数列{b n}是以log a2为公差,以﹣4log a2为首项的等差数列,∴{b n}是递增数列,∴T n没有最大值.由b n≤0,得n≤5.所以(T n)min=T4=T5=﹣10log a2.2)当0<a<1时,有log a2<0,数列{b n}是以log a2为公差的等差数列,∴{b n}是首项为正的递减等差数列.∴T n没有最小值.令b n≥0,得n≤5,(T n)max=T4=T5=﹣10log a2.20.已知椭圆C:=1(a>b>0),定义椭圆C上的点M(x0,y0)的“伴随点”为.(1)求椭圆C上的点M的“伴随点”N的轨迹方程;(2)如果椭圆C上的点(1,)的“伴随点”为(,),对于椭圆C上的任意点M及它的“伴随点”N,求的取值范围;(3)当a=2,b=时,直线l交椭圆C于A,B两点,若点A,B的“伴随点”分别是P,Q,且以PQ为直径的圆经过坐标原点O,求△OAB的面积.【考点】K4:椭圆的简单性质.【分析】(1)由,代入椭圆方程即可求得椭圆C上的点M的“伴随点”N 的轨迹方程;(2)由题意,求得椭圆的方程,根据向量的坐标运算,即可求得的取值范围;(3)求得椭圆方程,设方程为y=kx+m,代入椭圆方程,利用韦达定理,根据向量数量积的坐标求得3+4k2=2m2,弦长公式及点到直线的距离公式,即可求得△OAB的面积,直线l的斜率不存在时,设方程为x=m,代入椭圆方程,即可求得△OAB的面积.【解答】解:(1)设N(x,y)由题意,则,又,∴,从而得x2+y2=1…(2)由,得a=2.又,得.…∵点M(x0,y0)在椭圆上,,,且,•=(x,y0)(,)=+=x02+,由于,的取值范围是[,2](3)设A(x1,y1),B(x2,y2),则;1)当直线l的斜率存在时,设方程为y=kx+m,由,得(3+4k2)x2+8kmx+4(m2﹣3)=0;有①…由以PQ为直径的圆经过坐标原点O可得:3x1x2+4y1y2=0;整理得:②将①式代入②式得:3+4k2=2m2,…3+4k2>0,则m2>0,△=48m2>0,又点O到直线y=kx+m的距离,丨AB丨==×=×,∴…2)当直线l的斜率不存在时,设方程为x=m(﹣2<m<2)联立椭圆方程得;代入3x1x2+4y1y2=0,得,解得m2=2,从而,=丨AB丨×d=丨m丨丨y1﹣y2丨=,S△OAB综上:△OAB的面积是定值.…21.对于定义域为R的函数y=f(x),部分x与y的对应关系如表:(1)求f{f[f(0)]};(2)数列{x n}满足x1=2,且对任意n∈N*,点(x n,x n)都在函数y=f(x)的+1图象上,求x1+x2+…+x4n;(3)若y=f(x)=Asin(ωx+φ)+b,其中A>0,0<ω<π,0<φ<π,0<b<3,求此函数的解析式,并求f(1)+f(2)+…+f(3n)(n∈N*).【考点】H2:正弦函数的图象;3O:函数的图象.【分析】(1)根据复合函数的性质,由内往外计算可得答案.)都在函数y=f(x)的图象上,带入,化简,不难发现函(2)根据点(x n,x n+1数y是周期函数,即可求解x1+x2+…+x4n的值.(3)根据表中的数据,带入计算即可求解函数的解析式.【解答】解:(1)根据表中的数据:f{f[f(0)]}=f(f(3))=f(﹣1)=2.)都在函数y=f(x)的图象上,(2)由题意,x1=2,点(x n,x n+1=f(x n)即x n+1∴x2=f(x1)=f(2)=0,x3=f(x2)=3,x4=f(x3)=﹣1,x5=f(x4)=2∴x5=x1,∴函数y是周期为4的函数,故得:x1+x2+…+x4n=4n.(3)由题意得由(1)﹣(2)∴sin(ω+φ)=sin(﹣ω+φ)∴sinωcosφ=0.又∵0<ω<π∴sinω≠0.∴cosφ=0而0<φ<π∴从而有.∴2A2﹣4A+2﹣2A2+3A=0.∴A=2.b=1,∵0<ω<π,∴.∴.此函数的最小正周期T==6,f(6)=f(0)=3∵f(1)+f(2)+f(3)+f(4)+f(5)+f(6)=6,∴①当n=2k(k∈N*)时.f(1)+f(2)+…+f(3n)=f(1)+f(2)+…+f(6k)=k[f(1)+f(2)+…+f(6)]=6k=3n.②当n=2k﹣1(k∈N*)时.f(1)+f(2)+…+f(3n)=f(1)+f(2)+…+f(6k)﹣f(6k﹣2)﹣f(6k﹣1)﹣f(6k)=k[f(1)+f(2)+…+f(6)]﹣5=6k﹣5=3n ﹣2.2017年5月22日。
2017届高三语文黄浦区(二模)试卷
⑦风势渐渐平息。古老的地球稳稳当当悬于宇宙中央。站在地球上,像站在全世界的至高
2017 届上海市语文散装同步试卷·黄浦区 ~ 4 ~
(3)同样是杜甫的诗,《江南逢李龟年》中“正是江南好风景,落花时节又逢君”与《登楼》
“______________________,_____________________ ”一联所用手法相似。
2.按要求选择。(5 分)
(1)小王不幸遭遇车祸,情绪低落,以下句子适合用来鼓励他战胜困难的一项是。(2 分)
第三个维度是态度,指____________________________________ 。 ④态度基于价值观而形成。价值可定义为个体对所追求的理想目标持有的总体信念。价值 观超越具体的行为和语境,能够影响个体的态度、判断和行为。在全球化能力框架中,尊重他 人的尊严和文化多样性能够帮助学生正确处理与他人的差异、相关信息,也是他们做出明智判 断的重要参考之一。 ⑤测试内容和方式。2018 年 PISA 测评旨在建立一个独立的复合量表来测量学生运用知识 理解、认识关系和观点,以及批判地思考特定目标或跨文化问题的能力。该量表将主要建立在 全球化能力的认知项目上,包括全球问题的知识和理解力、跨文化知识和理解力、分析和批判 性思维三方面评估内容。知识、理解和批判性思维是紧密联系的,构成了学生的跨文化思维能 力。 ⑥全球问题的知识和理解力意味着学生要熟悉一些跨越国界的重要问题,以及能够理解全
(二)阅读下文,完成第 9-12 题。(15 分)
孤独 1
2017届黄浦区高三化学二模试卷及答案
黄浦区2017年高中学业等级考调研测试化学试卷2017年4月考生须知:1.本试卷满分100分,考试时间60分钟。
2.本考试设试卷和答题纸两部分,试卷包括试题与答题要求;所有答题必须涂(选择题)或写(非选择题)在答题纸上;做在试卷上一律不得分。
3.答题前,考生务必在答题纸上用钢笔或圆珠笔清楚填写姓名、准考证号,并将核对后的条形码贴在指定位置上。
4.答题纸与试卷在试题编号上是一一对应的,答题时应特别注意,不能错位。
相对原子质量:H-1 C-12 N-14 O-16 Na-23一、选择题(本题共40分,每小题2分,每题只有一个正确选项)1.为使以面粉为原料的面包松软可口,通常用NaHCO3作发泡剂,利用的是NaHCO3①受热易分解②可增加甜味③可产生CO2④能提供钠离子A.①③B.①④C.②③D.③④2.下列分子中,属于含有极性键的非极性分子的是A.H2O B.Br2C.CH4 D.HCl3.下列溶液一定呈酸性的是A.含H+ 的溶液B.能使酚酞呈无色的溶液C.pH<7的溶液D.c(OH-)<c(H+)4.下列变化不需要破坏化学键的是A.加热氯化铵固体B.干冰气化C.石油裂化D.氯化氢溶于水5.氮化硅(Si3N4)是一种新型的耐高温耐磨材料,氮化硅属于A.离子晶体B.分子晶体C.金属晶体D.原子晶体6.对下列化学用语的理解正确的是A.原子结构示意图可以表示12C,也可以表示14CB.比例模型可以表示二氧化碳分子,也可以表示水分子C.电子式可以表示羟基,也可以表示氢氧根离子D.分子式C2H4O2可以表示乙酸,也可以表示乙二醇7.向盐酸中加入浓硫酸时,会有白雾产生。
下列叙述不属于导致产生该现象的原因是A.浓硫酸有吸水性B.盐酸有挥发性C.气态溶质的溶解度随温度升高而降低D.浓硫酸有脱水性8.下列有关实验操作的叙述错误的是A.过滤操作中,漏斗的尖端应接触烧杯内壁B.从滴瓶中取用试剂时,滴管的尖嘴可以接触试管内壁C.滴定接近终点时,滴定管的尖嘴可以接触锥形瓶内壁D.向容量瓶转移液体时,导流用玻璃棒可以接触容量瓶内壁9.下列反应中调节反应物用量或浓度不会改变反应产物的是A.铜粉加入硝酸中B.溴化亚铁溶液中通氯气C.AlCl3溶液中滴入NaOH溶液D.铁粉在硫蒸气中燃烧10.Cl2和SO2都有漂白作用,能使品红溶液褪色。
上海市2017黄浦区高三地理二模试卷(含答案)
上海市2017黄浦区高三地理二模试卷(含答案)9.煤炭有黑色金子的美誉,是工业的食粮。
读图判断,下列有关煤炭的说法,正确的是A.是一种固体可燃的沉积岩B.与玄武岩成因相同C.是黑色可燃的石灰岩D.不具有层理构造10.2016年11月,新西兰南岛发生8 级地震。
板块构造学说认为该岛处于A.印度洋板块和太平洋板块的生长界B.印度洋板块和太平洋板块的消亡界C.印度洋板块和亚欧板块的生长界D.印度洋板块和亚欧板块的消亡界11.2016 年,我国全面实施一对夫妇可生育两个孩子政策。
该人口政策调整的主要原因是A.人口年龄构成出现不合理趋势B.人口职业构成不适合经济发展C.人口性别构成出现不合理现象D.人口总量无法满足社会经济的发展12.长江三角洲城市群简称长三角城市群,是世界六大城市群之一。
该地区近年来城市化进程加速发展的根本原因是A.自然条件优越B.外来人口增多C.农业产值的比重不断增长D.城市化与工业化的互动并进13.中国北斗卫星导航系统是中国自行研制的卫星导航系统。
该系统的主要作用等同于下列各项技术中的A.GPSB.GISC.RSD.数字地球14.下列陆地资源中,体现非地带性分异规律的是A.土地资源B.森林资源C.光热资源D.石油资源15.长江“第一鲜”的刀鱼产量锐减、资源衰退已是不争的事实。
以下说法正确的是A.刀鱼已经成为非可再生资源B.长江的生态环境恶化是造成刀鱼数量锐减的唯一原因C.各种对刀鱼的保护措施已经不起作用D.主要是过度捕捞导致刀鱼可再生速度下降16.美国田纳西河流域内发展高耗能工业的必要条件是A.水能资源丰富B.铁路交通便利C.信息交流通畅D.地理环境优美17.全球性环境问题主要是由于人类过快地向自然界索取资源和排放废气物,造成人类的环境急剧退化。
下列不属于全球性环境问题的是A.全球变暖B.臭氧洞C.荒漠化D.能源危机18.摩拜单车在上海打出“让自行车回归城市”的口号,这种出行方式给城市带来的正面影响是①倡导绿色出行②造成交通拥堵③加快人口迁移速度④减轻碳排放A.①②B.①④C.②③D.②④19.依据等高线地形图判断,有关甲乙丙丁四处居民点的说法,正确的是A.甲村海拔高度大于500 米B.乙村南面有陡崖C.丙村最容易遭受滑坡、泥石流等地质灾害D.丁村适合种植柑橘20.下表是我国北方某地区的部分资料,当地面临的主要生态环境问题是年份年降水量气温年较差耕地面积河流含沙量森林覆盖率1982年520mm 30℃340km 2 10% 20%2000年450mm 35℃460km 2 30% 10%A.风沙危害严重B.水土流失加剧C.海洋性气候增强D.光照条件变差二、综合分析题(共60分)(一)读澳大利亚年降水量分布图、澳大利亚地形分布示意图、澳大利亚墨累-达令盆地混合农业的生产月份安排表,回答问题。
2017年上海市黄浦区高考语文二模试卷(含详解与写作范文)
2017年上海市黄浦区高考语文二模试卷一、积累应用10分1.(5分)按要求填空。
(1)念去去、千里烟波,。
(柳永《雨霖铃》)(2)落花水香茅舍晚,。
(马致远《[ ]寿阳曲•远浦帆归》)(3)同样是杜甫的诗,《江南逢李龟年》中“正是江南好风景,落花时节又逢君”与《登楼》“,”一联所用手法相似。
2.(2分)按要求选择。
小王不幸遭遇车祸,情绪低落,以下句子适合用来鼓励他战胜困难的一项是()A.沉舟侧畔千帆过,病树前头万木春B.删繁就简三秋树,领异标新二月花C.九层之台,起于累土D.玉不琢,不成器3.(3分)把下列画线句放回原文序号处,最通顺的一项是()2017 年3 月3 日,《科学》杂志发表了题为《中国许昌发现的更新世晚期古老型人类头骨》的论文。
该文称在中国许昌发现了生活在10.5 万年至12.5 万年之前的“许昌人”,①这是一种新的古老类型人类,②中国古人类学家在近十年中开展了大量野外调查、发掘和化石研究工作,先后在湖北郧西黄龙洞、湖南道县福岩洞、安徽东至华龙洞等地发现了珍贵的古人类化石,③从而对中国更新世中、晚期人类演化的认识进一步深入。
④发现“许昌人”的灵井旧石器时代晚期遗址,在2007 年和2014 年两次出土人类头骨化石,这些发现被评为当年的十大考古发现之一,遗址已被国务院公布为国家级文物保护单位。
A.①B.②C.③D.④二、阅读70分4.(16分)阅读下文,完成下列各题。
全球化能力及评估﹣﹣经合组织《面向包容世界的全球化能力》报告述评①随着全球化的深入发展,各国间的联系不断增强,人们需要与来自不同学科、文化的人合作,理解不同的文化和价值,解决复杂的问题,并创造经济与社会价值。
面对全球化所带来的机遇和挑战,年轻一代需具备新的能力。
多年来,教育界一直在讨论新形势下学生应具备哪些新的能力,以及如何培养这些能力,以帮助学生在未来的工作和生活中获得成功。
②2016 年 5 月14 日,经合组织向七国教育部长提交了一份题为《面向包容世界的全球化能力》的报告。
最新上海市黄浦区高三语文二模试卷(含答案)
..... 黄浦区 2017年高考模拟语文试卷(完卷时间: 150 分钟 满分: 150 分)一 积累应用( 10分)1. 按要求填空( 5分)(1)念去去、千里烟波, _____________________________ 。
(柳永《雨霖铃》)(2)落花水香茅舍晚, ______________ 。
(马致远《 [ ___________ ] 寿阳曲·远浦帆归》)(3)同样是杜甫的诗,《江南逢李龟年》 中“正是江南好风景,落花时节又逢君”与《登楼》“ ______________________ , ____________________ 、 _______________ ”一联所用手法相似。
2. 按要求选择。
( 5分)(1)小王不幸遭遇车祸,情绪低落,以下句子适合用来鼓励. 他战胜困难的一项是( ) A .沉舟侧畔千帆过,病树前头万木春。
B .删繁就简三秋树,领异标新二月花。
C .九层之台,起于累土。
D .玉不琢,不成器。
(2)把下列画线句放回原文序号处,最通顺...的一项是() 2017年 3月 3 日, 《科学》杂志发表了题为《中国许昌发现的更新世晩期古老型人类头骨》的论文。
该文称在中国许昌发现生活在 10.5 万年至 12.5 万年之前的“许昌人”,①这是一种新的古老类型人类, ②中国古人类学家在近十年中开展了大量野外调査、发掘和化石研究工作, 先后在湖北郧西黄龙洞、 湖 南道县福岩洞、安徽东至华龙洞等地发现了珍贵的古人类化石,③从而对中国更新世中、晩期人类演化 的认识进一步深入。
④发现“许昌人”的灵井旧石器时代晚期遗址,在 2007 年和 2014 年两次出土人类头骨化石,这些发现被评为当年的十大考古发现之一,遗址已被国务院公布为国家级文物保护单位。
A .① B. ② C. ③ D. ④二阅读 70 分(一)阅读下文,完成 3—8 题( 16分) 全球化能力及评估一经合组织《面向包容世界的全球化能力》报告述评①随着全球化的深入发展,各国间的联系不断增强,人们需要与来自不同学科、文化的人合作,理 解不同的文化和价值, 解决复杂的问题, 并创造经济与社会价值。
2017届上海市黄埔区、卢湾区高三高考模拟考试文科数学试题及答案
黄浦(卢湾)区高考 数学(文科)二模卷考生注意:1.每位考生应同时收到试卷和答题卷两份材料,解答必须在答题卷上进行,写在试卷上的解答一律无效;2.答卷前,考生务必将姓名、准考证号等相关信息在答题卷上填写清楚;3.本试卷共23道试题,满分150分;考试时间120分钟. 一、填空题(本大题满分56分) 本大题共有14题,考生应在答题卷的相应编号的空格内直接填写结果,每题填对得4分,否则一律得零分.1.函数xxy -+=11log 2的定义域是 . 2.函数x x y 22sin cos -=的最小正周期=T . 3.已知全集U =R ,集合{}|0,A x x a x =+∈R …,{}||1|3,B x x x =-∈R ….若()[2,4]U A B =- ð,则实数a 的取值范围是 .4.已知等差数列{}()n a n ∈*N 的公差为3,11-=a ,前n 项和为n S ,则n nn S na ∞→lim的数值是 . 5.函数)1,0(|log |)(≠>=a a x x f a 且的单调递增区间是 .6.函数2()(0)f x x x =-…的反函数是)(1x f -,则反函数的解析式是=-)(1x f .7.方程1)34(log 2+=-x x 的解=x .8.在△ABC 中,角C B A 、、所对的边的长度分别为c b a 、、,且ab c b a 3222=-+,则=∠C .9.已知i (i 11-=x 是虚数单位,以下同)是关于x 的实系数一元二次方程02=++b ax x 的一个根,则实数=a ,=b . 10.若用一个平面去截球体,所得截面圆的面积为16π,球心到该截面的距离是3,则这个球的表面积是 .11.已知直线05301221=+-=-+y x l y x l :,:,则直线21l l 与的夹角的大小是 .(结果用反三角函数值表示)12.已知实数y x 、满足线性约束条件30,40,350.x y x y x y -⎧⎪+-⎨⎪-+⎩………则目标函数1--=y x z 的最大值是 .13.某个不透明的袋中装有除颜色外其它特征完全相同的7个乒乓球(袋中仅有白色和黄色两种颜色的球),若从袋中随机摸一个乒乓球,得到的球是白色乒乓球的概率是72,则从袋中一次随机摸两个球,得到一个白色乒乓球和一个黄色乒乓球的概率是 . 14.已知函数)(x f y =是定义域为R 的偶函数. 当0x …时,161,02()2log 2xx f x x x ⎧⎛⎫<⎪ ⎪=⎨⎝⎭⎪⎩.……若关于x 的方程2[()]()0f x a f x b +⋅+=()a b ∈R 、有且只有7个不同实数根,则b a +的值是 .二、选择题(本大题满分20分) 本大题共有4题,每题有且只有一个正确答案,考生应在答题卷的相应编号上,将代表答案的小方格涂黑,选对得5分,否则一律得零分.15.已知a b ∈R 、,且0ab ≠,则下列结论恒成立的是 ( )A.a b +…B.2ab ba+… C.||2a bb a+… D.222a b ab +>16.已知空间直线l 不在平面α内,则“直线l 上有两个点到平面α的距离相等”是“l α ”的 ( )A.充分非必要条件B.必要非充分条件C.充要条件D.非充分非必要条件17.已知22,0a b a b ∈+≠R 、,则直线0=+by ax l :与圆:022=+++by ax y x 的位置关系是( )A.相交B.相切C.相离D.不能确定18.四棱锥S ABCD -的底面是矩形,锥顶点在底面的射影是矩形对角线的交点,四棱锥及其三视图如下(AB 平行于主视图投影平面)则四棱锥S ABCD -的体积= ( ) A.24 B.18D.8 三、解答题(本大题满分74分)本大题共有5题,解答下列各题必须在答题卷的相应编号规定区域内写出必要的步骤.19.(本题满分12分)本题共有2个小题,第1小题满分6分,第2小题满分6分.已知矩形11ABB A 是圆柱体的轴截面,1O O 、分别是下底面圆和上底面圆的圆心,母线长与底面圆的直径长之比为2:1,且该圆柱体的体积为32π,如图所示. (1)求圆柱体的侧面积S 侧的值;(2)若1C 是半圆弧11A B 的中点,点C 在半径OA 上,且12OC OA =,异面直线1CC 与1BB 所成的角为θ,求sin θ的值.20.(本题满分14分)本题共有2个小题,第1小题满分7分,第2小题满分7分.已知复数12cos i,1isin ,R z x z x x =+=-∈.(1)求||21z z -的最小值;(2)设21z z z ⋅=,记z z x f (Im Im )(=表示复数z 的虚部). 将函数)(x f 的图像上所有点的横坐标伸长到原来的2倍(纵坐标不变),再把所得的图像向右平移π2个单位长度,得到函数)(x g 的图像. 试求函数)(x g 的解析式.21.(本题满分12分)本题共有2个小题,第1小题满分6分,第2小题满分6分.某通讯公司需要在三角形地带OAC 区域内建造甲、乙两种通信信号加强中转站,甲中转站建在区域BOC 内,乙中转站建在区域AOB 内.分界线OB 固定,且OB =(1百米,边界线AC 始终过点B ,边界线OC OA 、满足75,30,45AOC AOB BOC ∠=∠=∠= .设OA x =(36x 剟)百米,OC y =百米.(1)试将y 表示成x 的函数,并求出函数y 的解析式;(2)当x 取何值时?整个中转站的占地面积OAC S ∆最小,并求出其面积的最小值.第21题图22.(本题满分18分)本题共有3个小题,第1小题满分6分,第2小题满分6分,第3小题满分6分.已知数列{}n a 满足n n n n n n a a a a a 3,)1(,12121221+=-+==+-(*n ∈N ). (1)求753a a a 、、的值;(2)求12-n a (用含n 的式子表示);(3)记n n n a a b 212+=-,数列{}n b *()n ∈N 的前n 项和为n S ,求n S (用含n 的式子表示).23.(本题满分18分)本题共有3个小题,第1小题满分6分,第2小题满分6分,第3小题满分6分.已知点D 在双曲线22221(0,0)x y C a b a b-=>>:上,且双曲线的一条渐近线的方程是03=+y x .(1)求双曲线C 的方程;(2)若过点)1,0(且斜率为k 的直线l 与双曲线C 有两个不同交点,求实数k 的取值范围;(3)设(2)中直线l 与双曲线C 交于B A 、两个不同点,若以线段AB为直径的圆经过坐标原点,求实数k 的值.黄埔(卢湾)区高考数学(文科)二模卷一、填空题1.()1,1-【解析】(探究性理解水平/对数函数的定义域)由对数函数的定义域,()()2101101,1 1.110xx x x x xx +⎧>⎪⇒+->⇒<∴-<<-⎨⎪-≠⎩则21log 1xy x +=-的定义域为()1,1.-2.π【解析】(探究性理解水平/二倍角公式、余弦函数周期性)22cos sin cos2.y x x x =-=2π=π.2T ∴=3.4a <-【解析】(探究性理解水平、解释性理解水平/集合的交集、补集、含有绝对值的不等式的解法)由题意,{}{}|,,|24,.A x x a x B x x x =-∈=-∈R R 厔?()[2,4].U A B =- ð.U B A ∴⊆ð4 4.a a ∴->⇒<- 4. 2 【解析】(探究性理解水平/等差数列、数列的极限)对于等差数列,()()111,3,11313 4.n a d a a n d n n =-=∴=+-=-+-=-()21135.222n n n S na d n n -=+=-2234lim lim 3522n n n n na n n S n n →∞→∞-∴=-43lim3522n n n→∞-=-2=. 5.[)1,+∞【解析】(探究性理解水平/对数函数的性质与图像)由对数函数的图像,得()|log |a f x x =的图像为:a >1 0<a <1第5题图()|log |(0,1)a f x x a a ∴=>≠且的单调递增区间为[)1,+∞.6.())10f x x -=…【解析】(探究性理解水平/反函数)()()20.f x x x =- …2.x y ∴=-()10,0).x x f x x-∴== 剟7.2log 3x =【解析】(探究性理解水平/对数) 2log (43)1x x -=+,∴1122log (43)log 2432.x x x x ++-=⇒-=令2(0)x μμ=>,则2230μμ--=,解得3μ=或1μ=-(舍),2log 3.x ∴=8.π6【解析】(探究性理解水平/余弦定理)由余弦定理,222cos 2a b c C ab ++===π.6C ∴=9.2,2a b =-=【解析】(探究性理解水平/复数的四则运算) 11i x =-是20x ax b ++=的一个根,将11i x =-代入方程,并化简得:()2i=+.a a b +202, 2.0a ab a b +=⎧∴⇒=-=⎨+=⎩10.100π【解析】(探究性理解水平/球的表面积) 圆的面积为16π,∴半径为4,又球心到截面距离为3,∴由勾股定理,球的半径为5.∴表面积为2=4π=100π.S R11.arccosarctan7)10或【解析】(探究性理解水平/直线的倾斜角与斜率、两角差的正切)设12,l l 的倾斜角分别为,αβ,则其夹角为()12tan tan 3tan 711tan tan 1(2)3αβαβαβ----===-++-⨯因为直线的夹角小于等于90 ,所以其夹角的正切值为7,即arctan7)或. 12.32-【解析】(探究性理解水平/二元一次不等式表示的平面区域)约束区域如图阴影部分所示:第12题图由图知,1z x y =--在B 点取得最大值,即40350x y x y +-=⎧⎨-+=⎩解得7494x y ⎧=⎪⎪⎨⎪=⎪⎩,所以max 7931442z =--=-.13.1021【解析】(探究性理解水平/等可能事件的概率)记所求事件为A ,分析题意知112527C C 10()C 21P A ==.14.1-【解析】(探究性理解水平/一元二次不等式的解法、函数的基本性质)由题意知,方程有解的条件:212402a b a x x ⎧⎪∆=-⎪-⎪=⎨⎪⎪=⎪⎩… 又因为该方程有7个不同的实根,即121141x x ⎧<<⎪⎨⎪=⎩, 解得1a b +=-.第14题图二、选择题15. C 【解析】(解释性理解水平/不等式的基本性质及其证明)A 、B 项要满足0,0a b >>,故不成立,D 项 1,1a b ==时,不成立,故选C. 16. B 【解析】(解释性理解水平、探究式理解水平/充分必要条件,直线与平面垂直、相交关系)由“l α ”可以得到“直线l 上有两个点到平面α的距离相等”,但由“直线l 上有两个点到平面α的距离相等”得到l 与平面α相交或平行,所以“直线l 上有两个点到平面α的距离相等”是“l α ”的必要非充分条件.17. B 【解析】(探究式理解水平/直线与圆的位置关系)由题可得圆的方程为2222()()224a b a b x y ++++=,圆心坐标为(,22a b --),直线l 到圆心距离为d ==,所以直线到圆心距离等于圆的半径,所以直线l 与圆相切,故选B.18. D 【解析】(探究式理解水平/解释性理解水平锥体,三视图)由四棱锥的三视图知四棱锥为底面长为4,宽为2的矩形,而四棱锥的高为3,所以四棱锥的体积为142383v =⨯⨯⨯=,故选D. 三、解答题19. (本题满分12分)本题共有2个小题,第1小题满分6分,第2小题满分6分.【解】(探究性理解水平/圆柱的表面积与体积公式,异面直线所成角)(1)设圆柱的底面圆的半径为R ,依据题意,有21124,32AA AB R R AA ==π⋅=π, 2分∴2R =.3分 ∴1=2π32πS R AA ⋅=侧.6分(2)设D 是线段11AO 的中点,联结111DC DC OC 、、,则11111,C O A B CD BB ⊥ . 8分因此,1C CD ∠就是异面直线1CC 与1BB 所成的角,即1C CD θ∠=. 9分 又2R =,11190CDC C O D ∠=∠=,∴11DC CC ==.11分∴sin θ==.12分小题满分7分.【解】(记忆水平、探究性理解水平/函数sin()y A x ωϕ=+的图像变化,复数的模,复数的四则运算,两角差的正弦,二倍角)(1)∵12cos i,1isin ,z x z x x =+=-∈R ,∴12||z z -=分=.4分∴当πsin()14x -=-,即2()4x k k π=π-∈Z 时,6分12min ||1z z -==.7分(2)∵12z z z =⋅,∴12sin cos (1sin cos )i z z z x x x x =⋅=++-.9分 ∴1()1sin cos 1sin 2()2f x x x x x =-=-∈R .10分将函数)(x f 的图像上所有点的横坐标伸长到原来的2倍(纵坐标不变)后,得到的图像所对应的函数是111sin 2y x =-. 11分把函数11sin 2y x =-的图像向右平移π2个单位长度,得到的图像对应的函数是211sin()22y x π=--.12分 ∴11()1sin()1cos ()222g x x x x π=--=+∈R .14分小题满分6分.【解】(探究性理解水平/基本不等式,函数模型的建立) (1)结合图形可知,BOC AOB AOCS S S +=△△△.1分于是,111(130(145sin 75222x y xy ++= ,4分解得(36)2y x x =-剟.6分(2)由(1)知,(36)2y xx =-剟,因此,21sin 7522AOCx S xy x ==-△ 8分42)4]2x x =-++-9分2+…(当且仅当422x x -=-,即4x =时,等号成立). 10分答:当400x =米时,整个中转站的占地面积OAC S △最小,最小面积是4(210+⨯平方米.12分22. (本题满分18分)本题共有3个小题,第1小题满分6分,第2小题满分6分,第3小题满分6分.【解】(探究性理解水平/数列的通项及求和) (1) n n n n n n a a a a a 3,)1(,12121221+=-+==+-(*n ∈N ),∴1211324325465376(1)0,33,14,313,112,339.a a a a a a a a a a a a =+-==+==+==+==-==+=6分 (2)由题知,有*21213(1)()n n n n a a n +--=+-∈N .7分∴112123222325225311313(1)3(1)3(1)3(1)n n n n n n n n a a a a a a a a --------⎫-=+-⎪-=+-⎪⎪⎬⎪-=+-⎪⎪-=+-⎭211n a a -⇒-121121(333)[(1)(1)(1)]n n --=++++-+-++- .10分 ∴*213(1)1()2n nn a n ---=-∈N .12分(3)由(2)可知,2213(1)(1)12n nnn n a a -+-=+-=-,n ∈*N .13分 ∴21232()n n n n b a a n -=+=-∈*N .14分 ∴123n n S b b b b =++++23(32)(32)(32)(32)n =-+-+-++-16分1*3(13)13232(N )1322n n n n n +-=-=⋅--∈-.18分23. (本题满分18分)本题共有3个小题,第1小题满分6分,第2小题满分6分,第3小题满分6分.【解】(探索性理解水平/双曲线的标准方程和几何性质,直线与双曲线的位置关系)(1)由题知,有22121,a b b a⎧-=⎪⎪⎨⎪=⎪⎩ 2分 解得221,31.a b ⎧=⎪⎨⎪=⎩4分因此,所求双曲线C的方程是221113x y -= 6分(2)∵直线l 过点)1,0(且斜率为k ,∴直线l :1y kx =+. 7分 联立方程组2231,1x y y kx ⎧-=⎨=+⎩得22(3)220k x kx ---=.又直线l 与双曲线C 有两个不同交点,∴22230,(2)4(3)(2)0.k k k ⎧-≠⎪⎨∆=---->⎪⎩ 10分 解得((k ∈ .12 分(3)设交点为1122(,)(,)A x y B x y 、,由(2)可得1221222,32.3k x x k x x k ⎧+=⎪⎪-⎨-⎪=⎪-⎩14分又以线段AB 为直径的圆经过坐标原点,因此,(OA OB O ⊥为坐标原点).15分于是,0,OA OB ⋅=即12120x x y y +=,21212(1)()10k x x k x x ++++=,22222(1)21033k k k k-+++=--, 解得1k =±.17分又1k =±满足230k -≠,且0∆>,所以,所求实数1k =±.。
2017年上海黄浦高考语文二模--2017.04.17
黄浦区2017年高考模拟考语文试卷2017年4月(完卷时间:150分钟满分:150分)考生注意:1.本考试设试卷和答题纸两部分,试卷包括试题与答题要求,所有答题必须涂(选择题)或写(非选择题)在答题纸上,做在试卷上一律不得分。
2.答卷前,务必在答题纸正面清楚地填写姓名、准考证号。
3.答题纸与试卷在试题编号上是一一对应的,答题时应特别注意,不能错位。
用2B铅笔作答选择题,非选择题部分必须使用0.5毫米的黑色墨水笔书写。
4.完卷时间150分钟;试卷满分150分。
一积累应用 10分1.按要求填空。
(5分)(1)念去去、千里烟波,________________。
(柳永《雨霖铃》)(2)落花水香茅舍晚,_________________。
(马致远《[________]寿阳曲·远浦帆归》)(3)同样是杜甫的诗,《江南逢李龟年》中“正是江南好风景,落花时节又逢君”与《登楼》“___________________,____________________”一联所用手法相似。
2.按要求选择。
(5分)(1)小王不幸遭遇车祸,情绪低落,以下句子适.合用来...鼓.励.他战胜困难的一项是()。
(2分)A.沉舟侧畔千帆过,病树前头万木春。
B.删繁就简三秋树,领异标新二月花。
C.九层之台,起于累土。
D.玉不琢,不成器。
(2)把下列画线句放回原文序号处,最.通顺..的一项是()。
(3分)2017年3月3日,《科学》杂志发表了题为《中国许昌发现的更新世晚期古老型人类头骨》的论文。
该文称在中国许昌发现了生活在10.5万年至12.5万年之前的“许昌人”,①这是一种新的古老类型人类,②中国古人类学家在近十年中开展了大量野外调查、发掘和化石研究工作,先后在湖北郧西黄龙洞、湖南道县福岩洞、安徽东至华龙洞等地发现了珍贵的古人类化石,③从而对中国更新世中、晚期人类演化的认识进一步深入。
④发现“许昌人”的灵井旧石器时代晚期遗址,在2007年和2014年两次出土人类头骨化石,这些发现被评为当年的十大考古发现之一,遗址已被国务院公布为国家级文物保护单位。
2017上海市黄浦区高三二模数学试题及答案
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2017届上海市黄浦区高三下学期二模考试物理试题及答案
上海市黄浦区2017届高考模拟考试(二模)物理试题(本卷测试时间为120分钟,满分150分) 第I 卷(共56分)一、单项选择题(共16分,每小题2分。
每小题只有一个正确选项。
) 1.下列物理公式属于定义式的是( ) (A )I =UR(B )a =Fm(C )ω= υr(D )E =Fq2.卢瑟福提出原子的核式结构模型,该模型建立的基础是( ) (A )α粒子的散射实验(B )对阴极射线的研究 (C )天然放射性现象的发现(D )质子的发现3.从宏观上看,气体分子热运动的平均动能与分子间势能分别取决于气体的( ) (A )体积和压强 (B )温度和体积(C )温度和压强(D )压强和温度4.现已建成的核电站发电的能量来自于( ) (A )天然放射性元素衰变放出的能量 (B )人工放射性同位素放出的能量(C)重核裂变放出的能量(D)化学反应放出的能量5.下列关于分子力的说法中,正确的是()(A)分子间既存在引力也存在斥力(B)液体难于被压缩表明液体中分子力总是斥力(C)分子总在做无规则运动,分子的速率分布是无规律的(D)扩散现象表明分子间不存在引力6.做平抛运动的物体,每秒的速度增量总是()(A)大小不等,方向不同(B)大小相等,方向不同(C)大小不等,方向相同(D)大小相等,方向相同7.一质子束入射到静止靶核2713Al上,产生如下核反应:p+2713Al→X+n,p、n分别为质子和中子,则产生新核的核子数和电荷数分别为()(A)27和12 (B)27和14 (C)28和13 (D)28和158.用某种单色光照射某金属表面,发生光电效应。
现将该单色光的光强减弱,则()(A)需要更长的照射时间才能发生光电效应(B)光电子的最大初动能减少(C )单位时间内产生的光电子数减少 (D )可能不发生光电效应二、单项选择题(共24分,每小题3分。
每小题只有一个正确选项。
) 9.右图为包含某逻辑电路的一个简单电路,L 为小灯泡,光照射电阻R 2时,其阻值将变得远小于电阻R 1。
2017年上海市黄浦区高考物理二模试卷(含详解)
2017年上海市黄浦区高考物理二模试卷一、单项选择题(共40分,1至8题每小题3分,9至12题每小题3分.每小题只有一个正确选项)1.(3分)卢瑟福提出原子的核式结构模型,建立该模型的实验基础是()A.α粒子散射实验B.α粒子轰击氮核的实验C.α粒子轰击铍核的实验D.研究阴极射线的实验2.(3分)声波与光波()A.都是电磁波B.都能在真空中传播C.都需要介质D.都能发生干涉现象3.(3分)从宏观上看,气体分子热运动的平均动能取决于气体的()A.压强B.温度C.体积D.密度4.(3分)如图所示,A、B为电风扇叶片上的两个质点,当电风扇匀速转动时,A、B两质点具有相同的()A.线速度B.周期C.向心加速度D.运动轨迹5.(3分)静止在光滑水平面上的物体,受到一个大小不为零的水平拉力作用,若拉力开始作用瞬间物体的速度大小为v,加速度大小为a,则下列判断中正确的是()A.v≠0,a≠0B.v=0,a≠0C.v≠0,a=0D.v=0,a=0 6.(3分)静电力常量k的单位是()A.N•m2•kg﹣2B.N﹣1•m﹣2•kg2C.N•m2•C﹣2D.N﹣1•m﹣2•C27.(3分)用某种单色光照射某金属表面,没有发生光电效应,下列做法中有可能发生光电效应的是()A.增加照射时间B.改用波长更长的单色光照射C.改用光强更大的单色光照射D.改用频率更高的单色光照射8.(3分)在物体自由下落过程中,某物理量A随位移s变化的关系如图所示,该物理量可能是()A.速度B.动能C.加速度D.机械能9.(4分)一列简谐横波在均匀介质中沿x轴正方向传播,波速为1m/s。
t=0时刻,该波的波形如图所示,P、Q分别为x=4m、x=7m处的质点,此时P质点恰好开始振动。
则t=5s时刻,Q点()A.经过平衡位置,向上运动B.经过平衡位置,向下运动C.位于波峰位置D.位于波谷位置10.(4分)如图,在车厢的顶部用一根细线悬挂一质量为m的小球.当车厢在水平直轨道上运动时,发现在某段时间内细线偏向右侧,与竖直方向保持为θ角,则这段时间内车厢可能()A.向右加速运动,加速度a=gsinθB.向左加速运动,加速度a=gsinθC.向右减速运动,加速度a=gtanθD.向左减速运动,加速度a=gtanθ11.(4分)某一密闭气体,分别以两个不同的体积做等容变化,这两个等容过程对应的p﹣t图象如图中的①、②所示.则相对应的V﹣T图象或p﹣V图象可能是下图中的()A.B.C.D.12.(4分)如图,两根平行放置的长直导线a和b通有大小分别为I和2I、方向相同的电流,导线b受到的磁场力大小为F,当加入一与导线所在平面垂直的匀强磁场后,导线b受到的磁场力为零,则此时a受到的磁场力大小为()A.B.F C.D.2F二、填空题(共22分,每个空格2分)13.(4分)放射性元素放出的三种射线中,穿透本领最强的是射线,电离本领最强的是射线.14.(4分)如图,A、B两个同轴线圈在同一平面,A线圈通有顺时针方向的电流,则穿过B线圈的磁通量方向为垂直纸面向(选填“里”或“外”);当A内电流增大时,B线圈会产生(选填“顺”或“逆”)时针方向的感应电流.15.(4分)如图所示,两端开口、内径均匀的玻璃弯管固定在竖直平面内,两段水银柱A和C将空气柱B封闭在玻璃管左侧,平衡时A段水银有一部分在水平管中.若保持温度不变,向右管缓缓注入少量水银,则再次平衡后,水银柱C两端液面的高度差h将,空气柱B的长度将.(均选填“增大”、“减小”或“不变”)16.(4分)如图所示,电源电动势E=10V,内阻r=1Ω,定值电阻R1=3Ω.电键S 断开时,定值电阻R2的功率为4W,电源的输出功率为4.75W,则电流表的读数为A;电键S接通后,电流表的读数为2A,则定值电阻R3=Ω.17.(6分)如图1所示,当盛沙的漏斗下面的薄木板被水平匀加速拉出时,可近似看作做简谐振动的漏斗漏出的沙在板上形成的一段曲线如图2所示.已知该沙摆的摆长为80cm,则沙摆做简谐振动的周期为s;实验中,木板上x=7.0cm的位置经过沙摆正下方时,木板的速度大小为m/s,木板做水平匀加速直线运动的加速度大小为m/s2.(重力加速度g取10m/s2)三、综合题(共38分)注意:第19、20题在列式计算、逻辑推理以及回答问题过程中,要求给出必要的图示、文字说明、公式、演算等.18.(10分)某小组用如图1所示的装置验证牛顿第二定律。
9 2017届上海市黄浦区高三英语二模试卷(作文有范文)
黄浦区2017年高考模拟考英语试卷(完卷时间:120分钟满分:140分)2017年4月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. 2 litres. B. 13 litres. C. 26 litres. D. 52 litres.2. A. In an English class. B. In a swimming pool. C. On a bus. D. In a sporting goods store.3. A. By bus. B. By underground. C. By taxi. D. By car.4. A. Doctor and patient. B. Teacher and student.C. Employer and Employee.D. Salesman and customer.5. A. Have a lesson. B. Take a test. C. See a film. D. Go to bed.6. A. Difficult. B. Memorable. C. Uninteresting. D. Worthwhile.7. A. She wants a bottle of juice. B. She’d like some alcohol.C. The red wine in this bar is perfect.D. The location of the bar is unknown.8. A. An excellent résumé. B. An entry form.C. A job offer.D. The position of system engineer.9. A. It’s famous. B. It’s profession al. C. It’s expensive. D. It’s cheating.10. A. The 26-month-old baby is always busy watching videos.B. TV and videos may hurt a child’s language development.C. Nothing can replace parents in kids’ language development.D. Children usually watch TV too passively to learn something.Section BDirections: In Section B, you will hear one longer conversation and two short passages, and you will be asked several questions on each of the conversation and the passages. The conversation and 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 dialogue.11. A. Encouraging. B. Dishonest. C. Interesting. D. Nervous.12. A. How to start his own business. B. How to develop a real interest.C. How to speak to a woman bravely.D. How to balance his study and work.13. A. He has too loose a schedule. B. He loves the feeling with students.C. He is dissatisfied with his current job.D. He wants to determine his future development.Questions 14 through 16 are based on the following passage.14. A. Kids threw litter everywhere. B. The camp director gave rude orders.C. Some mysterious plastic litter was found.D. Kids’ joint efforts led to a clean camp.15. A. By taking pictures of litter he picked up.B. By sharing photos of the terribly dirty planet.C. By keeping a record of crowdsourced cleaning-up.D. By inspiring kids to pick up five pieces of litter every day.16. A. There is strength in numbers. B. Birds can help to pick up litter.C. Litter is artistic and approachable.D. More straws should be used in the café.Questions 17 through 20 are based on the following passage.17. A. To enable students to reject violence. B. To help students face struggles more properly.C. To improve students’ health.D. To eliminate poverty more effectively.18. A. How to calm down by talking to experts. B. How to clear their mind throughout the day.C. How to make their teachers happy.D. How to respond to situations better.19. A. More students dropped out last year. B. There is less bad behavior on campus.C. Students are less responsible for their study.D. More students are willing to be sent to the office.20. A. Its effect remains to be seen. B. Everyone can benefit from it.C. It helps to get rid of poverty to some extent.D. There is enough evidence to show its significance.II. Grammar and VocabularySection 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.Should Children Ban Their Parents from Social Media?It might be taken for granted - but no previous generation of children will have had the experience of having their entire childhoods intensively and publicly documented in this way. But the very first people to have had some of their childhood pictures __21__ (post) online are not always happy about their formative years being preserved in digital world.Parents may not realize it, but by posting photos and videos of their children online, they are creating an identity for their children __22__ might not be welcomed. Lucy is a good example. She said she had asked her dad to de-tag her from “stuff that doesn’t necessarily represent __23__ I am now. That’s not something I’d want to remember every time I log on to Facebook… It isn’t the best memories, which is the way you’d like to reveal __24__ on social media.”Stories about online privacy are often about children and teenagers being warned of the dangers of publishing too much personal information online. But in this case it’s their parents who are in the spotlight. For some parents, __25__ (safe) option is avoiding social media altogether.Kasia Kurowska from Newcastle is expecting her first child in June and has agreed with her partner Lee to impose a blanket ban __26__ her children are old enough to make their own decisions about social media. But she has two big concerns about her plan. Firstly, it will be difficult __27__ (impose). “W hen their auntie comes roundand takes a picture, we’re going to have to be like paparazzi police, saying, please don’t put these on Facebook. And secondly, the child might dislike __28__ (not own) an online presence, especially if all of their friends do. But I __29__ (keep) a digital record of them. It just won’t have been shared on a platform __30__ the masses.”Section BDirections: Fill in each blank with a proper word chosen from the box. Each word can be used only once. NoteIII. Reading ComprehensionSection ADirections: For each blank in the following passages 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.Being Bigger isn’t Necessarily Considered BetterThe firm, which famously started life in 1939, has now declared a new age: that of smaller start-up. By 2014, when Ms Whitman announced HP’s decision to separate its computer and printer business from its corporate hardware and services operations, the company had grown into a clumsy __41__. Its fortunes started to __42__ with a series of expensive and much criticized purchases. By 2012 it had lost its position as the world’s leading supplier of PCs to Lenovo. The dramatic __43__ was aimed at helping the firm adapt to the new age of mobile and online computing, responding to shareholder demands for more aggresive__44__.“I would go from laser jet printing to our big enterprise services contracts where we were running the back end of IT for many big companies and organizations. These two things are not like each other. So the ability tofocus and engage with customers on a(n) n__45__ set of objectives and business outcomes... I can already see the difference.” Ms Whitmann, who now heads the new spin-off, Hewlett Packard Enterprise (HPE) selling servers and services, says the change has already __46__ her performance. “One big change is it__47__ each of the divisions to pursue the strategy that is right for them. __48__ , there is ‘no way’ printer and PC company HP Inc’s decision last year to buy Samsung’s printing business for $1bn would have happened when it was part of the larger firm. So it’s that ability to drive your own program, not __49__ by other businesses that don’t have the same characteristics.” Ms Whitman is so convinced her strategy is working that she’s __50__ HPE further, spinning off both its business services division and its software business into separate companies last year.Her assumption that bigge r doesn’t always mean better seems __51__. After all, a larger company should find it easier to dominate the market it operates in. But the rapid rise of much smaller start-ups, competing and often overtaking these established powerful companies means the accepted wisdom that _s_52__ equals success is being challenged. __53__ in 2014, eBay carved PayPal, the electronic payments arm it bought in 2001, off from the main online sale business.Box, a cloud storage company, is another case in point. Founder Aaro n Levie says “Whether Uber, Airbnb, those same lessons __54__, which is if you can build something that’s cheaper, faster and more scalable and delivers a far better customer experience than what the traditional sellers were able to do, then you can be extremely __55__.”to other competitors.41. A. appearance B. construction C. giant D. possession42. A. decline B. increase C. stay D. vary43. A. adventure B. combination C. development D. split44. A. behavior B. growth C. markets D. policies45. A. ambitious B. complex C. narrow D. overall46. A. delivered B. improved C. measured D. standardized47. A. allows B. employs C. reminds D. threatens48. A. All in all B. For example C. On the contrary D. What’s more49. A. held back B. kept on C. looked over D. taken down50. A. dissolved B. expanded C. operated D. shrunk51. A. fundamental B. reasonable C. surprising D. widespread52. A. diligence B. discipline C. profit D. size53. A. Comparatively B. Generally C. Similarly D. Unexpectedly54. A. apply B. fail C. hide D. increase55. A. friendly B. miserable C. motivated D. troublesomeSection 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)Born in 1823 in Wales, Alfred Russel Wallace was a man of modest means, but he had a passion for natureand he chose to follow it. He started out collecting insects as a hobby, but eventually his longing for adventure led him to explore the world.Luckily for Wallace, Victorian Britain was discovering an interest in weird and wonderful insects, so the demand from museums and private collections for these beasts was growing. Wallace was able to make a living doing what he loved: collecting beetles and other insects.But his first trip of exploring the world ended in disaster. Wallace proceeded to the Amazon in South America. Its giant forests promised a wealth of new species, sure to put him on the scientific map. The trip took 6 weeks and involved every mode of transport in existence at the time. After four years Wallace set off for home, but his boat caught fire in the middle of the Atlantic. Everyone survived, but Wallace had to watch in despair as his samples went up in flames – including live animals he was bringing home that were trying to jump free of the flames. But he did not let it stop him.In 1854, Wallace set off on another adventure, this time to the Malay Archipelago. Wallace found himself humbled by the new and exciting things he saw. He later recalled: “As I lie listening to these interesting sounds, I think how many besides myself have longed to see with their own eyes the many wonderful and beautiful things which I am daily encountering.”In 1858, Wallace wrote what became known as the “Ternate essay”: a piece of writing that was to change our understanding of life forever. In his essay, Wallace argued that a species would only turn into another speciesif it was struggling for existence. Henry W. Bates was one of many scientists delighted by the idea of evolutionby natural selection. In a letter to Wallace, he wrote: “T he idea is like truth itself, so simple and obvious that those who read and understand it will be struck by its simplicity; and yet it is perfectly original.”56. __________ finally caused Wallace to explore the world.A. His strong affection for natureB. His life-long devotion to beastsC. His deep love for adventureD. Increasing demand for insects57. Which of the following is TRUE about Wallace’s first trip?A. It took him six weeks to explore the Amazon with all kinds of transportation.B. He made a scientific study of a fairly limited number of insects.C. The fire cost him his four years’ collection of animals.D. His passion cooled after the disaster.58. Wallace felt _____ on the Malay Archipelago.A. fearlessB. luckyC. challengedD. risky59. Wallace’s idea on evolution of natural selection __________.A. made no sense at that timeB. built up a new concept of lifeC. was too simple to be trueD. revealed the origin of nature(B)Virtual realityProbably the most exciting tech development of recent times, virtual reality (VR) has arrived, with sufficient options available to the consumer who’s searching for anextra amount of high-tech fun. The cheapest way to get a high-end VR experiencecomes courtesy of Sony. I ts PlayStation VR doesn’t require a tricked-out PC orexpensive phone – it works with the Playstation 4 control board and comes with a fewgreat games in its library. There is some equipment you can purchase to enhance the experience, but if you’ve already got a PS4 you can enter the world of VR for just $400. Other high-end offerings like the HTC Vive and Oculus Rift, as well as mobile options like Samsung’s Gear VR, will get your head in the game.Wireless headphonesCombining ease of use with the ability to move wild around your home, gym orworkplace, wireless headphones just make sense. And there are plenty of practicaloptions to suit any budget. The Bose QuietComfort 35 wireless headphones aredefinitely worth a test drive, though. The full-size, around-ear Bluetooth headphoneshighlight active noise cancellation and double as a headset for making phone calls.They’ve even earned the Editor’s Choice award at and can be purchased forless than $400 online.Digital camerasWhile your phone is a worthy assistant, there’s no substitute for a real camera when it comes to taking the perfect picture. And these days you can get quality specifications ina package that’s almost as small as your smartphone. The shiny design of the FujifilmX70, $699, makes it the perfect companion, or you could go retro with the Olympus PEN-F ($1,200) that offers old school looks alongside cutting edge technology. Domestically, it’s worth checking out Xiaomi’s mirrorless Yi M1 for a more affordable option. With a high-end 20-megapixel(兆像素)sensor and the ability to host multiple lenses, it’s available from just 2,199 yuan.60. Sony can provide high-tech fun at the lowest cost because __________.A. players can play free games onlineB. PS4 owners don’t need any other deviceC. it gives players adequate experienceD. players have purchased expensive PCs61. What is Bose QuietComfort 35 wireless headphones’ s elling point promoted in the passage?A. They have various types to meet users’ need s.B. Users can reduce noise manually.C. They work better in the wild.D. Users can make phone calls with the headphones.62. If your friend, who favors everything in the styles of the past, plans to make perfect pictures with a newdevice, you will most probably recommend __________.A. A smart phone.B. Fujifilm X70.C. Olympus PEN-F.D. Yi M1.(C)Naquela Wright’s life took an unexpected turn when she lost her eyesight as a teenager, but even when her world became dark, the New Jersey resident didn’t want to qu it social media.Using Facebook was a challenge at first. Diagnosed in 2010 with pseudotumor cerebri, a rare health condition in which pressure increases around the brain and can result in the loss of vision, Wright learned how to use a screen reader to read the site through the touch of the keyboard and sound of a robotic voice. Still, when a friend sends her a photo, Wright often has no clue what the image shows.Now Facebook is trying to solve this problem by exploiting the power of artificial intelligence to create new tools that not only describe items in a photo but allows users to ask what’s in an image.“I can have a basic picture in my mind of what’s going on in the picture and now I can comment on my own,” said Wright, who got to try out the new tools that are still being tested. “Of course, it’s different, but it’ssomething more than I had.”An estimated 285 million people are visually disabled globally, according to the World Health Organization, and research conducted by Facebook showed that b lind users have trouble figuring out what’s in a photo because the description isn’t clear or doesn’t exist.Facebook has made it easier to skim through the content on its website with a screen reader by improving HTML headings, adding alternative text for images, launching keyboard shortcuts, and more. Using artificial intelligence to describe photos is only a part of these ongoing efforts.With 1.5 billion users, Facebook isn’t the only social media company that wants to improve its website for the visually disabled. Along with Facebook and other major tech firms, Twitter and LinkedIn have their own accessibility teams and belong to an initiative called “Teaching Accessibility”.Jeff Wieland, Facebook’s head of accessibility engineering, said the group wan ts to educate more engineers, especially early in college, about designing products that are compatible with the disabled and others. “We really don’t want accessibility to be the luxury of a handful of companies,” Wieland said. “We want everything around the world to be built with accessibility in mind.”63. What tool helps the visually disabled to read Facebook?A. A screen reader.B. A special keyboard.C. A helpful robot.D. HTML headings.64. What can be inferred from the passage about the new tool created by Facebook?A. It adds a lot of shortcuts on the keyboard.B. It helps users to employ their senses other than sight.C. It meets no competitors with its advanced technology.D. It inspires more engineers to explore artificial intelligence.65. The underlined phrase in the last paragraph “are compatible with” most probably means __________.A. are unaffordable toB. bring harm toC. keep company ofD. well suit66. Which of the following is the best title for this passage?A. Screen reader: tool to access social mediaB. Ongoing efforts: strength to improve websitesC. Artificial intelligence: power to help the blindD. Teaching accessibility: initiative to educate engineersSection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentencefoolish mistake or practicing a tricky speech ahead of time, you’ll have felt the social restriction against communicating with yourself in words. According to the well-known saying, talking to yourself is the first sign of madness.__67__ Talking to ourselves, whether out loud or silently in our heads, is a valuable tool for thought. Far from being a sign of foolishness, self-talk allows us to plan what we are going to do, manage our activities, regulate our emotions and even create a narrative of our experience.Take a trip to any preschool and watch a small child playing with her toys. You are very likely to hear her talking to herself: offering herself directions and giving voice to her frustrations. __68__ We do a lot of it when we are young – perhaps one reason for our shyness about continuing with it as adults.As children, according to the Russian psychologist Lev Vygotsky, we use private speech to regulate our actions in the same way that we use public speech to control the behavior of others. __69__ Psychological experiments have shown that the distancing effect of our words can give us a valuable perspective on our actions. One recent study suggested that self-talk is most effective when we address ourselves in the second person: as “you” rather than “I”.We internalize the private speech we use as children – but we never entirely put away the out-loud version. __70__ You’re sure to see an athlete or two getting themselves ready for a sharp phrase or scolding themselves after a bad shot.Both kinds of self-talk seem to bring a range of benefits to our thinking. Those words to the self, spoken silently or aloud, are so much more than lazy talk.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.Moustache(胡子)for Cash“Movember”, as the annual event is known, sees men in countries including the UK, US and Australia grow out their facial hair while collecting sponsorship money from friends, family and colleagues, with the money going to cancer charities.The month of no shaving began unofficially in 2003, when a pair of men from Australia persuaded their family to join them in growing a moustache in order to encourage men to get themselves checked for cancer, which is seen as distasteful by some males. A year later, the group decided to set up the Movember Foundation, asking friends and colleagues to offer donations of money to support their efforts, and raised a massive A$54,000 which was shared between a number of health projects. With thanks most likely to social media, Movember soon went global and the foundation now operates worldwide, having raised over £440 million since 2004. The effects of the fundraising are wide-reaching, which had made a significant discovery in the treatment of cancer.The issue of some men being too self-willed to visit their doctor for a checkup, or perhaps being raised in a culture of “tough it out”, has led some males to neglect their health, which may mean it could be too late if something potentially deadly did develop. However, Movember is helping to break down the shame of male health by making it more accessible, meaning that men are more likely to visit their doctors. They found a way to appeal to men in a way that other campaigns just don’t – with a sort of blokey①jokiness.①blokey: behaving in a way that is supposed to be typical of men , especially men enjoying themselves in a group.V. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.72. 永远不要对你孩子的缺点熟视无睹。
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黄浦区2016学年第二学期期中高三年级英语学科教学质量监测试卷I. Listening ComprehensionII. Grammar and VocabularySection ADirections: Read the following two passages. Fill in the blanks to make the passage coherent. For the blanks with a given word, fill in each blank with the proper form of the given word. For the other blanks, fill in each blank with one proper word. Make sure that your answers are grammatically correct.Should Children Ban Their Parents from Social Media ?It might be taken for granted –but no previous generation of children will have had the expenence of having their entire childhoods intensively and publicly documented in this way . But the very first people to have had some of their childhood picture s _____21____(post) online are not always happy about their formative years being preserved in digital world .Parents may not realize it , but by posting photos and videos of their online , they are creating an identity for their children ____22_____might not be welcomed . Lucy is a good example . She said she had asked her dad to de-tag her from “stuff that doesn’t necessary represent ___23_____I am now . That’s not something I’d want to remember every time I log on to Facebook -------- It isn’t the best memories , which is the way you ‘d like to reveal ___24_____on social media .”Stones about online privacy are often about children and teenagers being warmed of the dangers of publishing too much personal information online. But in this case it’s their parents who are in the spotlight . For some parents , ____25_____(safe) option is avoiding social media altogether .Kasia Kurowaska from Newcastle is expecting her first child in June and has agreed with her partner Lee to impose a blanket ban _____26____her children are old enough to make their own decision about social media . But she has two big concerns about her plan . Firstly , it will be difficult ____27_____(impose) .”When their auntie comes round and takes a picture , we’re going to have to be like paparazzi police , saying , please don’t put these on Facebook . And secondly , the child might dislike _____28_____(not own ) an oline presence , especially if all of their friends do . But I _____29_____(keep ) a digital record of them . It just won’t have been shared on a platform ____30____the masses.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. criticizeB. desperatelyC. establishD. featureE. focusF. gratitudeG. hearfelt H. humanity I . influence J. present K. touchletters Brought Back to LifeLetters as a way of communication have long given way to phone calls and WeChat messages . But a TV shows , Letters Alive , is helping bring this old way to keep in touch back into the ___31___.Letters Alive took it idea from a UK program with a similar name , Letters Live . Both shows_____32__-famous actors and actresses , but there is no gossip , no eye-catching visual effects. Instead , it’s just one person walking up to a microphone and reading a letter .But these are not just any letters . They vary greatly in time and subjects . There is , for example , a passionate letter that famous painter Huang Youngyu wrote to playwright Cao Yu 30 years ago to ____33____ his lack of creativity . There is also a(n) ____34_____note from Spring and Autumn Period written by two ordinary young soldiers to their elder brother to report their lives in the war zone.Compared to published texts , letters also come with a personal ____35____.One example from Letters live was a note of ____36_____from the mother of a dying child to JK Rowling , author of the Harry Potter books . It reads :’ Mrs Rowling ,cancer threatened to take everything from my daughter , and your books turned out to be the castle we so ___37_____needed to hide in .”According to Guan Zhengwen , the director of Letter Alive , it is this kind of ____38_____behind every letter that strikes a harmony with the audience .’ It’s a thing of the past that entertainment shows _____39____themselves only with pretty face. “ Guan told Sohu News ,” Entertainmen t industry is starting to switch to a(n) __40_____on wisdom and intelligence .”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.Being Bigger isn’t Necessarily Considered BetterThe film , which famously started life in 1939, has now declared a new age , that of smaller start-up . By 2014, when Ms Whitman announced HP’s decision to separate i ts computer and printer business from its corporate hardware and services operations , the company had grown into a clumsy ____41____Its fortunes started to ____42_____with a series of expensive and much criticized purchase. By 2012 it had lost its position as the World ‘s leading supplier of PCs to Lenovo . The dramatic ____43____was aimed at helping the firm adapt to the new age of mobile and online computing , responding to shareholder demands for more aggressive ______44_____.“ I would go from laser jet printing to our big enterprise services contracts where we were running the back end of IT for many big companies and organizations . These two things are not like each other . So the ability to focus and engage with customers on a(n)_____45_____set of objectives and business outcomes . I can already see the differences.” Ms Whitmannn ,who now heads the new spin-off . Hewlett Packard Enterprise ( HPE) selling servers and services, says the change has already ___46______her performance . “ One big chang e is it _____47_____each of the divisions to pursue the strategy that is right for them. ____48_____, there is ‘no way ‘ printer and PC company HP Inc’s decision last year to by Samsung’s printing business for $1 bn would have happened when it was part of the larger firm . So it’s that ability to drive your own program , not ____49___by other businesses that don’t have the same characteristics .” Ms Whitman is so convinced her strategy is working that she’s ____50_____HPE futher , spinning off both its business services division and its software business into separate companies last year.Her assumption that bigger doesn’t always mean better seems ____51____. After all , a larger company should find it easier to dominate the market it operates in . But the rapid rise of much small start-up s , competing and often overtaking these established powerful companies means the accepted wisdom that ____52_____equals success is being challenged .____53______in 2014, eBay carved PayPal , the electronic payments arm it bought in 2001, off from the main online sale business .Box , a cloud storage company , is another case in point. Founder Aaron Levie says ,” Whether Uber , Airbnb ,those same lessons _____54____, which is if you can build something that’s cheaper , faste r and more scalable and delivers a far better customer experience than what the traditional sellers were able to do , then you can be extremely ___55_____.41. A. appearance B. construction C. giant D. possession42. A. decline B. increase C. stay D. vary43. A. adventure B. combination C. development D. split44. A. behavior B. growth C. markets D. policies45. A. ambitious B. complex C. narrow D. overall46. A. delivered B. improved C. measured D. standardized47. A. allows B. employs C. reminds D.threatens48. A. All in all B. For example C. On the contrary D. What’s more49. A. held back B. kept on C. looked over D. taken down50. A. dissolved B. expanded C. operated C. shrunk51. A. fundamental B. reasonable C. surprising D. widespread52. A. diligence B. discipline C. profit D. size53. A. Comparatively B. Generally C. Similarly D. Unexpectedly54. A. apply B. fail C. hide D. increase55. A. friendly B. miserable C. motivated D. troublesomeSection 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)Born in 1823 in Wales , Alfred Russel Wallace was a man of modest means , but he had a passion for nature and he chose to follow it . He started out collecting insects as a hobby , but eventually his longing for adventure led him to explore the world .Luckily for Wallace , Victorian Britain was discovering an interest in weird and wonderful insets ,so the demand from museums and private collections for these bests was growing . Wallace was able to make a living doing what he loved : collecting beetles and other insects .But his first trip of exploring the world ended in disaster . Wallace proceeded to the Amazon in South America . Its giant forests promised a wealth of new species , sure to put him on the scientific map . The trip took 6 weeks and involved every mode of transport in existence at the time . After four years Wallace had to watch in despair as his samples went up in flames ----including live animals he was bringing home that were trying to jump free of the flames . But he did not let it stop him .In 1854, Wallace set off on another adventure , this time to the Malay Archipelago . Wallace found himself humbled by the new and exciting things he saw. He later recalled : “ As I lie listening to these interesting sounds , I think how many besides myself have longed to see with their own eyes the many wonderful and beautiful thingswhich I am daily encountering .”In 1858, Wallace wrote what became as the ‘Temate essay “: a piece of writing that was to change our understanding of life forever . In his essay , Wallace argued that a species would only turn into another species if it was struggling for existence . Henry W. Bates was one of many scientists delighted by the idea of evolution by natural selection . In a letter to Wallace , he wrote :” The idea is like truth itself , so simple and obvious that those who read and un derstand it will be stuck by its simplicity , and yet it is perfectly original .”56. __________finally caused Wallace to explore the world ?A. His strong affection for natureB. His life-long devotion to beastsC. His deep love for adventureD. Increasing demand for insects57.Which of the following is True about Wallace’s first strip ?A. It took him six weeks to explore the Amazon with all kinds of transportationB. He made a scientific study of a fairly limited number of insects .C. The f ire cost him his four years’ collection of animalsD. His passion cooled after the disaster58. Wallace felt _________on the Malay Archipelago .A. fearlessB. luckyC. challengedD. risky59. Wallace’s idea on evolution of natural selection ___________.A. made no sense at that timeB. built up a new concept of lifeC. was too simple to be trueD. revealed the origin of natureBVirtual realityProbably the most exciting tech development of recent times , virtual reality (VR) has arrived , with sufficient options available to the consumer who ‘s searching for an extra amount of high-tech fun . The cheapest way to get a high-end VR experience comes courtesy of Sony . Its Play Station VR doesn’t require a tricked-out PC or expensive phone-it works with the Playstation 4 control board and comes with a few great games in its library . There is a some equipment you can purchase to enhance the exper ience , but if you ‘ve already got a PS4 you can enter the world of VR for just $400. Other high –end offerings like the HTC Vive and Oculus Rift , as well as mobile options like Samsung’s Gear VR, will get your head in the game .Wireless headphonesCombining ease of use with the ability to move wild around your home , gym or workplace , wireless headphones just make sense . And there are plenty of practical options to suit any budget . The Boss QuietComfort 35 wireless headphones are definitely worth a test drive , though . The full-size , around –ear Bluetooth headphones highlights active noise cancellation and double as a headset for making phone calls . They ‘ve earned the Editor ‘s Choice award at and can be purchased for less than $400 online.Digital camerasWhile your phone is a worthy assistant , there’s no substitute for a real camera when it comes to taking the perfect picture . And these days you can get quality specifications in a package that’s almost as small as your smartph one. The shiny design of the Fujifilm X70, $ 699, makes it the perfect companion , or you could go retro with the Olympus PEN-F($1,200) that offers old school looks alongside cutting edge technology . Domestically , it’s worth checking out Xiaomi’s mirror less Yi MI for a more affordable option. With a high-end 20 –megapixel (兆像素) sensor and the ability to host multiple lenses , it’s available from just 2,199 yuan .60. Sony can provide high-tech fun at the lowest cost because _________A. players can play free games onlineB. PS4 owners don’t need any other deviceC. it gives players adequate experienceD. players have purchased expensive PCs.61. What is Bose Quiet Comfort 35 wireless headphones’s selling point promoted in the pas sage ?A. They have various types to meet users’ needsB. Users can reduce noise manuallyC. They work better in the wildD. Users can make phone calls with the headphones62. If your friend , who favors everything in the styles of the past , plans to make perfect pictures with a new device , you will most probably recommend ________.A. A smart phoneB. Fujifilm X70C. Olympus PEN-FD. Yi Mi(C)Naquela Wright’s life took an unexpected turn when she lost her eyesight as a teenager, but even when her world became immersed in darkness, the New Jersey resident didn’t want to quit social media.Using Facebook was a challenge at first. Diagnosed in 2010 with pseudotumor cerebri, a rare health condition in which pressure increases around the brain and can result in the loss of vision, Wright learned how to use ascreen reader to read the site through the touch of keyboard and sound of a robotic voice. Still, when a friend sends her in a photo, Wright often has no clue what the image shows.Now Facebook is trying to solve this problem by exploiting the power of artificial intelligence to create new tools that not only describe items in a photo but allows users to ask what’s in an image.“I can have a basic picture in my mind of what’s going on in the picture and now I can comment on my own,” said Wright, who got to try out the new tools that are still being tested. “Of course, it’s different, but it’s something more than I had.”An estimated 285 million people are visually disabled globally, according to the World Health Organization, and research conducted by Facebook showed that blind users have trouble figuring out what’s in a photo because the description isn’t clear or doesn’t exist.Facebook has made it easier to skim through the content on its website with a screen reader by improving HTML headings, adding alternative text for images, launching keyboard shortcuts, and more. Using artificial intelligence to describe photos is only a part of these ongoing efforts.With 1.5 billion users, Facebo ok isn’t the only social media company that wants to improve its website for the visually impaired. Along with Facebook and other major tech firms, Twitter and LinkedIn have their own accessibility teams and belong to an initiative called “Teaching Accessibility.”Jeff Wieland, Facebook’s head of accessibility engineering, said the group wants to educate more engineers, especially early on in college, about designing products that are compatible with the disabled and others. “We really don’t want accessibility to be the luxury of a handful of companies,” Wieland said. “We want everything around the world to be built with accessibility in mind.”63. What tool helps the visually disabled to read Facebook?A. A screen readerB. A special keyboardC. A helpful robotD. HTML headings64 What can be inferred from the passage about the new tool created by Facebook?A. It adds a lot of shortcuts on the keyboard.B. It helps users to employ their senses other than sightC. It meets no competitors with its advanced technology.D. It inspires more engines to explore artificial intelligence65. The underlined phrase in the last paragraph “are compatible with” most probably means ________.A. are unaffordable toB. bring harm toC. keep company ofD. well suit66. Which of the following is the best title for this passage?A. Screen reader: tool to access social mediaB. Ongoing effort: strength to improve websitesC. Artificial intelligence: power to help the blindD. Teaching accessibility: initiative to educate engineerSection CDirections:Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentenceYour Own Best FriendTalking to yourself may seem a little shameful. If you’ve ever been overheard criticizing yourself for a foolish mistake or practicing a tricky speech ahead of time. you’ll have felt the social restriction against communicating with yourself in words. According to the well-known saying, talking to yourself is the first sign of madness.___67___ Talking to ourselves, whether out loud or silently in our heads, is a valuable tool for thought. Far from being a sign of foolishness, self-talk allows us to plan what we are going to do, manage our activities, regulate our emotions and even create a narrative of our experience.Take a trip to any preschool and watch a small child playing with her toys. You are very likely to hear her talking to herself: offering herself directions and giving voice to her frustrations. ___68___ We do a lot of it when we are young – perhaps one reason for our shyness about continuing with it as adults.As children, according to the Russian psychologist Lev Vygotsky, we use private speech to regulate our actions in the same way that we use public speech to control the behavior of other. ___69___.Psychological experiments have shown that the distancing effect of our words can give us a valuable perspective on our actions. One recent study suggested that self-talk is most effective when we address ourselves in the second person:“you”rather than “I”.We internalize the private speech we use as children – but we never entirely put away the out-loud version. ___70___ You’re sure to see an athlete or two getting themselves ready for a sharp phrase or scolding t hemselves after a bad shot.Both kinds of self-talk seem to bring a range of benefits to our thinking. Those words to the self, spoken silently or aloud, are so much more than lazy talk.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.Moustache(胡子)for Cash“Movember”, as the annual event is known, sees men in countries including the UK, US and Australia grow out their facial hair while collecting sponsorship money from friends, family and colleagues, with the money going to cancer charities.The month of no shaving began unofficially in 2003, when a pair of men from Australia persuaded their family to join them in growing a moustache in order to encourage men to get themselves checked for cancer, which is seen as distasteful by some males. A year later, the group decided to set up the Movember Foundation, asking friends and colleagues to offer donations of money to support their efforts, and raised a massive A$54,000 which was shared between a number of health projects. With thanks most likely a social media, Movember soon went global and the foundation now operates worldwide. having raised over £440 million since 2004. Theeffects of the fundraising are wide-reaching, which had made a significant discovery in the treatment of cancer.The issue of some men being too self-willed to visit their doctor for a checkup, or perhaps being raised in a culture of “touch it out”,has led some males to neglect their health, which may mean it could be too late if something potentially deadly did develop. However, Movember is helping to break down the shame of male to appeal to men in a way that other campaigns just don’t – with a sort of blokey①jokiness.①blokey:behaving in a way that is supposed to be typical of men, especially men enjoying themselves in a group.V. TranslationDirection:Translate the following sentences into English, using the words given in the brackets.72. 永远不要对你孩子的缺点熟视无睹。