2017-2018学年上海市浦东新区建平中学高三下学期9月开学考

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2018学年上海市建平中学高三(上)9月月考数学试卷解析版

2017-2018学年上海市建平中学高三（上）9月月考数学试卷一、填空题1．（3分）在（x+a）5的二项式展开式中，x2的系数与x3的系数相同，则非零实数a的值为．2．（3分）袋中共有15个除颜色外完全相同的球，其中10个白球5个红球，从袋中任取2个球，所取的2个球中恰有1个白球，1个红球的概率为．3．（3分）设双曲线C的焦点在x轴上，渐近线方程为y=x，则其离心率为；若点（4，2）在C上，则双曲线C的方程为．4．（3分）已知集合{x|（x﹣1）（x2﹣x+a）=0，x∈R}中的所有元素之和为1，则实数a的取值集合为．5．（3分）已知x∈C，且x5﹣1=0，则=．6．（3分）设，则=．7．（3分）若复数z满足，则复数|z﹣1﹣i|的最大值为．8．（3分）在平面上，过点P作直线l的垂线所得的垂足称为点P的直线上的投影，由区域中的点在直线x+y﹣2=0上的投影构成的线段记为AB，则|AB|=．9．（3分）已知△ABC，若存在△A1B1C1，满足，则称△A1B1C1是△ABC的一个“友好”三角形．在满足下述条件的三角形中，存在“友好”三角形的是：（请写出符合要求的条件的序号）①A=90°，B=60°，C=30°；②A=75°，B=60°，C=45°；③A=75°，B=75°，C=30°．10．（3分）集合，若B⊆A，则实数a的取值范围是．11．（3分）在△ABC中，D、E分别是AB，AC的中点，M是直线DE上的动点，若△ABC的面积为1，则•+2的最小值为．12．（3分）已知函数f（x）=（a＞0且α≠1）在R上单调递减，且关于x的方程|f（x）|=2﹣x恰有两个不相等的实数解，则a的取值范围是．二、选择题13．（3分）若a、b为实数，则ab（a﹣b）＜0成立的一个充要条件是（）A．B．C．D．14．（3分）l1、l2是空间两条直线，α是平面，以下结论正确的是（）A．如果l1∥α，l2∥α，则一定有l1∥l2B．如果l1⊥l2，l2⊥α，则一定有l1⊥αC．如果l1⊥l2，l2⊥α，则一定有l1∥αD．如果l1⊥α，l2∥α，则一定有l1⊥l215．（3分）已知数列{a n}共有5项，满足a1＞a2＞a3＞a4＞a5≥0，且对任意i，j（1≤i≤j≤5），有a i﹣a j仍是该数列的某一项，则下列命题中，假命题的序号是（）A．数列{a n}中一定存在一项为0B．存在1≤i＜j≤5，使得ia i=ja jC．数列{a n}一定是等差数列D．集合A={x|x=a i+a j，1≤i＜j≤5}中元素个数为15．16．（3分）已知函数f（x）=，有下列四个结论：①对任意x∈D，f（x）+f（﹣x）=0恒成立；②存在m∈（0，1），使得方程|f（x）|=m有两个不等实根；③对任意x1，x2∈D，若x1≠x2，则一定有f（x1）=f（x2）；④对任意k∈（1，+∞），函数g（x）=f（x）﹣kx有三个零点．上述结论正确的个数为（）A．1B．2C．3D．4三、解答题17．如图，在长方体ABCD﹣A1B1C1D1中，AB=8，BC=5，AA1=4，平面α截长方体得到一个矩形EFGH，且A1E=D1F=2，AH=DG=5．（1）求截面EFGH把该长方体分成的两部分体积之比；（2）求直线AF与平面α所成角的正弦值．18．已知数列{a n}是首项等于的等比数列，公比q∈N*，S n是它的前n项和，满足S4=5S2．（1）求数列{a n}的通项公式；（2）设b n=log a a n（a＞0且a≠1），求数列{b n}的前n项和T n的最值．19．某校兴趣小组在如图所示的矩形区域ABCD内举行机器人拦截挑战赛，在E 处按方向释放机器人甲，同时在A处按某方向释放机器人乙，设机器人乙在Q处成功拦截机器人甲．若点Q在矩形区域ABCD内（包含边界），则挑战成功，否则挑战失败．已知AB=18米，E为AB中点，机器人乙的速度是机器人甲的速度的2倍，比赛中两机器人均按匀速直线运动方式行进，记与的夹角为θ．（1）若θ=60°，AD足够长，则如何设置机器人乙的释放角度才能挑战成功？（结果精确到0.1°）（2）如何设计矩形区域ABCD的宽AD的长度，才能确保无论θ的值为多少，总可以通过设置机器人乙的释放角度使机器人乙在矩形区域ABCD内成功拦截机器人甲？20．设椭圆M：的左顶点为A、中心为O，若椭圆M过点，且AP⊥PO．（1）求椭圆M的方程；（2）若△APQ的顶点Q也在椭圆M上，试求△APQ面积的最大值；（3）过点A作两条斜率分别为k1，k2的直线交椭圆M于D，E两点，且k1k2=1，求证：直线DE恒过一个定点．21．已知集合A={x|x2﹣x﹣2≤0，x∈Z}，集合B={x|lg（x2+x+8）=1}，集合C={x|x=ab，a∈A，b∈B}．（1）用列举法表示集合C；（2）设集合C的含n个元素所有子集为C n，记有限集合M的所有元素和为S （M），求S（C1）+S（C2）+…+S（C n）的值．（3）已知集合P，Q是集合C的两个不同子集，若P不是Q的子集，且Q不是P的子集，求所有不同的有序集合对（P，Q）的个数n（P，Q）．2017-2018学年上海市建平中学高三（上）9月月考数学试卷参考答案与试题解析一、填空题1．（3分）在（x+a）5的二项式展开式中，x2的系数与x3的系数相同，则非零实数a的值为1．【分析】利用（x+a）5二项式展开式的通项公式写出展开式中含x2的系数和x3的系数，列方程求出a的值．=•x5﹣r•a r，【解答】解：（x+a）5的二项式展开式中，通项公式为T r+1∴含x2的系数为•a3，x3的系数为•a2，由题意知•a3=•a2，即10a3=10a2，解得a=1或a=0；∴非零实数a的值为1．故答案为：1．2．（3分）袋中共有15个除颜色外完全相同的球，其中10个白球5个红球，从袋中任取2个球，所取的2个球中恰有1个白球，1个红球的概率为．【分析】从袋中任取2个球，基本事件总数n=，所取的2个球中恰有1个白球，1个红球包含的基本事件个数m=，由此能求出所取的2个球中恰有1个白球，1个红球的概率．【解答】解：袋中共有15个除颜色外完全相同的球，其中10个白球5个红球，从袋中任取2个球，基本事件总数n==105，所取的2个球中恰有1个白球，1个红球包含的基本事件个数m=，∴所取的2个球中恰有1个白球，1个红球的概率为p==．故答案为：．3．（3分）设双曲线C的焦点在x轴上，渐近线方程为y=x，则其离心率为；若点（4，2）在C上，则双曲线C的方程为．【分析】根据双曲线渐近线和a，b的关系建立方程进行求解即可求出离心率的大小，利用待定系数法求λ，即可得到结论．【解答】解：∵双曲线C的焦点在x轴上，渐近线方程为y=x，∴=，即==e2﹣1=，则e2=，则e=，设双曲线方程为﹣y2=λ，λ＞0，∵若点（4，2）在C上，∴λ==8﹣4=4，即双曲线方程为﹣y2=4，即，故答案为：4．（3分）已知集合{x|（x﹣1）（x2﹣x+a）=0，x∈R}中的所有元素之和为1，则实数a的取值集合为{0}∪（，+∞）．【分析】利用分类讨论的思想①当a=0时，集合只有0和1两个元素，故满足所有的元素和为1．②当f（x）=x2﹣x+a没有零点，即）x2﹣x+a=0没有实根，故△＜0，进一步求出结果．【解答】解：集合{x|（x﹣1）（x2﹣x+a）=0，x∈R}中的所有元素之和为1，则：①当a=0时，集合只有0和1两个元素，故满足所有的元素和为1．②当f（x）=x2﹣x+a没有零点，即）x2﹣x+a=0没有实根．故△＜0，即1﹣4a＜0解得：a．综合①②得：，故答案为：{0}∪（，+∞）5．（3分）已知x∈C，且x5﹣1=0，则=4，或﹣1．【分析】由x5﹣1=（x﹣1）（x4+x3+x2+x+1）=0，得x=1，或x4+x3+x2+x+1=0，进而得到答案．【解答】解：∵x∈C，且x5﹣1=（x﹣1）（x4+x3+x2+x+1）=0，故x=1，或x4+x3+x2+x+1=0，当x=1时，=4，当x4+x3+x2+x+1=0时，==﹣1，故=4，或﹣1故答案为：4，或﹣1．6．（3分）设，则=1+．【分析】由已知求出|z n|，再由无穷递缩等比数列所有项和的求解方法求解．【解答】解：∵，∴=，则==．故答案为：1+．7．（3分）若复数z满足，则复数|z﹣1﹣i|的最大值为．【分析】设出z=a+bi（a，b∈R），则由，得z在复平面内对应点的轨迹，再由|z﹣1﹣i|的几何意义求解．【解答】解：设z=a+bi（a，b∈R），则由，得a2+b2+2a≤0，即（a+1）2+b2≤1．复数z在复平面内对应点的轨迹如图：∴复数|z﹣1﹣i|的最大值为|PC|+1=．故答案为：．8．（3分）在平面上，过点P作直线l的垂线所得的垂足称为点P的直线上的投影，由区域中的点在直线x+y﹣2=0上的投影构成的线段记为AB，则|AB|=3．【分析】作出不等式组对应的平面区域，利用投影的定义，利用数形结合进行求解即可．【解答】解：作出不等式组对应的平面区域如图：（阴影部分），区域内的点在直线x+y﹣2=0上的投影构成线段R′Q′，即SAB，而R′Q′=RQ，由得Q（﹣1，1）由即R（2，﹣2），则|AB|=|QR|==3，故答案为：3．9．（3分）已知△ABC，若存在△A1B1C1，满足，则称△A1B1C1是△ABC的一个“友好”三角形．在满足下述条件的三角形中，存在“友好”三角形的是②：（请写出符合要求的条件的序号）①A=90°，B=60°，C=30°；②A=75°，B=60°，C=45°；③A=75°，B=75°，C=30°．【分析】满足，则有A1=±A，B1=±B，C1=±C逐一验证选项即可．【解答】解：满足，则有A1=±A，B1=±B，C1=±C．对于①，cosA=cos90°=0，显然不成立．对于②，可取满足题意．对于③，经验证不满足．故答案为：②．10．（3分）集合，若B⊆A，则实数a的取值范围是{a|1＜a} ．【分析】根据B⊆A，建立条件关系即可求实数a的取值范围．【解答】解：集合，化简集合A={x|x2﹣5x+4≤0}=[1，4]．∵B⊆A，当B=∅时，则4（a﹣2）2﹣4a＜0，可得：1＜a＜4．当B≠∅时，f（x）=x2﹣2（a﹣2）x+a≤0有解．则4（a﹣2）2﹣4a≥0，f（1）≥0，f（4）≥0，，可得：3＜a综上可得：实数a的取值范围是{a|1＜a}．故答案为：{a|1＜a≤}．11．（3分）在△ABC中，D、E分别是AB，AC的中点，M是直线DE上的动点，若△ABC的面积为1，则•+2的最小值为．【分析】由三角形的面积公式，S△ABC=2S△MBC，则S△MBC=，根据三角形的面积公式及向量的数量积，利用余弦定理，即可求得则•+2，利用导数求得函数的单调性，即可求得则•+2的最小值；方法二：利用辅助角公式及正弦函数的性质，即可求得•+2的最小值．【解答】解：∵D、E是AB、AC的中点，∴A到BC的距离=点A到BC的距离的一半，∴S△ABC =2S△MBC，而△ABC的面积1，则△MBC的面积S△MBC=，S△MBC=丨MB丨×丨MC丨sin∠BMC=，∴丨MB丨×丨MC丨=．∴•=丨MB丨×丨MC丨cos∠BMC=．由余弦定理，丨BC丨2=丨BM丨2+丨CM丨2﹣2丨BM丨×丨CM丨cos∠BMC，显然，BM、CM都是正数，∴丨BM丨2+丨CM丨2≥2丨BM丨×丨CM丨，∴丨BC丨2=丨BM丨2+丨CM丨2﹣2丨BM丨×丨CM丨cos∠BMC=2×﹣2×．．∴•+2≥+2×﹣2×=，方法一：令y=，则y′=，令y′=0，则cos∠BMC=，此时函数在（0，）上单调减，在（，1）上单调增，∴cos∠BMC=时，取得最小值为，•+2的最小值是，方法二：令y=，则ysin∠BMC+cos∠BMC=2，则sin（∠BMC+α）=2，tanα=，则sin（∠BMC+α）=≤1，解得：y≥，•+2的最小值是，故答案为：．12．（3分）已知函数f（x）=（a＞0且α≠1）在R上单调递减，且关于x的方程|f（x）|=2﹣x恰有两个不相等的实数解，则a的取值范围是[，]∪{} ．【分析】利用函数是减函数，根据对数的图象和性质判断出a的大致范围，再根据f（x）为减函数，得到不等式组，利用函数的图象，方程的解的个数，推出a的范围．【解答】解：函数f（x）=（a＞0且α≠1）在R上单调递减，则：；解得，≤a≤．由图象可知，在[0，+∞）上，|f（x）|=2﹣x有且仅有一个解，故在（﹣∞，0）上，|f（x）|=2﹣x同样有且仅有一个解，当3a＞2即a＞时，联立|x2+（4a﹣3）x+3a|=2﹣x，则△=（4a﹣2）2﹣4（3a﹣2）=0，解得a=或1（舍去），当1≤3a≤2时，由图象可知，符合条件，综上：a的取值范围为[，]∪{}，故答案为：[，]∪{}．二、选择题13．（3分）若a、b为实数，则ab（a﹣b）＜0成立的一个充要条件是（）A．B．C．D．【分析】先判断p⇒q与q⇒p的真假，再根据充要条件的定义给出结论；也可判断命题p与命题q所表示的范围，再根据“谁大谁必要，谁小谁充分”的原则，判断命题p与命题q的关系．【解答】解：ab（a﹣b）＜0⇔a2b﹣ab2＜0⇔a2b＜ab2⇔⇔＜故选：D．14．（3分）l1、l2是空间两条直线，α是平面，以下结论正确的是（）A．如果l1∥α，l2∥α，则一定有l1∥l2B．如果l1⊥l2，l2⊥α，则一定有l1⊥αC．如果l1⊥l2，l2⊥α，则一定有l1∥αD．如果l1⊥α，l2∥α，则一定有l1⊥l2【分析】由空间中直线与直线、直线与平面、平面与平面的关系逐一核对四个选项得答案．【解答】解：若l1∥α，l2∥α，则有l1∥l2或l1与l2相交或l1与l2异面，故A错误；如果l1⊥l2，l2⊥α，则有l1∥α或l1⊂α，故B、C错误；如果l1⊥α，则l1垂直α内的所有直线，又l2∥α，则过l2与α相交的平面交α于a，则l2∥a，∴l1⊥l2，故D正确．故选：D．15．（3分）已知数列{a n}共有5项，满足a1＞a2＞a3＞a4＞a5≥0，且对任意i，j（1≤i≤j≤5），有a i﹣a j仍是该数列的某一项，则下列命题中，假命题的序号是（）A．数列{a n}中一定存在一项为0B．存在1≤i＜j≤5，使得ia i=ja jC．数列{a n}一定是等差数列D．集合A={x|x=a i+a j，1≤i＜j≤5}中元素个数为15．【分析】根据题意：对任意i，j（1≤i≤j≤5），有a i﹣a j仍是该数列的某一项，因此0∈{a n}，由于a4﹣a5=a4∈{a n}，（a4＞0），可得a3﹣a4=a4，即a3=2a4，以此类推可得：a2=3a4，a1=4a4．分析选项即可判断出结论．【解答】解：根据题意：对任意i，j（1≤i≤j≤5），有a i﹣a j仍是该数列的某一项，∴a i﹣a i=0，∴当a5=0时，则a4﹣a5=a4∈{a n}，（a4＞0）．必有a3﹣a4=a4，即a3=2a4，而a2﹣a3=a3或a4，若a2﹣a3=a3，则a2﹣a4=3a4，而3a4≠a3，a4，a5，舍去；若a2﹣a3=a4∈{a n}，此时a2=3a4，同理可得a1=4a4．可得数列{a n}为：4a4，3a4，2a4，a4，0（a4＞0）；据此分析选项：易得A、B、C正确；对于D、集合A={x|x=a i+a j，1≤i≤j≤5}={8a4，7a4，6a4，5a4，4a4，3a4，2a4，a4，0（a4＞0）}中共有9个元素，D错误；故选：D．16．（3分）已知函数f（x）=，有下列四个结论：①对任意x∈D，f（x）+f（﹣x）=0恒成立；②存在m∈（0，1），使得方程|f（x）|=m有两个不等实根；③对任意x1，x2∈D，若x1≠x2，则一定有f（x1）=f（x2）；④对任意k∈（1，+∞），函数g（x）=f（x）﹣kx有三个零点．上述结论正确的个数为（）A．1B．2C．3D．4【分析】通过函数的基本性质﹣﹣奇偶性和单调性，对选项进行逐一验证即可【解答】解：∵函数f（x）=（x∈R）是奇函数，∴任意x∈R，等式f（﹣x）+f（x）=0恒成立，故①正确；令m=，|f（x）|=，可解得，x=1或x=﹣1，故②正确；当x≥0时，f（x）=，f'（x）=＞0，故原函数在[0，+∞）单调递增当x＜0时，f（x）=，f'（x）=＞0，故原函数在（﹣∞，0）单调递增，故函数在R上单调递增，对任意x1，x2∈D，若x1≠x2，则一定有f（x1）≠f（x2）；故③错误；由③中分析可得：f'（x）∈（0，1]，故对任意k∈（1，+∞），函数y=f（x）的图象与y=kx只有原点一个交点，即函数g（x）=f（x）﹣kx有一个零点，故④错误．故选：B．三、解答题17．如图，在长方体ABCD﹣A1B1C1D1中，AB=8，BC=5，AA1=4，平面α截长方体得到一个矩形EFGH，且A1E=D1F=2，AH=DG=5．（1）求截面EFGH把该长方体分成的两部分体积之比；（2）求直线AF与平面α所成角的正弦值．【分析】（1）由题意，平面α把长方体分成两个高为5的直四棱柱，转化求解体积推出结果即可．（2）解法一：作AM⊥EH，垂足为M，证明HG⊥AM，推出AM⊥平面EFGH．通过计算求出AM=4．AF，设直线AF与平面α所成角为θ，求解即可．解法二：以DA、DC、DD1所在直线分别为x轴、y轴、z轴建立空间直角坐标系，求出平面α一个法向量，利用直线AF与平面α所成角为θ，通过空间向量的数量积求解即可．【解答】（本题满分（14分），第1小题满分（6分），第2小题满分8分）解：（1）由题意，平面α把长方体分成两个高为5的直四棱柱，，…（2分），…（4分）所以，．…（6分）（2）解法一：作AM⊥EH，垂足为M，由题意，HG⊥平面ABB1A1，故HG⊥AM，所以AM⊥平面EFGH．…（2分）=10，）因为，，所以S△AEH因为EH=5，所以AM=4．…（4分）又，…（6分）设直线AF与平面α所成角为θ，则．…（7分）所以，直线AF与平面α所成角的正弦值为．…（8分）解法二：以DA、DC、DD1所在直线分别为x轴、y轴、z轴建立空间直角坐标系，则A（5，0，0），H（5，5，0），E（5，2，4），F（0，2，4），…（2分）故，，…（3分）设平面α一个法向量为，则即所以可取．…（5分）设直线AF与平面α所成角为θ，则．…（7分）所以，直线AF与平面α所成角的正弦值为．…（8分）18．已知数列{a n}是首项等于的等比数列，公比q∈N*，S n是它的前n项和，满足S4=5S2．（1）求数列{a n}的通项公式；（2）设b n=log a a n（a＞0且a≠1），求数列{b n}的前n项和T n的最值．【分析】（1）公比q∈N*，q≠1，由S4=5S2．可得=，解得q．（2）b n=log a a n=（n﹣5）log a2，利用等差数列的求和公式可得数列{b n}的前n项和T n=log a2，对a分类讨论，利用二次函数与对数函数的单调性即可得出．【解答】解：（1）公比q∈N*，q≠1，∵S4=5S2．∴=，解得q=2．∴a n==2n﹣5．（2）b n=log a a n=（n﹣5）log a2，∴数列{b n}的前n项和T n=log a2=log a2，a＞1时，（T n）min=T4=T5=﹣10log a2．0＜a＜1时，（T n）max=T4=T5=﹣10log a2．19．某校兴趣小组在如图所示的矩形区域ABCD内举行机器人拦截挑战赛，在E 处按方向释放机器人甲，同时在A处按某方向释放机器人乙，设机器人乙在Q处成功拦截机器人甲．若点Q在矩形区域ABCD内（包含边界），则挑战成功，否则挑战失败．已知AB=18米，E为AB中点，机器人乙的速度是机器人甲的速度的2倍，比赛中两机器人均按匀速直线运动方式行进，记与的夹角为θ．（1）若θ=60°，AD足够长，则如何设置机器人乙的释放角度才能挑战成功？（结果精确到0.1°）（2）如何设计矩形区域ABCD的宽AD的长度，才能确保无论θ的值为多少，总可以通过设置机器人乙的释放角度使机器人乙在矩形区域ABCD内成功拦截机器人甲？【分析】（1）利用正弦定理，即可求解；（2）以AB所在直线为x轴，AB中垂线为y轴，建平面直角坐标系，求出Q 的轨迹方程，即可得出结论．【解答】解：（1）△AEQ中，AQ=2EQ，∠AEQ=120°…（2分）由正弦定理，得：所以…（4分）所以所以应在矩形区域ABCD内，按照与夹角为25.7°的向量方向释放机器人乙，才能挑战成功…（6分）（2）以AB所在直线为x轴，AB中垂线为y轴，建平面直角坐标系，设Q（x，y）（y≥0）…（8分）由题意，知AQ=2EQ，所以所以（x﹣3）2+y2=36（y≥0）…（11分）即点Q的轨迹是以（3，0）为圆心，6为半径的上半圆在矩形区域ABCD内的部分所以当AD≥6米时，能确保无论θ的值为多少，总可以通过设置机器人乙的释放角度使机器人乙在矩形区域ABCD内成功拦截机器人甲…（14分）20．设椭圆M：的左顶点为A、中心为O，若椭圆M过点，且AP⊥PO．（1）求椭圆M的方程；（2）若△APQ的顶点Q也在椭圆M上，试求△APQ面积的最大值；（3）过点A作两条斜率分别为k1，k2的直线交椭圆M于D，E两点，且k1k2=1，求证：直线DE恒过一个定点．【分析】（1）利用AP⊥OP，可知k AP•k OP=﹣1，A点坐标为（﹣a，0），得a，求出b，然后求解椭圆方程．（2）求出AP的方程x﹣y+1=0，通过Q是椭圆M上的点，故可设，然后利用三角形的面积求解最大值即可．（3）直线AD方程为y=k1（x+1），代入x2+3y2=1，求出D、E坐标，得到直线DE的方程，利用直线系得到定点坐标．（法二）若DE垂直于y轴，则x E=﹣x D，y E=y D，此时与题设矛盾．若DE不垂直于y轴，可设DE的方程为x=ty+s，将其代入x2+3y2=1，利用韦达定理结合斜率关系推出DE的方程为x=ty﹣2，推出直线DE过定点（﹣2，0）．【解答】解：（1）由AP⊥OP，可知k AP•k OP=﹣1，又A点坐标为（﹣a，0），故，可得a=1，…（2分）因为椭圆M过P点，故，可得，所以椭圆M的方程为．…（4分）（2）AP的方程为，即x﹣y+1=0，由于Q是椭圆M上的点，故可设，…（6分）所以…（8分）=当，即时，S取最大值．△APQ的最大值为．…（10分）故S△APQ（3）直线AD方程为y=k1（x+1），代入x2+3y2=1，可得，，又x A=﹣1，故，，…（12分）同理可得，，又k1k2=1且k1≠k2，可得且k1≠±1，所以，，，直线DE的方程为，…（14分）令y=0，可得．故直线DE过定点（﹣2，0）．…（16分）（法二）若DE垂直于y轴，则x E=﹣x D，y E=y D，此时与题设矛盾．若DE不垂直于y轴，可设DE的方程为x=ty+s，将其代入x2+3y2=1，可得（t2+3）y2+2tsy+s2﹣1=0，可得，…（12分）又，可得，…（14分）故，可得s=﹣2或﹣1，又DE不过A点，即s≠﹣1，故s=﹣2．所以DE的方程为x=ty﹣2，故直线DE过定点（﹣2，0）．…（16分）21．已知集合A={x|x2﹣x﹣2≤0，x∈Z}，集合B={x|lg（x2+x+8）=1}，集合C={x|x=ab，a∈A，b∈B}．（1）用列举法表示集合C；（2）设集合C的含n个元素所有子集为C n，记有限集合M的所有元素和为S （M），求S（C1）+S（C2）+…+S（C n）的值．（3）已知集合P，Q是集合C的两个不同子集，若P不是Q的子集，且Q不是P的子集，求所有不同的有序集合对（P，Q）的个数n（P，Q）．【分析】（1）先求出集合A，B，进而可得集合C={x|x=ab，a∈A，b∈B}（2）C的每一元素a在“总和”S（M）中均出现25次，进而可得答案；（3）集合C有26个子集，不同的有序集合对（P，Q）有26（26﹣1）个．去除满足P⊊Q和Q⊊P的元素个数，可得答案．【解答】解：（1）∵集合A={x|x2﹣x﹣2≤0，x∈Z}={﹣1，0，1，2}，集合B={x|lg（x2+x+8）=1}={﹣2，1}，集合C={x|x=ab，a∈A，b∈B}={﹣4，﹣2，﹣1，0，1，2}．（2）n∈N*时，对C的任一元素a，因为C共有6个元素，故含有元素a的子集为25个，故C的每一元素a在“总和”S（M）中均出现25次，故S（C1）+S（C2）+…+S（C n）=（﹣4﹣2﹣1+0+1+2）•25=﹣128；（3）集合C有26个子集，不同的有序集合对（P，Q）有26（26﹣1）个．若P⊊Q，并设Q中含有k（1≤k≤n，k∈N•）个元素，则满足P⊊Q的有序集合对（P，Q）有=36﹣26个．同理，满足Q⊊P的有序集合对（P，Q）有36﹣26个．故满足条件的有序集合对（P，Q）的个数为n（P，Q）=26（26﹣1）﹣2（36﹣26）=2702．。

2017年建平中学高三开学考试卷(含答案+解析)

2017年9月建平中学高三开学考II. Grammar and vocabularySection ADirections:After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Nursing, as a typically female profession, must deal constantly with the false impression ___21___ nurses are there to wait on the position.As nurses, we ____22_____ (license) to provide nursing care only. We provide health teaching, and physical as well as emotional problems, coordinate patient-related services and make all our nursing decisions based upon what is ___23___(good) or suitable for the patient. If, in any circumstance, we feel that a physician’s order is inappropriate or unsafe, we have a legal responsibility ____24____(question) that order, or refuse to carry it out.Nursing is not a nine-to-five job __25__ every weekend off. All nurses are aware of that ___26___ they enter the profession. The emotional and physical stress, however, __27__ occurs due to hard working hours is a prime reason for a lot of the career dissatisfaction. It is sometimes required that we work overtime, and that we change shifts four or five times a month. That disturbs our personal lives and disrupts our sleeping and eating habits, isolating us from everything __28__ job-related friends and activities.The quality of nursing care is being affected dramatically by these situations. Most hospitals are now staffed by new graduates because experienced nurses finally give up __29___(try) to change the system. If trends continue as ___30__(predict), they will find that most critical hospital care will be provided by new inexperienced and sometimes inadequately-trained nurses.Section BDirections:Complete the following passage by using the words in the box. Each word can only bebetween adults and their freedom-craving kids.Locked indoors, unable to get on their bicycles and hang out with their friends, teens have turnedhelicopter parenting. Social media and smart phones apps have become so popular in recent years.第1页/ 共11页the potential dangers that youth might face---from violent strangers to cruel peers.Rather than helping teens develop strategies for discussing public life and the potential risks ofhelp teens develop the skills they need to manage complex social situations, assess risks and get help when they’re in trouble. It gradually weakens the learning that teens need to do as they come of age in a technology-soaked world.neighborhoods wereurban theorist Jane Jacobs used to argue that the safestcommunication. FamedThe same is true online.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.When is an occupation a profession? There appears to no absolute definition, but only __41_ ways of looking at the issue, from historical, cultural, sociological, moral, political or philosophical perspectives. It is often said that professions are elites(精英) who undertake specialized, selfless work, according to moral codes and that their work is _42__ by examination and a license to practice. In _43__, however, they request complete control over a body of knowledge, freedom to practice, special rewards and higher financial and economic _44__.The public needs experts and higher specialist advice, but because this advice is specialized they are not in a position to __45__ what advice they need: this has to be defined in conversation with the professional. Professional judgement could be __46__ with client(委托人) satisfaction since the latter cannot then be “the chief measure of whether the professional has acted in a trustworthy fashion.” Professional elites have __47__ potential; to export their power and reputation for economic goals; to allow research for the __48__ theoretical knowledge to become an end in itself; to lose sight of client well-being in the continuing split of specialist knowledge.The higher a profession’s social status the more freedom it enjoys. Therefore, an occupation wanting to maintain or improve its status will try to keep as much an occupation __49__ as possible over its own affairs. As in so many other areas, socio-culture change has affected the professions considerably in recent years. Market forces and social pressures have focused professionals to be more __50__ about their modes of practice. In addition, information technology has enables the __51__ to become much better informed, and therefore more demanding. Moreover, developing in professional knowledge itself have forced a greater degree of specialization on experts, who constantly have to _52___ and do research to maintain their position.Self-regulation then becomes an even more thing for a profession to maintain er extend. But in第2页/ 共11页whose __53__? Is self-regulation used to enable a profession to properly practise without __54__ interference, or is it used to maintain the status of the profession for its own ends? Or is it used to protect clients by appropriately __55__ those who have broken professional norms, or to protect the public image of the profession by concealing evidences that would damage it?41.A. fair B. normal C. different D. separate42.A. guaranteed B. measured C. completed D. continued43.A. return B. comparison C. conclusion D. fact44.A. importance B. status C. influence D. certificate45.A. discover B. accept C. realize D. know46.A. competing B. disagreeing C. contrasting D. mixing47.A. negative B. creative C. significant D. wasted48.A. necessary B. abstract C. basic D. background49.A. independence B. control C. limitation D. value50.A. definite B. formal C. open D. personal51.A. public B. followers C. audience D. consumers52.A. resign B. recover C. retrain D. resist53.A. interests B. ideas C. proposals D. instructions54.A. legal B. logical C. unlike D. unsuitable55.A. examining B. separating C. resetting D. discipliningSection BAThe Hawthorne experiment was conducted in the late 1920s and early 1930s. The management of Western Electric's Hawthorne plant, located near Chicago, wanted to find out if environmental factors, such as lighting, could affect workers' productivity and morale. A team of social scientists experimented with a small group of employees who were set apart from their coworkers. The environmental conditions of this group's work area were controlled, and the subjects themselves were closely observed. To the great surprise of the researchers, the productivity of these workers increased in response to any change in their environmental conditions. The rate of work increased even when the changes (such as a sharp decrease in the level of light in the workplace) seemed unlikely to have such an effect.It was concluded that the presence of the observers had caused the workers in the experimental group to feel special. As a result, the employees came to know and trust one another, and they developed a strong belief in the importance of their job. The researchers believed that this, not the changes in the work environment, accounted for the increased productivity.第3页/ 共11页A later reanalysis of the study data challenged the Hawthorne conclusions on the grounds that the changes in patterns of human relations, considered so important by the original researchers, were never measured. However, even if the original conclusions must be revised, they nonetheless raise a problem for social scientists: Research subjects who know they are being studied can change their behavior. Throughout the social sciences, this phenomenon has come to be called the Hawthorne effects.56. The author implies that a sharp decrease in light increased workers' output becauseA. the workers experienced less eyestrain in a dark working placeB. the workers had to pay 1nore attention to what they were doingC. the workers knew they were being observed, and this motivated themD. the 11'orkers in the experiment were paid more than other workers57. The pattern of organization of the second paragraph isA. list of itemsB. time orderC. definition and exampleD. cause and effect58. The Hawthorne experiment suggests thatA. workers' attitudes are more important than their environmentB. social scientists are good workersC. productivity in electric plants tends to be lowD even those who were not y the experiment improved their productivity59. The author’s main purpose isA. To explain the Hawthorne effectB. to prove the importance of researchC. to amuse with a surprising experimentD. to suggest ideas for future researchBJoin IMDb and Become a Founding Supporter of the Academy Museum of Motion PicturesThe Academy of Motion Pictures & Sciences is building the world's leading movie museum in the heart of Los Angeles. The Academy Museum of Motion pictures, scheduled to open in 2017, will contain six stories of state-of-the-art galleries, exhibition spaces, movie theaters and educational areas. Through groundbreaking exhibitions and innovative programming, the Museum will explore how Hollywood and the film industry have shaped culture and creativity around the world. Designed by Renzo Piano, the Academy Museum will be located next to the Los Angeles County Museum of Art (LACMA) campus in the landmarked Wilshire May Company Building.To help ensure this long-held dream of the Academy becomes a reality, the Academy has launched a $300 million fundraising campaign, led by Bob Iger, Annette第4页/ 共11页Bening and Tom Hanks. We hope you can join IMDb and the Academy Museum's community of early supporters by making a gift to the campaign today. Or, sign up for the Academy Museum mailing list to hear about upcoming museum events and developments.Donate NowHelp make move history and join in elite group of supporters, including IMDb, by making your contribution today.To see a full list of the Academy Museum founding supporters, click here. If you would like to make a donation or learn more about naming opportunities, please contact Christine Joyce Rodriguez, Manager of Annual Giving, at Christine. Rodriguez@ or 310 247 304060. The Academy of Motion Pictures is locatedA. in the downtown area of Los AngelesB. in the suburb of the city of Los AngelesC. in the Los Angeles County Museum of ArtD. in the centre of Wilshire May Company61. The Academy of Motion Pictures will focus onA. the exhibition of film equipmentB. the impact of film industry on world cultureC. the popularity of Hollywood movie cultureD. the achievements of American galleries and theatres62. The passage is intended to .A. promote the Academy Museum and make movie historyB. arouse people's interest in the Academy MuseumC. raise enough money for the Academy MuseumD. help realize the Academy Museum founding supporters’ dreamsCTo live in the United States today is to gain an appreciation for Dahrendorf’s declaration that social change exists everywhere. Technology, the application of knowledge for practical ends, is a major source of social change.Yet we would do well to remind ourselves that technology is human creation; it does not exist naturally. A spear or a robot is as much a cultural as a physical object. Until human use a spear to hunt game or a robot to produce machine parts, neither is much more than a solid mass of matter. For a bird looking for an object on which to rest, a spear or robot serves the purpose equally well. The explosion of the Challenger space shuttle and the Russian nuclear accident at Chernobyl drive home the human quality of technology; they provide cases in which well-planned systems suddenly went haywire and there was no ready hand to set them right. Since technology is a human creation, we are responsible for what is done with it. Pessimists worry that we will use our technology eventually to第5页/ 共11页blow our world and ourselves to pieces. But they have been saying this for decades, and so far we have managed to survive and even flourish. Whether we will continue to do so in the years ahead remains uncertain. Clearly, the impact of technology on our lives deserves a closer examination.Few technological developments have had a greater impact on our lives than the computer revolution. Scientists and engineers have designed specialized machines that can do the tasks that once only people could do. There are those who declare that the switch to an information-based economy is in the same camp as other great historical milestones, particularly the industrial Revolution. Yet when we ask why the Industrial Revolution was a revolution, we find that it was not the machines. The primary reason why it was revolutionary is that it led to great social change. It gave rise to mass production and, through mass production, to a society in which wealth was not restricted to the few.In somewhat similar fashion, computers promise to revolutionize the structure of American life particularly as they free the human mind and open new possibilities in knowledge and communication. The Industrial Revolution supplemented and replaced the muscles of humans and animals by mechanical methods. The computer extends this development to supplement and replace some aspects of the mind of human beings by electronic methods. It is the capacity of the computer for solving problems and making decisions that represents its greatest potential and that poses the greatest difficulties in predicting impact on society.63. Why does the author give the examples of the challenger and Chernobyl?A. To show that technology could be used to destroy our world.B. To stress the author’s concern about the safety of complex technology.C. To prove that technology usually goes wrong, if not controlled by man.D. To demonstrate that being a human creation, technology is likely to make an error64. What does the phrase “went haywire” in paragraph 2 most probably mean?A. were out of rangeB. went out of dateC. fell out of useD. got out of control65. According to the author, the introduction of the computer is a revolution mainly becauseA. the computer has revolutionized the workings of the human mindB. the computer can do the tasks that could only be done by people beforeC. it has helped to switch to an information technologyD. it has a great potential impact on society66. In the passage, the author clearly shows hisA. keen insight into the nature of technology第6页/ 共11页B. sharp criticism of the role of the Industrial RevolutionC. thorough analysis of the replacement of the human mind by computersD. comprehensive description of the negative consequences of technologySection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.Picture two accountants alerted to suspicious entries in the books. The first takes the violation seriously. The second thinks it’s not a big deal. Who has more power? _____67_____ Powerful people break the rules—therefore, breaking rules makes one seem more powerful.“In its modest form, rule breaking is actually healthy,” says Zhen Zhang of Arizona State University. He found that relatively minor violations during adolescence—damaging property, playing hooky—predicted an admired occupation: entrepreneur.When young men, in particular, take risks that succeed, testosterone levels surge. The hormone may underlie the “winner effect,” say researchers John Coates and Joe Herbert of the University of Cambridge, who tracked the hormonal activity of stock option traders (again, all male) over their good and bad days in the market._____68_____But at a certain point, risk taking can become illogical. This can cause “ethical numbing(道德麻木).” Consider Steve Jobs: As Apple grew, so did lawsuits against it, like those over patents.Being wealthy has a moral effect on both genders. Studies have found that the $150,000-plus-per-year set was four times as likely to cheat as those making less than $15,000 a year when playing a game to win $50. The rich didn’t stop for pedestrians at a crosswalk nearly as often as less-wealthy drivers. ______69_______That’s because environment—not personality—encourage rule breaking, argues Andy Yap, a behavioral scientist. Yap and his colleagues asked volunteers to sit in an SUV-size driver’s seat versus a crowded one or an executive-size office space versus a cubicle(小隔间) and then tested their responses to various moral evens. ______70_______第7页/ 共11页IV. Summary WritingDirections:Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.Judging from recent surveys, most experts in sleep behavior agree that there is virtually an epidemic (流行病) of sleepiness in the nation. “I can’t think of a single study that hasn’t found Americans getting less sleep than they ought to,” says Dr. David. Even people who think they are sleeping enough would probably be better off with more rest.The beginning of our sleep-deficit (睡眠不足) crisis can be traced to the invention of the light bulb a century ago. From diary entries and other personal accounts from the 18th and 19th centuries, sleep scientists have reached the conclusion that the average person used to sleep about 9.5 hours a night. “The best sleep habits once were forced on us, when we had nothing to do in the evening down on the farm, and it was dark.” By the 1950s and 1960s, the sleep schedule had been reduced dramatically, to between 7.5 and eight hours, and most people had to wake to an alarm clock. “People cheat on their sleep, and they don’t even realize they’re doing it,” says Dr. David. “They think they’re okay because they can get by on 6.5 hours, when they really need 7.5, eight or even more to feel ideally vigorous.”Perhaps the most merciless robber of sleep, researchers say is the complexity of the day. Whenever pressures from work, family, friends and community mount, many people consider sleep the least expensive item on his programme. “In our society, you’re considered dynamic if you say you only need 5.5 hours’ sleep. If you’re got to get 8.5 hours, people think you lack drive and ambition.”To determine the consequences of sleep deficit, researchers have put subjects through a set of psychological and performance tests requiring them, for instance, to add columns of numbers or recall a passage read to them only minutes earlier. “We’ve found that if you’re in sleep deficit, performance suffers,” says Dr. David. “Short-term memory is weakened, as are abilities to make decisions and to concentrate.”第II卷V. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.72. 在公园里玩耍的孩子们让老人想起了他快乐的童年。

2018-2019年上海市浦东新区建平中学高三下学期月考试卷

2018学年上海市浦东新区建平中学高三第二学期月考试卷一、选择题1、下列物理概念的建立不属于用到“等效替代”方法的是()（A）质点（B）重心（C）平均速度（D）合力【答案】A2、对电磁感应现象进行深入研究并获得巨大成就的科学家是()（A）奥斯特（B）法拉第（C）库仑（D）欧姆【答案】B3、关于磁感线,下列说法正确的是()（A）磁感线是磁场中客观存在的曲线（B）在磁场中由小铁屑排列成的曲线就是磁感线（C）磁感线上的每一点的切线方向就是该处的磁场方向（D）磁感线总是从磁体的N极出发到S极终止【答案】C4、伽利略为了研究自由落体的规律，将落体实验转化为著名的“斜面实验”，从而创造了一种科学研究的方法．利用斜面实验主要是考虑到，实验时便于测量小球运动的（）（A）速度（B）时间（C）路程（D）加速度【答案】B（A）（B）（C）（D）5、关于布朗运动，下列说法中正确的是（）（A）液体分子的无规则运动就是布朗运动（B）布朗运动的激烈程度跟温度无关（C）布朗运动是悬浮在液体中的固体颗粒不断地受到液体分子的撞击而引起的（D）悬浮在液体中固体颗粒越大，在某一瞬时撞击它的分子数越多，布朗运动越明显【答案】C6、两列振幅和波长都相同而传播方向相反的波（如图甲所示），在相遇的某一时刻，两列波“消失”（如图乙所示）．此时介质在x、y两质点的运动方向是（）（A）x向下，y向上（B）x向上，y向下（C）x、y都向上（D）x、y都向下【答案】A7、如图，是一个质点做匀变速直线运动s-t图中的一段。

从图中所给的数据可以确定质点在运动过程中经过图线上P点所对应位置时的速度大小一定( )（A）大于2m/s（B）等于2m/s（C）小于2m/s（D）无法确定【解析】物体做的是匀变速直线运动，p点为位移的中间位置,而这段时间的平均速度的大小为2m/s，根据匀变速直线运动的规律可以知道，此段位移的中间时刻的瞬时速度即为2m/s，因为中间时刻的瞬时速度要小于中间位置的瞬时速度，所以P点速度要大于2m/s，所以A正确。

上海市浦东新区2017-2018学年高三9月月考英语试题 Word版含答案

2017-2018学年度浦东新区高三英语口试试卷（9月份月考）（共分三个部分满分为10分）Section A （共1题，满分2分）Directions: Read aloud the following passage. You will have one minute to prepare and thirty seconds to read.In the midst of a downpour, a young girl in a blue shirt held an umbrella for a traffic police officer. The scene was photographed, posted and widely reposted.The officer, Zhao Lixin, explained that the incident occurred around 6 p.m. on July 21. It was raining heavily during rush hour, so the road was crowded and vehicles were moving very slowly. Although he was wearing a raincoat, his hat was already quite wet.“The traffic light changed and I turned around. When I looked up, a girl stood behind me, holding an umbrella. I was astonished. The concrete island in the middle of the street was really only big enough for one person to stand on.” Zhao recalled. “I told her to leave because it was dangerous. I had a raincoat, but she still refused to leave. She said my hat was wet and she would hold an umbrella for me.”朗读段落评分标准（2分）2.0：发音清晰准确，语调自然正确，文章断句合理，没有生词，朗读流利。

2017年9月建平中学高三开学考试卷(带解析)

上海市浦东新区建平中学2017-2018学年高三上学期开学考语文试题(解析版)

2017-2018上海市浦东新区建平中学高三上学期开学考语文试卷一、积累运用10分1.按要求填空。

（1）使人之所恶莫甚于死者，_________________？（《孟子》二章）（2）_______________，杜鹃声里斜阳暮。

（《踏莎行﹒______》）（3）马致远的《天净沙﹒秋思》中“枯藤老树昏鸦，小桥流水人家”一句有奇妙的艺术效果，陆游的《书愤》中也有一句用到了与之相似的手法是“___________，____________”。

【答案】 (1). 则凡可以辟患者何不为也 (2). 可堪孤馆闭春寒 (3). 郴州旅舍 (4). 楼船夜雪瓜洲渡 (5). 铁马秋风大散关【解析】【详解】本题考查学生默写古诗文的能力。

不仅要求学生直接默写出指定的文句，而且加强了对学生理解古诗词能力的考察，包括诗词手法的考察。

这类题目要求考生日常加强背诵识记和理解，尤其是不仅能背诵默写，还要真正理解古诗词的意思并对古诗词的手法进行理解和对比记忆。

默写时注意以下字词的书写：辟、堪、孤馆、郴州、渡等。

2.按要求选择。

（1）祖父年轻时错过了受教育的良机，想要参加老年大学，又心存犹豫。

我们可以用来鼓励他的句子是（）A.老当益壮，宁移白首之心。

B.勿言年齿暮，寻途尚不迷。

C.烈士暮年，壮心不已。

D.东隅已逝，桑榆非晚。

（2）填入下面语段空白处的句子，最恰当的一项是（）雨停了，月亮穿过云雾，把明亮的光辉散在广场上，广场像用银子铺成似的。

在有积水的洼地上，，变成了透明的、奇异的、童话般的世界。

A.映出了闪动的月亮的影子，好像天空和地上同时有无数个月亮，把这五月之夜的乡村，映照得如同在水晶体中一样B.同时有无数个月亮，映照着如同水晶体一样的五月之夜的乡村，天空和地上到处闪动着月亮的影子C.同时有无数个月亮闪动着妩媚的影子，五月之夜的乡村，被映照得如同白昼一样D.映出了闪动的月亮的影子，天空和地上好像都在燃放着烟火，五月之夜的乡村变成了五彩缤纷的世界【答案】 (1). D (2). A【解析】【详解】（1）本题考查学生言表达简明、连贯、得体、准确、鲜明、生动的能力。

2018-2019学年上海市浦东新区建平中学高三上学期开学考考试试卷

2018学年上海市浦东新区建平中学高三年级上学期开学考考试卷I. Listening Comprehension (略)II. Grammar and Vocabulary (20分)Section ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Have you ever been embarrassed because you forgot something important? What kinds of things do you have the most trouble (21)remembering (remember)?Mark began to introduce the guest speaker to the audience, but then paused in horror. He had forgotten her name.Barbara hid her jewelry when she went on vacation. When she came back, she couldn’t remember (22)where she’s put it.Perhaps you have had experiences like these. Most people have. And, what’s more, most people (23)have bowed (bow) to a life of forgetting. They are unaware of a simple but important fact: Memory can be developed. If you will just accept that fact, this book will show you (24)how it can be improved.First, relax. If you are overanxious about remembering something, you will forget it. Relaxing will enhance your awareness and ability to concentrate. You can’t remember anything (25)unless you can concentrate.Second, avoid being negative. If you keep telling (26)yourself that your memory is bad, your mind will come to believe it and you won’t remembers things. When you forget something, don’t say," Gee, I need to have my brain (27) rewired (rewire).” Instead, you need to take an active role.(28) Like your body, your memory can be strengthened strong exercised. Look for opportunities to exercise your memory. For example, if you are learning a language, try to actively remember irregular verbs.You may also want to make associations, or links, between (29)what you are trying to remember and things you already know. For example, if you need to catch a plane at 2:00 p.m., you can imagine a plane in your mind and notice that it has two wings. Two wings = 2:00. You are now ten times (30) less likely (likely) to remember the rake-off time.【答案】21. remembering 22. where 23. have bowed; 24. how; 25. unless;26. yourself; 27. rewired; 28. Like; 29. what; 30. more likely【解析】1.重难点词汇解析：（1）embarrass （vt.）使窘迫，使尴尬（2）overanxious （adj.）过于焦急的，过度操心的rewire （给）（v.）...再打/发电报，给...换新电线，重装电线（3）strengthen （v.）加/变强或变坚挺；巩固（4）irregular（n.adj.）不规则的/物，无规律的，非正规的，不合法的，不合规矩的产品（5）have trouble doing 做...有困难in horror 惊恐地bow to...向...鞠躬avoid doing 避免做...2.语篇整体分析：文章大意：这是一篇关于通过建立你所要记的内容与已经知道的知识相结合的方法之间的联系来增强记忆，避免尴尬的文章。

2018-2019学年建平中学高三开学考数学试卷含答案

建平中学高三数学开学考2018.09.06一. 填空题1. 若复数(1i)(i)a 是实数（i 是虚数单位），则实数a 的值为2. 已知集合2{|(1)()0,}x x x x a x --+=∈R 中的所有元素之和为1，则实数a 的取值集合为3. 已知()f x 函数是定义在R 上的偶函数，当0x ≤时，32()f x x x =-，则当0x >时，()f x 的解析式为4. 已知△ABC 中，点A 、B 、C 的坐标依次是(2,1)A -、(3,2)B 、(3,1)C --，BC 边上的高为AD ，则D 的坐标是5. 集合2541{|()1}2xx A x -+=≥，2{|2(2)0}B x x a x a =--+≤，若B A ⊆，则实数a 的取值范围为6. 若不等式|3|4x b -<的解集中的整数有且仅有1，2，3，则b 的取值范围为7. 已知数列{}n a 的通项公式为|13|n a n =-，那么满足119102k k k a a a ++++⋅⋅⋅+=的整数k 的个数为8. 已知整数以按如下规律排成一列：(1,1)、(1,2)、(2,1)、(1,3)、(2,2)，(3,1)，(1,4)， (2,3)，(3,2)，(4,1)，⋅⋅⋅，则第60个数对是9. 已知函数()sin()6f x x πω=+（0ω>），若函数()f x 图像上的一个对称中心到对称轴的距离的最小值为3π，则ω的值为 10. 将正整数12分解成两个正整数的乘积有112⨯，26⨯，34⨯三种，其中34⨯是这三种分解中，两数差的绝对值最小的，我们称34⨯为12的最佳分解，当p q ⨯（p q ≤且 *,p q ∈N ）是正整数n 的最佳分解时，我们规定函数()p f n q =，如3(12)4f =，关于函数()f n 有下列叙述：①1(7)7f =；②3(24)8f =；③4(28)7f =；④9(144)16f =，其中正确的序号为11. 已知函数2()(1)1f x ax b x b =+++-，若对于任意的b ∈R ，函数()()F x f x x =-总有两个不同的零点，则a 的取值范围是12. 设函数11()()21x f x x x =++，O 为坐标原点，n A 为函数()y f x =图像上横坐标为n （*n ∈N ）的点，向量n OA 与向量(1,0)i =的夹角为n θ，则满足 125tan tan tan 3n θθθ++⋅⋅⋅+<的最大整数n 的值为二. 选择题13. 若a 、b 为实数，则()0ab a b -<成立的一个充分不必要条件是（） A. 110a b << B. 110b a << C. 11a b < D. 11b a< 14. 若非空集合A 、B 、C 满足A B C =，且B 不是A 的子集，则（）A. “x C ∈”是“x A ∈”的充分条件但不是必要条件B. “x C ∈”是“x A ∈”的必要条件但不是充分条件C. “x C ∈”是“x A ∈”的充要条件D. “x C ∈”既不是“x A ∈”的充分条件也不是“x A ∈”的必要条件15.在直三棱柱111ABC A B C -中，2BAC π∠=，11AB AC AA ===，已知G 与E 分别为 11A B 和1CC 的中点，D 与F 分别为线段AC 和AB 上的动点（不包括端点），若GD EF ⊥，则线段DF 的长度的取值范围为（）A. B. 11[,)52 C. 1(5 D. 16. 对于数列{}n a ，若存在常数M ，使得对任意*n ∈N ，n a 与1n a +中至少有一个不小于M ，则记作{}n a M ，那么下列命题正确的是（） A. 若{}n a M ，则数列{}n a 各项均大于或等于M B. 若{}n a M ，则22{}n a M C. 若{}n a M ，{}n b M ，则{}2n n a b M + D. 若{}n a M ，则{21}21n a M ++三. 解答题17. 设有两个命题：①“关于x 的不等式22(1)0x a x a +-+>的解集是R ”；②“函数22()(21)f x a a =++是R 上的减函数”，若命题①和②中至少有一个是真命题，求实数a 的取值范围.18. 设a 为实数，函数2()2()||f x x x a x a =+--.（1）若关于x 的不等式()1f x ≥在区间(,)a +∞上恒成立，求a 的取值范围；（2）求()f x 的最小值.19. 如图所示，在三棱锥P ABC -中，PD ⊥平面ABC ，且垂足D 在棱AC 上，AB BC ==，1AD =，3CD =，PD =（1）证明：△PBC 为直角三角形；（2）求直线AP 与平面PBC 所成角的正弦值.20. 如图，直线220x y -+=经过椭圆2222:1x y C a b+=（0a b >>）的左顶点A 和上顶点D ，椭圆C 的右顶点为B ，点S 是椭圆C 上位于x 轴上方的动点，直线AS 、BS 与直线10:3l x = 分别交于M 、N 两点.（1）求椭圆C 的方程；（2）求线段MN 的长度的最小值；（3）当线段MN 的长度的最小时，在椭圆C 上是否存在这样的点T ，使得△TSB 的面积为15？若存在，确定点T 的个数，若不存在，请说明理由.21. 已知集合2{|20,}A x x x x =--≤∈Z ，集合2{|lg(8)1}B x x x =++=，集合{|,,}C x x ab a A b B ==∈∈.（1）用列举法表示集合C ；（2）设集合C 的含n 个元素所有子集为n C ，记有限集合M 的所有元素和为()S M ，求12()()()n S C S C S C ++⋅⋅⋅+的值；（3）已知集合P 、Q 是集合C 的两个不同子集，若P 不是Q 的子集，且Q 不是P 的子集，求所有不同的有序集合对(,)P Q 的个数(,)n P Q .参考答案一. 填空题1. 12. 1{0}(,)4+∞3. 32()f x x x =--(0)x >4. (1,1)5. 32(1,]7 6. (5,7) 7. 2 8. (5,7) 9. 3210. ①③ 11. (0,1) 12. 3 12. 11tan ()2(1)n n n n θ=++，分组求和，1152()213n n S n =--<+，解得3n ≤.二. 选择题13. B 14. B 15. D 16. D三. 解答题 17. 若①为真，则1a <-或13a >，若②为真，则102a -<<，综上，11(,1)(,0)(,)23a ∈-∞--+∞. 18.（1）62(,][,)a ；（2）2min 22,0()32,0a a f x aa . 19.（1）BD =PB =BC =，PC =222PB BC PC +=，得证；（2）等体积法，26APBC P ABC A PBC V V h ，∴sin A PBC h AP θ-==. 20.（1）22141x y +=；（2）83；（3）即点T 到直线SB 2个. 21.（1）{1,1,2,2,4,0}C；（2）5(112240)2128；（3）666643322702.。

上海市浦东新区建平中学2018-2019年高三年级上学期开学考语文试卷

2018--2019学年上海市浦东新区建平中学高三年级上学期开学考语文试卷一、积累运用10分1.按要求填空（5分）（1）锲而不舍，朽木不折。

锲而舍之，。

（荀子《劝学》）（2）是处红衰翠减，。

唯有长江水，无语东流。

（柳永《》）（3）陶渊明《归去来兮辞》中与“山气日夕佳，飞鸟相与还”意思相近的诗句的是“，。

”2.按要求选择（5分）（1）.下列用来称赞鲁迅文章精当的成语中最合适的一项是（）（2分）A.文不加点B.不刊之论C.标新立异D.言简意赅（2）.下列新诗中依次填入词语最合适的一项是（）（3分）甲：这样/我是唯一的人/拥有这声车鸣//唤醒一两位敏感的山民/并得到隐约的回声......（海子《小站——毕业歌》）乙：鸟声在汉城各座宫殿庭院内如密密雨点落在鬼面上/一处处都是回响......（蓉子《古典留我》）丙：大丽花/开在后院里/篱笆时，顺手带走一丝春天残余的香气（洛夫《花落无声》）A.传开、滴落、翻过B.传开、流淌、驻足C.散开、流淌、驻足D.散开、滴落、翻过【答案】1.(1) 金石可镂(2) 苒苒物华休八声甘州(3) 云无心以出岫鸟倦飞而知还2.(1) （2分）B（选D给1分）(2)（3分）D【分析】1.课内重要背诵篇目的识记和理解，掌握其作者及文学文化常识。

2.文不加点：文章一气写成，不用涂改。

形容文思敏捷，下笔成章不刊之论：比喻不能改动或不可磨灭的言论，用来形容文章或言辞的精准得当，无懈可击。

标新立异：独创新意，理论和别人不一样。

通常指提出新的主张、见解或创造出新奇的样式。

言简意赅：形容言语简练而意思完整。

二、阅读70分（一）、阅读下文，完成3-8题（16分）在《旅行青蛙》里，藏着巴赞的电影理论陈思航近日，一只面无表情的青蛙在各大社交网络流行起来，唤醒了无数人的母爱与父爱。

它来自日本HIT-POINT公司制作的手机游戏《旅行青蛙》。

这样简单、休闲的一款游戏，竟登上了苹果应用商店免费游戏榜首位。

2018学年上海市建平中学高三高考模拟考试卷

【C】
【D】
【答案】：
15.已知，若，则的值不可能是（）
【A】
【B】
【C】
【D】
【答案】：
16.对于直角坐标平面内的点 (不是原点), 的“对偶点” 是指：满足且在射线上的那个点。若是在同一直线上的四个不同的点(都不是原点),则它们的“对偶点”
【A】一定共线
【B】一定共圆
【C】要么共线，要么共圆
【D】既不共线，也不共圆
【答案】：
三、解答题（14+14+16+16+18）
17.如图,在三棱锥P-ABC中,PA⊥平面ABC,AC⊥AB,AP=BC=4,∠ABC=30∘，D. E分别是BC、AP的中点，
(1)求三棱锥P−ABC的体积；
(2)若异面直线AB与ED所成角的大小为，求tan 的值。
【答案】：
当只要取
由有正整数解
所以都是中的项，所以
综上所述，
（3）存在。证明如下
之间的项数为，即证明对任意正整数，都有
即
由
所以首项的等差数列满足题意
2017-2018学年上海市浦东新区建平中学高三高考模拟考试卷
一．填空题：（本大题满分54分，共有12题）
1.已知集合 , ,则 _______.
【答案】：
2.不等式不等式的解集是_______.
【答案】：
3.若行列式，则 _____.
【答案】：2
4. 且，则点的坐标是_________.
【答案】：
(2)若双曲线C的方程为 ,弦轴,记直线PA与直线QB的交点为M,求动点M的轨迹方程;
(3)过双曲线的左焦点F,且斜率为k的直线l与双曲线C交于、两点,求证:对任意的 ,在伴随曲线上总存在点S,使得 .

2017-2018学年上海市浦东新区建平中学高三英语周考卷教师版

建平中学高三周考卷11.21II.Grammar and vocabulary(20)Section A(10)Directions :After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks,use one word that best fits each blank.At least 10 terrorists were killed and nine policeman 1 (wound) on Sunday during a security raid in Giza province near the capital Cairo, the Egyptian Interior Ministry said in a statement.The terrorists were extremist elements 2 (escape) from North Sinai province and hiding in two apartments in Giza’s Ard al-Liwaa district in preparation for carrying out a number of terror operations, said the police statement.“Fire exchange with eight militants in the first apartment led to killing of them and shootout in the 3 apartment killed two,” said the statement , noting that the gunfire was started by the militants and it continued for four hours.“One of them threw an explosive device at the forces but it blew him off,” it added.The police said that the confrontations wounded nine policeman 4 four machine guns and ammunition were seized during the raid.Since March, similar security campaigns killed about 50 militants in the provinces of Cairo, Giza, Alexandria, Beheira, Fayoum, Qalioubiya,Minufiya, Ismailia and others.Egypt has been fighting against a wave of terror activities 5 killed hundreds of policemen and soldiers since the military toppled former Islamist president Mohamed Morsi in July 2013 in response to mass protests 6 his one-year rule and his currently outlawed Muslim Brotherhood group.Terror attacks in Egypt 7 7 focus on police and military men in North. Sinai before spreading nationwide and targeting the Coptic minority as well,with most of them 8(claim) by a Sinai-based group loyal to the regional Islamic State militant group.Another militant group 9 (refer) to itself as Hasm, which appeared late last year and is regarded by the police as an affiliate with the Brotherhood, claimed responsibility for a number of terrorist attacks that killed several policemen in the country.Meanwhile, the Egyptian military and police have killed hundreds of militants and arrested a similar number of suspects as part of the country’s anti-terror war 10 (declare) by President Abdel-Fattah al-Sisi, the army chief then, following Morsi’s removal.【答案】： 1.were wounded 2.escaping 3.other 4.while 5.that 6.against ed to 8.claimed 9.referred10.declared【分析】1. 考查动词。

2017-2018上海建平中学高三周考卷--解析版

2017年建平中学高三11月14日周考卷II.Grammar and vocabulary(20)Section A(10)Directions :After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.At least 10 terrorists were killed and nine policeman 21 (wound) on Sunday during a security raid in Giza province near the capital Cairo, the Egyptian Interior Ministry said in a statement.The terrorists were extremist elements 22 (escape) from North Sinai province and hiding in two apartments in Giza’s Ard al-Liwaa district in preparation for carrying out a number of terror operations, said the police statement.“Fire exchange with eight militants in the first apartment led to killing of them and shootout in the 23 apartment killed two,” said the statement , noting that the gunfire was started by the militants and it continued for four hours.“One of them threw an explosive device at the forces but it blew him off,” it added.The police said that the confrontations wounded nine policeman 24 four machine guns and ammunition were seized during the raid.Since March, similar security campaigns killed about 50 militants in the provinces of Cairo, Giza, Alexandria, Beheira, Fayoum, Qalioubiya,Minufiya, Ismailia and others.Egypt has been fighting against a wave of terror activities 25 killed hundreds of policemen and soldiers since the military toppled former Islamist president Mohamed Morsi in July 2013 in response to mass protests 26 his one-year rule and his currently outlawed Muslim Brotherhood group.Terror attacks in Egypt 27 27 focus on police and military men in North. Sinai before spreading nationwide and targeting the Coptic minority as well,with most of them 28(claim) by a Sinai-based group loyal to the regional Islamic State militant group.Another militant group 29 (refer) to itself as Hasm, which appeared late last year and is regarded by the police as an affiliate with the Brotherhood, claimed responsibility for a number of terrorist attacks that killed several policemen in the country.Meanwhile, the Egyptian military and police have killed hundreds of militants and arrested a similar number of suspects as part of the country’s anti-terror war 30 (declare) by President Abdel-Fattah al-Sisi, the army chief then, following Morsi’s removal.答案：21.were wounded 22.escaping 23.other 24.while 25.that26.against ed to 28.claimed 29.referred30.declared解析：21. 考查动词。

(完整版)2018年上海市浦东新区高三二模数学试卷(含答案),推荐文档

x ⎩ ⎨ 浦东新区 2017 学年度第二学期质量抽测高三数学试卷答案2018．4注意：1．答卷前，考生务必在试卷上指定位置将学校、班级、姓名、考号填写清楚．2．本试卷共有 21 道试题，满分 150 分，考试时间 120 分钟．一、填空题（本大题共有 12 小题，满分 54 分）只要求直接填写结果，1-6 题每个空格填对得 4 分，7-12 题每个空格填对得 5 分，否则一律得零分． 2n + 1 1. lim n →+∞ n -12. 不等式 x = . 2 < 0 的解集为 . (0,1) x -13. 已知{a n }是等比数列，它的前 n 项和为 S n ，且 a 3 = 4, a 4 = -8 ，则 S 5 =.114.已知 f -1(x ) 是函数 f (x ) = log 2 (x + 1) 的反函数，则 f -1(2) =. 35. ( + 1 )9二项展开式中的常数项为 x. 84 6. 椭圆⎪x = 2 c os , （为参数）的右焦点为 . (1, 0)⎨y = 3 sinx + 2 y ≤ 4 2x + y ≤ 3 16 满足约束条件⎪7. ⎪x ≥ 0⎩ y ≥ 03的目标函数 f = 3x + 2 y 的最大值为 . 3⎡⎤函数 f (x ) = cos 2 x + 8.sin 2x , x ∈ R 的单调递增区间为. k -+, k ∈ Z2⎢⎣3 , k 6 ⎥⎦已知抛物线型拱桥的顶点距水面 2 米时，量得水面宽为 8 米。

当水面下降 1 米后，水面的宽为9.米。

4 6—个四面体的顶点在空间直角坐标系O - xyz 中的坐标分别是(0,0,0)，(1,0,1)，(0,1,1)，10.(1,1，0)，则该四面体的体积为. 13已知 f (x ) 是定义在 R 上的偶函数，且 f (x ) 在[0, +∞)上是增函数，如果对于任意 x ∈[1, 2]，11.f (ax +1) ≤ f (x - 3) 恒成立，则实数 a 的取值范围是.[-1, 0]已知函数 f (x ) = x 2- 5x + 7 .若对于任意的正整数 n ，在区间⎡1, n +5 ⎤上存在 m +1个实数12.⎣⎢ n ⎥⎦a 0 , a 1, a 2 ,L , a m 使得 f (a 0 ) > f (a 1 ) + f (a 2 ) +L + f (a m ) 成立，则 m 的最大值为. 6⎧⎪3, 3二、选择题(本大题共有 4 小题，满分 20 分) 每小题都给出四个选项，其中有且只有一个选项是正确的，选对得 5 分，否则一律得零分．已知方程 x 2 - px + 1 = 0 的两虚根为 x , x ，若 x - x = 1，则实数 p 的值为（）A13.1 2 1 2A. ±B. ±C. 5 D ． ± 3, ±14.在复数运算中下列三个式子是正确的：（1） z 1 + z 2 ≤ z 1 + z 2，（2） z 1 ⋅ z 2r r r = z 1 ⋅ z 2 ，（3）r(z 1 ⋅ z 2 ) ⋅ z 3 = z 1 ⋅ (z 2 ⋅ z 3 ) ；相应的在向量运算中，下列式子：（1） a + b ≤ a + b ，（2） r r r r a ⋅ b = a ⋅ b ，（3） (a ⋅ b ) ⋅ c = a ⋅ (b ⋅ c ) ；正确的个数是（）BA ． 0B ．1 C. 2D ． 3 唐代诗人杜牧的七绝唐诗中两句诗为“今来海上升高望，不到蓬莱不成仙。

2017-2018学年上海市浦东新区建平中学高三三模试卷

建平中学2018届高三5月月考高三英语试题命题人：高三英语备课组审题人：高三英语备课组说明：（1）本场考试时间120分钟，总分140分；（2）请认真答卷，并用规范字书写。

I. Listening ComprehensionSection ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. To plan for a party. B. To celebrate his birthday.C. To give her friend a surprise.D. To avoid missing her favorite film.2. A. He will be 85 by the end of next year. B. He can get the degree before his birthday.C. He doesn't work hard enough on his study.D. He hopes he can finish his essay as planned.3. A. Pointless. B. Necessary. C. Unimaginable. D. Inspiring.4. A. The woman has just bought a new car.B. The man hopes to see the woman’s car.C. The woman used to have a car accident.D. The man doesn’t believe the woman’s words.5. A. They can get promoted sooner. B. They can make more money.C. They can win more support.D. They can find better jobs.6. A. He will play badminton tomorrow. B. Someone else has borrowed his bat.C. His bat is not in good condition.D. The woman should buy a new bat.7. A. Exchange the shirt for a new one. B. Bargain with the shirt seller.C. Get his money back.D. Wash the shirt again.8. A. A teacher. B. A coach. C. A boss. D. A doctor.9. A. He didn't know he was supposed to call the woman.B. He spoke to the woman on the phone last night.C. He tried to call the woman but failed.D. He was too busy to call the woman.10. A. She’d like a sandwich. B. She’s annoyed by the man.C. She has already got some food.D. She doesn’t want anything to eat now.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passage. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers in your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11. A. Praise. B. Talent. C. Effort. D. Confidence.12. A. They didn’t want to work hard.B. They mistook it for a hard one.C. They used to perform well in such a task.D. They hoped to keep their image of smart kids.13. A. A proper way of praising kids.B. A study about kids’ natural ability.C. A test that can raise kids’ self-confidence.D. A concept involving practice and performance.Questions 14 through 16 are based on the following passage.14. A. They can’t develop in a natural way. B. They may miss humans’ company.C. They don't feel needed.D. They may be neglected.15. A. They send them back to nature. B. They care about their health.C. They give them love.D. They desert them.16. A. Why animals should live in the wild.B. It is improper to keep wild animals as pets.C. Laws should be made to protect wild animals.D. How wild animals can live happily with humans.Questions 17 through 20 are based on the following conversation.17. A. She isn't interested in sci-fi movies. B. She needs to go home early.C. She has much work to do.D. She has seen it before.18. A. Celebrate Tina’s mum’s birthday. B. Eat in a Mexican restaurant.C. Talk a walk in the rain.D. Do nothing together.19. A. Going to a concert. B. Joining Ben’s band.C. Trying Indian food.D. Making a new plan.20. A. Indecisive. B. Inspiring. C. Grateful. D. Bossy.II. Grammar and Vocabulary（20分）Section ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Barditch High School decided to hold an All-School Reunion．Over 450 people came to the event. There were tours of the old school building and a picnic at Confederate Park. Several former teachers were on hands to tell stories about the old days. Ms. Mabel Yates, the English teacher for fifty years, 1 (wheel) to the Park．Some eyes rolled and there were a few low groans(嘟囔声) when Ms．Yates was about to speak．Many started looking at their watches and coming up with excuses to be anywhere instead of preparing to listen to a lecture from an old woman who had few kind words for her students and made them work harder than all the other teachers 2 (combine)．Then Ms. Yates started to speak:“I can’t tell you how pleased I am to be here．I haven’t seen many of you since your graduation,but I 3 (follow) your careers and enjoyed your victories as well as cried for your tragedies．I have a large collection of newspaper photographs of my students. 4 I haven’t appeared in person, I have attended your college graduations, weddings and even the birth of your children, in my imagination.”Ms. Yates then stopped 5 (cry) a bit before she continued:“It was my belief ___6____ if I pushed you as hard as I could, some of you would succeed to please me and 7 would succeed to annoy me．Regardless of our motives, I ___8___ see that you have all been successful in your chosen path.”“There is no 9 (great) comfort for an educator than to see the result of his or her years of work．You have all been a great source of pleasure and pride for me and I want you to know I love you all from the bottom of my heart.”There was a silence over the crowd for a few seconds and then someone started clapping. The clapping turned into cheering, then into a deafening roar. Lawyers, truck drivers, bankers and models were rubbing their eyes or crying openly with no shame all 10 the words from a long forgotten English teacher from their hometown．【答案】1. was wheeled2. combined3. have followed4. Though5. to cry6. that7. others8. can9. greater10. because ofSection BDirections: Fill in each blank with a proper word chosen from the box. Each word can only be usedDesigning an exhibition is a vast understanding. It is a complex and demanding activity of making ___1____ accessible through means of interpretation and translation. It requires the conscious arrangement of many parts, both ___2____ and moving, necessary in creating meaningful experiences for visitors in physical spaces. The exhibition begins with a story to tell, a lesson to teach or a collection of artifacts or artworks to ____3____. In other words, an exhibition is intended to inform, to educate or to entertain. Some exhibitions are meant to encourage thinking.Exhibition design involves the process of finding appropriate form and expression for any content. However, the process of bringing any project to reality requires the work of many _____4____ from diverse backgrounds and areas of expertise. This process typically requires a good ____5_____ of competing interests, ideas and opinions held by participants. These includecurators(馆长), educators, architects, content developers, graphic（图画的）designers and exhibition designers.All exhibitions, regardless of topic, share the inherent dialectics（内在联系）between the _____6_____ of the presenter and the experiences of the viewers. Who is displaying what and for whom? Exhibitions provide the bones for learning, exploring and interacting. They take visitors on journey and near and far---making the inaccessible accessible, and the commonplace _____7_____.The basic building blocks of an exhibition are five ----artifacts, words, physical design, graphic design and lightning. Many exhibitions, of course, have additional, often very significant component---audio, video, mechanical and computer interaction, live actors etc. Of course, graphic design---often primarily typography（文字印刷）---is the carrier and transmitter. Through typography the words have a ____8_____ presence and through the words the concept of the exhibition and the interpretation of the artifacts are expressed most ____9_____.Visitors come to an exhibition, often like foreigners in a new land, not knowing what to _____10_____. Words, conveyed through typography, are their tools and maps for understanding. The typography and the texts must be attracting at the beginning and throughout the exhibition.【答案】1. C2. J3. I4. G5. F6. K7. B8. A9. D 10. EIII. Reading Comprehension（45分）Section ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word of phrase that best fits the context.A pirate’s life no moreHONEST souls intent on paying for the music they listened to used to have a hard time in China. In the era of compact discs, ___1___ was the shop which did not sell pirated（盗版的）ones. The same held true when discs turned into downloads and online streams of songs: hardly any ____2____ charged money.Yet this is changing. Slowly, but ___3___, China is becominga market where people pay for music. Over the past five years,digital-music revenues for the recording industry nearlyquadrupled, to $195m; most of that amount comes from musicstreaming (see chart). That sum may still be a tiny fraction of theglobal total of $7.8bn, but streaming has clearly taken off in China.Not everybody is paying: of the 600m Chinese who listen tomusic online only 20m have a paid subscription, which costsbetween 8 and 12 yuan a month. The rest ___4___ for nothing, but many do so on legal, advertising-supported services. “Piracy is ___5___.” says Ed Peto of Outdustry, a firm in Beijing offering services to the music industry.If Chinese consumers have developed a liking for ___6___ listening, it is for a combination of reasons. Smartphones, which have become popular in recent years, make it easy to ___7___to streaming services. Widespread use of apps such as Alipay and WeChat Pay mean that younger Chinese, in particular, are now used to making small purchases ___8___. And, to take advantage of the commercial opportunities in music, China’s big internet platforms have begun to fight piracy.Not all is ___9___, however. The streaming market is ___10___ by one player: Tencent, the largest of China’s online giants, which is best known for its WeChat messaging service. According to some estimates, its market share exceeds 70%. Each of the company’s two leading streaming brands, QQ Music and KuGou, ___11___ hundreds of millions of users.One cause for this market concentration is acquisitions: last year Tencent bought two big competitors. More important, ___12___, it has paid three major international record labels—Warner Music Group, Sony Music and Universal Music Group—a big, but unknown, sum for the ___13___ right to stream their music in China. This means that Tencent gets to decide which songs rivals are ___14___ to play.Tencent executives say that they need such exclusivity to ensure the legitimacy of streaming services and to reduce piracy further. But having one firm have so much power “is never healthy”, says an executive at a rival firm. With the market growing quickly, the labels may ___15___ their deals with Tencent when they come up for renewal.1. A. admired B. criticized C. common D. rare2. A. service B. form C. composition D. trial3. A. ultimately B. unexpectedly C. surely D. agreeably4. A. make up B. go on C. start up D. tune in5. A. collapsing B. coming C. pressing D. staying6. A. popular B. better C. legal D. personal7. A. respond B. subscribe C. apply D. adapt8. A. casually B. privately C. instantly D. digitally9. A. effective B. simple C. rosy D. noble10. A. purchased B. dominated C. expanded D. established11. A. claims B. occupies C. targets D. seeks12. A. therefore B. however C. meanwhile D. moreover13. A. reserved B. compulsory C. exclusive D. complete14. A. allowed B. meant C. recommended D. likely15. A. compare B. resist C. make D. reconsider【答案】1. D2. A3. C4. D5. A6. C7. B8. D9. C 10. B 11. A 12. B 13. C 14. A 15.DSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)The concept of peace is a very important one in cultures all over the world. Think about how we greet people. In some languages, the phrases for greetings contain the word for peace. In some cultures we greet people by shaking hands or with another gesture to show that we are not carrying weapons – that we come in peace. And there are certain symbols which people in very different cultures recognize as representing peace. Let’s look at a few of them.The doveThe dove has been a symbol of peace and innocence for thousands ofyears in many different cultures. In ancient Greek mythology it was a symbolof love and the renewal of life. In ancient Japan a dove carrying a swordsymbolized the end of war. There was a tradition in Europe that if a dove flewaround a house where someone was dying then their soul would be at peace.And there are legends which say that the devil can turn himself into any birdexcept for a dove. In Christian art, the dove was used to symbolize the Holy Ghost and was often painted above Christ's head. But it was Pablo Picasso who made the dove a modern symbol of peace when he used it on a poster for the World Peace Congress in 1949.The rainbowThe rainbow is another ancient and universal symbol,often representing the connection between human beings andtheir gods. In Greek mythology it was associated with Iris, thegoddess who brought messages from the gods on MountOlympus. In Scandinavian mythology the rainbow was a bridgebetween the gods and the earth. In the Bible a rainbow showed Noah that the Biblical flood was finally over, and that God had forgiven his people. In the Chinese tradition, the rainbow is a common symbol for marriage because the colours represent the union of yin and yang. Nowadays the rainbow is used by many popular movements for peace and the environment, representing the possibility of a better world in the future and promising sunshine after the rain.The olive branchThe olive tree has always been a valuable source of food and oil. In Greek mythology, the goddess Athena gave the olive tree to the people ofAthens, who showed their gratitude by naming the city after her. But no oneknows for sure when or why it began to symbolize peace. There is probablya connection with ancient Greece. Wars between states were suspendedduring the Olympic Games, and the winners were given crowns of olive branches. The symbolism may come from the fact that the olive tree takes a long time to produce fruit, so olives could only be cultivated successfully in long periods of peace. Whatever the history, the olive branch is a part of many modern flags symbolizing peace and unity. One well-known example is the United Nations symbol.1. Who played the major role in making the dove a modern symbol of peace?A. Pablo Picasso.B. A god in Greek mythology.C. Jesus Christ.D. Ancient Japanese.2. How many examples does the writer give to show the rainbow as a universal symbol of peace?A. Two.B. Three.C. Four.D. Five.3. Which of the following is the best title for the passage?A. Different Concepts of Peace.B. The popularity of Peace Symbols.C. The Origins of Peace Symbols.D. Cultural Differences in Peace.【答案】1. A 2. D 3. C（B）Massive changes in all of the world’s deeply cherished sporting habits are underway. Whether it’s one of London’s parks full of people playing softball, and Russians taking up rugby, or the Superbowl rivaling the British Football Cup Final as a televised spectator event in Britain, the patterns of players and spectators are changing beyond recognition. We are witnessing a globalization of our sporting culture.That annual bicycle race, the Tour de France, much loved by the French, is a good case in point. Just a few years back it was a strictly continental affair with France, Belgium and Holland, Spain and Italy taking part in. But in recent years it has been dominated by Colombian mountain climbers, and American and Irish riders.The people who really matter welcome the shift toward globalization. Peugeot, Michelin and Panasonic are multi-national corporations that want worldwide returns for the millions they invest in teams. So it does them literally a world of good to see this unofficial world championship become just that.This is undoubtedly an economic-based revolution we are witnessing here, one made possible by communications technology, but made to happen because of marketing considerations. Sell the game and you can sell Coca Cola or Budweiser as well.The skillful way in which American football has been sold to Europe is a good example of how all sports will develop. The aim of course is not really to spread the sport for its own sake, but to increase the number of people interested in the major money-making events. The economics of the Superbowl are already astronomical. With seats at US ＄125, gate receipts alone were a staggering ＄10,000,000. The most important statistic of the clay, however, was the ＄10,000,000 in TV advertising fees. Imagine how much that becomes when the eyes of the world are watching. Economic help to the development of world sportsSo it came as a terrible shock, but not really as a surprise, to learn that some people are now suggesting that soccer change from being a game of two 45-minute halves, to one of four 25-minute quarters. The idea is unashamedly to capture more advertising revenue, without giving any thought for the integrity of a sport which relies for its essence on the flowing nature of the action.Moreover, as sports expand into world markets, and as our choice of sports as consumers also grows, we will demand to see them played at a higher and higher level. In boxing we have already seen numerous, dubious world title categories because people will not pay to see anything less than a "World Title" fight, and this means that the title fights have to be held in different countries around the world!1. Globalization of sporting culture means that ______.A. more people are taking up sportsB. traditional sports are getting popularC. many local sports are becoming internationalD. foreigners are more interested in local sports2. Which of the following is NOT related to the massive changes?A. Good economic returns.B. Revival of traditional gamesC. Communications technology.D. Marketing strategies.3. What is the author’s attitude towards the suggestion to change soccer into one of four 25-minute quarters?A. Favorable.B. Unclear.C. Reserved.D. Critical.4.This massage mainly discusses_________.A. the commercialization of sporting cultureB. the worldwide popularization of sportsC. the economic help to the development of sportsD. the availability of sports watching to more people【答案】1. C 2. B 3. D 4. A(C)One has to look a long time for an American politician of any political stripe who has failed to applaud small businesses. Still, many have little clue as to what makes such businesses succeed or fail.Federal agencies aimed at helping small business, such as the Small Business Administration and the Minority Business Development Agency, have been around for half a century, yet persistent differences remain between the performance of businesses founded by white, male entrepreneurs and the rest. Blacks are less likely to be self-employed, for example, and when they are, their businesses, on average, have lower sales and profits than do their white-or Asian-owned counterparts. If researchers could explain the causes of these differences, policy-makers could (at least in theory) supply small businesses with more useful help.Two researchers for the Census Bureau’s Centre for Economic Studies, Ron Jarmin and C.J. Krizan, recently published a working paper attempting to understand demographic （人口统计学的）differences behind small businesses’ success and failure. They concentrated on the years 2002 to 2005, with three databases at their disposal, hoping to create a more nuanced picture of business survival.Some of their findings were not terribly surprising. A firm’s chances of survival, regardless of the race or sex of its owner, decreased in poorer areas; and the better the education of the founder, the more likely it was to succeed. Businesses owned by Asians, Hispanics, or Pacific Islanders were more likely to be exporters. Older entrepreneurs were more likely to use personal savings to start their businesses while younger owners were more likely to have to close up shops during the study period than were their middle-aged rivals.However, the data also confirmed that black- and female-owned businesses tended to perform worse than the average. They were also less likely to have been funded by bank loans. Still, the businesses that survived, regardless of the owner’s race, tended to add employees at similar rates. Furthermore, after controlling for factors such as the education and race of the owner, there was no statistically significant difference in firms’ abilities to expand into different locations. Finally, black entrepreneurs were more likely to have a history of self-employment than their white counterparts. Messrs Jarmin and Krizan’s paper is not the first to suggest that black entrepreneurs, less likely to have other business owners in their family or personal networks, tend to “start small” when they venture out on their own.Most researchers get to end their papers by speculating, usually without much fear of consequence, as to the policy implications of their work. The authors of this paper, not wishing to imply that the Census Bureau might have policy opinions, declined to do so. But the reader can make some guesses. One is that mentorship programmes may be particularly useful for promoting entrepreneurship among blacks. Another is that reaching out to businesses based on the owner’s race might be less useful than supporting businesses in poorer areas. And small businesses of allstripes would be helped by improving that other institution app lauded by politicians: America’s education system.1. Most politicians in the U.S. _________________.A.have had some experience in running a small businessB.have made great efforts to help small businessesC.have paid little attention to small businessesD.have spoken highly of small businesses2. Which of the following statements is TRUE?A.Federal agencies have failed in giving small businesses much help.B.Older entrepreneurs were more keen on saving money.C.Small businesses run by white males are generally more profitable.D.More federal agencies aimed at helping small businesses will be established.3. One of Ron Jarmin and C.J.Krizan’s surprising findings is that _______________.A.successful businesses showed little difference in the rate of hiring employeesB.locations were essential factors for small businesses’ success or failureC.most black entrepreneurs tended to set up companies by themselvesD.female-owned businesses were the least likely to survive for lack of funds4. It can be inferred from the passage that ____________________.A. the Census Bureau’s Center is sponsored by th e governmentB. mentorship programs have proved unsuccessfulC. education plays a role in running a small business.D. researchers don’t have much say in how a company is run【答案】1. B 2. C 3. AC 4. ABSection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.Most of us would like to have a bright, “white” smile—filled with teeth that would make a Hollywood actor proud. Studies show that up to 52 percent of people are dissatisfied with the color of their teeth. ___1___ Globally, rows of pearl-white teeth shine out from magazines and cinema screens.It is hardly surprising, then, that we tend to think that white teeth are not only attractive but also healthy. However, new studies have revealed that pearly teeth don’t always mean great oralhealth.___2___ It can be based on our genes and ages. As you get older, your teeth often become yellower as the enamel（牙釉质）—the hard white outer layer of teeth—begins to wear away. Eating, drinking, smoking and taking certain medications might also discolor your teeth. These stains don’t actually indicate a problem with dental health. You can have pearl-white teeth and still have cavities （龋齿的洞）. Likewise, you can have perfectly healthy teeth that are yellowish or even brownish. ___3___There is even one type of stain that some researchers believe might protect against tooth decay. This is the “black stain” which you sometimes see along teeth at the edges of the gum line（牙龈线）. It can look like a series of dark dots. While the cause of the black stain has been in debate for more than a century, some studies have found that children with the stain are less likely to have tooth decay. It’s thought that some microbes in the stain might be somehow protective.So what if you still want pearl-white teeth, regardless of what they say about your health? There is a wide range of products you can use. Some kinds of toothpaste promise a whitening effect. Most of them contain substances that rub stains off your teeth. Others add some blueish substances to your yellowish teeth, resulting in a bright white color. ___4___Of course, unless you continue using the product or receiving the whitening treatment, the whiteness will only last for as long as you avoid the foods and drinks that cause the stains in the first place. But now you know that even without that Hollywood white smile, it doesn’t mean you don’t have healthy teeth.【答案】1. D 2. C 3. A 4. CIV. Summary writingDirections: Read the following passage. Summarize the main idea and main point(s) of the passage in no more than 60 words. Use your own words as far as possible.Zoos are hugely popular attractions for adults and children alike. But are they a good thing?Critics of zoos would argue that animals often suffer physically and mentally as a result of being caged. Even the best artificial environments can’t match the space, diversity and freedom that animals have in their natural habitats. This deprivation causes many zoo animals to become stressed or mentally ill. It is common that marine parks often force dolphins and whales to perform tricks. These mammals may die decades earlier than their wild relatives, and some may try to commit suicide.On the other hand, by bringing people and animals together, zoos have the potential to educate the public about conservation issues and inspire people to protect animals and their habitats. Zoos also carry out important research into subjects like animal behavior and how to treat illness. One of the most important modern functions of zoos is supporting international breeding programs, especially those for endangered species. A good zoo will enable these species to live and breed in a secure environment. Furthermore, as the number of some wild species drops, there is an increasing danger of populations becoming too genetically similar. Zoo-bred animals can be released into the wild to increase genetic diversity.However, opponents of zoos say that the vast majority of breeding programs do not release animals back into the wild. Extra animals are sold not only to other zoos and circuses but also to hunting ranches in the US or South Africa, where some people are willing to pay a lot of money for。