辽宁省实验中学分校2016-2017学年高二第一学期期末考试英语试卷

辽宁省实验中学分校2016—2017学年度上学期期末考试数学学科高二年级命题人：褚娇静校对人：简书一、选择题：本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.命题“存在，使”的否定是（）．A．存在，使 B．不存在，使C．对于任意，都有 D．对于任意，都有2．已知向量，，使成立的为（）A. B. C. D.3. ①；②设，命题“的否命题是真命题；③直线和抛物线只有一个公共点是直线和抛物线相切的充要条件；则其中正确的个数是（）A.0B.1C.2D.34. 焦点为（0，6）且与双曲线有相同的渐近线的双曲线方程是（）A. B. C. D.5.已知成等差数列，成等比数列，那么等于（）A. B. C.或 D.6．由曲线,直线,和轴围成的封闭图形的面积是( )A． B． C． D．7．已知数列中，则（）A． B． C． D．8．已知空间四边形，其对角线为、，、分别为对边、的中点，点在线段上，且，现用基向量表示向量，设，则的值分别是（）A． B．C． D．9．已知上是减函数，则的取值范围是（）A. B. C. D.10．设为抛物线：的焦点，过且倾斜角为的直线交于两点，为坐标原点，则的面积（）A． B． C． D．11．如图，已知是双曲线的焦点，过点作以为圆心，为半径的圆的切线，为切点，若切线段被一条渐近线平分，则双曲线的离心率为A ．B ．C ．D ．12．已知为R 上的可导函数，且对，均有，则有（ ）A.B.C.D.二、填空题（每题5分，满分20分，将答案填在答题纸上）13．等差数列中，若，则___________。

14.已知，为椭圆的两个焦点，过的直线交椭圆、两点，若，则=_____________。

15．将边长为2的正方形沿对角线折成直二面角，则异面直线与所成的角___________。

16．已知函数，则方程恰有两个不同实数根时，求的取值范围是___________。

辽宁省葫芦岛市2016-2017学年高二下学期期末质量检测英语试题第一部分听力（共两节，满分30分）第一节（共5小题：每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. When are the two speakers going to the school?A. On Saturday’s morning.B. On Sunday’s afternoon.C. On Saturday’s afternoon.2. Where does the man come from?A. America.B. England.C. Japan.3. What does the woman suggest the man do?A. Not smoke so heavily.B. Give up smoking.C. Take more exercise.4. What is the woman looking for?A. A friend’s house.B. A restaurant.C. A single room for night.5. When does the Boeing 747 leave for New York?A. At 8:05.B. At 8:45.C. At 8:55.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话成独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相成位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6至第7题。

6. What will the two speakers do this weekend?A. Sec a science fiction film.B. Go dancing at the Friendship Hotel.C. Have a meal in a Sichuan restaurant.7. How much will the two speakers spend on the film?A. ￥ 9.B. ￥ 6.C. ￥ 3.听第7段材料，回答第8至第9题。

辽宁省葫芦岛市2016-2017学年高二下学期期末质量检测英语试题第一部分听力（共两节，满分30分）第一节（共5小题：每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. When are the two speakers going to the school?A. On Saturday’s morning.B. O n Sunday’s afternoon.C. On Saturday’s afternoon.2. Where does the man come from?A. America.B. England.C. Japan.3. What does the woman suggest the man do?A. Not smoke so heavily.B. Give up smoking.C. Take more exercise.4. What is the woman looking for?A. A friend’s house.B. A restaurant.C. A single room for night.5. When does the Boeing 747 leave for New York?A. At 8:05.B. At 8:45.C. At 8:55. 第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话成独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相成位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6至第7题。

6. What will the two speakers do this weekend?A. Sec a science fiction film.B. Go dancing at the Friendship Hotel.C. Have a meal in a Sichuan restaurant.7. How much will the two speakers spend on the film?A. ￥ 9.B. ￥ 6.C.￥ 3.听第7段材料，回答第8至第9题。

2016-2017学年辽宁省实验中学分校高二下学期期末考试数学（文）试题一、选择题1．已知集合12{|1},log 0,M x x N x x ⎧⎫⎪⎪=<=⎨⎬⎪⎪⎩⎭则M N ⋂为（ ）A.()1,1- B. ()0,1 C. 10,2⎛⎫⎪⎝⎭D. ∅ 【答案】B【解析】试题分析：集合{|11},{|0M x x N x x =-<<=<<，所以{|01}M N x x ⋂=<<.【考点】集合的基本运算.2．复数3i 2i-1（为虚数单位）的虚部是（ ）A.15 B. 1i 5 C. 1-i 5D. 1-5 【答案】A【解析】3i 2i-1()2121=21555i i i i i ----==-+- ,虚部为15,选A. 点睛：本题重点考查复数的基本运算和复数的概念，属于基本题.首先对于复数的四则运算，要切实掌握其运算技巧和常规思路，如()()()()(),,,.a b i c d ia cb d a d bc i a b c dR++=-++∈. 其次要熟悉复数相关基本概念，如复数(),a bi a b R +∈的实部为a 、虚部为b 、对应点为(),a b 、共轭为.a bi -3．下列函数中，既不是奇函数，也不是偶函数的是（ ）A. xy x e =+ B. 1y x x =+C. 122xx y =+ D. y = 【答案】A【解析】试题分析：由题意得，函数1y x x =+和122xx y =+，满足()()f x f x -=-，所以函数都是奇函数，函数y =满足()()f x f x -=，所以函数都是偶函数，故选A.【考点】函数的奇偶性.4．王安石在《游褒禅山记》中写道“世之奇伟、瑰怪，非常之观，常在于险远，而人之所罕至焉，故非有志者不能至也”，请问“有志”是到达“奇伟、瑰怪，非常之观”的 ( )A. 充要条件B. 既不充分也不必要条件C. 充分不必要条件D. 必要不充分条件【答案】D【解析】根据题意“非有志者不能至也”可知到达“奇伟、瑰怪，非常之观”必是有志之士，故“有志”是到达“奇伟、瑰怪，非常之观”的必要条件，故选D. 5．已知α，β是平面，m ，n 是直线.下列命题中不．正确的是 （ ） A. 若m∥n，m⊥α，则n⊥α B. 若m∥α，α∩β=n ，则m∥n C. 若m⊥α，m⊥β，则α∥β D. 若m⊥α， m β⊂，则α⊥β 【答案】B【解析】试题分析：由题意得，A 中，若//,m n m α⊥，则有直线与平面垂直的判定定理得n α⊥，所以是正确的；B 中，若//,m n ααβ⋂=，则m 与n 平行或异面，所以是不正确的；C 中，若,m m αβ⊥⊥，则由平面与平面平行的判定定理得//αβ，所以是正确的；D 中， ,m m αβ⊥⊂，则由平面与平面垂直的判定定理得αβ⊥，所以是正确的．【考点】空间中线面位置的判定．6．已知一个空间几何体的三视图如图所示，根据图中标出的尺寸，可得这个几何体的体积是 ( )A. 3B. 4C. 73 D. 7 【答案】B【解析】如图,体积为()112242432⨯⨯+⨯= ,选B.7．下列命题：① “在三角形ABC 中，若sin sin A B >,则A B >”的逆命题是真命题； ②“32,10x R x x ∀∈-+≤”的否定是“32,10x R x x ∀∈-+>”； ③“若,221a b a b >>-则”的否命题为“若a b ≤，则221ab≤-”；其中正确的个数是（ ） A. 0 B. 1 C. 2 D. 3 【答案】C 【解析】“在三角形ABC 中，若sin sin A B >,则A B >”的逆命题为“在三角形ABC 中，若A B >,则sin sin A B >”,因为A B >,所以sin sin a b A B >⇒> ,是真命题；“32,10x R x x ∀∈-+≤”的否定是“32,10x R x x ∃∈-+>”； “若,221a b a b >>-则”的否命题为“若a b ≤，则221a b ≤-”；因此①③正确,选C.8．图是正方体的平面展开图，在这个正方体中：①BM 与DE 平行；②CN 与BE 是异面直线； ③CN 与BM 成60°角 ④DM 与BN 垂直 以上四个命题中，正确的是 （ ）A. ①②③B. ②④C. ②③④D. ③④ 【答案】D【解析】分析：由已知中的正方体平面展开图，画出正方体的直观图，结合正方体的几何特征，逐一判断题目中的四个命题，即可得到答案．解答：解：由已知中正方体的平面展开图，得到正方体的直观图如下图所示： 由正方体的几何特征可得： ①BM 与ED 平行，不正确；②CN 与BE 是异面直线，不正确，是平行线；③AN ∥BM ，所以，CN 与BM 所成的角就是∠ANC=60°角，正确； ④DM 与BN 垂直，DM 与BN 垂直，正确； 故选D ．9．已知函数y=log 2x 的反函数是()1y fx -=，则函数()11y f x -=-的图象是A. B.C.D.【答案】C【解析】()()111121222xx xf x f x ---⎛⎫=∴-==⋅ ⎪⎝⎭,选C.10．已知()21f x +的最大值为2， ()41f x +的最大值为a ，则a 的取值范围是 （ ）A. 2a <B. 2a >C. 2a =D. 以上三种均有可能 【答案】C【解析】因为左右平移及周期变换不影响值域大小，所以()41f x +的最大值为2，选C.11．设()sin1(0)6g x a x a a π=-+>是定义在实数集[]12,0,1x x ∈上的函数，满足条件()()12f x g x =是偶函数，且当a 时， 13]22（，，则[1,2）， 12]2（，， 31]2（，的大小关系是 （ ）A. ()()()()11,2f x f x f x f x +=-=-+B. ()0f x =C. 12x =D. 132323f f f ⎛⎫⎛⎫⎛⎫>> ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭【答案】A【解析】由题意得()()11f x f x +=-+∴ ()f x 关于1x =对称，因为当1x ≥时，函数()f x 单调递减，所以2435133233f f f f f ⎛⎫⎛⎫⎛⎫⎛⎫⎛⎫=>>=⎪ ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭⎝⎭，选A. 12．已知定义域为（－∞，0）∪（0，+∞）的函数f(x)是偶函数，并且在（－∞，0）上是增函数，若f(－3)=0，则不等式()xf x <0的解集是 （ ） A. (-3,0 ) ∪（3，+∞） B. (-∞,-3 ) ∪（3，+∞） C. (-3,0 ) ∪（0,3） D. (-∞,-3 ) ∪（0,3） 【答案】A【解析】如图， ()xf x <0()()00{ { 33000x x x x x f x f x ><⇒⇒<-<<<>或或 ,选A.点睛：(1)运用函数图象解决问题时，先要正确理解和把握函数图象本身的含义及其表示的内容，熟悉图象所能够表达的函数的性质.(2)在研究函数性质特别是单调性、最值、零点时，要注意用好其与图象的关系，结合图象研究.二、填空题 13．0x y >>是xy>1成立的__________条件．【答案】充分不必要 【解析】0x y >> 21,1211x y -⇒>>⇒-<-- ,所以0x y >>是x y>1成立的充分不必要条件．点睛：充分、必要条件的三种判断方法．1．定义法：直接判断“若p 则q ”、“若q 则p ”的真假．并注意和图示相结合，例如“p ⇒ q ”为真，则p 是q 的充分条件．2．等价法：利用p ⇒ q 与非q ⇒非p ， q ⇒ p 与非p ⇒非q ， p ⇔ q 与非q ⇔非p 的等价关系，对于条件或结论是否定式的命题，一般运用等价法．3．集合法：若A ⊆ B ，则A 是B 的充分条件或B 是A 的必要条件；若A ＝B ，则A 是B 的充要条件．14．若集合{}1,3,A x =， {}21,B x =，且{}1,3,A B x ⋃=，则x =___________．【答案】0或【解析】由题意得2223,1,3,10x x x x x x x ==≠≠≠⇒=或或15．在体积为的球的表面上有A 、B 、C 三点， 1,AB BC ==A 、C 两点的，则球心到平面ABC 的距离为 。

辽宁省葫芦岛市2016-2017学年高二下学期期末质量检测英语试题第一部分听力（共两节，满分30分）第一节（共5小题：每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. When are the two speakers going to the school?A. On Saturday’s morning.B. On Sunday’s afternoon.C. On Saturday’s afternoon.2. Where does the man come from?A. America.B. England.C. Japan.3. What does the woman suggest the man do?A. Not smoke so heavily.B. Give up smoking.C. Take more exercise.4. What is the woman looking for?A. A friend’s house.B. A restaurant.C. A single room for night.5. When does the Boeing 747 leave for New York?A. At 8:05.B. At 8:45.C. At 8:55. 第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话成独白。

每段对话或独白后有几个小题，从题中所给的A、B、C 三个选项中选出最佳选项，并标在试卷的相成位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6至第7题。

6. What will the two speakers do this weekend?A. Sec a science fiction film.B. Go dancing at the Friendship Hotel.C. Have a meal in a Sichuan restaurant.7. How much will the two speakers spend on the film?A. ￥ 9.B. ￥ 6.C.￥ 3.听第7段材料，回答第8至第9题。

2016-2017学年辽宁省实验中学分校高二（上）期末数学试卷（理科）一、选择题：本大题共12个小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1．（5分）命题“存在x∈Z使x2+2x+m≤0”的否定是（）A．存在x∈Z使x2+2x+m＞0B．不存在x∈Z使x2+2x+m＞0C．对任意x∈Z使x2+2x+m≤0 D．对任意x∈Z使x2+2x+m＞02．（5分）已知向量=（2，﹣1，3），=（﹣4，2，x），使∥成立的x为（）A．﹣6 B．6 C．D．﹣3．（5分）①若p∧q为假命题，则p，q均为假命题，②x，y∈R，“若xy=0，则x2+y2=0的否命题是真命题”；③直线和抛物线只有一个公共点是直线和抛物线相切的充要条件；则其中正确的个数是（）A．0 B．1 C．2 D．34．（5分）焦点为（0，6），且与双曲线=1有相同的渐近线的双曲线方程是（）A．B．C．D．5．（5分）已知﹣1，a1，a2，﹣4成等差数列，﹣1，b1，b2，b3，﹣4成等比数列，那么等于（）A．B．﹣ C．或﹣D．6．（5分）如图，由曲线y=x2﹣1，直线x=0，x=2和x轴围成的封闭图形的面积是（）A．1 B．C．D．27．（5分）在数列{a n}中，a1=2，a n+1=a n+ln（1+），则a n=（）A．2+lnn B．2+（n﹣1）lnn C．2+nlnn D．1+n+lnn8．（5分）如图，已知空间四边形OABC，其对角线为OB、AC，M、N分别是对边OA、BC的中点，点G在线段MN上，且=2，现用基向量，，表示向量，设=x+y+z，则x、y、z的值分别是（）A．x=，y=，z=B．x=，y=，z=C．x=，y=，z=D．x=，y=，z=9．（5分）若f（x）=﹣x2+bln（x+2）在（﹣1，+∞）上是减函数，则b的取值范围是（）A．[﹣1，+∞）B．（﹣1，+∞）C．（﹣∞，﹣1]D．（﹣∞，﹣1）10．（5分）设F为抛物线C：y2=3x的焦点，过F且倾斜角为30°的直线交C于A，B两点，O为坐标原点，则△OAB的面积为（）A．B．C．D．11．（5分）如图，已知F1，F2是双曲线的下，上焦点，过F2点作以F1为圆心，|OF1|为半径的圆的切线，P为切点，若切线段PF2被一条渐近线平分，则双曲线的离心率为（）A．3 B．2 C．D．12．（5分）已知f（x）为R上的可导函数，且对∀x∈R，均有f（x）＞f′（x），则有（）A．e2014f（﹣2014）＜f（0），f（2014）＜e2014f（0）B．e2014f（﹣2014）＜f（0），f（2014）＞e2014f（0）C．e2014f（﹣2014）＞f（0），f（2014）＜e2014f（0）D．e2014f（﹣2014）＞f（0），f（2014）＞e2014f（0）二、填空题（每题5分，满分20分，将答案填在答题纸上）13．（5分）在等差数列{a n}中，若a4+a6+a8+a10+a12=120，则a8的值为．14．（5分）已知F1、F2为椭圆=1的两个焦点，过F1的直线交椭圆于A、B两点，若|F2A|+|F2B|=12，则|AB|=．15．（5分）将边长为2的正方形ABCD沿对角线BD折成直二面角A﹣BD﹣C，则异面直线AB与CD所成的角．16．（5分）已知函数f（x）=，则方程f（x）=ax（a＞0）恰有两个不同实数根时，求a的取值范围是．三、解答题（本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.）17．（10分）设命题p：x≤或x≥1，命题q：（x﹣a）（x﹣a﹣1）≤0，若p是￢q的必要不充分条件，求实数a的取值范围．18．（12分）已知椭圆C1：+=1（0＜b＜2）的离心率为，抛物线C2：x2=2py（p＞0）的焦点是椭圆的顶点．（1）求抛物线的方程；（2）过点M（﹣1，0）作抛物线的切线l，求切线l的方程．19．（12分）如图，在四棱锥P﹣ABCD中，PA⊥底面ABCD，AD⊥AB，AB∥DC，AD=DC=AP=2，AB=1，点E为棱PC的中点．（Ⅰ）证明：BE⊥DC；（Ⅱ）求BE的长；（Ⅲ）若F为棱PC上一点，满足BF⊥AC，求二面角F﹣AB﹣P的余弦值．20．（12分）已知S n为等比数列{a n}的前n项和，且S n=3n+r．（1）求r的值，并求数列的通项公式a n；（2）若b n=，求数列{b n}前n项和T n．21．（12分）设函数f（x）=a2lnx﹣x2+ax，（a＞0）．（1）求f（x）的单调区间；（2）求所有实数a，使e﹣1≤f（x）≤e2，∀x∈[1，e]恒成立．22．（12分）已知点A1（﹣2，0），A2（2，0），过点A1的直线l1与过点A2的直线l2相交于点M，设直线l1斜率为k1，直线l2斜率为k2，且k1k2=．（1）求直线l1与l2的交点M的轨迹方程；（2）已知F2（1，0），设直线l：y=kx+m与（1）中的轨迹M交于P、Q两点，直线F2P、F2Q的倾斜角分别为α、β，且α+β=π，求证：直线l过定点，并求该定点的坐标．2016-2017学年辽宁省实验中学分校高二（上）期末数学试卷（理科）参考答案与试题解析一、选择题：本大题共12个小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1．（5分）命题“存在x∈Z使x2+2x+m≤0”的否定是（）A．存在x∈Z使x2+2x+m＞0B．不存在x∈Z使x2+2x+m＞0C．对任意x∈Z使x2+2x+m≤0 D．对任意x∈Z使x2+2x+m＞0【解答】解：∵命题“存在x∈Z使x2+2x+m≤0”是特称命题∴否定命题为：对任意x∈Z使x2+2x+m＞0故选D．2．（5分）已知向量=（2，﹣1，3），=（﹣4，2，x），使∥成立的x为（）A．﹣6 B．6 C．D．﹣【解答】解：向量=（2，﹣1，3），=（﹣4，2，x），若∥，则=λ，即，解得λ=﹣2，x=﹣6；∴x的值为﹣6．故选：A．3．（5分）①若p∧q为假命题，则p，q均为假命题，②x，y∈R，“若xy=0，则x2+y2=0的否命题是真命题”；③直线和抛物线只有一个公共点是直线和抛物线相切的充要条件；则其中正确的个数是（）A．0 B．1 C．2 D．3【解答】解：①∵p，q中只要有一个假命题，就有p∧q为假命题，∴命题①错误；②x，y∈R，“若xy=0，则x2+y2=0的否命题是x，y∈R，“若xy≠0，则x2+y2≠0”是真命题”；③直线和抛物线只有一个公共点是直线和抛物线相切的充要条件为假命题，当直线与抛物线对称轴平行时，直线和抛物线也只有一个公共点．∴真命题的个数是1个．故选B．4．（5分）焦点为（0，6），且与双曲线=1有相同的渐近线的双曲线方程是（）A．B．C．D．【解答】解：由题意知，可设所求的双曲线方程是，∵焦点（0，6）在y 轴上，∴k＜0，所求的双曲线方程是，由﹣k+（﹣2k）=c2=36，∴k=﹣12，故所求的双曲线方程是，故选B．5．（5分）已知﹣1，a1，a2，﹣4成等差数列，﹣1，b1，b2，b3，﹣4成等比数列，那么等于（）A．B．﹣ C．或﹣D．【解答】解：由﹣1，a1，a2，﹣4成等差数列，设公差为d，则．由﹣1，b1，b2，b3，﹣4成等比数列，则，∴b2=±2．∴或．故选C．6．（5分）如图，由曲线y=x2﹣1，直线x=0，x=2和x轴围成的封闭图形的面积是（）A．1 B．C．D．2【解答】解：由曲线y=x2﹣1，直线x=0，x=2和x轴围成的封闭图形的面积为S=∫01（1﹣x2）dx+∫12（x2﹣1）dx=（x﹣）|01+（）|12=+﹣2﹣+1=2故选D．7．（5分）在数列{a n}中，a1=2，a n+1=a n+ln（1+），则a n=（）A．2+lnn B．2+（n﹣1）lnn C．2+nlnn D．1+n+lnn【解答】解：∵，，…∴=故选：A．8．（5分）如图，已知空间四边形OABC，其对角线为OB、AC，M、N分别是对边OA、BC的中点，点G在线段MN上，且=2，现用基向量，，表示向量，设=x+y+z，则x、y、z的值分别是（）A．x=，y=，z=B．x=，y=，z=C．x=，y=，z=D．x=，y=，z=【解答】解：∵M、N分别是对边OA、BC的中点，∴，．∴======，因此，．故选D．9．（5分）若f（x）=﹣x2+bln（x+2）在（﹣1，+∞）上是减函数，则b的取值范围是（）A．[﹣1，+∞）B．（﹣1，+∞）C．（﹣∞，﹣1]D．（﹣∞，﹣1）【解答】解：由题意可知，在x∈（﹣1，+∞）上恒成立，即b＜x（x+2）在x∈（﹣1，+∞）上恒成立，由于y=x（x+2）在（﹣1，+∞）上是增函数且y（﹣1）=﹣1，所以b≤﹣1，故选C10．（5分）设F为抛物线C：y2=3x的焦点，过F且倾斜角为30°的直线交C于A，B两点，O为坐标原点，则△OAB的面积为（）A．B．C．D．【解答】解：由y2=2px，得2p=3，p=，则F（，0）．∴过A，B的直线方程为y=（x﹣），即x=y+．联立，得4y2﹣12y﹣9=0．设A（x1，y1），B（x2，y2），则y1+y2=3，y1y2=﹣．∴S=S△OAF+S△OFB=×|y1﹣y2|==×=．△OAB故选：D．11．（5分）如图，已知F1，F2是双曲线的下，上焦点，过F2点作以F1为圆心，|OF1|为半径的圆的切线，P为切点，若切线段PF2被一条渐近线平分，则双曲线的离心率为（）A．3 B．2 C．D．【解答】解：∵F1，F2是双曲线的下，上焦点，过F2点作以F1为圆心，|OF1|为半径的圆的切线，P为切点，若切线段PF2被一条渐近线平分，∴F2（0，c），|F1F2|=2c，|PF1|=c，∴直线PF2的斜率k=﹣，∴直线PF2：y﹣c=﹣，过F2点作以F1为圆心，|OF1|为半径的圆的方程为x2+（y+c）2=c2，联立，得P（，﹣c），∴M（，），∵切线段PF2被一条渐近线平分，∴M（，）在渐近线y=上，∴，∴b=，∴c2=a2+b2=4a2，c=2a，∴双曲线的离心率为e=．故选：B．12．（5分）已知f（x）为R上的可导函数，且对∀x∈R，均有f（x）＞f′（x），则有（）A．e2014f（﹣2014）＜f（0），f（2014）＜e2014f（0）B．e2014f（﹣2014）＜f（0），f（2014）＞e2014f（0）C．e2014f（﹣2014）＞f（0），f（2014）＜e2014f（0）D．e2014f（﹣2014）＞f（0），f（2014）＞e2014f（0）【解答】解：令g（x）=，则g′（x）=，∵f（x）＞f′（x），∴g′（x）＜0，即函数g（x）为R上的减函数，∴g（﹣2014）＞g（0）＞g（2014），即，∴e2014f（﹣2014）＞f（0），，∴f（2014）＜e2014f（0）．故选：C．二、填空题（每题5分，满分20分，将答案填在答题纸上）13．（5分）在等差数列{a n}中，若a4+a6+a8+a10+a12=120，则a8的值为24．【解答】解：由等差数列的性质可得a4+a12=a6+a10=2a8，又∵a4+a6+a8+a10+a12=120，∴5a8=120，解得a8=24故答案为：2414．（5分）已知F1、F2为椭圆=1的两个焦点，过F1的直线交椭圆于A、B两点，若|F2A|+|F2B|=12，则|AB|=8．【解答】解：椭圆=1的a=5，由题意的定义，可得，|AF 1|+|AF2|=|BF1|+|BF2|=2a，则三角形ABF2的周长为4a=20，若|F2A|+|F2B|=12，则|AB|=20﹣12=8．故答案为：815．（5分）将边长为2的正方形ABCD沿对角线BD折成直二面角A﹣BD﹣C，则异面直线AB与CD所成的角60°．【解答】解：以E为坐标原点，EC、ED、EA分别为x，y，z轴建立直角坐标系，则A（0，0，），B（0，﹣，0），D（0，，0），C（，0，0）．=（0，﹣，﹣），=（，﹣，0）．cos＜，＞=，∴＜，＞=60°，故答案为：60°．16．（5分）已知函数f（x）=，则方程f（x）=ax（a＞0）恰有两个不同实数根时，求a的取值范围是[，）．【解答】解：如图所示，当x＞1时，f（x）=lnx﹣1，f′（x）=，令直线y=ax与曲线f（x）相切于点P（x0，lnx0﹣1），则a==，解得x 0=e2，可得切线斜率：＞．当a=时，直线y=x与f（x）=+1平行，无交点，直线y=x与曲线f （x）=lnx﹣1有两个不同交点．当时，直线y=ax与曲线f（x）=lnx﹣1有两个不同交点，与直线y=ax 有一个交点，共有3个交点，舍去．当≤a时，直线y=ax与曲线f（x）=lnx﹣1有两个不同交点，与直线y=ax 没有交点．综上可得：当≤a时，方程f（x）=ax（a＞0）恰有两个不同实数根．故答案为：[，）．三、解答题（本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.）17．（10分）设命题p：x≤或x≥1，命题q：（x﹣a）（x﹣a﹣1）≤0，若p是￢q的必要不充分条件，求实数a的取值范围．【解答】解：命题q：（x﹣a）（x﹣a﹣1）≤0，解得a≤x≤a+1，￢q为：x＜a，或x＞a+1．又命题p：x≤或x≥1，∵p是￢q的必要不充分条件，∴，且a+1≥1，解得．∴实数a的取值范围是．18．（12分）已知椭圆C1：+=1（0＜b＜2）的离心率为，抛物线C2：x2=2py（p＞0）的焦点是椭圆的顶点．（1）求抛物线的方程；（2）过点M（﹣1，0）作抛物线的切线l，求切线l的方程．【解答】解：（1）椭圆C1：+=1（0＜b＜2）的离心率为，可得：，即1﹣，a=2可得b=1，椭圆C1：+y2=1．它的顶点坐标（0，±1），抛物线C2：x2=2py（p＞0）的焦点是椭圆的顶点，可得p=2，抛物线C2：x2=4y；（2）设过点M（﹣1，0）作抛物线的切线l，y=k（x+1），则，可得x2﹣4kx﹣4k=0，△=16k2+16k=0，解得k=0或k=﹣1，所求是切线方程为：y=0或y+x+1=0．19．（12分）如图，在四棱锥P﹣ABCD中，PA⊥底面ABCD，AD⊥AB，AB∥DC，AD=DC=AP=2，AB=1，点E为棱PC的中点．（Ⅰ）证明：BE⊥DC；（Ⅱ）求BE的长；（Ⅲ）若F为棱PC上一点，满足BF⊥AC，求二面角F﹣AB﹣P的余弦值．【解答】（Ⅰ）证明：∵PA⊥底面ABCD，AD⊥AB，∴以A为原点，AB为x轴，AD为y轴，AP为z轴，建立空间直角坐标系，由题意B（1，0，0），P（0，0，2），C（2，2，0），E（1，1，1），D（0，2，0），=（0，1，1），=（2，0，0），∴=0，∴BE⊥DC．（Ⅱ）解：∵=（0，1，1），∴BE的长为||==．（Ⅲ）解：∵，=（2，2，0），由点F在棱PC上，设==（﹣2λ，﹣2λ，2λ），0≤λ≤1，∴=（1﹣2λ，2﹣2λ，2λ），∵BF⊥AC，∴=2（1﹣2λ）+2（2﹣2λ）=0，解得，设平面FBA的法向量为，则，取c=1，得=（0，﹣3，1），取平面ABP的法向量=（0，1，0），则二面角F﹣AB﹣P的平面角满足：cosα==，∴二面角F﹣AB﹣P的余弦值为．20．（12分）已知S n为等比数列{a n}的前n项和，且S n=3n+r．（1）求r的值，并求数列的通项公式a n；（2）若b n=，求数列{b n}前n项和T n．【解答】解：（1）∵a1=S 1=3+r，a1+a2=S 2=9+r，可得：a2=6，a1+a2+a3=S3=27+r，可得a3=18，可得18（3+r）=36，解得r=﹣1；公比q=3，a1=2，∴a n=2×3n﹣1．（2）b n===（）；数列{b n}前n项和T n==（）．21．（12分）设函数f（x）=a2lnx﹣x2+ax，（a＞0）．（1）求f（x）的单调区间；（2）求所有实数a，使e﹣1≤f（x）≤e2，∀x∈[1，e]恒成立．【解答】解：（1）∵f（x）=a2lnx﹣x2+ax，a＞0．∴函数的定义域为（0，+∞），∴f′（x）=﹣2x+a=，由于a＞0，即f（x）的增区间为（0，a），f（x）的减区间为（a，+∞）．（2）由题得，f（1）=a﹣1≥e﹣1，即a≥e，由（1）知f（x）在[1，e]内单调递增要使e﹣1≤f（x）≤e2对x∈[1，e]恒成立只要，解得：a=e．22．（12分）已知点A1（﹣2，0），A2（2，0），过点A1的直线l1与过点A2的直线l2相交于点M，设直线l1斜率为k1，直线l2斜率为k2，且k1k2=．（1）求直线l1与l2的交点M的轨迹方程；（2）已知F2（1，0），设直线l：y=kx+m与（1）中的轨迹M交于P、Q两点，直线F2P、F2Q的倾斜角分别为α、β，且α+β=π，求证：直线l过定点，并求该定点的坐标．【解答】（1）解：设点M（x，y），∵点A1（﹣2，0），A2（2，0），过点A1的直线l1与过点A2的直线l2相交于点M，直线l1斜率为k1，直线l2斜率为k2，且k1k2=，∴，由，整理得∵由题意点M不与A1（﹣2，0），A2（2，0）重合，∴点A1（﹣2，0），A2（2，0）不在轨迹上，∴点M的轨迹方程为（x≠±2）．（2）证明：由题意知，直线l的斜率存在且不为零，联立方程，消y，得（3+4k2）x2+8kmx+4m2﹣12=0，设P（x1，y1），Q（x2，y2），则，且，，由已知α+β=π，得，∴，化简，得2kx1x2+（m﹣k）（x1+x2）﹣2m=0，∴，整理，得：m=﹣4k，∴直线PQ的方程为y=k（x﹣4）．∴直线PQ过定点，该定点坐标为（4，0）．。

辽宁省沈阳铁路实验中学2016-2017学年高二下学期期中考试英语试题第Ⅰ卷第一部分: 阅读理解(共两节,满分40分)第一节（共15小题；每小题2分,满分30分）阅读下列短文，从每题所给的四个选项(A、B、C和D)中，选出最佳选项，并在答题卡上将该项涂黑。

AThe Score: Looking for Jobs OnlineAnalysis shows that record numbers of Americans are visiting Job Search sites; younger women make up the biggest audience. The recent flood of advertisements from and Career Builder has reminded us that the New Year is a time to re-evaluate one's current job and perhaps seek a better career.In Search of Skilled Workers, Employers Go to Summer CampWith skilled-labor shortages looming, some employers are moving to solve the problem by winning the hearts and minds of the young -- the very young. In an effort to tap future workers in middle school or earlier, big employers, including IBM and Boeing, are increasing their backing of career-driven summer camps. The camps promote kids' interest in all kinds of fields. The efforts are yielding new opportunities for families, and insights into how to help kids explore promising careers.More Women Decide to Extend CareersThree years ago, after a long career with FedEx, Anne made a difficult decision: She accepted an early retirement offer when the company was downsizing.“It was a bit of an identity crisis for me,‖ says Anne, who is in her early 60s and divorced. ―I wasn't sure what I wanted to do.”After a lengthy search, she found another position in public relations at the University of Tennessee Health Science Center in Memphis. “I needed the structure of a full-time job, the stimulation of working with others, and the reward of being productive," she says. "The income was also welcome.‖1. On the website ―‖ we can see lots of advertisements about .A. clothesB. foodsC. monstersD. jobs2. In order to get skilled workers for the future, most big companies .A. go to world-famous universities to hire employeesB. begin to support the career-driven summer campsC. begin to train middle school students even earlier in many waysD. spend much money on training their employees3. From the last paragraph we can know that .A. Anne really didn‘t want to retire earlyB. Anne enjoys a higher salary than beforeC. Anne was very happy to retire and found a new jobD. Anne found the present job easilyBHeads turned, tears dropped, and gossip-filled whispers went on and on from the hospital passages to the house windows. There was a problem: a daughter had been born. She wasn‘t the first disappointment born to her family. Although my aunt didn‘t care about giving birth to a girl, her mother-in-law constantly reminded her of the criticism she would have to face if she gave birth to a daughter. In India, most people held these views.When I visited my relatives during the summer, one sentence managed to fill me with anger and start arguments with my so-called relatives. ―You are a girl, stay within your limits.‖ They simply don‘t know how different it is living in the US. Anyway, comparisons to my cousins led me to end the arguments for the moment and accept the way they lived their lives.My words didn‘t make sense to them so my mind was set on proving them wrong.Although their words didn‘t tear me apart, their actions managed to. The amount of sexism(性别歧视) in this culture, especially my hometown, made me feel bad. It was the 21st century, yet women had to eat after the men at family gatherings. They had to cook all the family meals and were asked to take jobs that required little skill or education. It was time to change these views.As I was growing older, the same relatives r epeatedly questioned me about my future: ―What do you want to be?‖ And the answer was always the same：electrical engineer. I have a passion forelectronics; as clichéd(陈词滥调的) as it sounds, I was born to do it. When I connect wires together to repair someth ing, I can‘t contain my excitement. But when I tried to explain this to my relatives, all of them, except for my parents and grandparents, would be shocked and laugh at me —laugh because they didn‘t think I could live up to my goals, being a ―girl and all‖. It was time to change these views.In my world, being a girl is not a problem. Rather, it is an opportunity to allow passion, not stereotypes(成见), to shape my future. I decided to channel my relatives‘ views into positive energy. Rather than letting them bring me down, I let them be motivation to achieve my goal of becoming an engineer. I, a female, will become a successful engineer.4. The first paragraph was mainly written to .A. describe how bad the author‘s aunt felt for having a baby gi rlB. describe the pressure the author‘s aunt had to face when she was going to have a babyC. show that most Indian people are strongly prejudiced against womenD. show that the author‘s aunt‘s generation is fighting against prejudice against women5. From the second and third paragraphs, it can be concluded that .A. the author realized that just using words couldn‘t change the relatives‘ sexismB. the author‘s friends and relatives were jealous about her life in the USC. the author got used to being reminded to stay within her limits after she was bornD. the author often argued with her relatives because she believed US lifestyles were right6. According to the text, the author decided to change her relatives‘ views by .A. achieving her ambition of changing her hometownB. using her relatives‘ comments as motivationC. letting stereotypes influence her future decisionsD. achieving her dream of becoming an engineer7. In the article, in what way does the author show how serious the amount of sexism was in her hometown?A. By describing feeling defeated after arguments.B. By describing people‘s words, behavior and common practices.C. By stressing the conflicts she had with her relatives.D. By giving examples of how her goals were laughed at repeatedly.CMrs. Obama spoke to the graduates of Martin Luther King Jr. High School on Saturday in her only high school commencement (毕业典礼) speech this year. The ceremony took place in the gymnasium of Tennessee State University.The first lady told the 170 graduates that she spent too much of her time in college focusing on academic achievements. While her success in college and law school led to a high-profile job, she said, she ended up leaving to focus on public service. ―My message to you today is that don't waste a minute living someone else's dream,‖ she said. ―It takes lots of real work to discover what brings you joy and you won't find what you love simply by checking mailboxes or surfing the Internet.‖She said MLK reminded her of her own high school experience in Chicago.―My No.1 goal was to go to a high school that would push me and challenge me,‖ she said. ―I wanted to go somewhere that would celebrate achievements.‖ ―Unfortunately, schools like this don't exist for every kid,‖ she said. ―You are blessed.‖The first lady told the graduates that failure may be a part of their college careers, and that how they respond to difficulties determines what they will become. ―That's when you find out what you're really made of in those hard times,‖ she said. ―But you can only do that if you're willing to put yourself in a position where you might fail. Overcoming difficulties has been a mark of many great people,‖ she said. ―Oprah Winfrey was demoted(降职) from her first job as a news repo rter, and now she doesn't even need a last name,‖ she said of media giant Oprah Winfrey. ―And then there's this guy Barack Obama. I could take up a whole afternoon talking about his failures. He lost his first race for Congress,‖ the first lady joked, ―and now he gets to call himself my husband.‖8. When choosing her high school, Mrs Obama .A. wanted to study lawB. was pushed to make a choiceC. failed to find an ideal schoolD. was willing to meet challenges9. By mentioning Oprah's example, Mrs Obama wanted to tell the graduates .A. to be brave enough to risk failingB. to work hard to get promotedC. to start as a news reporterD. not to waste time doing what they dislike10. Where can you probably find this text?A. In a news report.B. In a politics book.C. In a graduation paper.D. On Mrs Obama's blog.11. What do we know about Mrs Obama from the text?A. She is a graduate of Tennessee State University.B. This is the first time she has given a speech to graduates.C. She complained about her school life in her speech.D. She is enthusiastic about public service.D―Regardless of social class, race and age, men say they hate to shop,‖ says Zukin, City University of New York sociology professor. ―Yet when you ask them deeper questions, it turns out that they like to shop. Men generally like to shop for books, music and hardware. But if you ask them about the shopping they do for books or music, they'll say, ‗Well, that's not shopping. That's res earch.‘‖In other words, what men and women call ―buying things‖ and how they approach that task are different.Women will wander through several 1,000-square-metre stores in search of the perfect party dress. Men will wander through 100 Internet sites in search of the perfect digital camcorder. Women see shopping as a social event. Men see it as a special task or a game to be won.―Men are frequently shopping to win,‖ says Ann, a marketing professor at Loyola University of Chicago. ―They want to get the be st deal. They want to get the best and latest one and if they do that, it makes them happy. When women shop, they're doing it in a way that they want everybody to be very happy,‖ says Ann. ―They're kind of shopping for love.‖―Teenage girls learn to shop f rom their mums and elder sisters, and they also learn to shop by examining articles in magazines like Seventeen,‖ Zukin says. ―And although men's magazinessuch as GQ and Esquire have long had shopping articles, it's TV that has the eye of young male shopp ers,‖ say Ann and Zukin.―Television shows are used by young men in the same way Seventeen or Lucky is used by girls,‖ says Zukin, ―to help make clothing and toiletry choices.‖―Of course, there are men who love to shop and are proud of it,‖ Ann says. And that is important no matter whether you buy a car or a frying pan. All men love to buy but don't want to get cheated. Ann adds, ―There actually are men who are interested, for example, in cooking or shopping or chinaware or things around the home—they become kind of girl magnets. Women like it.‖12. From the first paragraph we can find that .A. men are all dishonestB. men like to shop in factC. men hate to shop actuallyD. men are all book-lovers13. Compared to women, men usually treat shopping .A. honestlyB. frequentlyC. seriouslyD. foolishly14. As is shown in this passage, teenage girls go shopping .A. only with their sistersB. often following magazinesC. only with their mumsD. often following TV shows15. The underlined word ―magnets‖ in the last paragraph means ―‖.A. vegetables that make women beautifulB. magazines that attract young womenC. persons that have a powerful attractionD. tools that can help housewives much第二节：（共5小题,每小题2分,满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

上海市张堰中学2016学年第一学期期末考试高二英语试卷命题人：鲍鲲审核人：郑林林（考试时间：90分钟满分：100分钟）II. Grammar and VocabularySection A(10*1=10分)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.It was the night of the full moon, a time (21)______ always drives Java‘s young people mad with excitement. Fireworks(22)_______ (light)long before the moon came out.(23)_______ big noise brought people out into the warm night to enjoy the interesting scene. Everywhere, there were the paper remains of used fireworks(24)_______ (lie)on the ground. Little boys lit more and covered their ears as they waited for the explosions.The moon appeared above the horizon (地平线): huge, silver ball high above the city, and the street filled with people, as Java began to enjoy one of the year’s(25) _______(great):“the Night of the Full Moon”, a festival (节日) that is especially popular with young people.More and more young Javanese gathered together and walked slowly through the night. Joking and chatting, they moved towards the mountain on the edge of the city. They continued to climbed(26) ______they reached the old temple (寺庙) at the29of the mountain.After they were inside the temple, they drank their water and ate their moon cakes—delicious home made ones, full of (27)______(dry)fruit and nuts. Outside, on the mountain, young people sat cross-legged (28)_______circles, chatting and telling each other jokes. And still, in their hundreds, more young people continued to make their way up the mountain to admire the brightly shining moon.By midnight, the fireworks (29)_______(stop) shooting up from the gray city in the valley below them. But during the night, the sound continued (30)_______(hear) from the distance.Section B(10*1=10分)Directions: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.Consideration and wisdom are necessary before we do everything .Having taken a course of action without thinking, we find at once too many difficulties, small or big, preventing our 31 .If we avoid acting hurriedly, we can avoid most of our troubles .For instance, a young man has a gift for teaching and doing research work .What a foolish act it would be for him to go and work as a businessman! Most of us 32 to have a satisfactory life because they have selected a job for which they don't mean to go in .Without taking into consideration our means and abilities for a particular business, we should not run 33into it .However, too much care and fear results in failure .It is a mistake to hesitate or delay action when 34 action is called for .When a swimmer has to save a drowning man, he must act at once without delay . 35, to rescue a child or a woman from a burning house, we must rush in without hesitation .Where there isno room for delay and hesitation, there must be no hesitation and delay .If there is too much care and too much fear of risks, results are often attended with failure .Therefore, only with 36of consideration, courage and confidence can we get over any difficulty .We can be 37and realize our aims in life only by just getting the three points put together .Foresight and forethought, combined with courage and confidence in taking 38risks, are necessary .With them we can 39ourselves able to deal with an unexpected problem and ensure success .III. Reading ComprehensionSection A (15*1=15分)Directions: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.The survey about childhood in the Third World shows that the struggle for survival is long and hard. But in the rich world, children can suffer from a different kind of___40___-of the spirit. 41, one Western country alone now sees 14, 000 attempted suicides ( 自杀) every year by children under 15, and one child in fiveneeds psychiatric (心理) advice.There are many good things about42in the Third World. Take the close and constant relation between children and their parents, relatives and neighbors for example. In the West, the very nature of work puts___43___ between adults and children. But in most Third World villages mother and father do not go miles away each day to work in offices.44, the child sees mother and father, relations and neighbors working nearby and often____45_____ in that work.A child growing up in this way learns his or her role through joining in the community's46:helping to dig or build, look after animals or babies-rather than through playing with water and sand in kindergarten, keeping pets or playing with dolls.These children may grow up with a less oppressive sense of space and time than the47children. Their sense of days and time has a lot to do with the change of seasons and ___48_____ of the sun or the moon in the sky. Children in the rich world,49, are provided with a watch as one of the50signs of growing up, sothat they can51along with their parents about being late for school times, meal times, bed times, the timesof TV shows …Third World children do not usually have to stay indoors, still less in high rise apartments (公寓). Insteadof dangerous roads, "keep off the grass" signs and "don't speak to strangers", there is often a sense of52 to study and play. Parents can see their children outside rather than observe them53from ten floors upOf course, twelve million children under five still die every year through hunger and disease. But childhood inthe Third World is not all54____.()40. A. disaster ()41. A. As usual ()42. A. spirit ()43. A. distance ()44. A.Anyhow B. diseaseB. For instanceB. survivalB. linksB. InsteadC. povertyC. In factC.relationsC.constrastC. HoweverD.injuryD. In other wordsD. childhoodD. troubleD. Therefore()45. A.appear ()46. A. activity ()47. A.Eastern ()48. A. position 49.A.at any moment ()50. A. easiest ()51. A. care ()52. A. control ()53. A.eagerly ()54. A. satisfying B. takesB. lifeB. matureB. brightnessB.On the other handB. earliestB. worryB. dangerB. impatientlyB awfulC. producesC. workC.WesternC shapeC. at the same timeC. happiestC. hurryC. freedomC. proudlyC. rich.D. sharesD. entertainmentD.poorD.presenceD. On the wholeD. quickestD. fearD. disappointmentD. anxiouslyD. poorSection B (10*2=20分）Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)Dear Daughter,As we drove off from Columbia, I wanted to write a letter to you to tell you all that is on my mind.First, I want to tell you how proud we are. Getting into Columbia is a real proof of what a great well-rounded student you are. You should be as proud of yourself as we are.It is in college that you will discover what learning is about. This will be the period where you go from teacher-taught to master-inspired, after which you must become self-learner. So do take each subject seriously, and even if what you learn isn’t critical for your life, the learning skills you acquire will be something you will treasure forever.Follow your passion in college. Take courses you think you will enjoy. Don’t be trapped by what others think or say, but make up your own mind.Most importantly, make friends and be happy. Pick a few friends and become really close to them – pick the ones who are genuine to you. Don’t worry about their grades, looks, or even personalities.Start planning early. I think your plan to study fashion is good, and you should decide where you want to be, and get onto the right courses.Whether it is coursework planning or picking a major, you should take control of your life. I will always be there for you, but the time has come for you to be in the driver’s seat – this is your life, and you need to be in control. Being in control feels great.So please treasure your college years – make the best of your free time, become an independent thinker in control of your destiny fate, learn and grow through your successes and challenges.May your years at Columbia be the happiest of your life, and may you blossom into just what you dream to be.Love,Dad (& Mom)55.According to the letter the author’s daughter is ______.A. scared to be leaving homeB. a well-rounded studentC. the pride of her universityD. learning to drive a car56. Which advice below is given to his daughter by the author?A. Party with friends in her free time.B. Ignore what others think or say.C. choose friends with similar personalities.D. Treasure and make the best of her college years.57. From the passage, we can conclude the father is ______.A. worried about his daughterB. strict with his daughterC. positive about his daughter’s futureD. sad about his daughter’s leaving home(B)Below is a housing guide for students going to London.58. What is the advantage of using Loot?A. It has more offers from accommodation agencies than Renting.B. It gives you personal information about other corenters.C. Their website is designed mainly for students.D. There are some good bargains.59. A good agent can help you________.A. know more peopleB. find cheap accommodationC. get the right accommodation quicklyD. get free information about most accommodations60. The information passed on by word of mouth is important because________.A. it is better than that found through any other sourceB. it helps you find some of the best housing never advertisedC. the final year students always offer better informationD. the landlords have little valuable information(C)Psychologists tell us that there are four basic stages that human beings pass through when they enter and live in a new culture. This process, which helps us to deal with culture shock, is the way our brain and our personality react to the strange new things we encounter when we move from one culture to another.Culture begins with the "honeymoon stage". This is the period of time when we first arrive in which everything about the new culture is strange and exciting. We may be suffering from "jet lag" but we are thrilled to be in the new environment, seeing new sights, hearing new sounds and language, eating new kinds of food. This stage can last for quite a long time because we feel we are involved in some kind of great adventure.Unfortunately, the second stage can be more difficult. After we have settled down into our new life, we can become very tired and begin to miss our homeland and our family, friends, pets. All the little problemsin life seem to be much bigger and more disturbing when you face them in a foreign culture. This period of cultural adjustment can be very difficult and lead to the new arrival rejecting or pulling away from the new culture.The third stage is called the "adjustment stage". This is when you begin to realize that things are not so bad in the host culture. Your sense of humour usually becomes stronger and you realize that you are becoming stronger by learning to take care of yourself in the new place. Things are still difficult, but you are now a survivor!The fourth stage can be called "at ease at last". Now you feel quite comfortable in your new surroundings. You can cope with most problems that occur. You may still have problems with the language, but you know you are strong enough to deal with them.There is a fifth stage of culture shock which many people don't know about. This is called "reverse (颠倒、交换)culture shock". Surprisingly, this occurs when you go back to your native culture and find that you have changed and that things there have changed while you have been away. Now you feel a little uncomfortable back home. Life is a struggle!.61.According to the passage, culture shock happens when we______A reach our teenagersB move to a big city for the first timeC go to live in a foreign countryD meet foreign people for the first time62. All of the following are about the second stage of culture shock EXCEPT______A we are homesickB we feel rejectedC we want to leave the new cultureD we successfully adjust ourselves63. The word “thrilled ”in Para2.most probably means______A excitedB hopelessC disappointedD helpless64. The fourth stage of culture shock doesn’t appear in the passage , but we conclude that at that stage we ________A become homesick againB feel comfortable in the new cultureC find things more difficultD find the new surrounding unsatisfyingSection C(4*2=8分)Directions: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.To forgive is a virtue ,but no one has ever said it is easy. When someone has deeply hurt you ,it can be extremely difficult to let go of your hate. However ,forgiveness is possible ,and it can be surprisingly beneficial to your physical and mental health. People who forgive show less sadness ,anger and stress and more hopefulness ,according to a recent research.__65__ Try the following steps：Calm yourself.__ 66__ You can take a couple of breaths and think of something that gives you pleasure：a beautiful scene in nature ,or someone you love.Don’t wait for an apology. Many times the person who hurt you does not intend to apologize. They may have wanted to hurt you or they just don’t see things the same way. If you wait for people to apologize ,you could be waiting an awfully long time. Keep in mind that forgiveness does not necessarily mean becoming friends again with the person who upset you.Take the control away from your offender(冒犯者). Rethinking about your hurt gives power to the person who caused you pain. Instead of focusing on your wounded feelings ,learn to look for the love ,beauty and kindness around you.__67__ If you understand your offender ,you may realize that he or she was acting out of unawareness ,fear ,and even love. You may want to write a letter to yourself from your offender’s point of view.Don’t forget to forgive yourself.__ 68_ But it can rob you of your self confidence if you don’t do it.A．Why should you forgive?B．How should you start to forgive?C．Recognize the benefits of forgiveness.D．Try to see things from your offender’s angle.AB．For some people, forgiving themselves is the biggest challenge.AC．To make your anger die away, try a simple stress-management technique.65. B 66. AC 67. D 68. AB第II卷（共22分）I. Translation （12分)Directions: Translate the following sentences into English, using the words given in the brackets.1，我从上初中开始就对基友很感兴趣。

大连市第十一中学2016—2017学年度上学期第一学段考试试卷高二英语时间：100分钟分数：150分命题人：陈维莹审核人：李慧捧第一部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A,B,C和D）中，选出最佳选项。

AIn 1943, when I was 4, my parents moved from Coeur d'Alene, Idaho, to Fairbanks, Alaska, where adventure was never far away.We arrived in the summer, just in time to enjoy the midnight sun. All that sunlight was fantastic for Mom's vegetable garden. Working in the garden at midnight tended to throw her timing off, so she didn't care much about my bedtime.Dad was a Railway Express agent and Mom was his clerk. That left me in a mess. I usually managed to find some trouble to get into. Once I had a little fire going in the dirt basement of a hotel. I had tried to light a barrel(桶)of paint but couldn't really get a good fire going. The smoke got pretty bad, though, and when I made my exit, a crowd and the police were there to greet me. The policemen took my matches and drove me home.Mom and Dad were occupied in the garden and Dad told the police to keep me, and they did! I had a tour of the prison before Mom rescued me. I hadn't turned 5 yet.As I entered kindergarten, the serious cold began to set in. Would it surprise you to know that I soon left part of my tongue on a metal handrail at school?As for Leonhard Seppala, famous as a dog sledder(驾雪橇者), I think I knew him well because I was taken for a ride with his white dog team one Sunday. At the time I didn't realize what a superstar he was, but I do remember the ride well. I was wrapped(包裹)heavily and well sheltered from the freezing and blowing weather.In 1950, we moved back to Coeur d'Alene, but we got one more Alaskan adventure when Leonhard invited us eight years later by paying a visit to Idaho to attend a gathering of former neighbors of Alaska. 1．What can be inferred about the author's family?A．His father was a cruel man. B．His parents didn't love him.C．His parents used to be very busy. D．His mother didn't have any jobs.2．What happened when the author was 4?A．He learned to smoke. B．He was locked in a basement.C．He was arrested（逮捕）by the police. D．He nearly caused a fire accident. 3．Which of the following is true?A．Leonhard was good at driving dog sleds.B．The author spent his whole childhood in Alaska.C．Leonhard often visited the author's family after 1950.D．The author suffered a lot while taking the dog sled in Alaska.4．What is the author's purpose of writing the text?A．To describe the extreme weather of Alaska.B. To look back on his childhood with adventures.C．To express how much he misses Leonhard.D．To show off his pride in making trouble.BWhere to Stay in Rio, Brazil?5. The four places all provide the service or facilities of ___________.A. free Wi-FiB. free parkingC. free physical exercising facilitiesD. free safe deposit box6. What do we know about Ibis RJ Santos Dumont?A. It is the only place allowing taking pets in.B. It is the only place providing the service of Brazilian dishes.C. It is the nearest to the Galeão International Airport.D. It is the closest to the beach.7. If a rich family wants to enjoy French dishes and sunbathing on the beach, they may___________.A. call (+55) 21/979049542B. call (+55) 21/35064500C. call (+55) 21/25251232D. call (+55) 21/368720008. Which might be your best choice if you and your seven poor roommates are interested in sports?A. Sofitel Rio de Janeiro CopacabanaB. Golden Tulip Ipanema PlazaC. Ibis RJ Santos DumontD. Casa Mamoré 93CWhy elephants rarely get cancer is a mystery that has confused scientists for decades. A study was led by researchers at Huntsman Cancer Institute(HCI)at the University of Utah and Arizona State University, including researchers from the Ringling Bros. Center for Elephant Conservation may have found the answer. According to the results, elephants have 38 additional modified copies of a gene(基因)that encodes p53, a well-defined tumor(肿瘤)suppressor, as compared to humans, who have only two. Further, elephants may have a more powerful mechanism for killing damaged cells that are at risk for becoming cancerous. In isolated elephant cells, this activity is doubled compared to healthy human cells, and five times that of cells from patients with Li-Fraumeni Syndrome, who have only one working copy of p53 and more than a 90 percent lifetime cancer risk in children and adults. The results suggest extra p53 could explain elephants’increased resistance to cancer.“Nature has already figured out how to prevent cancer. It’s up to us to learn how different animals overcome the problem so we can adapt those stra tegies to prevent cancer in people, ”says co-senior author Joshua Schiffman, M. D. , pediatric oncologist(肿瘤学家)at Huntsman Cancer Institute, University of Utah School of Medicine, and Primary Children’s Hospital.According to Schiffman, elephants have long been considered a walking problem. Because they have 100 times as many cells as people, they should be 100 times more likely to have a cell slip into a cancerous state and cause the disease over their long life span of 50 to 70 years. And yet it’s be lieved that elephants get cancer less often, a theory confirmed in this study. Analysis of a large database of elephant deathsestimates a cancer death rate of less than 5 percent compared to 11 to 25 percent in people.9. Why do humans often get cancer compared to elephants according to the passage?A. Elephants are bigger than humans.B. Elephants have more p53 than humans.C. Elephants are not as clever as humans.D. Elephants eat more than humans.10. Which of the following is right according to the passage?A. Some damaged cells may be dangerous.B. Some damaged cells are not dangerous.C. Some damaged cells can’t be cancerous.D. Some damaged cells in elephants’bodies are more dangerous than those in humans’bodies.11. What can we know from the last paragraph?A. Elephants have more cells than people.B. Elephants can get cancer easily.C. Elephants seldom die from cancer.D. Elephants often die from cancer.12. Which of the following can be the best title for the passage?A. Elephants help usB. Learn from NatureC. How to deal with cancerD. Nature helps us prevent cancerDAutumn blues? Let the sunshine inFalling leaves, flowers, and cold winds, for many people late autumn can be a season of depression.Those who suffer from “the autumn blue” are often extremely tired, lack energy, need more sleep, feel increased appetite and gain weight. "The exact cause of this condition, often called seasonal depression or seasonal affective disorder (SAD), is not known yet," says Chen Jue, associate professor at Shanghai Mental Health Center. "But recent studies indicate that weather change is influential and strongly suggest that this condition is caused by changes in the availability(得到) of sunlight."One theory is that with decreased exposure to sunlight, the biological clock that regulates mood, sleep, and hormones is delayed, running more slowly in winter. Exposure to light may reset the biological clock. Another theory is that brain chemicals that transmit information between nerves, called neurotransmitters (for example, serotonin), may be changed in individuals with SAD. It is believed that exposure to light can correct these imbalances. "It is a sad season, but you can try to make it happy. Remember, spring always lives in your heart," Chen says. “Going outdoors to get some sunlight may reduce the tension that brings you the low spirits. Relax at work. Stretch, breathe deeply. Take a tea break. Think of your next vacation. Co lor treatment also works in handling low mood. Music also plays a role in treating autumn blues.”13. From the third paragraph we know that there ____ that can help to deal with autumn blues.A. is no biological clockB. is a real exampleC. are certain waysD. is no possibility14. Which of the following is true according to the text?A. People feel tired in autumn.B. Autumn blues can be feelings of happinessC. Weather doesn’t change people.D. The real cause for autumn blues is still unknown.15. Which of the following CAN’T you do in order to deal with autumn blues?A. Take outdoor activities or sports.B. Eat more food very low in calories and sugar.C. Keep the balance of nerves that transmit information.D. Reset the biological clock regulating mood, sleep and hormones.第二节（共5小题；每小题2分，满分10分）根据短文内容, 从短文后的选项中选出能填入空白处的最佳选项。

辽宁省实验中学分校2016—2017学年度上学期期末考试文科数学 高二年级 命题人 谷志伟 校对人 李慧一、选择题（本大题共12小题，每小题5分，共 60分，在每小题给出的四个选项中，只有一项是符合题目要求的）（1）已知i 是虚数单位，若(12)z i i =-+，则z 的实部与虚部分别为 （ ） （A ）1-，2- （B ）1-，2i - （C ）2-，1- （D ）2-，i - （2）若'0()3f x =-，则000()(3)limh f x h f x h h →+--=（ ） （A ）3- （B ）6- （C ）9- （D ）12-（3）已知命题p 和命题q ，若p q ∧为真命题，则下面结论正确的是 （ ） （A ）p ⌝是真命题 （B ）q ⌝是真命题 （C ）p q ∨是真命题 （D ）()()p q ⌝∨⌝是真命题（4）已知等差数列{}n a 的前n 项和为n S ，公差为d ，且120a =-，则“35d <<”是“n S 的最小值仅为6S ”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（5）已知,x y 满足不等式4202802x y x y x -+≥⎧⎪+-≥⎨⎪≤⎩设y z x =，则z 的最大值与最小值的差为（ ）（A ） 4 （B ） 3 （C ） 2 （D ）1（6）已知矩形ABCD 中，BC AB 2=,若椭圆的焦点是BC AD ,的中点，且点D C B A ,,,在椭圆上，则该椭圆的离心率为 （ ） （A ）16117+ （B ）16117- （C ）4115- （D ）4117-（7）已知命题2:"[1,2],0"p x x a ∀∈-≥；命题2:",220"q x R x ax a ∃∈++-=．若命题“p 且q ”是真命题，则实数a 的取值范围为 （ ） （A ）2a ≤-或1a = （B ）2a ≤-或12a ≤≤ （C ）1a ≥ （D ）21a -≤≤（8）已知F 是双曲线C ：223(0)x my m m -=>的一个焦点，则点F 到C 的一条渐近线的距离为 （ ）（A （B ）3（C （D ）3m （9）在下面的四个图象中，其中一个图象是函数3221()(1)13f x x ax a x =++-+ ()a R ∈的导函数()y f x '=的图象，则(1)f -等于 （ ）（A ）13 （B ）－13 （C ）73 （D ）－13或53（10）已知各项均为正数的等比数列{}n a 的前n 项之积为n T ，且227a =，369127a a a ⋅⋅=，则当n T 最大时，n 的值为 （ ） （A ）5或6 （B ）6 （C ）5 （D ）4或5（11）直线l 过抛物线22y px =，(0)p >的焦点，且交抛物线于,A B 两点，交其准线于C点,已知||4AF =，3CB BF =，则p = （ ）（A ）43 （B ）83（C ）2 （D ）4（12）已知函数()ln f x x =，(1,)x ∈+∞的图象在点()00,ln x x 处的切线为l ，若l 与函数21()2g x x =的图象相切，则0x 必满足 （ ） （ln 20.6931≈，ln 3 1.0986≈）（A ）0x 1<< （B 0x <<2 （C ）023x << （D ）034x <<二、填空题（本大题共4小题，每小题5分，共 20分） （13）在数列{}n a 中，12a =，1211nn a a n +=-+，则3a =____________． （14）已知函数x x mx x f 2ln )(2-+=在定义域内为增函数，则实数m 的取值范围为 .（15）已知下列命题：①命题2",13"x R x x ∃∈+> 的否定是2",13"x R x x ∀∈+<；②已知,p q 为两个命题，若""p q ∨为假命题，则"()()"p q ⌝∧⌝为真命题； ③"2"a >是"5"a >的充分不必要条件；④“若0xy =，则0x =且0y =”的逆否命题为真命题． 其中所有真命题的序号是________．（16）已知双曲线22221x y a b -=(0,0)a b >>的左右两个焦点分别为1F ，2F ，M 为圆2224a x y +=上的点，过左焦点1F 与点M 的直线交双曲线右支于点P ，若M 为线段1PF 的中点，当12PF F ∆为锐角三角形时，双曲线的离心率范围为______________ 三、解答题（本大题共6小题，共 70分） （17）（本小题满分10分）已知命题:p “[0,1]x ∀∈，20x a -≤”，命题:q x 轴上的椭圆的标准方程”.若命题“p q ∧”是真命题，求实数a 的取值范围.（18）（本小题满分12分）已知抛物线:C 22(0)y px p =>以2x =-为准线方程，过x 轴上一定点(3,0)P 作直线l 与抛物线交于不同的两点A 、B （1）求抛物线C 的标准方程； （2）求弦AB 的中点M 的轨迹方程。