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22. No matter when people ________ him about their financial troubles, the lawyer is always ready with advice.

  A. consult  B. acquire  C. demand  D. inform

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21. This article may shock some sensitive readers,      I offer my apologies in advance.

   A. from whom   B. for whom    C. to whom    D. towards whom

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20. -Where will you start your work after graduation? 

一It’s not been decided yet. I      continue my studies for a higher degree.

    A. need           B. would           C. might           D. must

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19. One can be strong, brave and faithful after all these hardships he has ________.

  A. looked through  B. got through   C. put through  D. gone through

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18. Choosing the right dictionary depends on ______ you want to use it for.

A. why   B. what   C. how   D. whether

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17. - I have heard you are going to change your job. Are you serious?

-_______. I will quit my job.

A. Yes, I’ve made up my mind      B. No, I was joking     

C. Yes, I do hope so          D. No, I’m not

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第一节  单项填空(共15小题;每小题1分,满分15分) 

从A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。 

16. We are now living in ______ “Information Age”, ______ time of new discoveries and great changes.

  A. the; a  B. an; the  C. 不填; a  D. the; the

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(17)(本小题满分14分)

已知中,,记,    (Ⅰ)求关于的表达式;

(Ⅱ)求的值域;

(18)(本小题满分14分)

满足条件,求的最大值和最小值,并求出相应的值.

(19)(本小题满分14分)

在正方体中,分别为棱的中点.

(Ⅰ)求证:∥平面

(Ⅱ)求证:平面⊥平面.

(20)(本小题满分14分)

已知A、B、C是椭圆上的三点,其中点A的坐标为,BC过椭圆m的中心,且.

(Ⅰ)求椭圆的方程;

(Ⅱ)过点的直线l(斜率存在时)与椭圆m交于两点P,Q,设D为椭圆m与y轴负半轴的交点,且.求实数t的取值范围.                                  

(21)(本小题满分14分)

已知函数的图象经过点为数列 的前项和.

(Ⅰ)求

(Ⅱ)若数列满足求数列的前项和.

辽宁省锦州市2010届高三上学期期末考试

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