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27.      , all the quarrels came to an end.

  A. The lost money was found     B. Was the lost money found

  C. Because the lost money found    D. With the lost money found

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26.       the project as planned, we will have to work two more hours today.

  A. Completing    B. Complete     C. Completed     D. To complete

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Directions: Beneath each of the following sentences there are four choices marked A,B,C, and D. Choose one answer that best completes the sentence.

25. Anna Douglas uses her thinking ability to see the truth       a problem.

  A. from     B. behind    C. on    D. beneath

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Section A

Directions: In part 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 in your paper, and decide which one is the best answer to the question you’ve heard.

 1. A. She will be upset probably.   

B. She is pleased with their move.

  C. She feels a little disappointed.

 D. Moving to the south is better than moving to the north.

 2. A. To quit basketball.  

B. To give the reason for giving up basketball.

  C. To go on playing basketball in spite of failure.  

D. To take part in another game.

 3. A. Because he was murdered.       B. Because he was ill.

  C. Because there was a fire in the school.   D. Because he was dismissed from the school.

 4. A. He is an official in the government.    B. He is a professor in Backer College.

  C. He is a university student.        D. He is a doctor in a hospital.

 5. A. The teacher and the student.       B. The historian and the student.

  C. The librarian and the student.       D. The landlady and the tenant.

 6. A. $12.     B. $4.    C. $2.    D. $1.

 7. A. Give her the correct time.    B. Use her notes.

  C. Time the speech.        D. Continue reviewing.

 8. A. Helping a friend find the right department.   B. Buying himself some shoes.

  C. Taking a class at the gymnasium.       D. Returning a jogging suit he bought.

 9. A. Making a pot of coffee.      B. Trying different brands of coffee.

  C. Drinking less coffee.        D. Getting different coffee pot.

10. A. He agrees with the woman.    B. He will talk to Bill.

  C. Bill is always like that.        D. The woman should be happy.

Section B

Directions: In part B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers in your paper and decide which one would be the best answer to the question you’ve heard.

Questions 11 through 13 are based on following passage.

11. A. A car.     B. A village.     C. A post office.     D. A shop.

12. A. They observed the building carefully. 

 B. They discovered the number of the guards.

 C. They stole an old car.       

 D. They bought marks and guns.

13. A. 3.     B. 45.      C. 9.     D. 12.

Questions 14 through 16 are based on the following passage.

14. A. Average tuition costs increased by 9 percent.

  B. Average tuition costs increased by 15 percent.

  C. Average tuition costs increased by 90 percent.

  D. Average tuition costs increased by 150 percent.

15. A. By $150.    B. By $2,150.    C. By $6,700.    D. By $5,300.

16. A. That they must pay more than out-of-date students. 

 B. That only a few are accepted.

  C. That they can’t get scholarship at state universities.

  D. That their scholarships were very small.

Section C

Directions: In Part C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.

Blanks 17 through 20 are based on the following.

Winner. Pauline.
Item received: A  17  .
Degree of injuries: Had  18   operations.
Reason for injuries: Rushing into the burning house to collect her  19   brother.
Pauline’s feeling: if she hadn’t gone back in, she would have felt  20  .

Complete the form. Write ONE WORD for each answer.

Blanks 21through 24 are based on the following conversation.

What’s Pearson doing now?
She’s  21  .
What’s Pearson room number?
  22  .
How much should Pearson pay?
She should pay  23  .
How will she pay?
She’ll pay by  24  .

Complete the form. Write NO MORE THAN THREE WORDS for each answer.

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23、(18分)对定义在上,并且同时满足以下两个条件的函数称为函数。

① 对任意的,总有

② 当时,总有成立。

已知函数是定义在上的函数。

(1)试问函数是否为函数?并说明理由;(4分)

(2)若函数函数,求实数的值;(8分)

(3)在(2)的条件下,讨论方程解的个数情况。(6分)

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22、(16分)已知数列中,且点在直线上。

 (1)求数列的通项公式;(4分)

 (2)若函数

求函数的最小值;(6分)

 (3)设表示数列的前项和。试问:是否存在关于的整式,使得

对于一切不小于2的自然数恒成立? 若存在,写出的解析式,并加以证明;若不存在,试说明理由。(6分)

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21、(16分)已知关于的不等式,其中

⑴试求不等式的解集;(10分)

⑵对于不等式的解集,若满足(其中为整数集)。试探究集合能否为有限集?若能,求出使得集合中元素个数最少的的所有取值,并用列举法表示集合;若不能,请说明理由。(6分)

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20、(14分)北京2008年第29届奥运会开幕式上举行升旗仪式,坡度15°的看台上,在同一列上的第一排和最后一排测得旗杆顶部的仰角分别为60°和30°,第一排和最后一排的距离为米(如图所示),旗杆底部与第一排在一个水平面上。若国歌长度约为50秒,问:升旗手应以多大的速度(米/秒)匀速升旗?

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19、(14分)已知集合

,求实数的取值范围。

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18、已知,若为满足的整数, 则

是直角三角形的整数的个数为     (     )

A.2个     B.3个    C.4个    D.7个

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