27. If you don’t go, _____.

　 A. So do I　　　 B. So will I　　　　 C. nor do I　　　 D. nor will I

26. Though he is ill, he has not quit _____.

　 A. smoke　　 B. to smoke　　 C. smoked　　 D. smoking

25. I’ve won a holiday for two days to Florida. I _____ my mum.

　 A. am taking　　 B. have taken　　　　 C. take　　　 D. will have taken

24. Their plan was ____. With it we had little trouble in finishing the work.

　 A. success　　　　 B. succeed　　　 C. a success　　　 D. a successful

23. When we heard the gun fire, we all stood still and shook with _______.

　 A. fear　　　　 B. a fear　　　 C. fears　　　　 D. the fear

21.　 The room ______ white last year is my study.

A. to be painted　　 B. being painted　 C. painted　　 D. having been painted

第一节：单选(共15小题)

20.　 ---_______ leave at the end of this month.

--- I don’t think you should do that until ____ another job.

A. I’m going to; you’d found 　　　B. I’m going to; you’ve found　　

C. I’ll; you’ll find　　　　　　　　 D. I’ll; you’d find

第二节　　 听下面5段对话或独白, 从题中所给的A、B、C三个选项中选出最佳选项。每段对话或独白读两遍。

听第6段材料，回答第6至8题。

6.　　 Where did this dialogue happen?

A. At the station.　　 B. In the hospital.　　　 C. In the shop.

7.　　 What is the woman going to buy？

A. Bag.　　　　 B. Shoes.　　　　 C. Trousers.

8.　 What color does her daughter like?

　 A. White　　　　 B. Blue.　　　 C. Red.

听第7段材料，回答第9至11题。

9.　　 Why did Jack call Mary?

A. To offer his help with her new flat.　　　 B. To invite her out for an evening.　　　

C. To ask if she’s got the tickets.

10. What will Mary be doing next Saturday afternoon?

　 A. Cleaning up the new flat.　　 B. Watching a tennis match.　　 C. Visiting a friend with Jane.

11. What has Mary agreed to do with Jack next Saturday/

　 A. To buy concert tickets.　　　 B. To see a play.　　　　 C. To attend a concert.

听第8段材料，回答第12至14题。

12.　 Where does this conversation take place?

A. In a hotel.　　　 B. In a hospital.　　 C. In a shopping centre.

13.　 On which floor is the Exhibition Centre?

A. The ninth floor.　　　　　 B. The third floor.　　　　　 C. The second floor.

14.　 Why does the man come to Hong Kong?

A.　　　　 He is on holiday.　 B. He comes for the computer exhibition.　

C.　 He comes to meet Peter Smith from Greece.

听第9段材料，回答第15至16题。

15.　 Where does the woman learn Chinese?

A.　　　　 In England.　　　　 B. In France.　　　　　　 C. In China.

16.　 How is the woman’s French?

A. She can just speak a little.　 B. She speaks it very well.　

C. She learned it in Peking University.

听第10段材料，回答第17至20题。

17.　 Why did the guard call loudly?

A. He wanted people to be careful.　　

B. He wanted people to know the train was leaving.

C. He wanted people to know the train was coming.

18.　 Why was Dr. Wang sad?

A.　　　　 He couldn’t see his friends again.　　

B.　　　　 B. His friends didn’t say goodbye to him.　

C.　 He should be on the train, not his friends.

19.　 Why did the guard tell Dr. Wang not to feel sad?

A. He thought Dr. Wang’s friends would come soon.

B. He didn’t think Dr. Wang’s friends would get lost.　

C. He knew the next train would come soon.

20. Which one is correct?

　 A. Mr Li and Mr Chen jumped onto the train without thinking.

　 B. Mr Li and Mr Chen went home by train.

　C. Dr. Wang came to say goodbye to Mr Li and Mr Chen.

第一节　　 听下面5段对话, 从题中所给的A、B、C三个选项中选出最佳选项。每段对话仅读一遍。

1.　　 What does the woman mean?

A. He has dialed the wrong number.　 B. John Smith is not in.　 C. Nobody is called John Smith.

2.　　 Why isn’t the man going to work?

A. He is sick.　　　　 B. His boss has fired him.　　　　 C. He wants to play tennis.

3.　　 What will the man have?

A. Bread. 　　　　　　　B. Milk.　　　　 　　　C. Eggs.

4.　　 Where does this conversation probably take place?

A. In an office.　　　　 B. In a street.　　　 C. In a shop.

5.　　 What’s the man’s job?

A. He is a lawyer.　　　 B. He is a shop assistant.　　　 C. He works for lawyers.

19．解析：设球的内接圆柱的底半径为，则其高为，所以圆柱的体积是，

(2)由(1)中的分析可以猜想。下面用数学归纳法证明：

①当n=1时，公式显然成立。②假设当时成立，即，那么由已知，得，

即　　 所以

即，又归纳假设，得：

所以，即当时，公式也成立

由①，②，对一切，都有成立。

因为函数存在单调递减区间，所以有解，即，又因为，

则的解。①当时，为开口向上的抛物线，的解；②当时，为开口向下的抛物线，的解，所以，且方程至少有一个正根，所以。综上可知，得取值范围是。

(2)时，，，

令，则，所以

	+	0	－
		极大值

列表：

所以当时，取的最大值

又当时，

所以的取值范围是。