Section A (16分)

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

25．The new building is to be _____ high．

　　 A．six storeys　　 B．six story 　　 C．six- stories 　 D．six-storyed

Section A：Short Conversations (10 分)

Directions：In this section, you will hear ten short conversations．At the end of each conversation, a question will be asked about what was said．The conversation and the question 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 have heard．

1． A．Bob is cold．　 　　　　　　　　　 B．Bob is unfriendly．

　　 C．Bob will help．　　　　　　　　　 　　　　　　　　　 D．Bob wants money．

2． A．She'd like to move there．　　　 B．She knows someone who lived there．

　　 C．She used to have an apartment there．　　　　　　　 D．She'll visit there soon．

3． A．At Bill's home． 　　　　　　　　 B．At school．

　　 C．At the community library． 　　　 D．At her home．

4． A．Surprising．　 B．Unbelievable． 　　　　　　　　　 C．Normal．　 D．Exciting．

5． A．If he has written the novel． 　 B．When he is going to read the novel．

　　 C．Where he has put the novel．　　 D．If he has finished the novel yet．

6． A．Pleased． 　　 B．Critical． 　　 C．Angry．　　　　 D．Dissatisfied．

7． A．To see her car．　　　　　　　　 　　　　　　　　　 B．To have her car oiled．

　　 C．To wash her car． 　　　　　　　 D．To have her car checked．

8． A．She has to meet someone at the station at 10：30．

　　 B．Her train will arrive at 10：15．

　　 C．She doesn't want to miss her train．

　　 D．She can't drive as fast as the train．

9． A．Jean didn't say anything．

　　 B．Jean was seriously injured in the accident．

　　 C．She doesn't know what Jean said about the accident．

　　 D．She was too frightened to hear anything．

10．A．At McDonald's． 　　　　　　　　 B．For Jackson and Sons．

　　 C．For a construction company．　　 D．At the bank．

Section B：Passages (12 分)

Directions：In Section 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 have heard．

Questions 11 through 13 are based on the following passage．

11．A．My husband is a born shopper．

　　 B．My husband likes to compare prices between the same items in different stores．

　　 C．My husband prefers to buy expensive items．

　　 D．My husband likes to look around in several different stores before buying anything．

12．A．I like to do shopping as my husband does．

　　 B．I regard shopping as boring and unpleasant．

　　 C．I regard shopping as pleasant experience．

　　 D．I don't like to do shopping by myself．

13．A．We go our separate ways．

　　 B．We go shopping together．

　　 C．I pay the money while my husband bargains．

　　 D．My husband pays the money while I bargain．

Questions 14 through 16 are based on the following passage．

14．A．Italy．　　　　 B．Indonesia． 　 C．Japan．　　　　 D．Britain

15．A．Strong winds．

　　 B．Strong waves caused by an earthquake．

　　 C．The eruption of a volcano．

　　 D．The great noise during an earthquake．

16．A．The powerful force inside the earth．

　　 B．The strong waves．

　　 C．The shake of the ground．

　　 D．The fire from a volcano．

Section C：Longer Conversation (8分)

Directions：In Section C, you will hear two longer conversations．The conversation will be read twice．After you hear the conversation, you are required to fill in the numbered blanks with the information you have heard．

Blanks 17 through 20 are based on the following conversation． ______

　　 Complete the form and write ONE WORD for each answer.

　　 Blanks 21 through 24 are based on the following conversation.

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

23．(本题满分18分)第(1)题4分，第(2)题5分，第(3)题9分。

　　　　 对于定义域为D的函数同时满足条件：(1)常数a，b满足，区间[a，b]，(2)使在[a，b]上的值域为，那么我们把叫做[a，b]上的“k级矩形”函数。

　 (1)设函数是[a，b]上的“1级矩形”函数，求常数a，b的值；

　 (2)是否存在常数a，b与正数k，使函数在区间[a，b]上的是“k级矩形”函数？若存在，求出a，b及k的值，若不存，说明理由。

　 (3)设是[a，b]上“3级矩形”函数，求出常数a，b的值。

22．(本题满分18分)第(1)题4分，第(2)题6分，第(3)题8分。

　　　　 设函数，其中a为常数且，令函数的积函数。

　 (1)求函数的表达式，并求其定义域。

　 (2)当时，求函数的值域。

　 (3)是否存在自然数a，使得函数的值域恰为？若存在，试写出所有满足条件的自然数a所构成的集合；若不存在，试说明理由。

21．(本小题满分16分)第(1)题8分，第(2)题8分。

　　 已知函数

　 (1)求的最大值和最小值；

　 (2)若不等式上恒成立，求实数m的取值范围。

20．(本小题满分14分)第(1)小题8分，第(2)小题6分。

　　　　 为了保护一种珍贵文物，博物馆需要在一种无色玻璃的密封保护罩内充入保护气体。假设博物馆需要支付的总费用由两部分组成：①罩内该种气体的体积比保护罩的容积少0.5立方米，且每立方米气体费用为1千元；②需支付一定的保险费用，且支付的保险费用与保护罩容积成反比，当容积为2立方米时，支付的保险费用为8千元。

　 (1)求博物馆支付总费用y与保护罩容积V之间的函数关系式；

　 (2)求博物馆支付总费用的最小值。

19．(本小题满分12分)

解不等式：

18．已知函数，构造函数F(x)，定义如下：当 时，　　　　 　　　　　　　　　　　　 (　　 )

　　　 A．有最大值3，最小值-1　　　　　　　　　　　　 B．有最大值3，无最小值

　　　 C．有最大值，无最小值　　　　　　 D．无最大值，也无最小值

17．若在区间[1，2]上都是减函数，则a的取值范围是

　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　 (　　 )

　　　 A．(-1，0)　　　　　　　　　　　　　　　　　　　　　　 B．(-1，1)　　　　　　

　　　 C．　　　　　　　　　　　　　　　　　　 D．

16．函数是奇函数，当时，时，的表达式(　　 )

　　　 A．　　　　　　　　　　　　　　　　　　　　 B．　　　

　　　 C．　　　　　　　　　　　　　　　　　　　 D．