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 第一节:多项选择(共10小题;每小题1分,满分10分)

21. Believe it or not, Levy’s sister suddenly   tears when we were eating.

 A. burst out         B. burst into      C. broke into     D. brought out

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第二节(共15题;每小题1. 5分,满分22. 5分)

听下面5段对话或独白,选出最佳选项。

听第6段材料,回答第6至8题。

6. What is the probable relationship between the two speakers?

A. Doctor and patient.          B. Lawyer and client.       C. Receptionist and patient.

7. What is the man’s problem?

A. He has a stomachache.       B. He has chest pains.      C. He has a sore throat.

8. When is the man going to Dr. Black’s office?

A. Right away.               B. In the afternoon.        C. At ten in the morning.

听第7段材料,回答第9至11题。

9. Why does the man want to find a nurse?

A. He likes the nurse to chat with his parents.

B. His mother wants a nice nurse to help her.

C. He needs a nurse to look after his sick father.

10. What can you know about the man?

A. He never thought it’s so difficult to find a nurse.

B. He doesn’t want his mother herself to take care of his father.

C. He cares more about his father than about his mother.

 11. What can be inferred from the conversation?

A. The man’s mother used to be a nurse.

B. The man’s father has been in hospital for a long time.

C. The man has interviewed several nurses.

听第8段材料,回答第12至14题。

12. What may be the man’s purpose according to the conversation?

A. He wants to find a suitable job.

B. He wants to get a girlfriend.

C. He wants to marry the woman.

13. What kind of people might the man prefer?

 A. A serious person.          B. A practical person.          C. A rich person.

 14. What’s the man’s possible favor according to the conversation?

 A. Sightseeing.          B. Running a restaurant.            C. Writing.

 听第9段材料,回答第15至17题。

 15. Why does the woman want to travel after graduation?

 A. To enrich her experience.

 B. To find a good job while traveling.

 C. To see different places described in the books.

 16. How can we adapt to the changing environment according to the woman?\

 A. We should be independent.

 B. We should be willing to change.

 C. We should get to know different people.

 17. What will the woman learn while traveling?

 A. To help people.    B. To believe herself.   C. To value people.

 听第10段材料,回答第18至20题。

 18. How will buyers pay for items they have chosen on the TV?

 A. By making a phone call.

 B. By charging it to a credit card.

 C. By paying for it at the cashier’s.

 19. Why do some people prefer to shop in stores?

 A. It’s taken as a way to relax.

 B. They can shop around the clock.

 C. Goods in store is a bit cheaper.

 20. What can you infer from the text?

 A. Store shopping will be replaced in the future.

 B. Store shopping and home shopping are needed by different people.

 C. Shopping on the Internet is developing rapidly.

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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,选出最佳选项。

1. What does the man think of the woman’s cooking?

A. Excellent.        B. Very bad.       C. Not too bad

2. What’s the relationship between the two speakers?

A. Boss and employee      .    B. Passenger and taxi driver.         C. Customer and waiter.

3. What can you know about the two speakers?

A. They lost their way.         B. Their car broke down. .       C. They were hungry.

4. Where are the speakers going?

A. To the park.               B. To the downtown.          C. To the street.

5. Where are the two speakers?

A. In the street.              B. At the woman’s office.       C. On the bus.

试题详情

21.(本题满分14分)设函数对任意,都有,且.

(1)求证:是奇函数;    

(2)判断在R上的单调性,并证明;

(3)求使成立的x的取值范围.

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20.(本题满分13分)甲乙两地相距km,汽车从甲地匀速驶到乙地,速度不得超过km/h,已知汽车每小时的运输成本(以元为单位)由可变部分和固定部分组成,可变部分与速度km/h的平方成正比,比例系数为b,固定部分为a元.     

(1)把全程运输成本y(元)表示为(km/h)的函数,并指出这个函数的定义域;

(2)为使全程运输成本最小,汽车应以多大速度行驶?

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19.(本题满分12分)已知函数,欲使恒成立,求实数a的取值范围.     

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18.(本题满分12分)设函数x≠0的任意实数,恒有成立.

(1)求函数的解析式;

(2)用函数单调性的定义证明函数上是增函数.     

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17.(本题满分12分)已知集合,;命题,命题,并且命题p是命题q的充分条件,求实数m的取值范围.

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16.(本题满分12分)解不等式

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15.已知函数上的图象如下图所示.给出下列四个命题:

①方程有且仅有6个根;       ②方程有且仅有3个根;

③方程有且仅有5个根;       ④方程有且仅有4个根.

其中正确的命题为     .

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