30. _____ unemployment and crime is high, it can be assumed that the latter is due to the former.
A. Before B. Where C. Unless D. Until
29. Early to bed and early to rise _____ a man healthy, wealthy and wise.
A. makes B. make C. has made D. will make
28. She won’t leave the computer game _____ her husband is waiting for his supper.
A. as though B. even though C. whether D. whenever
27. It’s high time you had your hair cut, since it’s getting _____.
A. too much long B. much too long
C. long too much D. too long much
26. The boy’s parents often quarrel about their son, and _____ of them is willing to give in.
A. any B. others C. neither D. none
Section A
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. Though she tried hard to pull the fish _____ her, she was pulled deeper into the water.
A. by B. with C. after D. towards
Section A
Directions: In Section 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 on your paper, and decide which one is the best answer to the question you have heard.
1. A. In a restaurant. B. In a hospital.
C. At a theatre. D. At a railway station.
2. A. Husband and wife. B. Brother and sister.
C. Teacher and student. D. Clerk and customer.
3. A. Sam turned it in. B. He turns in the lock.
C. It was in the lock. D. He got it from Sam.
4. A. Coffee. B. A chocolate milk shake.
C. Tea. D. A vegetable salad.
5. A. She thinks they can’t go to the theatre without the car.
B. She suggests going to the theatre by subway.
C. She believes the man’s brother will let them use the car first.
D. She thinks the theatre is far away from here.
6. A. He hates going to the piano course.
B. He would like to make decisions himself.
C. He is too old to learn the piano.
D. He is already good at playing the piano.
7. A. She is already a teacher.
B. She doesn’t know what she will do after graduation.
C. She has no desire to teach.
D. She likes teaching very much.
8. A. Read a book. B. Write a composition.
C. Talk about a problem. D. Listen to the radio.
9. A. Someone has told him where it is.
B. He doesn’t know, either.
C. He knows where it is but can’t tell the woman.
D. He has asked someone for help.
10. A. She lost her car.
B. She drove here.
C. Something was wrong with her car.
D. She broke the traffic rules.
Section B
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 on 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. There are too many people everywhere.
B. There are always too many cars in Tokyo.
C. The places where he wants to be are always very crowded.
D. The streets in Tokyo are narrow.
12. A. At 11:00 pm. B. At 11:30 pm.
C. At 12:00 pm. D. At 12:30 pm.
13. A. About 3,500. B. About 35,000.
C. About 350,000. D. About 3,500,000.
Questions 14 through 16 are based on the following passage.
14. A. In Anhui province. B. In Shanxi province.
C. In Shandong province. D. In Hubei province.
15. A. When he was building a house.
B. When he was digging a tomb in the fields.
C. When he was digging a channel to place a pipes for tap water.
D. When he was cleaning his yard.
16. A. Three. B. Four. C. Five. D. Six.
Section C
Directions: In Section 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 hear. Write your answers on your answer sheet.
Blanks 17 through 20 are based on the following conversation.
|
Information About the
Woman Speaker |
|
Name: Barbara 17._____ |
|
The date of birth: February 26th,
18. ______ |
|
The trained secretarial courses:
Shorthand, 19. _____ conversation skills and word processor skills. |
|
The telephone number : 20. _____ |
Complete the form. Write ONE WORD for each answer.
Blanks 21 through 24 are based on the following conversation.
|
Aspect |
Information |
|
The
time of the conference: |
The
fifth of 21. _____ |
|
The
duration (持续时间) of the conference: |
22.
_____ |
|
The
paper for Professor Nelson to give: |
On 23.
_____ |
|
The
people to attend the conference: |
24.
_____ from all over the world |
Complete the form. Write NO MORE THAN THREE WORDS for each answer.
22.(本小题满分14分)
已知函数
.
(Ⅰ)求函数
的单调区间;
(Ⅱ)若函数
的图像在点
处的切线的倾斜角为
,问:m在什么范围取值时,对于任意的
,函数
在区间
上总存在极值?
(Ⅲ)当
时,设函数
,若在区间
上至少存在一个
,使得
成立,试求实数p的取值范围。
21.(本小题满分12分)
已知椭圆C:
,倾斜角为
的直线
过椭圆的右焦点且交椭圆于
两点.
(Ⅰ)若椭圆的左顶点为(
),离心率
,求椭圆C的标准方程;
(Ⅱ)设向量
,若点P在椭圆上,求
的取值范围.
20.(本小题满分12分)
如图,四棱锥
的底面为正方形,侧棱
,且
,
分别是线段
的中点。
(I)求证:![]()
(II)求二面角
的大小.
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