28. People who have regular physical exercise seldom catch a disease like A (H1N1) flu, ________?
A. do they B. don’t they C. haven’t they D. have they
27. No wonder you caught a cold. You __________ have gone out last night without a coat.
A. shouldn’t B. mustn’t C. couldn’t D. mightn’t
26. Chinese Premier Wen Jiabao ________ at Copenhagen, capital of Denmark , on Dec. 16, 2009 Wednesday evening, for the ongoing UN Climate Change Conference.
A. arrives B. has arrived C. arrived D. is arriving
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. My family and I are animal lovers, so we certainly have no objection __________ raising a pet at home.
A. of B. to C. against D. with
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.
l. A. The Computer Room. B. New York.
C. The Business Center. D. The Service Center.
2. A. Husband and wife. B. Friends.
C. Teacher and student. D. Classmates.
3. A. She worries a lot about her exam.
B. She has difficulty in making a certain decision.
C. There’s something wrong with her eyes.
D. She isn’t sure if she needs to have her eyes examined.
4. A. On a ship. B. In a school. C. In a flat. D. At the airport.
5. A. One. B. Two. C. Three. D. Four.
6. A. Nice books. B. Fairy tales.
C. Adventures. D. Science books.
7. A. The man should get some sleep. B. The man does not work hard enough.
C. The man is wise. D. The man is hard-working.
8. A. Mary is going to Hawaii. B. Mary has traveled all over the world.
C. Mary likes postcards. D. Mary is going on vocation.
9. A. To have a party at home. B. To do some reading in the library.
C. To visit a friend. D. To spend some time outdoors.
10. A. It was interesting. B. It was disappointing.
C. It was exciting. D. It was instructive.
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. 6 hours. B. 9 hours. C. 18 hours. D. 12 hours.
12. A. Asian people usually prefer their trip to be organized.
B. Western people like to have a trip of more freedom.
C. Asian tourists are Sally Yao’s favourites.
D. Asian people are likely to have great pressure on work.
13. A. How to organize tours in some new ways.
B. How to make the demanding tourists settle in.
C. How to communicate with new people.
D. How to find something in common with tourists.
Questions 14 through 16 are based on the following passage.
14. A. He was helped to climb up from the well.
B. The neighbours used a ladder to help him out.
C. He was pulled out of the water by a man.
D. His mother saved him from drowning.
15. A. Children of 7 to 16. B. Children of 6 to 12.
C. Children of 10 to 11. D. Children of 5 to 10.
16. A. 50%. B. 66%. C. 92%. D. 25%.
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 have heard. Write your answers on your answer sheet.
B1anks 17 through 20 are based on the following conversation.
Letter of Application |
|
The purpose of the letter: |
To get a job. |
Advice on the beginning: |
To write about her (17)
____________ first. |
Advice on the second part: |
To supply more information about her work (18) _________. |
Advice on the last part: |
To add some information about her (19) __________. |
Advice on the ending of the letter: |
To use “Very (20) ___________ yours” instead of “Sincerely (yours). |
Complete the form. Write ONE WORD for each answer.
B1anks 21 through 24 are based on the following conversation.
What’s wrong with the woman? |
Have (21)
_________________ pains. |
When does the pain usually occur? |
An hour (22) ______________. |
What is the probable cause of the pain? |
(23)
_______________. |
When should the medicine be taken? |
(24) _______________. |
Complete the form. Write NO MORE THAN THREE WORDS for each answer.
22.(本小题满分15分)已知函数图象上一点处的切线方程为.
(1)求的值;
(2)若方程在内有两个不等实根,求的取值范围(其中为自然对数的底数,);
(3)令,如果图象与轴交于,(),中点为,求证:在处的导数.
21.(本小题满分15分)已知在平面直角坐标系中的一个椭圆,它的中心在原点,左焦点为,且右顶点为。设点的坐标是。
(1)求该椭圆的标准方程;
(2)过原点的直线交椭圆于点,求面积的最大值。
20.(本小题满分14分)如图,四棱锥S-ABCD 的底面是边长为1的正方形,每条侧棱的长都是,P为侧棱SD上的点。
(1)求证:AC⊥SD;
(2)若SD⊥平面PAC,求二面角P-AC-D的大小
(3)在(2)的条件下,侧棱SC上是否存在一点E,得BE∥平面PAC。若存在,求SE:EC的值;若不存在,试说明理由。
19.(本小题满分14分)一袋子中有大小相同的2个红球和3个黑球,从袋子里随机取球取到每个球的可能性是相同的,设取到一个红球得2分,取到一个黑球得1分。
(1)若从袋子里一次随机取出3个球,求得4分的概率;
(2)若从袋子里每次摸出一个球,看清颜色后放回,连续摸2次,求得分的概率分布列及数学期望。
18.(本小题满分14分)如图、是单位圆上的点,是圆与轴正半轴的交点,点的坐标为,三角形为正三角形.
(1)求;
(2)求的值.
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