第二节　 听取信息(共5小题；每小题1分，满分5分)

听下面一段独白，请根据题目要求，从所听到的内容中获取必要的信息，填入答卷标号为16-20的空格中。听录音前，你将有10秒钟的阅题时间。录音读两遍，你将有60秒钟的作答时间。

第一节　 听力理解(5段共15小题；每小题2分, 满分30分)

每段播放两遍。各段后有几个小题, 各段播放前每小题有5秒钟的阅题时间。请根据各段播放内容及其相关小题, 在5秒钟内从题中所给的A、B、C项中, 选出最佳选项, 并在答题卡上将该项涂黑。

听第一段对话，回答第1-3题。

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

A.　 Reporter and interviewee.

B.　 Husband and wife.

C.　 Teacher and student.

2.　 What does Peter usually do at weekends?

A.　 Enjoy an outing.

B.　 Have a rest at home.

C.　 Learn how to play the piano.

3.　 What does the woman mean at last?

A.　 She doesn’t want to go with Smith.

B.　 They will invite Smith to the outing.

C.　 Smith won’t accept their invitation.

听第二段对话，回答第4-6题。

4.　 What’s the symbol of transportation to most Americans?

A. Cars.　 B. Buses.　 C. Driving licenses.

5. What can we know about the woman?

　　 A. She started driving at 16.

　　 B. Her brothers taught her to drive.

　　 C. Her hometown is too poor to have a bus.

6. How many kinds of transportation are mentioned?

　　 A. One.　　 B. Two.　　 C. Three.

听第三段独白，回答第7-9题.

7. Which of the following statements about Shenzhen is CORRECT?

　　 A. It has more than 6,000 design companies.

　　 B. In 2005, its GDP was US$1.9 billion.

　　 C. Bird’s Nest was designed by a Shenzhen designer.

8. What have Shenzhen’s designers achieved?

　　 A. They’ve built many schools of design.

　　 B. They’ve held many competitions.

　　 C. They’ve won many prizes.

9. What happens to foreign designers in Shenzhen?

　　 A. They all have their own workshops.

　　 B. They cooperate with local designers.

　　 C. They are doing better jobs than local designers.

听第四段对话，回答第10-12题.

10. What are the speakers mainly talking about?

　　 A. The responsibilities for the woman’s position.

　　 B. The woman’s arrangement for a day.

　　 C. The relationship between the two speakers.

11. What is the probable position of the woman?

　　 A. President of a factory.

　　 B. Newswoman of a TV station.

　　 C. Manager of a business club.

12. What will the woman probably be doing at 7:10 pm?

　　 A. Having the monthly meeting.

　　 B. Being interviewed for a TV program.

　　 C. Writing the speech for the dinner meeting.

听第五段对话，回答第13-15题.

13. Where does the conversation take place?

　　 A. At a newspaper stand.

　　 B. In a housekeeping center.　　

　　 C. At a hotel.

14. What’s wrong with the air conditioner?

　　 A. It won’t start.　 B. It’s making a noise. C. It doesn’t work at all.

15. Which service is offered?

　　 A. Sending mails to the room.

　　 B. Washing and ironing clothes.

　　 C. Delivering magazines.

7．直线与双曲线的右支交于不同的两点A、B.

　　　 (I)求实数k的取值范围；

　　　 (II)是否存在实数k，使得以线段AB为直径的圆经过双曲线C的右焦点F？若存在，求出k的值；若不存在，说明理由.

6．椭圆的中心是原点O，它的短轴长为，相应于焦点的准线与轴相交于点A，|OF|=2|FA|，过点A的直线与椭圆相交于P、Q两点。

　　　 (I) 求椭圆的方程及离心率；　　　　　　 (II)若求直线PQ的方程；

　　　 (III)设，过点P且平行于准线的直线与椭圆相交于另一点M，证明。

5．若过椭圆右焦点且倾斜角为的直线与椭圆相交所得的弦长等于，则　　　　

4．直线与椭圆交于、两点，则的最大值是　 　 (　　 )

3．过抛物线的焦点作一直线交抛物线于两点，若线段与的长分别是，则等于　　　　　　　　　　　　　　　　　　　 (　　 )

1已知双曲线的焦点为F₁、F₂，点M在双曲线上且则点M到x轴的距离为(　 )

(A)　　　　　　 (B)　　　　　　 (C)　　 (D)

2．过双曲线的右焦点作垂直于实轴的弦，是左焦点，若，则双曲线的离心率是(　　 )