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，填入答题卡标号为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80秒钟的作答时间。

A　 Tour of London

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。

听第一段对话材料，回答第1-3题。

1.　　　 What’s the woman?

A. A traveler.　　　　　　　 　　 B. A reporter.　　　　　　　　　　 C. A governor.

2.　　　 How does the man feel about the state of the forest?

A. Nervous.　　　　　　　　 　　 B. Angry.　　　　　　　　　　　　　 C. Worried.

3.　　　 What does the man want from the government?

A. Help and advice.　　　　 　　 B. Enough money.　　　　　 C. Volunteers.

听第二段材料，回答第4-6题。

4.　　　 What’s the probable relationship between the speakers?

A.　　　 Policeman and driver.　 B. Teacher and student.　 C. Instructor and would-be driver.

5.　　　 Which of the following doesn’t belong to the road rules?

A.　　　 Don’t keep a long distance from the car ahead of you.

B.　　　 The car on the left goes after the one on the right.

C.　　 The driver has to pay attention to the speed.

6.　　　 What can we learn from the conversation?

A.　　　 The woman has to read the manual carefully.

B.　　　 The driver was fined for his breaking the rule.

C.　　 The speed limit in school zone is 35 miles per hour.

听第三段材料，回答第7-9题。

7.　　　 What will the girl do in winter holidays?

A.　　　 She will go and visit the Aswan Dam.

B.　　　 She will have to stay at home to study English.

C.　　 She will go to an African country.

8.　　　 What do you suppose the boy’s sister is?

A.　　　 She is a passenger on the plane.　　 B. She is a traveler, too.　　 C. She may be a steward.

9.　　　 What do you think of the girl’s feeling?

A.　　　 She may be hurt by the boy’s pride.

B.　　　 She may be feeling sorry for her failure in the exam.

C.　　 She may be uninterested in the boy’s travel plan.

听第四段材料，回答第10-12题。

10.　 How did Mrs. Smith feel when she saw Mr. White?

A. Excited.　　　　　 　　 B. Surprised.　　　　　　 　　　 C. Sad.

11.　 How does Mrs. Smith feel about traveling by air?

A.　　　 She doesn’t enjoy flying much.

B.　　　 She thinks flight is often delayed because of the weather.

C.　　 She likes it.

12.　 What does Mr. White go to the airport for?

A.　　　 To catch the flight.　　　 B. To see Mrs. Smith off.　　　 C. To book a flight ticket.

听第五段材料，回答第13-15题。

13.　 What does the speaker mainly discuss?

A.　　　 The growth of the publishing industry.

B.　　　 The history of papermaking.

C.　　 The use of paper in the 19^th century.

14.　 Why did the paper industry need a new source of fiber in the early 1800’s?

A.　　　 Publishers wanted higher quality paper.

B.　　　 Paper made from rags deteriorated(变质、恶化) too quickly.

C.　　 The supply of rags was insufficient(不充足的).

15.　 According the speaker, what problem do libraries face?

A.　　　 Many of their books are in poor condition.

B.　　　 They have to import most of the paper they use.

C.　　 They don’t have enough space to store government documents.

21．(12分)已知定义在上的函数有．

　 (1)求函数的解析式；

　 (2)设函数，直线()分别与函数 交于两点()．设，为数列的前n项和．

①求，并证明；

②求证：当时，．

20．(12分)定义在R上的函数满足：对任意实数，总有，

且当时，．

(1)试求的值；

(2)判断的单调性并证明你的结论；

(3)若不等式对恒成立，求实数的取值范围．

.

19．(12分)某公司是专门生产健身产品的企业，第一批产品上市销售40天内全部售完，该公司对第一批产品上市后的市场销售进行调研，结果如图(1)、(2)所示。其中(1)的抛物线表示的是市场的日销售量与上市时间的关系；(2)的折线表示的是每件产品的销售利润与上市时间的关系。

(1)写出市场的日销售量与第一批产品上市时间的关系式；

(2)第一批产品上市后的第几天，这家公司日销售利润最大，最大利润是多少？

18．(13分)已知奇函数的反函数的图象过点．

(1)求实数的值；

(2)解关于的不等式．