21. – Have you got any job offers?

　　　 - No. I _______.

　　　 A. waited　　　 　　　　 　　　　　　　 B. had been waiting　　　

　　　 C. have waited　　　 　　　　 　　　 D. am waiting

第二节

听第6段材料，回答6、7题。

6.　　　 What is the man doing?

A.　　 Changing seats on the plane.

B.　　　 Asking for a window seat.

C.　　　 Trying to find his seat.

7.　　　 What is the woman’s seat number?

A. 6A　　 B. 7A　　 C. 8A

听第7段材料，回答第8、9题。

8.　　　 Why doesn’t the woman take the green T-shirt?

A.　　 It’s too small.　　　　　 B. It’s too dark.　　　　　　 C. It’s too expensive.

9.　　　 What does the woman buy in the end?

A.　　 A yellow T-shirt.　　　　　　 B. A blue T-shirt.　　　　　 C. A pink T-shirt.

听第8段材料，回答第10至12题。

10.　 How long has the man been in London?

A.　　 One year.　 B. A few years.　　　　　　 C. A couple of months.

11.　 Why did the woman leave her hometown?

A.　　 To lead a city life.　　　　　 B. To open a restaurant.　　　　 C. To find a job.

12.　 Where did the woman come from?

A.　　 London.　　　　　 B. Arnside.　　　　　　 C. Lancaster.

听第9段材料，回答第13至16题。

13.　 What is a daypack?

A.　　 A box.　　　　　　 B. A bag.　　　　 C. A lock.

14.　 What surprises the girl at school?

A.　　 A lot of discussions in class.

B.　　　 Teachers giving little homework.

C.　　　 Few students asking questions in class.

15.　 At what time of the school term does the conversation most probably take place?

A.　　 At the end of it.　　　 B. In the middle of it.　　　　　 C. At the beginning of it.

16.　 What do we know about the girl?

A.　　 She is new to the school.

B.　　　 She writes for the school newspaper.

C.　　　 She seldom asks questions in class.

听第10 段材料，回答第17至20题。

17.　 What does Mr Henry Stone do?

A.　　 A bank clerk.　　　　　　　　 B. A teacher.　　　　　　　　 C. A writer.

18.　 What does Henry like doing at airports?

A.　　 Watching people.　　　　　　 B. Telling stories.　　　　　 C. Reading magazines.

19. What did Henry learn from the newspaper that day?

　 A. A valuable suitcase was missing.

　 B. A man stole money from a bank.

　 C. A woman ran away from home.

20. Why was the woman at the airport?

　 A. She was traveling on business.

　 B. She was seeing the man off.　 C. She was leaving for Greece.

第一节

1.　　　 What do the speakers need to buy?

A. A fridge　　　 B. A dinner table.　　 C. A few chairs.

2.　　　 Where are the speakers?

A. In a restaurant.　　　　　 B. In a hotel.　　　　 C. In a school.

3.　　　 What does the woman mean?

A.　　 Cathy will be at the party.

B.　　　 Cathy is too busy to come.

C.　　　 Cathy is going to be invited.

4.　　　 Why does the woman plan to go to town?

A.　　 To pay her bills in the bank.

B.　　　 To buy books in a bookstore.

C.　　　 To get some money from the bank.

5.　　　 What is the woman trying to do?

A.　　 Finish some writing.　　　　　　　 B. Print an article.　　　　 C. Find a newspaper.

22．(本小题满分12分)

已知点 (，)都在直线l：y＝2x+2上，P₁为直线l与x轴的交点，数列{}成等差数列，公差为1．(n∈N⁺)．

(Ⅰ)求数列{}，{}的通项公式；

(Ⅱ)若f(n)＝问是否存在k∈N⁺,使得f (k+2011)＝2f(k)－2成立；若存在，求出k的值，若不存在，说明理由．

(Ⅲ)求证：++…+＜(n≥2,n∈ N⁺)

21．(本小题满分12分)

如图所示，F₁、F₂是双曲线x²－y²＝1的两个焦点，O为坐标原点，圆O是以F₁F₂为直径的圆，直线l：y＝kx+b与圆O相切，并与双曲线交于A、B两点．

(Ⅰ)根据条件求出b和k的关系式；

(Ⅱ)当(·)·＝m，且满足2≤m≤4时，求△AOB面积的取值范围．

20．(本小题满分12分)

　　 已知f(x)＝x³+mx²－x+2(m∈R)．

　 (Ⅰ)如果函数f(x)的单调递减区间为(－，1)，求函数f(x)的解析式；

　 (Ⅱ)若f(x)的导函数为(x)，对任意x∈(0，+∞)，不等式(x)≥2xlnx－1恒成立，求实数m的取值范围．

19．(本小题满分12分)

　　 已知圆C：x²+y²－2x+4y－4＝0，是否存在斜率为1的直线l，使得l被圆C截得以弦AB为直径的圆经过原点?若存在，写出直线l的方程，若不存在，说明理由．

18．(本小题满分12分)

　　 在某社区举办的《2008奥运知识有奖问答比赛》中，甲、乙、丙三人同时回答一道有关奥运知识的问题，已知甲回答对这道题的概率是，甲、丙两人都回答错的概率是，乙、丙两人都回答对的概率是．

　 (Ⅰ)求乙、丙两人各自回答对这道题的概率；

　 (Ⅱ)求答对该题的人数ξ的分布列的和Eξ

17．(本小题满分10分)

已知A、B、C是最大边长为2的△ABC的三个内角，m＝(2sin，4sin)，

｜m｜＝

(Ⅰ)求tanA·tanB的值；

(Ⅱ)求tan∠C的最大值．

16．给出下列五个命题：

　　 ①存在α满足sinα+cosα＝；②y＝sin(－2x)是偶函数；③x＝是y＝sin(2x+)的一条对称轴；④y＝是以π为周期的(0，)上的增函数；⑤若α、β是第一象限的角，且α>β，则tanα>tanβ．其中正确命题的题号是________.