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6. He’s watching TV? He’s ______ to be cleaning his room.

    A. known       B. supposed         C. regarded         D. considered

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5. Li Yang, the founder of Crazy English, says that he copies it down ______he comes to a beautiful sentence.  

    A. unless        B. while            C. because          D. every time

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4. ---What did your sister want to know, Mary?  

  ---_______that I could finish reading the story.

    A. It was                         B. Where was it

    C. It was when                     D. When it was

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3. It would be a good idea to use a plastic bottle, ___cut off, as a container to grow young plants in. 

A. of which the top                 B. the top is   

C. the top of which            D. with its top

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2. The English competition we talked about ________in our school last week.

A. being held   B. would be held   C. was held         D. holding

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第一节   语法和词汇知识(共20小题;每小题1分,满分20分)

从A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。

1. In order to build up a harmonious society, we should think of ______old and ______sick.

  A.  a, a         B. an, a            C.  the, the         D. / , /               

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21、(12分)已知数列的前项和为对一切正整数满足

(1)求数列的通项公式;  

(2)若存在实数,使得成等差数列,记数列的前项和为,求证:

(3)对于(2)中的,设,数列的前项和为,求证.  

(22)(14分)已知函数

(1)若函数上单调递增,求实数的取值范围;

(2)当时,求函数上的最大值和最小值;

(3)当时,对任意的正整数,比较的大小.

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20、(12分)(文)已知关于的不等式.

(1)当时,解此不等式;

(2)当为何值时。此不等式的解集为R。

解关于的不等式:

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19、(12分)在2008年北京奥运会某项目的选拔比赛中,A、B两个代表队进行对抗赛,每对三名队员。A队队员是,B队队员是。按以往多次比赛统计,对阵队员之间胜负概率如下表,现按表中对阵方式出场进行三场比赛,每场胜队得1分,负队得0分。

对阵队员
A对胜
B队胜









(1)A队得分为2分的概率;

(2)求A队得分的分布列和数学期望。  

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18、(12分)

已知P:方程上有解;Q:对任意的恒成立。如果P与Q中有且只有一个是正确的,求实数的取值范围。

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