6. He’s watching TV? He’s ______ to be cleaning his room.
A. known B. supposed C. regarded D. considered
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
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
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
2. The English competition we talked about ________in our school last week.
A. being held B. would be held C. was held D. holding
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. / , /
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)若函数在上单调递增,求实数的取值范围;
(2)当时,求函数在上的最大值和最小值;
(3)当时,对任意的正整数,比较与的大小.
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:
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 |
对 |
|
|
对 |
|
|
对 |
|
|
(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。
18、(12分)
已知P:方程在上有解;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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