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题目列表(包括答案和解析)

第II卷(非选择题 共55分)

第三部分:写作(共三节,满分55分)

单词拼写(共10小题;每小题1分,满分10分)

根据下列句子及所给汉语注释, 在句子右边的横线上写出空缺处各单词的正确形式. (每空只写一词)

66. Excuse me,where is the_________(入口处)to the cinema ?

67. Sorry to _________ (打断) you, but your mother is waiting for you outside.

68. The leaves of certain trees are ___________(有毒的) to cattle.

69. They ______ (广告) that they had a used car for sale.

70.The ___________ (家具)in your room looks new at the first sight.

71. It was a relief that the patient was ________(稍微)better.

72. We made a __________(航海) across the Pacific by ship.

73. As is known, 90% of the engines in our country are ________(出口) to Europe.

74.In family life,love is the music that brings__________(和谐). 

75. Bricks, sand, glass and so on are building  ____________ (材料).

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第II卷(非选择题, 共40分)

第四部分:写作(共三节,满分40分)

第一节:单词填空

81.As we all know, “Failure is the mother of s___________.”.

82.Nigeria gained its i______________ from Britain in 1960.

83.Tom and Jack said they would come, but they didn’t keep their w__________.

84.Though he did something wrong, she finally f____________ him.

85.We should a_________ great importance to education which later will shape our life.

86.We only had a b__________ talk because time is very limited.

87.Fewer people were e__________ in that company because of the latest economic crisis(危机).

88.Much to his r_________, his wife was saved.

89.The distant country is so p________ that I don’t want to go back to the noisy city.

90.He is very famous and his name is f_________ to every family.

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第II卷 (非选择题 共40分)?

第三部分:写作(共三节,满分40分)?

第一节 根据对话填单词(每空限写一词)(共10小题,每小题1分,满分10分)

W: Officer, officer, I have something i 81 to report I have just had my money s 82 

M: Before you begin, why not take a seat and calm down a little? Don’t be too e 83 It won’t help us catch the thief.

W: Yes, you’re completely right. Where should I start?

M: From the beginning. When did it take p 84

W: About ten m 85 ago.

M: And where exactly was this?

W: It was probably on the moving stair coming up from the underground at Xidan. I think somebody had been f 86 me from the time I left the bank.

M: The bank?

W: Well, you see. I went to a bank to e 87 some traveller’s cheques for money, so I can buy my airline t 88 back home. I’m only here o 89 a visit, you see.

M: Yes, yes. How much did you exchange?

W: About 4,500 dollars worth

M: And how m 90 was stolen?

W: All of it..

M: I see.

81        

82        

83        

84        

85        

86        

87        

88        

89        

90        

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选择题: CABDA   BBADA   BB

4、原式

由条件可求得:    原式   故选D

5、由题得,则是公比为的等比数列,则,故选答案

6、由已知可得,直线的方程

直线过两个整点,(),即,故应选B

7、令,则,其值域为.由

对数函数的单调性可知:,且的最小值

故选答案

8、共有个四位数,其中个位数字是1,且恰好有两个相同数字的四位数分为两类:一类:“1”重复,有个;另一类;其他三个数字之一重复,有种。所以答案为:A

9、由题意可知满足的轨迹是双曲线的右支,根据“单曲线型直线”的定义可知,就是求哪条直线与双曲线的右支有交点,故选D

10、选。可以证明D点和AB的中点E到P点和C点的距离相等,所以排除B和C选项。满足的点在PC的中垂面上,PC的中垂面与ABCD的交线是直线,从而选A。

11、解:以的平分线所在直线为轴,建立坐标系,设,则

所以

,故当且仅当,即为正三角形时,  故选B

12、

的最小值为,故选答案

二、填空题

13、

14、利用正弦定理可将已知等式变为

,  

时,有最大值

15、

16、。画图分析得在二面角内的那一部分的体积是球的体积的,所以

三、解答题:

17、解:

(1)由

上是增函数,

可额可得

18、(1)如图建立空间直角坐标系,则

分别为的重心,

,即

(2)(i)平面

,平面的法向量为

平面的法向量为

,即二面角的大小为

(ii)设平面的法向量

,由解得

到平面的距离为

18、解:(I)抽取的球的标号可能为1,2,3,4

分别为0,1,2,3:分别为

因此的所有取值为0,1,2,3,4,5

时,可取最大值5,此时

(Ⅱ)当时,的所有取值为(1,2),此时

时,的所有取值为(1,1),(1,3),(2,2),此时

时,的所有取值为(1,4),(2,1),(2,3),(3,2)此时

时,的所有取值为(2,4),(3,1),(3,3),(4,2)此时

时,的所有取值为(3,4),(4,1),(4,3),此时

的分布列为:

0

1

2

3

4

5

20解:(1)

   故

(Ⅱ)由(I)知

。当时,

时,

(Ⅲ)

①-②得

 

21、(I)解:依题设得椭圆的方程为

直线的方程分别为

如图,设其中

满足方程

上知

所以,化简得

解得

(Ⅱ)解法一:根据点到直线的距离公式和①式知,点的距离分别为

,所以四边形的面积为

即当时,上式取等号,所以的最大值为2

解法二:由题设,

由①得

故四边形的面积为+=

时,上式取等号,所以的最大值为

22、解:(I)由题设可得

函数上是增函数,

时,不等式恒成立。

时,的最大值为1,则实数的取值范围是

(Ⅱ)当时,

时,,于是上单调递减;

时,,于是上单调递增。

综上所述,当时,函数上的最小值为,当时,

函数上的最大值为

(Ⅲ)当时,由(Ⅰ)知上是增函数

对于任意的正整数,有,则

成立,

 


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