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題目列表(包括答案和解析)

第II卷(非選擇題 共55分)

第三部分:寫作(共三節(jié),滿分55分)

單詞拼寫(共10小題;每小題1分,滿分10分)

根據(jù)下列句子及所給漢語注釋, 在句子右邊的橫線上寫出空缺處各單詞的正確形式. (每空只寫一詞)

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

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

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

69. They ______ (廣告) 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__________(和諧). 

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

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第II卷(非選擇題, 共40分)

第四部分:寫作(共三節(jié),滿分40分)

第一節(jié):單詞填空

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(危機).

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 (非選擇題 共40分)?

第三部分:寫作(共三節(jié),滿分40分)?

第一節(jié) 根據(jù)對話填單詞(每空限寫一詞)(共10小題,每小題1分,滿分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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選擇題: CABDA   BBADA   BB

4、原式

由條件可求得:    原式   故選D

5、由題得,則是公比為的等比數(shù)列,則,故選答案

6、由已知可得,直線的方程,

直線過兩個整點,(),即,故應選B

7、令,則,其值域為.由

對數(shù)函數(shù)的單調(diào)性可知:,且的最小值,

故選答案。

8、共有個四位數(shù),其中個位數(shù)字是1,且恰好有兩個相同數(shù)字的四位數(shù)分為兩類:一類:“1”重復,有個;另一類;其他三個數(shù)字之一重復,有種。所以答案為:A

9、由題意可知滿足的軌跡是雙曲線的右支,根據(jù)“單曲線型直線”的定義可知,就是求哪條直線與雙曲線的右支有交點,故選D

10、選?梢宰C明D點和AB的中點E到P點和C點的距離相等,所以排除B和C選項。滿足的點在PC的中垂面上,PC的中垂面與ABCD的交線是直線,從而選A。

11、解:以的平分線所在直線為軸,建立坐標系,設(shè),則、、

所以

,故當且僅當,即為正三角形時,  故選B

12、,

的最小值為,故選答案

二、填空題

13、

14、利用正弦定理可將已知等式變?yōu)?sub>,

,  

時,有最大值

15、。

16、。畫圖分析得在二面角內(nèi)的那一部分的體積是球的體積的,所以。

三、解答題:

17、解:

(1)由

上是增函數(shù),

可額可得

18、(1)如圖建立空間直角坐標系,則

設(shè)

分別為的重心,,

,即

(2)(i)平面,

,平面的法向量為,

平面的法向量為

,即二面角的大小為

(ii)設(shè)平面的法向量,

,由解得

,到平面的距離為

18、解:(I)抽取的球的標號可能為1,2,3,4

分別為0,1,2,3:分別為

因此的所有取值為0,1,2,3,4,5

時,可取最大值5,此時

(Ⅱ)當時,的所有取值為(1,2),此時

時,的所有取值為(1,1),(1,3),(2,2),此時

時,的所有取值為(1,4),(2,1),(2,3),(3,2)此時

時,的所有取值為(2,4),(3,1),(3,3),(4,2)此時

時,的所有取值為(3,4),(4,1),(4,3),此時

的分布列為:

0

1

2

3

4

5

。

20解:(1)

   故。

(Ⅱ)由(I)知

。當時,;

時,

(Ⅲ),

①-②得

。

  。

21、(I)解:依題設(shè)得橢圓的方程為,

直線的方程分別為

如圖,設(shè)其中

滿足方程

上知。

所以,化簡得,

解得。

(Ⅱ)解法一:根據(jù)點到直線的距離公式和①式知,點,的距離分別為

,

,所以四邊形的面積為

,

即當時,上式取等號,所以的最大值為2。

解法二:由題設(shè),,

設(shè)由①得,

故四邊形的面積為+=

時,上式取等號,所以的最大值為

22、解:(I)由題設(shè)可得

函數(shù)上是增函數(shù),

時,不等式恒成立。

時,的最大值為1,則實數(shù)的取值范圍是

(Ⅱ)當時,

時,,于是上單調(diào)遞減;

時,,于是上單調(diào)遞增。

綜上所述,當時,函數(shù)上的最小值為,當時,

函數(shù)上的最大值為

(Ⅲ)當時,由(Ⅰ)知上是增函數(shù)

對于任意的正整數(shù),有,則

,。

。

成立,

 


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