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).
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.
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 |
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:,且的最小值而,
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:“
9、由題意可知滿足的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),則則、、,
所以
,故當且僅當,即為正三角形時, 故選B
12、則,
,
故則的最小值為,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>即,
,
當時,有最大值
15、。
16、。畫圖分析得球在二面角內(nèi)的那一部分的體積是球的體積的,所以。
三、解答題:
17、解:
(1)由得或
在上是增函數(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
故,即二面角的大小為
(ii)設(shè)平面的法向量,
,由解得
又,點到平面的距離為
18、解:(I)抽取的球的標號可能為1,2,3,4
則分別為0,1,2,3:分別為
因此的所有取值為0,1,2,3,4,5
當時,可取最大值5,此時
(Ⅱ)當時,的所有取值為(1,2),此時;
當時,的所有取值為(1,1),(1,3),(2,2),此時
當時,的所有取值為(1,4),(2,1),(2,3),(3,2)此時
當時,的所有取值為(2,4),(3,1),(3,3),(4,2)此時
當時,的所有取值為(3,4),(4,1),(4,3),此時
故的分布列為:
0
1
2
3
4
5
。
20解:(1)
故。
(Ⅱ)由(I)知
令則。當時,;
當時,
(Ⅲ),
①-②得
令則
。
則。
而 。
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,
且滿足方程故①
由知得
由在上知得。
所以,化簡得,
解得或。
(Ⅱ)解法一:根據(jù)點到直線的距離公式和①式知,點,到的距離分別為
,
又,所以四邊形的面積為
,
當即當時,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+=
當時,上式取等號,所以的最大值為
22、解:(I)由題設(shè)可得
函數(shù)在上是增函數(shù),
當時,不等式即恒成立。
當時,的最大值為1,則實數(shù)的取值范圍是;
(Ⅱ)當時,
當時,,于是 在上單調(diào)遞減;
當時,,于是在上單調(diào)遞增。
又
綜上所述,當時,函數(shù)在上的最小值為,當時,
函數(shù)在上的最大值為
(Ⅲ)當時,由(Ⅰ)知在上是增函數(shù)
對于任意的正整數(shù),有,則
即,。
。
而則成立,
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