A. B. C. D. 查看更多

 

题目列表(包括答案和解析)

touch

[  ]
A.

B.

C.

D.

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rely

[  ]
A.

B.

C.

D.

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loss

[  ]
A.

B.

C.

D.

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agriculrure

[  ]
A.

B.

C.

D.

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B.阅读理解:(30分)
Now we can see a man and his wife at the breakfast table. They are not speaking to each other.
They haven’t spoken to each other at the breakfast table for years. The husband is reading his newspaper. We can’t see his face. The wife looks very worried as she gets a cup of tea ready for him. Today she is using a new kind of tea for the first time. The husband picks up his cup. He isn’t interested. He tastes his tea. Suddenly he puts down his newspaper. Something is different! Can it be the tea? He takes another taste. It’s wonderful. He smiles. He looks at his wife and says in surprise, “Doris, when did you cut your hair?” Doris is pleased. She answers, “Two months ago.” Doris asks, “Herbie, when did your hair begin to become white?” He answers, “A long time ago.” Doris says, “We have been together for many years, but we never cared about each other.” Now they aren’t worried any longer. Breakfast is different. Has a new kind of tea changed their lives?
36. This story happens______________________.
A. before breakfast                     B. after breakfast
C. at home                            D. in a teahouse
37. In the passage, we can see ________________________.
A. Doris is drinking tea                 B. Herbie likes the new kind of tea
C. Doris is reading a newspaper           D. Herbie is very young and good-looking
38. Herbie and Doris lived ______________ before this day.
A. a wonderful                        B. an unhappy
C. an enjoyable                        D. a friendly
39. Which of the following statements is true?
A. They are good friends.                B. They have just got married.
C. They like to talk about their hair.       D. They are no longer young.
40. From the passage, we think it may be ______________.
A. a radio programme                   B.  a short film
C. a computer game                     D.  a beautiful painting

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1.解析:,故选A。

2.解析:抽取回族学生人数是,故选B。

3.解析:由,得,此时,所以,,故选C。

4.解析:∵,∴,∴,故选C。

5.解析:设公差为,由题意得,,解得,故选C。

6.解析:∵双曲线的右焦点到一条渐近线的距离等于焦距的,∴,又∵,∴,∴双曲线的渐近线方程是,故选D.

7.解析:∵为正实数,∴,∴;由均值不等式得恒成立,,故②不恒成立,又因为函数是增函数,∴,故恒成立的不等式是①③④。故选C.

8.解析:∵,∴在区间上恒成立,即在区间上恒成立,∴,故选D。

9.解析:∵

,∴此函数的最小正周期是,故选C。

10.解析:如图,∵正三角形的边长为,∴,∴,又∵,∴,故选D。

11.解析:∵在区间上是增函数且,∴其反函数在区间上是增函数,∴,故选A

12.解析:如图,①当时,圆面被分成2块,涂色方法有20种;②当时,圆面被分成3块,涂色方法有60种;

③当时,圆面被分成4块,涂色方法有120种,所以m的取值范围是,故选A。

13.解析:将代入结果为,∴时,表示直线右侧区域,反之,若表示直线右侧区域,则,∴是充分不必要条件。

学科网(Zxxk.Com)14.解析:∵,∴时,,又时,满足上式,因此,

学科网(Zxxk.Com)15.解析:设正四面体的棱长为,连,取的中点,连,∵的中点,∴,∴或其补角为所成角,∵,∴,∴,又∵,∴,∴所成角的余弦值为

学科网(Zxxk.Com)16.解析:∵,∴,∵点的准线与轴的交点,由向量的加法法则及抛物线的对称性可知,点为抛物线上关于轴对称的两点且做出图形如右图,其中为点到准线的距离,四边形为菱形,∴,∴,∴,∴,∴,∴向量的夹角为

17.(10分)解析:(Ⅰ)由正弦定理得,,…2分

,………4分

(Ⅱ)∵,∴,∴,………………………6分

又∵,∴,∴,………………………8分

。………………………10分

18.解析:(Ⅰ)∵,∴;……………………理3文4分

(Ⅱ)∵三科会考不合格的概率均为,∴学生甲不能拿到高中毕业证的概率;……………………理6文8分

(Ⅲ)∵每科得A,B的概率分别为,∴学生甲被评为三好学生的概率为。……………………12分

19.(12分)解析:(Ⅰ)∵,∴

 ,,……………3分

(Ⅱ)∵,∴

,∴数列自第2项起是公比为的等比数列,………………………6分

,………………………8分

(Ⅲ)∵,∴,………………10分

。………………………12分

20.解析:(Ⅰ)∵,∴,∵底面,∴,∴平面,∴,又∵平面,∴,∴平面,∴。………………………4分

(Ⅱ)∵平面,∴,∴为二面角的平面角,………………………6分

,∴,又∵平面,∴,∴二面角的正切值的大小为。………………………8分

(Ⅲ)过点,交于点,∵平面,∴在平面内的射影,∴与平面所成的角,………………………10分

学科网(Zxxk.Com),∴,又∵,∴与平面所成的角相等,∴与平面所成角的正切值为。………………………12分

解法2:如图建立空间直角坐标系,(Ⅰ)∵,,∴点的坐标分别是,∴,设,∵平面,∴,∴,取,∴,∴。………………………4分

(Ⅱ)设二面角的大小为,∵平面的法向量是,平面的法向量是,∴,∴,∴二面角的正切值的大小为。………………………8分

(Ⅲ)设与平面所成角的大小为,∵平面的法向量是,∴,∴,∴与平面所成角的正切值为。………………………12分

21.解析:(Ⅰ)设抛物线方程为,将代入方程得

所以抛物线方程为。………………………2分

由题意知椭圆的焦点为

设椭圆的方程为

∵过点,∴,解得,

∴椭圆的方程为。………………………5分

(Ⅱ)设的中点为的方程为:

为直径的圆交两点,中点为

,则

  

………………………8分

………………………10分

时,

此时,直线的方程为。………………………12分

22.(12分)解析:(Ⅰ)∵是偶函数,∴

又∵,………………………2分

得,

时,时,时,;∴时,函数