(word完整版)职高数学基础模块测试题.docx

(word完整版)职高数学基础模块测试题.docx
(word完整版)职高数学基础模块测试题.docx

步步高培训学校数学综合检测

一、选择题

1.下列各结论中,正确的是 ( )

A . 0 是空集

B . x x 2

x 2

0 是空集

C.

1,2 与 2,1 是不同的集合 D .方程

x 2 4x

4 0 的解集是 2,2

2.集合 p x x

4 ,则(

A .

p

B .

p

C .p

D .

p

3.设 A

x 2

x 2 , B x x

1 ,则 AUB

(

)

A . x 1 x 2

B . x x 2 或 x 2

C . x x

2

D . x x 2 或 x 2 4.如果 M

x || x | 2} , N { x | x 3} ,则 A I B (

)

A . x 2 x 2

B . x 2 x 3

C . x 2 x 3

D . x x 3

5.设为 x, y 实数,则 x 2 y 2 的充要条件是 (

)

A . x y

B . x

y

C

. x 3

y 3

D

. | x | | y |

6. 不等式组

x

3

2 的解集为( )

x 2

A. x x

3 B.

x x

2

C.

x 2 x

3 D.

2

2

7. 不等式 x 2 4x 21 0 的解集为(

A.

, 7 3,

B.

7,3

C.

, 3

7,

D.

3, 7

8. 不等式

3x 2

1 的解集为(

A.

,

1

1,

B.

1

,1 C.

,

1

1,

D.

1

,1

3

3

3

3

9.下列函数中,为指数函数的是

1

A. y3B. y x 3C. y2xD. y log x x

10.指数函数y3x的图像的图像不经过的点是

A. (1,3)B. ( 2,9)C. (1

,3)D. (0,1) 2

11.下列运算中,正确的是

34

2B.34

2

A.2222 4343

34

33 3

C. 242D. 2 4240

12.已知a 0且

a1,下列式子中,错误的是

A.3 a2

3

B. a 21 a 2

a2

3

11

C. a 5D. a x y

5

a3 a y x

13.已知y a x,a o 且 a 1 的图像过定点P,点P的坐标可能是

A .0,1B. 0,1C.1,1D. 0,0

14.下列各函数中,为指函数的是

3

2x

A. y x2B. y log 3 xC. yD. y x

15.y是以a为底的x的对数;记做

A. y log 2 xB. x log a yC. x log y aD. y log x a 16.设x0, x o, 下列各式中正确的是

A. Ln x y Lnx LnyB.Ln xy LnxLny

C. Ln xy Lnx LnyD.Ln x Lnx y Lny

17. sin(12300 ) 的值是()

A.1

B.

333 2

C.

2

D.

22

2

18. 下列命题中正确的是()

A. 第一象限的角都是锐角

B. 1 sin 2 1400cos1400

C. 若tan1,则

D.sin cos 2.5不可能成立

4

二、填空题

1.已知全集A{1,2,3,4,5},则 A{1,2,3},则 CuA =.2.已知集合M{ a,0}, N{1,2}, M I N{1}, 则a=.

3.当 x时,代数式32x x 2有意义

4.不等式组

x1的解集为

x42

5.不等式 1x2x 0 的解集为

6.指数式(2

)327,写成对数式为3

1

8

7.对数式log3,写出指数式

3 27

8.已知 0x2,那么 y sin x和

y cos都是增函数的区间是

三、解答题

⑴2x13

( 2)x2x 5 0( 3)2x23x 2 0 3x27

(4)x 5 2(4)3x 4 12

2

( 6)(3 )3

( 5)x39x

4

3

7.求函数y lg x 1 的定义域。

8. 2 sin 22250cos3300tan 4050

9. 已知sin7,且3

,2 ,求 cos , tan 。

252 10.已知tan 3 ,求 sin ,cos .

11.化简:sin

cos cos2

tan cos3

4

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