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吉林省数学高中会考真题精选文档

吉林省数学高中会考真题精选文档
吉林省数学高中会考真题精选文档

吉林省数学高中会考真

题精选文档

TTMS system office room 【TTMS16H-TTMS2A-TTMS8Q8-

2015年吉林省数学高中会考真题

样本数据n x x x ,,,21 的标准差])()()[(122221----++-+-=x x x x x x n

s n ,其中-x 为样本平均数;

柱体体积公式v=sh, 锥体体积公式v=31

sh, s 为底面面积,h 是高。

球体体积公式:S=42R π球体表面积公式334

R V π=,R 是球的半径。

一选择题(1-10,30分,11-15,20分)

1已知集合A={0,1},集合B={1,2,3},则集合A 与集合B 的交集,即A ∩B=(

A ?

B {1}

C {0, 1,2,3}

D {0, 2,3}

2.函数22

)(-=x x f 的定义域为( )

A {2

B {2>x x }

C {2≠x x }

D R

3. 4sin π

=( )

A 22

B 0

C 23

D 21

4.某几何体的三视图如图所示,则该几何体是( )

A 球

B 半球

C 圆柱

D 圆锥

5.若向量a=(1,2),b=(2,4) 则a+b 的坐标是( )

A (-1,-2)

B (1,2)

C (1,6)

D (3,6)

6已知函数=)(x f {1,12<+x x ,则=)2(f ( )

A 1

B 5

C 6

D 9

7下列函数中是偶函数的是( )

A 2)(x x f =

B x x f =)(

C x x f =)(

D 3)(x x f =

8在邓必数列{n a }中,11=a ,公比q =3,则=4a ( )

A 9

B 10

C 27

D 81

A 31

B -3

C 3

1 D 3

10某种储蓄卡的密码有6位数字组成,每个数字可在0到9这10个数字中选取一个,如果一个人忘记了密码的最后一位,则他在自动取款机上,随机试一次密码就能取得钱概率是( )

A

101 B 91 C 1 D 610

1

11某公司现有员工200人,其中普通员工160人,中级管理人员30人,高级管理人员10人,若采用分层抽样的方法,从中抽取20人进行抽样调查,则应抽取普通员工,中级管理人员,高级管理人员各( )人。

A 12,5,3

B 12,3,2

C 16,1,3

D 16,3,1

12执行右面的程序框图,则输出的S=( )

A 4

B 7

C 9

D 16

13函数=)(x f 2ln -+x x 的零点所在的区间是( )

A (0,1)

B (1,2)

C (2,3)

D (3,4)

14已知角α的顶点与平面直角坐标系的原点重合,始边与x 轴的非负半轴重合,终边经过点P (-3,4),则=αcos ( )

A 53-

B 54-

C 53

D 5

4

15若a>1,则11-+

a a 的最小值是( )

A 2

B 3

C 4 D

25

二填空题(每小题4分)

16. 函数)3

sin()(π

-=x x f 的最小正周期是

17随机抽取甲乙两班各10名同学的期中数学考试成绩,获得数学成绩的得分情况的茎叶图,则根据茎叶图可知一模数学平均成绩较高的班级是 .

18如图将正方形ABCD 平均分成面积相等的9个小正方形,若向正方形ABCD 内随机投掷一粒豆子,则该豆子落在阴影部分的概率是

19若变量x,y满足约束条件,x≥-1

y≥ x

3 x +2y≤6,则2x+y的最大值是

20 △ABC的内角A,B,C的对边分别是a,b,c b=1,c=3,C=

3

2π求(1)角B的大小。

(2)△ABC的面积。

21正方体ABCD-A

1B

1

C

1

D

1

中,E,F分别是AB,BC中点,AA

1

=1,

1)证EF//平面AB

1

C

2)求三棱锥B

1

-ABC的体积

等差数列{a

n }中,a1

1

=,a5

3

=

1)求a

9

2)若数列{a

n }前K项和S=

K

121,求K的值。

23若直线l 过点(-1,0),且斜率为2,圆C:)0()3(222>=++r r y x

1)求直线l 的方程

2)直线l 与圆C 相交与A,B 两点,且,2=AB 求圆C 的标准方程。

24已知函数22)(2++=ax x x f

1)当1-=a 时,求函数)(x f 在区间[-3,3]上的最大值和最小值。

2)设函数,1)(-=x x g 当]3,1[-∈x 时,恒有>)(x f )(x g ,求实数a 的取值范围。

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