集合高考试题汇编.doc

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《集合高考试题汇编》

1.已知{(,)|20},{(,)|0}A x y ax y B x y x y b =++>=-+<,M 点的坐标为(1,1),若 ,M A M B ∈∉且,,a b 则应满足

A.30a b >->且

B.30a b >-<且

C.30a b >-≤且

D.30a b >-≥且

【参考答案】D.

2.已知集合,{|21},{|x U R M x N y y ==>==则

A.M N N =

B.M

N N = C.()U M N R = D.()

{0}U M N =【参考答案】D. 3.设全集U 是实数集R ,={|20},M x x -≥{|3},N x x =<则()

U M N = A.{|23}x x ≤< B.{|2}x x < C.{|2}x x ≤ D.{|3}x x ≥

【参考答案】B.

4.设集合{|11},{|02}A x x B x x =-<<=<<,则A B =

A.(0,1)

B.(1,2)-

C.(1,2)

D.(1,0)-

【参考答案】B.

5.已知集合{1,2,3},{2,3,4},M N ==则

A.M N ⊆

B.N M ⊆

C.{2,3}M N =

D.{1,4}M N =

【参考答案】C.

6.设集合2{1,0,1},{|},M N x x x =-=≤则M N =

A.{0}

B.{0,1}

C.{1,1}-

D.{1,0,1}-

【参考答案】B.

7.已知集合{|123},{|24},A x x x B x x =<-≤<=-≤<或则_________.A B =

【参考答案】(,4)-∞

8.若集合{|2},{|}A x x B x x a =≤=≥满足{2},A B =则实数_____.a =

【参考答案】2

9.已知集合{|1},{|},A x x B x x a =≤=≥且,A B R =则实数a 的取值范围是_________.

【参考答案】(,2]-∞

10.若集合{|1},{|02},A x x B x x =>=<<则_______.A B =

【参考答案】(1,2)

11.已知集合1{|2},{|0},1

A x x

B x x =<=>+则_______.A B = 【参考答案】(1,2)-

12.若全集,U R =集合{|1}{|0},A x x x x =≥≤则_____.U A =

【参考答案】(0,1)

13.若集合2{|1},{|4},A x x B x x =≥=≤则_______.A B =

【参考答案】[1,2]

14.若集合{|210},{|12},A x x B x x =+>=-<则_______.A B = 【参考答案】1(,3)2

-

15.若集合{1,2,},{2,5}.A k B ==若{1,2,3,5}A B =,则____.k =

【参考答案】3

16.已知集合3{|

0},{|3},1

x M x N x x x +=<=≤--则集合{|1}x x ≥= A.M N B.M N C.()R C M N D.()R C M N

【参考答案】D.

17.已知集合{|35},{|55},M x x N x x =-<≤=-<<则M N =

A.{|55}x x -<<

B.{|35}x x -<<

C.{|55}x x -<≤

D.{|35}x x -<≤

【参考答案】B.

18.已知,A B 均为集合{1,3,5,7,9}U =的子集,且{3},(){9},U A B B A ==则A =

A.{1,3}

B.{3,7,9}

C.{3,5,9}

D.{3,9}

【参考答案】D.

19.已知,M N 为集合I 的非空真子集,且,M N 不相等,若,I N M =∅则M

N = A.M B.N C.I D.∅

【参考答案】A.

20.已知全集{0,1,2,3,4,5,6,7,8,9}U =,集合{0,1,3,5,8}A =,集合{2,4,5,6,8}B =,则 ()()U U A B =

A.{5,8}

B.{7,9}

C.{0,1,3}

D.{2,4,6}

【参考答案】B.

21.已知集合4{|0log 1},{|2},A x x B x x =<<=≤则A B =

A.(0,1)

B.(0,2]

C.(1,2)

D.(1,2]

【参考答案】D.

22.已知全集,U R ={|0},{|1},A x x B x x =≤=≥则()U A B =

A.{|0}x x ≥

B.{|1}x x ≤

C.{|01}x x ≤≤

D.{|01}x x <<

【参考答案】D.

23.设集合{|23},{|8},,S x x T x a x a S T R =->=<<+=则a 的取值范围是

A.(3,1)--

B.[3,1]--

C.(,3][1,)-∞--+∞

D.(,3)(1,)-∞--+∞

【参考答案】A.

24.设集合{|1},{|2},A x R x a T x R x b =∈-<=∈->若,A B ⊆则实数,a b 必满足 A.3a b +≤ B.3a b +≥ C.3a b -≤ D.3a b -≥

【参考答案】D.

25.已知集合1{|349},{|46,(0,)},A x R x x B x R x t t t

=∈++-≤=∈=+-∈+∞则 集合_______.A B =

【参考答案】[2,5]-

26.已知集合{|23},{|()(2)0},A x R x B x R x m x =∈+<=∈--<且(1,),A B n =- 则____,_____.m n ==

【参考答案】1,1m n =-=

27..已知集合{|2},{|1},A x R x B x R x =∈≤=∈≤则A B =

A.(,2]-∞

B.[1,2]

C.[2,2]-

D.[2,1]-

【参考答案】D.

28.已知全集,U R =集合2{|20},A x x x =->则U A =

A.[0,2]

B.(0,2)

C.(,0)(2,)-∞+∞

D.(,0][2,)-∞+∞

【参考答案】A.

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