《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 =I
B.M N N =U
C.()U M N R =U ð
D.(){0}
U M N =I ð【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 =I ð
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 =U
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 =I
D.{1,4}M N =U
【参考答案】C.
6.设集合2{1,0,1},{|},M N x x x =-=≤则M N =I
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 =U
【参考答案】(,4)-∞
8.若集合{|2},{|}A x x B x x a =≤=≥满足{2},A B =I 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 =U 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 =I
【参考答案】(1,2)
11.已知集合1{|2},{|0},1
A x x
B x x =<=>+则_______.A B =I 【参考答案】(1,2)-
12.若全集,U R =集合{|1}{|0},A x x x x =≥≤U 则_____.U A =ð
【参考答案】(0,1)
13.若集合2{|1},{|4},A x x B x x =≥=≤则_______.A B =I
【参考答案】[1,2]
14.若集合{|210},{|12},A x x B x x =+>=-<则_______.A B =I 【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 =U ,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 I B.M N U C.()R C M N I D.()R C M N U
【参考答案】D.
17.已知集合{|35},{|55},M x x N x x =-<≤=-<<则M N =I
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 ==I I ð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 =∅I ð则M N =U
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 =I 痧
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 =I
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 =U ð
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 =->=<<+=U 则a 的取值范围是
A.(3,1)--
B.[3,1]--
C.(,3][1,)-∞--+∞U
D.(,3)(1,)-∞--+∞U
【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 =I
【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 =-I 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 =I
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 =ð
A.[0,2]
B.(0,2)
C.(,0)(2,)-∞+∞U
D.(,0][2,)-∞+∞U
【参考答案】A.
