2.(2019•全国1•文T2)已知集合U={1,2,3,4,5,6,7},A={2,3,4,5},B={2,3,6,7},则B∩∁UA=( )
A.{1,6}B.{1,7}C.{6,7}D.{1,6,7}
3.(2019•全国2•理T1)设集合A={x|x2-5x+6>0},B={x|x-1<0},则A∩B=( )
A.(-∞,1)B.(-2,1)C.(-3,-1)D.(3,+∞)
4.(2019•全国2•文T1)已知集合A={x|x>-1},B={x|x<2},则A∩B=( )
A.(-1,+∞)B.(-∞,2)C.(-1,2)D.⌀
5.(2019•全国3•T1)已知集合A={-1,0,1,2},B={x|x2≤1},则A∩B=( )
A.{-1,0,1}B.{0,1}C.{-1,1}D.{0,1,2}
6.(2019•北京•文T1)已知集合A={x|-11},则A∪B=( )
A.(-1,1)B.(1,2)C.(-1,+∞)D.(1,+∞)
7.(2019•天津•T1)设集合A={-1,1,2,3,5},B={2,3,4},C={x∈R|1≤x<3},则(A∩C)∪B=( )
A.{2}B.{2,3}C.{-1,2,3}D.{1,2,3,4}
8.(2019•浙江•T1)已知全集U={-1,0,1,2,3},集合A={0,1,2},B={-1,0,1},则(∁UA)∩B=( )
A.{-1}B.{0,1}C.{-1,2,3}D.{-1,0,1,3}
9.(2018•全国1•理T2)已知集合A={x|x2-x-2>0},则∁RA=( )
A.{x|-1C.{x|x<-1}∪{x|x>2}D.{x|x≤-1}∪{x|x≥2}
10.(2018•全国1•文T1)已知集合A={0,2},B={-2,-1,0,1,2},则A∩B=( )
A.{0,2}B.{1,2}C.{0}D.{-2,-1,0,1,2}
11.(2018•全国2•文T2,)已知集合A={1,3,5,7},B={2,3,4,5},则A∩B=( )
A.{3}B.{5}C.{3,5}D.{1,2,3,4,5,7}
12.(2018•全国3•T1)已知集合A={x|x-1≥0},B={0,1,2},则A∩B=( )
A.{0}B.{1}C.{1,2}D.{0,1,2}
13.(2018•北京•T1)已知集合A={x||x|<2},B={-2,0,1,2},则A∩B=( )
A.{0,1}B.{-1,0,1}
C.{-2,0,1,2}D.{-1,0,1,2}
14.(2018•天津•理T1)设全集为R,集合A={x|0A.{x|015.(2018•天津•文T1)设集合A={1,2,3,4},B={-1,0,2,3},C={x∈R|-1≤x<2},则(A∪B)∩C=( )
A.{-1,1}B.{0,1}
C.{-1,0,1}D.{2,3,4}
16.(2018•浙江•T1)已知全集U={1,2,3,4,5},A={1,3},则∁UA=( )
A.⌀B.{1,3}C.{2,4,5}D.{1,2,3,4,5}
17.(2018•全国2•理T2,)已知集合A={(x,y)|x2+y2≤3,x∈Z,y∈Z},则A中元素的个数为( )
A.9B.8C.5D.4
18.(2017•全国3•理T1,)已知集合A={(x,y)|x2+y2=1},B={(x,y)|y=x},则A∩B中元素的个数为
A.3B.2C.1D.0
19.(2017•全国1•理T1)已知集合A={x|x<1},B={x|3x<1},则( )
A.A∩B={x|x<0}B.A∪B=R
C.A∪B={x|x>1}D.A∩B=⌀
20.(2017•全国2•理T2)设集合A={1,2,4},B={x|x2-4x+m=0}.若A∩B={1},则B=( )
A.{1,-3}B.{1,0}C.{1,3}D.{1,5}
21.(2017•全国1•文T1)已知集合A={x|x<2},B={x|3-2x>0},则( )
A.A∩B=
B.A∩B=⌀
C.A∪B=
D.A∪B=R
22.(2017•全国2•文T1)设集合A={1,2,3},B={2,3,4},则A∪B=( )
A.{1,2,3,4}B.{1,2,3}C.{2,3,4}D.{1,3,4}
23.(2017•全国3•文T1)已知集合A={1,2,3,4},B={2,4,6,8},则A∩B中元素的个数为( )
A.1B.2C.3D.4
24.(2017•天津•理T1)设集合A={1,2,6},B={2,4},C={x∈R|-1≤x≤5},则(A∪B)∩C=( )
A.{2}B.{1,2,4}C.{1,2,4,6}D.{x∈R|-1≤x≤5}
25.(2017•北京•理T1)若集合A={x|-23},则A∩B=( )
A.{x|-2C.{x|-126.(2017•北京•文T1)已知全集U=R,集合A={x|x<-2或x>2},则∁UA=( )
A.(-2,2)B.(-∞,-2)∪(2,+∞)
C.[-2,2]D.(-∞,-2]∪[2,+∞)
27.(2016•全国1•理T1)设集合A={x|x2-4x+3<0},B={x|2x-3>0},则A∩B=( )
A.
B.
C.
D.
28.(2016•全国2•理T2)已知集合A={1,2,3},B={x|(x+1)(x-2)<0,x∈Z},则A∪B=( )
A.{1}B.{1,2}
C.{0,1,2,3}D.{-1,0,1,2,3}
29.(2016•全国3•理T1)设集合S={x|(x-2)•(x-3)≥0},T={x|x>0},则S∩T=( )
A.[2,3]
B.(-∞,2]∪[3,+∞)
C.[3,+∞)
D.(0,2]∪[3,+∞)
30.(2016•全国1•文T1)设集合A={1,3,5,7},B={x|2≤x≤5},则A∩B=( )
A.{1,3}B.{3,5}C.{5,7}D.{1,7}
31.(2016•全国2•文T1)已知集合A={1,2,3},B={x|x2<9},则A∩B=( )
A.{-2,-1,0,1,2,3}B.{-2,-1,0,1,2}
C.{1,2,3}D.{1,2}
32.(2016•全国3•文T1)设集合A={0,2,4,6,8,10},B={4,8},则∁AB=( )
A.{4,8}
B.{0,2,6}
C.{0,2,6,10}
D.{0,2,4,6,8,10}
33.(2016•四川•理T1)设集合A={x|-2≤x≤2},Z为整数集,则集合A∩Z中元素的个数是( )
A.3B.4C.5D.6
34.(2016•天津•理T1)已知集合A={1,2,3,4},B={y|y=3x-2,x∈A},则A∩B=( )
A.{1}B.{4}C.{1,3}D.{1,4}
35.(2016•山东•理T2)设集合A={y|y=2x,x∈R},B={x|x2-1<0},则A∪B=( )
A.(-1,1)B.(0,1)C.(-1,+∞)D.(0,+∞)
36.(2016•浙江•理T1)已知集合P={x∈R|1≤x≤3},Q={x∈R|x2≥4},则P∪(∁RQ)=( )
A.[2,3]B.(-2,3]
C.[1,2)D.(-∞,-2]∪[1,+∞)
37.(2015•全国2•理T1)已知集合A={-2,-1,0,1,2},B={x|(x-1)(x+2)<0},则A∩B=( )
A.{-1,0}B.{0,1}
C.{-1,0,1}D.{0,1,2}
38.(2015•全国1•文T1)已知集合A={x|x=3n+2,n∈N},B={6,8,10,12,14},则集合A∩B中元素的个数为( )
A.5B.4C.3D.2
39.(2015•全国2•文T1)已知集合A={x|-1A.(-1,3)B.(-1,0)C.(0,2)D.(2,3)
40.(2015•陕西•文T1)设集合M={x|x2=x},N={x|lgx≤0},则M∪N=( )
A.[0,1]B.(0,1]C.[0,1)D.(-∞,1]
41.(2015•重庆•理T1,)已知集合A={1,2,3},B={2,3},则( )
A.A=BB.A∩B=⌀C.A⫋BD.B⫋A
42.(2014•全国1•理T1)已知集合A={x|x2-2x-3≥0},B={x|-2≤x<2},则A∩B=( )
A.[-2,-1]B.[-1,2)C.[-1,1]D.[1,2)
43.(2014•全国2•理T1)设集合M={0,1,2},N={x|x2-3x+2≤0},则M∩N=( )
A.{1}B.{2}C.{0,1}D.{1,2}
44.(2014•全国1•文T1)已知集合M={x|-1A.(-2,1)B.(-1,1)C.(1,3)D.(-2,3)
45.(2014•全国2•文T1)已知集合A={-2,0,2},B={x|x2-x-2=0},则A∩B=( )
A.⌀B.{2}C.{0}D.{-2}
46.(2014•辽宁•理T1)已知全集U=R,A={x|x≤0},B={x|x≥1},则集合∁U(A∪B)=( )
A.{x|x≥0}
B.{x|x≤1}
C.{x|0≤x≤1}
D.{x|047.(2013•全国2•理T1)已知集合M={x|(x-1)2<4,x∈R},N={-1,0,1,2,3},则M∩N=( )
A.{0,1,2}B.{-1,0,1,2}C.{-1,0,2,3}D.{0,1,2,3}
48.(2013•全国1•文T1)已知集合A={1,2,3,4},B={x|x=n2,n∈A},则A∩B=( )
A.{1,4}B.{2,3}C.{9,16}D.{1,2}
49.(2013•全国2•文T1)已知集合M={x|-3A.{-2,-1,0,1}B.{-3,-2,-1,0}C.{-2,-1,0}D.{-3,-2,-1}
50.(2013•上海•理T15)设常数a∈R,集合A={x|(x-1)(x-a)≥0},B={x|x≥a-1}.若A∪B=R,则a的取值范围为( )
A.(-∞,2)B.(-∞,2]C.(2,+∞)D.[2,+∞)
51.(2013•广东•理T8)设整数n≥4,集合X={1,2,3,…,n},令集合S={(x,y,z)|x,y,z∈X,且三条件x<