十年高考真题分类汇编(2010-2019) 数学 专题01 集合 Word版无答案原卷版

十年高考真题分类汇编（2010—2019）数学

专题01 集合

1.(2019?全国1?理T1)已知集合M={x|-4

B.{x|-4

2

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|-1

B.{x|-1≤x≤2}

C.{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}

) ) 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|0

B.{x|0

15.(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.9 B.8 C.5 D.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.3 B.2 C.1 D.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={x|x<3

3

2} B.A∩B=? C.A∪B={x|x<2} 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.1 B.2 C.3 D.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|-2

D.{x|1

26.(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,+∞)

2

C.[-2,2] D.(-∞,-2]∪[2,+∞)

2

27.(2016?全国1?理T1)设集合A={x|x-4x+3<0},B={x|2x-3>0},则A∩B=( ) A.(-3,-)

23

B.(-3,)

23

C.(1,) D.(,3)

2233

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|x<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}

2

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.3 B.4C.5 D.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=2,x∈R},B={x|x-1<0},则A∪B=( ) A.(-1,1)

B.(0,1) C.(-1,+∞) D.(0,+∞)

2

x

2

36.(2016?浙江?理T1)已知集合P={x∈R|1≤x≤3},Q={x∈R|x≥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.5 B.4 C.3 D.2

39.(2015?全国2?文T1)已知集合A={x|-1

3

A.(-1,3) B.(-1,0) C.(0,2) D.(2,3)

2

40.(2015?陕西?文T1)设集合M={x|x=x},N={x|lg x≤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=B B.A∩B=?C.A?B D.B?A

42.(2014?全国1?理T1)已知集合A={x|x-2x-3≥0},B={x|-2≤x<2},则A∩B=( ) A.[-2,-1] B.[-1,2)

C.[-1,1]

D.[1,2)

2

2

43.(2014?全国2?理T1)设集合M={0,1,2},N={x|x-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|-1

B.(-1,1)C.(1,3) D.(-2,3)

2

45.(2014?全国2?文T1)已知集合A={-2,0,2},B={x|x-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|0

47.(2013?全国2?理T1)已知集合M={x|(x-1)<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}

2

2

48.(2013?全国1?文T1)已知集合A={1,2,3,4},B={x|x=n,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|-3

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

4