(2010-2019)十年高考数学真题分类汇编共20个专题 学生版+解析版

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

-x-6<0},则M∩N=( ) A.{x|-4

D.{x|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∩?

U

A=( )

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|-12}

D.{x|x≤-1}∪{x|x≥2}

1

) )

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|0

D.{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( )

2

A.A∩B={x|x<0} C.A∪B={x|x>1}

B.A∪B=R 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

2} B.A∩B=? C.A∪B={x|x<32} 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

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,+∞) 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=( )

3

) )

A.(-3,-) C.(1,2)

3

32B.(-3,) D.(2,3)

3

32

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}

D.{-1,0,1,2,3}

C.{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} C.{1,2,3}

B.{-2,-1,0,1,2}

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.3

B.4C.5 D.6

4

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.5

B.4

C.3

D.2

39.(2015?全国2?文T1)已知集合A={x|-1

D.(2,3)

40.(2015?陕西?文T1)设集合M={x|x2=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|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}

5