2016-2018三年高考数学(文)真题分类专题汇编解析版 - 图文

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考点1 集合的概念与运算

1.(E,全国新课标,5分)已知集合A?{x|?1?x?2},B?{x|0?x?3},则AB??

( )

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

2.(D,全国新课标,5分)已知集合M?{x|?1?x?3},N?{x|?2?x?1},则M?N?

A.(?2,1) B.(?1,1) C.(1,3) D.(?2,3)

3.(E,广东,5分)若集合M?{?1,1},N?{?2,1,0},则M?N?

?N等于 ( )

(C?B)?

A.{0,?1} B.{1} C.{0} D.{?1,1}

4.(E,福建,5分)若集合M?{x|?2?x?2},N?{0,1,2},则MA.{0} B.{1} C.{0,1,2} D.{0,1}

5.(E,安徽,5分)设全集U?{1,2,3,4,5,6},A?{1,2},B?{2,3,4},则AA.{1,2,5,6} B.{1} C.{2} D.{1,2,3,4}

6.(C,全国新课标,5分)已知集合A?{1,2,3,4},B?{x|x?n,n?A},则AB? ( )

2?A.{1,4} B.{2,3} C.{9,16} D.{1,2}

7.(C,北京,5分)已知集合A?{?1,0,1},B?{x|?1?x?1},则AB? ( )

?A.{0} B.{?1,0} C.{0,1} D.{?1,0,1}

8.(E,北京,5分)若集合A?{x|?5?x?2},B?{x|?3?x?3},则AB?( )

?A.{x|?3?x?2} B.{x|?5?x?2} c{x|?3?x?3} D.{x|?5?x?3}

9.(C,山东,5分)已知集合A,B均为全集U?{1,2,3,4}的子集,且¢1,2},则 U(AB)?{4},B?{?ACUB? ( )

A.{3} B.{4} C.{3,4} D.?

10.(C,江西,5分)集合A?{2,3},B?{1,2,3},从A,B中各任意取一个数,则这两数之和等于4的概率是

( )

2111A. B. c. D. 323611.(B,辽宁,5分)已知全集U?{0,1,2,3,4,5,6,7,8,9},集合A?{0,1,3,5,8},集合B?{2,4,5,6,8},则

(CUA)?(CUB)?( )

A.{5,8} B.{7,9} C.{0,1,3} D.{2,4,6}

12.(B,浙江,5分)设全集U?{1,2,3,4,5,6},集合P?{1,2,3,4},Q?{3,4,5},则P?(CUQ)?( )

A.{1,2,3,4,6} B.{1,2,3,4,5} C.{1,2,5} D.{1,2}

13. (B,湖南,5分)设集合M?{?1,0,1},N?{x|x?x},则M2?N?

A.{?1,0,1} B.{0,1} c.{1} D.{0}

214.(B,陕西,5分)集合M?{x|kx?0},N?{x|x?4},则M?N?

?A.(1,2) B.[1,2) C.(1,2] D.[1,2]

15. (D,四川,5分)已知集合A?{x|(x?1)(x?2)?0},集合B为整数集,则AB?( )

A.{?1,0} B.{0,1} C.{?2,?1,0,1} D.{?1,0,1,2}

16. (D,广东,5分)已知集合M?{2,3,4},N?{0,2,3,5},则M?N?( )

?A.{0,2} B.{2,3} c.{3,4} D.{3,5}

17. (E,山东,5分)已知集合A?{x|2?x?4},B?{x|(x?1)(x?3)?0},则AB?( )

A.(1,3) B.(1,4) C.(2,3) D.(2,4)

18.(B,广东,5分)设集合U?{1,2,3,4,5,6},M?{1,3,5},则CUM?( )

A.U

1h.{1,2,4h c.{1,3,5} D.{2,4,6}

19.(C,上海,5分)设常数a?R,集合A?{x|(x?1).(x?a)?0},B?{xx?a?1}.若A的取值范围为( )

?B?R,则a

A.(??,2) B.(??,2] C.(2,??) D.L2,??)

20. (D,福建,5分)若集合p?{x|2?x?4},Q?{x|x?3},则PQ等于( )

?A.{x|3?x?4} B.{x|3?x?4} C.{x|2?x?3} D.{x|2?x?3}

21. (E,浙江,5分)已知集合p?{x{x?2x?3},Q?{x|2?4},则PQ?

2?A.[3,4) B.(2,3] C.(?1,2) D(?1,3]

22. (E,天津,5分)已知全集U?{1,2,3,4,5,6},集合A??2,3,5?集合B?{1,3,4,6},则集合ACUB?

A.{3} B.{2,5} C.(1,4,6) D.{2,3,5}

23.(A,福建,5分)若集合M?{?1,0,1},N?{0,1,2},则M?N等于

A.{0,1} B.{?1,0,1} C.{0,1,2} D.{?1,0,1,2}

24.(E,四川,5分)设集合A?{x|?1?x?2},集合B?{x|1?x?3},AB?

A.{x|?1?x?3} B.{x|?1?x?1} C.{x|1?x?2} D.{x|2?x?3}

25.(C,辽宁,5分)已知集合A?{0,1,2,3,4},B?{x||x|?2},则A?B?

A.{0} B.{0,1} C.{0,2} D.{0,1,2}

26.(A,湖北,5分)已知U?{1,2,3,4,5,6,7,8},A?{1,3,5,7},B?{2,4,5},则CU(A?B)?

A.{6,8} B.{5,7} c.{4,6,7} D.{1,3,5,6,8}

27.(A,全国新课标,5分)已知集合M?{0,1,2,3,4},N?{1,3,5},P?M?N,则P的子集共有( )A2个 B. 4个 C.6个 D.8个

28.(A,安徽,5分)集合U?{1,2,3,4,5,6},s?{1,4,5},T?{2,3,4}1则S?(CUT)等于 ( )

A.{1,4,5,611 B.{1.5} c.{4} D.{1,2,3.4,5} 29. (A,江西,5分)若全集U?{1,2,3,4,5,6},M?{2,3},N?{1,4},则集合{5,6}等于 ( )

A.M?N

B.M?N C.(CUM)(CUN) D.(CLJM)?(CUN)

30.(A,浙江,5分)若p?{x|x?1},??{x|x??1},则

A.P?Q BQ?P C.CRP?Q D.Q?CRP

31.(E,重庆,5分)已知集合A?{1,2,3},B?{1,3},则AB?

A.{2} B.{1,2} C.{1,3} D.{1,2.3}

32.(E,陕西,5分)设集合M?{x|x?x},N?{x|lgx?0},则M?N?( )

A.[0,1] B.(0,1] C.[0,1) D.(??,1]

33.(D,湖北,5分)已知全集U={l,2,3,4,5,6,7),集合A={1,3,5,6),CUA?

A.{1,3,5,6} B.{2,3.7} C.{2,4,7} D.{2.5.7}

34.(E,湖北,5分)已知集合A?{(x,y)|x?y?1,x,y?z},B?{(x,y)x2?2,y?2,x,y?z},

定义集合A?B?{(x1?x2,y1?y2)|(x1,y1)?A,(x2,y2)?B},则A?B中元素的个数为( ) A. 77 B.49 C.45 D.30

35.(E,江苏,5分).已知集合A??1,2,3?B??2,4,5?,则,则集合AB中元素的个数为

?36.(B,上海,4分)若集合A?x2x?1?0,B?xx?1,37. (C,江苏,5分)集合{-1,O,1}共有____个子集

????则A?B?________

38. (A,上海,4分)若全集U=R,集合A?{xx?1},则CUA? 39.(E,湖南,5分)已知集合U?{1,2,3,4},A?{1,3}B?{1,3,4},则A40.(D,江苏,5分)已知集合A?{?2,?1,3,4},B???1,2,3?则AB?(CUB)?

_______

________

?41.(D,重庆,5分)已知集合A?{3,4,5,12,13}L,B?{2,3,5,8,13},则AB??42.(E,上海,4分)设全集U?R.若集合A?{1,2,3,4},B?x2?x?3},则ACUB? 答案

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