九年(2010-2018年)高考真题文科数学精选(含解析)
专题一 集合与常用逻辑用语
第一讲 集合
一、选择题
0,1,2},则A1.(2018全国卷Ⅰ)已知集合A?{0,2},B?{?2,?1,B?
A.{0,2} B.{1,2}
C.{0} 0,1,2} D.{?2,?1,2.(2018浙江)已知全集U?{1,2,3,4,5},A?{1,3},则eUA= A.?
B.{1,3}
C.{2,4,5}
D.{1,2,3,4,5}
B?
3.(2018全国卷Ⅱ)已知集合A??1,3,5,7?,B??2,3,4,5?,则AA.{3}
B.{5}
C.{3,5}
D.?1,2,3,4,5,7?
4.(2018北京)已知集合A?{x||x|?2},B?{?2,0,1,2},则AA.{0,1}
B?
B.{–1,0,1} C.{–2,0,1,2} D.{–1,0,1,2}
5.(2018全国卷Ⅲ)已知集合A?{x|x?1≥0},B?{0,1,2},则AA.{0}
B.{1}
C.{1,2}
B?
D.{0,1,2}
6.(2018天津)设集合A?{1,2,3,4},B?{?1,0,2,3},C?{x?R|?1≤x?2},则
(AB)C?
A.{?1,1}
B.{0,1} C.{?1,0,1} D.{2,3,4}
7.(2017新课标Ⅰ)已知集合A?{x|x?2},B?{3?2x?0},则
3B?{x|x?} B.AB??
23C.AB?{x|x?} D.AB?R
2A.A8.(2017新课标Ⅱ)设集合A?{1,2,3},B?{2,3,4}错误!未找到引用源。则AA.{1,2,3,4} B.{1,2,3} C.{2,3,4} D.{1,3,4} 9.(2017新课标Ⅲ)已知集合A?{1,2,3,4},B?{2,4,6,8},则AA.1 B.2 C.3 D.4
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B=
B中元素的个数为
10.(2017天津)设集合A?{1,2,6},B?{2,4},C?{1,2,3,4},则(AB)C?
A.{2} B.{1,2,4} C.{1,2,4,6} D.{1,2,3,4,6}
N?xx?2,11.(2017山东)设集合M?xx?1?1,则MA.??1,1? B.??1,2?
C.?0,2?
????N?
D.?1,2?
12.(2017北京)已知U?R,集合A?{x|x??2或x?2},则eUA=
A.(?2,2) B.(??,?2)(2,??) C.[?2,2] D.(??,?2][2,??)
13.(2017浙江)已知集合P?{x|?1?x?1},Q?{x|0?x?2},那么PA.(?1,2) B.(0,1) C.(?1,0) D.(1,2) 14.(2016全国I卷)设集合A?{1,3,5,7},B?{x|2≤x≤5},则AQ=
B=
A.{1,3} B.{3,5} C.{5,7} D.{1,7}
2,,3}B?{x|x2?9},则A15.(2016全国Ⅱ卷)已知集合A?{1,B?
?1,0,1,2} C.{1,?1,0,1,2,3} B.{?2,2,3} D.{1,2} A.{?2,16.(2016全国Ⅲ)设集合A?{0,2,4,6,8,10},B?{4,8},则eAB=
8} A.{4,2,6} B.{0,2,6,10} C.{0,2,4,6,8,10} D.{0,17.(2015新课标2)已知集合A?{x|?1?x?2},B?{x|0?x?3},则AA.(?1,3) B.(?1,0) C.(0,2) D.(2,3)
B=
18.(2015新课标1)已知集合A?{xx?3n?2,n?N},B?{6,8,10,12,14},则集合A中的元素个数为
A.5 B.4 C.3 D.2
19.(2015北京)若集合A?{x|?5?x?2},B?{x|?3?x?3},则AA.{x|?3?x?2} B.{x|?5?x?2} C.{x|?3?x?3} D.{x|?5?x?3}
B
B=
20.(2015天津)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
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集合AeUB?
A.{3} B.{2,5} C.{1,4,6} D.{2,3,5} 21.(2015陕西)设集合M?{x|x2?x},N?{x|lgx≤0},则MA.[0,1] B.(0,1] C.[0,1) D.(-∞,1]
22.(2015山东)已知集合A?x2?x?4,B?x(x?1)(x?3)?0,则AA.?1,3? B.?1,4? C.?2,3? D.?2,4? 23.(2015福建)若集合M?x?2?x?2,N??0,1,2?,则MA.?0? B.?1? C.?0,1,2? D.?0,1? 24.(2015广东)若集合M???1,1?,N???2,1,0?,则MN=
????B?
??N等于
N?
A.?0,?1? B.?1? C.?0? D.??1,1?
25.(2015湖北)已知集合A?{(x,y)|x2?y2≤1,x,y?Z},B?{(x,y)||x|≤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
226.(2014新课标)已知集合A={x|x?2x?3?0},B={x|-2≤x<2},则AB=
A.[?2, ?1] B.[?1,1] C.[?1,2) D.[1,2) 27.(2014新课标)设集合M={0,1,2},N=?x|x2?3x?2≤0?,则MA.{1} B.{2} C.{0,1} D.{1,2}
228.(2014新课标)已知集合A={?2,0,2},B={x|x?x?2?0},则AN=
B?
A. ? B.?2? C.?0? D.??2?
x29.(2014山东)设集合A?{xx?1?2},B?{yy?2,x?[0,2]},则A?B?
A. [0,2] B.(1,3) C. [1,3) D. (1,4)
30.(2014山东)设集合A?{x|x?2x?0},B?{x|1?x?4},则AA.(0,2] B.(1,2)
C.[1,2) D.(1,4)
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2B?