高考数学试题分类https://www.docsj.com/doc/ea2522695.html,work Information Technology Company.2020YEAR
(8)(2011安徽理科)设集合{}1,2,3,4,5,6,A ={}4,5,6,7,B =则满足S A ?且
S B Z ≠的集合S 为
(A )57 (B )56 (C )49 (D )8 (8)【答案】B
【命题意图】本题考查集合间的基本关系,考查集合的基本运算,考查子集问题,考查组合知识.属中等难度题.
【解析】集合A 的所有子集共有6264=个,其中不含4,5,6,7的子集有328=个,所以集合S 共有56个.故选B.
(2)(2011安徽文科)集合}{,,,,,U =123456,}{,,S =145,}{,,T =234,则
)(T C S U ?等于 B
(A )}{,,,1456 (B ) }{,15 (C ) }{4
(D )
}{,,,,12345
1.(2011北京理科)已知集合P={x ︱x 2≤1},M={a }.若P ∪M=P,则a 的取
值范围是 C A .(-∞, -1] B .[1, +∞)
C .[-1,1]
D .(-∞,-1] ∪[1,+∞)
(1)(2011北京文科)已知全集U=R ,集合{}
21P x x =≤,那么U C P =D
A. (),1-∞-
B.
()1,+∞
C. ()1,1-
D.
()(),11,-∞-+∞
1. (2011福建理科)i 是虚数单位,若集合S=}{1.0.1
-,则 B
A.i S ∈
B.2i S ∈
C. 3i S ∈
D.2
S i
∈
1. (2011福建文科) 若集合M={-1,0,1},N={0,1,2},则M ∩N 等于A
A.{0,1}
B.{-1,0,1}
C.{0,1,2}
D.{-1,0,1,2}
2.(2011广东理科)已知集合(){,A x y = ∣,x y 为实数,且}221x y +=,
(){,B x y =,x y 为实数,且}y x =,则A B ?的元素个数为 C A.0 B.1 C.2 D.3
2.(2011广东文科)已知集合(){,|A x y x y =、为实数,且}22
1x y +=,
(){,|B x y x y =、为实数,且}1x y +=,则A B 的元素个数为( C )
A .4
B .3
C .2
D .1
2. (2011湖南理科)设{1,2}M =,2{}N a =,则“1a =”是“N M ?”则( ) A .充分不必要条件 B .必要不充分条件 C .充分必要条件 D .既不充分又不必要条件 答案:A
解析:因“1a =”,即{1}N =,满足“N M ?”,反之“N M ?”,则
2{}={1}N a =,或2{}={2}N a =,不一定有“1a =”。
1.(2011湖南文科)设全集{1,2,3,4,5},{2,4},U U M N M
C N ===则N =
( )
A .{1,2,3}
B .{1,3,5} C.{1,4,5} D.{2,3,4} 答案:B
解析:画出韦恩图,可知N ={1,3,5}。
1、(2011江苏文理)已知集合{1,1,2,4},{1,0,2},A B =-=- 则_______,=?B A 答案:{}1-,2
(1) (2011江西理科)若集合}02
|
{},3121|{≤-=≤+≤-=x
x x B x x A ,则B A ?= ( )
A.}01|{<≤-x x
B.}10|{≤ C.}20|{≤≤x x D.}10|{≤≤x x 答案:B 解析:{}{}{}10/,20/,11/≤<=?≤<=≤≤-=x x B A x x B x x A 2. (2011江西文科)若全集{1,2,3,4,5,6},{2,3},{1,4}U M N ===,则集合{5,6}等于( ) A.M N ? B.M N ? C.()()U U C M C N ? D.()()U U C M C N ? 答案:D 解析:{ }4,3,2,1=?N M ,Φ=?N M ,()(){}6,5,4,3,2,1=?N C M C U U , ()(){}6,5=?N C M C U U 2.(2011辽宁理科)已知M ,N 为集合u 的非空真子集,且M ,N 不相等,若 N M C u ?,则=N M A A .M B .N C .I D .? 1.(2011辽宁文科)已知集合A ={x 1|>x },B ={x 21|<<-x }},则A B = A A .{x 21|<<-x } B .{x 1|->x } C .{x 11|<<-x } D .{x 21|< (1)(2011全国大纲卷文科)设集合{}1,2,3,4U =,{}1,2,3,M ={}2,3,4,N =则 U =?(M N ) (A ){}12, (B ){}23, (C ){}2,4 (D ){}1,4 【思路点拨】解决本题的关键是掌握集合交并补的计算方法,易求{2,3}M N =, 进而求出其补集为{}1,4. 【精讲精析】选D. {2,3},(){1,4}U M N M N =∴=. 1.(2011新课标卷文科)已知集合M={0,1,2,3,4},N={1,3,5}, P=M N ,则P 的子集共有B A .2个 B .4个 C .6个 D .8个 (1)(2011山东理科)设集合 M ={x|x 2 +x-6<0},N ={x|1≤x ≤3},则M ∩N =A (A )[1,2) (B )[1,2] (C )( 2,3] (D )[2,3] (1)(2011山东文科)设集合 M ={x|(x+3)(x-2)<0},N ={x|1≤x ≤3},则M ∩N =A (A )[1,2) (B )[1,2] (C )( 2,3] (D )[2,3] 1.(2011四川文科)若全集{1,2,3,4,5}M =,{2,4}N =,则M N = (A )? (B ){1,3,5} (C ) {2,4} (D ){1,2,3,4,5} 答案:B 解析:∵{1,2,3,4,5}M =,则M N ={1,3,5},选B . (2) (2011重庆文科)设 , ,则 (A), (B), (C) , , (D) ,, 2. (2011湖北理科)已知{}21|log ,1,|,2U y y x x P y y x x ?? ==>==>????,则 U C P =A A. 1[,)2+∞ B. 10,2?? ??? C. ()0,+∞ D. 1(,0][,)2-∞+∞ 1. (2011湖北文科)已知{}{}{} 1,2,3,4,5,6,7,8,1,3,5,7,2,4,5,U A B ===则()U A B ?=A A. ()()1,2,1,1a b ==-{}6,8 B.{}5,7 C.{}4,6,7 D.{}1,3,5,6,8 2、(2011上海理科)若全集U R =,集合{|1}{|0}A x x x x =≥≤,则U C A = {|01}x x << 。 1、(2011上海文科)若全集U R =,集合{|1}A x x =≥,则U C A = {|1}x x < 。 (1)若{1},{1}P x x Q x x =<>,则C A .P Q ? B .Q P ? C .R C P Q ? D .R Q C P ?