2016年高考试题分类汇编(集合)

2016年高考试题分类汇编(集合)

考点1 集合的基本概念

1.(2016·四川卷·文科)设集合{|15}A x x =≤≤,Z 为整数集,则A Z 中元素的个数是

A.3

B.4

C.5

D.6

2.(2016·四川卷·理科)设集合{|22}A x x =-≤≤,Z 为整数集,则A Z 中元素的个数是

A.3

B.4

C.5

D.6

考点2 集合的基本关系

考点3 集合的基本运算

考法1 交集

1.(2016·江苏卷·理科)已知集合{}1,2,3,6A =-,{}23B x x =-<<,则 A B = ___ __.

2.(2016·全国卷Ⅰ·文科)设集合{1,3,5,7}A =,{|25}B x x =≤≤,则A B =

A. {1,3}

B. {3,5}

C. {5,7}

D. {1,7}

3.(2016·天津卷·文理)已知集合{}1,2,3,4A =,{}32,B y y x x A ==-∈,则 A B =

A. {}1

B. {}4

C. {}13,

D. {}14,

4.(2016·北京卷·理科)已知集合{}

2A x x =<,{}1,0,1,2,3B =-,则A B =

A. {}0,1

B. {}0,1,2

C. {}1,0,1-

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

5.(2016·北京卷·文科)已知集合{}24A x x =<<,{}35B x x x =<>或,则A B = A.{}25x x << B.{}45x x x <>或 C.{}23x x << D.{}25x x x <>或

6.(2016·全国卷Ⅰ·理科)设集合{}

2430A x x x =-+<,{}230B x x =->,

则A B = A. 3(3,)2-- B. 3(3,)2- C. 3(1,)2 D. 3(3)2, 7.(2016·全国卷Ⅱ·文科)已知集合{}1,2,3A =,{}

29B x x =<,则A B =

A.{}210,1,2,3--,,

B.{}21012--,,,,

C. {}123,,

D. {}12, 考法2 并集

1.(2016·全国卷Ⅲ·理科)设集合{}(2)(3)0S x x x =--≥,{}0T x x =>,则S T =I

A. []23,

B. (][),23-∞+∞,U

C. [)3+∞,

D.

(][)0,23+∞,U 2.(2016·全国卷Ⅱ·理科)已知集合{}1,2,3A =,{|(1)(2)0,}B x x x x =+-<∈Z , 则A B =

A.{}1

B. {}1,2

C. {}0,1,2,3

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

3.(2016·山东卷·理科)设集合{}2,x A y y x R ==∈,{}

210B x x =-<, 则 A B = A. (1,1)- B. (0,1) C. (1,)-+∞ D. (0,)+∞

考法3 补集

1.(2016·全国卷Ⅲ·文科)设集合{}0,2,4,6,8,10A =,{}4,8B =,则A C B =

A.{}4,8

B. {}0,2,6

C. {}0,2,6,10

D. {}0,2,4,6,8,10 考法4 交、并不混合运算

1.(2016·浙江卷·理科)已知集合{}13P x R x =∈≤≤, {}24Q x R x =∈≥,则()R P C Q =

A .[]23,

B .(]2,3-

C .[)1,2

D .(,2][1,)-∞-+∞

2.(2016·浙江卷·文科)已知全集{}123456U =,,,,,,{}135P =,,,{}1,2,4Q =, 则()R C P Q =

A. {}1

B. {}35,

C. {}1246,,,

D. {}12345,,,,

3.(2016·山东卷·文科)设集合{}123456U =,,,,,,{}135A =,,,{}345B =,,, 则 ()U C A B =

A. {}26,

B. {}36,

C. {}1345,,,

D. {}124,6,,

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