2013,2012年全国高考集合题目(理数)
选择题:
1. (2013全国1)B
已知集合A ={x |x 2-2x >0},B ={x |x
A. A ⋂B =∅ B. A ⋃B =R C. B ⊆A D. A ⊆B
2.(2013全国2)A
已知集合M ={x |(x -1) 2
A. {0,1,2} B. {-1,0,1,2} C. {-1,0,2,3} D. {0,1,2,3}
3.(2013北京)B
已知集合A ={-1,0,1},B ={x |-1≤x
A. {0} B. {-1,0} C. {0,1} D. {-1,0,1}
4. (2013天津)D
已知集合A ={x ∈R ||x |≤2},B ={x ∈R |x ≤1},则A ⋂B =
A. (-∞, 2] B. [1,2] C. [-2, 2] D. [-2,1]
5. (2013辽宁)D
已知集合A ={x |0
A. (0,1) B. (0,2] C. (1,2) D. (1,2]
6. (2013山东)C
已知集合A ={0,1,2},则集合B ={x -y |x ∈A , y ∈A }种元素的个数是
A.1 B.3 C.5 D.9
7. (2013浙江)C
设集合S ={x |x >-2},T ={x |x +3x -4≤0}则(C R S ) ⋃T =
A. (-2,1] B. (-∞, -4] C. (-∞,1] D. [1,+∞)
8.(2013陕西)D
设全集为R
,函数f (x ) =M ,则C R M 为
A. {-1,1] B. (-1,1) C. (-∞, -1]⋃[1,+∞) D. (-∞, -1) ⋃(1,+∞)
9. (2013湖北)C
已知全集为R ,集合A ={x |() ≤1},B ={x |x -6x +8≤0},则A ⋂C R B = 21
2x 2
A. {x |x ≤0} B. {x |2≤x ≤4} C. {x |0≤x 4} D. {x |0
10. (2013广东)D
设集合M ={x |x 2+2x =0, x ∈R },N ={x |x 2-2x =0, x ∈R },则M ⋃N =
A. {0} B. {0,2} C. {-2,0} D. {-2,0,2}
11. (2013四川)A
设集合A ={x |x +2=0},集合B ={x |x 2-4=0},则A ⋂B =
A. {-2} B. {2} C. {-2, 2} D. ∅
12.(2013重庆)D
已知全集U ={1,2,3,4},集合A ={1,2},B ={2,3},则C U (A ⋃B ) =
A. {1,3,4} B. {3,4} C. {3} D. {4}
13. (2013大纲全国)B
设集合A ={1,2,3},B ={4,5},M ={x |x =a +b , a ∈A , b ∈B },则M 中元素的个数为
A.3 B.4 C.5 D.6
14. (2012课标全国)D
已知集合A ={1,2,3,4,5},B ={(x , y ) |x ∈A , y ∈A , x -y ∈A },则B 中所含元素的个数为
A.3 B.6 C.8 D.10
15. (2012辽宁)B
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(C U A ) ⋂(C U B ) =
A. {5,8} B. {7,9} C. {0,1,3} D. {2,4,6}
16. (2012北京)D
已知集合A ={x ∈R |3x +2>0},B ={x ∈R |(x +1)(x -3) >0},则A ⋂B =
A. (-∞, -1) B. (-1, -) C. (-
17. (2012山东)C 232, 3) D. (3,+∞) 3
已知全集U ={0,1,2,3,4},集合A ={1,2,3},B ={2,4},则(C U A ) ⋃B 为
A. {1,2,4} B. {2,3,4} C. {0,2,4} D. {0,2,3,4}
集合M ={x |lg x >0},N ={x |x 2≤4},则M ⋂N =
A. (1,2) B. [1,2) C. (1,2] D. [1,2]
填空题:
1. (2013江苏)
集合{-1,0,1}共有8个子集。
2013,2012年全国高考集合题目(文数)
选择题:
1. (2013全国1)A
已知集合A ={1,2,3,4},B ={x |x =n 2, n ∈A },则A ⋂B =
A. {1,4} B. {2,3} C. {9,16} D. {1,2}
2.(2013全国2)C
已知集合M ={x |-3
A. {-2, -1,0,1} B. {-3, -2, -1,0} C. {-2, -1,0} D. {-3, -2, -1}
3. (2013安徽)A
已知A ={x |x +1>0},B ={-2, -1,0,1},则(C R A ) ⋂B =
A. {-2, -1} B. {-2} C. {-1,0,1} D. {0,1}
4. (2013福建)C
若集合A ={1,2,3},B ={1,3,4},则A ⋂B 的子集的个数为
A.2 B.3 C.4 D.16
5. (2013辽宁)B
已知集合A ={0,1,2,3,4},B ={x ||x |
A. {0} B. {0,1} C. {0,2} D. {0,1,2}
6. (2013山东)A
已知集合A , B 均为全集U ={1,2, 3, 4的}子集,且C U (A ⋃B ) ={4},B ={1,,2}则A ⋂C U B =
A. {3} B. {4} C. {3,4} D. ∅
设集合S ={x |x >-2},T ={x |-4≤x ≤1}则S ⋂T =
A. [-4, +∞) B. (-2, +∞) C. [-4,1] D. (-2,1]
8.(2013陕西)B
设全集为R
,函数f (x ) =的定义域为M ,则C R M 为
A. (-∞,1) B. (1,+∞) C. (-∞,1] D. [1,+∞)
9. (2013湖北)B
已知全集U ={1,2,3,4,5},集合A ={1,2},B ={2,3,4},则B ⋂C U A =
A. {2} B. {3,4} C. {1,4,5} D. {2,3,4,5}
10. (2013广东)A
设集合S ={x |x 2+2x =0, x ∈R },T ={x |x 2-2x =0, x ∈R },则S ⋂T =
A. {0} B. {0,2} C. {-2,0} D. {-2,0,2}
11. (2013四川)B
设集合A ={1,2,3},集合B ={x |-2,2},则A ⋂B =
A. ∅ B. {2} C. {-2, 2} D. {-2,1,2,3}
13. (2013大纲全国)B
设集合U ={1,2,3,4,5},集合A ={1,2},则C U A =
A. {1,2}3 B. {3,4,5} C. {1,2,3,4,5} D. ∅
14. (2012课标全国)B
已知集合A ={x -x -2
A. A ØB B. B ØA C. A =B D. A ⋂B =∅
15. (2012安徽)D
设集合A ={x |-3≤2x -1≤3},集合B 为函数y =lg(x -1) 的定义域,则A ⋂B =
A. (1,2) B. [1,2] C. [1,2) D. (1,2]
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2013,2012年全国高考集合题目(理数)
选择题:
1. (2013全国1)B
已知集合A ={x |x 2-2x >0},B ={x |x
A. A ⋂B =∅ B. A ⋃B =R C. B ⊆A D. A ⊆B
2.(2013全国2)A
已知集合M ={x |(x -1) 2
A. {0,1,2} B. {-1,0,1,2} C. {-1,0,2,3} D. {0,1,2,3}
3.(2013北京)B
已知集合A ={-1,0,1},B ={x |-1≤x
A. {0} B. {-1,0} C. {0,1} D. {-1,0,1}
4. (2013天津)D
已知集合A ={x ∈R ||x |≤2},B ={x ∈R |x ≤1},则A ⋂B =
A. (-∞, 2] B. [1,2] C. [-2, 2] D. [-2,1]
5. (2013辽宁)D
已知集合A ={x |0
A. (0,1) B. (0,2] C. (1,2) D. (1,2]
6. (2013山东)C
已知集合A ={0,1,2},则集合B ={x -y |x ∈A , y ∈A }种元素的个数是
A.1 B.3 C.5 D.9
7. (2013浙江)C
设集合S ={x |x >-2},T ={x |x +3x -4≤0}则(C R S ) ⋃T =
A. (-2,1] B. (-∞, -4] C. (-∞,1] D. [1,+∞)
8.(2013陕西)D
设全集为R
,函数f (x ) =M ,则C R M 为
A. {-1,1] B. (-1,1) C. (-∞, -1]⋃[1,+∞) D. (-∞, -1) ⋃(1,+∞)
9. (2013湖北)C
已知全集为R ,集合A ={x |() ≤1},B ={x |x -6x +8≤0},则A ⋂C R B = 21
2x 2
A. {x |x ≤0} B. {x |2≤x ≤4} C. {x |0≤x 4} D. {x |0
10. (2013广东)D
设集合M ={x |x 2+2x =0, x ∈R },N ={x |x 2-2x =0, x ∈R },则M ⋃N =
A. {0} B. {0,2} C. {-2,0} D. {-2,0,2}
11. (2013四川)A
设集合A ={x |x +2=0},集合B ={x |x 2-4=0},则A ⋂B =
A. {-2} B. {2} C. {-2, 2} D. ∅
12.(2013重庆)D
已知全集U ={1,2,3,4},集合A ={1,2},B ={2,3},则C U (A ⋃B ) =
A. {1,3,4} B. {3,4} C. {3} D. {4}
13. (2013大纲全国)B
设集合A ={1,2,3},B ={4,5},M ={x |x =a +b , a ∈A , b ∈B },则M 中元素的个数为
A.3 B.4 C.5 D.6
14. (2012课标全国)D
已知集合A ={1,2,3,4,5},B ={(x , y ) |x ∈A , y ∈A , x -y ∈A },则B 中所含元素的个数为
A.3 B.6 C.8 D.10
15. (2012辽宁)B
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(C U A ) ⋂(C U B ) =
A. {5,8} B. {7,9} C. {0,1,3} D. {2,4,6}
16. (2012北京)D
已知集合A ={x ∈R |3x +2>0},B ={x ∈R |(x +1)(x -3) >0},则A ⋂B =
A. (-∞, -1) B. (-1, -) C. (-
17. (2012山东)C 232, 3) D. (3,+∞) 3
已知全集U ={0,1,2,3,4},集合A ={1,2,3},B ={2,4},则(C U A ) ⋃B 为
A. {1,2,4} B. {2,3,4} C. {0,2,4} D. {0,2,3,4}
集合M ={x |lg x >0},N ={x |x 2≤4},则M ⋂N =
A. (1,2) B. [1,2) C. (1,2] D. [1,2]
填空题:
1. (2013江苏)
集合{-1,0,1}共有8个子集。
2013,2012年全国高考集合题目(文数)
选择题:
1. (2013全国1)A
已知集合A ={1,2,3,4},B ={x |x =n 2, n ∈A },则A ⋂B =
A. {1,4} B. {2,3} C. {9,16} D. {1,2}
2.(2013全国2)C
已知集合M ={x |-3
A. {-2, -1,0,1} B. {-3, -2, -1,0} C. {-2, -1,0} D. {-3, -2, -1}
3. (2013安徽)A
已知A ={x |x +1>0},B ={-2, -1,0,1},则(C R A ) ⋂B =
A. {-2, -1} B. {-2} C. {-1,0,1} D. {0,1}
4. (2013福建)C
若集合A ={1,2,3},B ={1,3,4},则A ⋂B 的子集的个数为
A.2 B.3 C.4 D.16
5. (2013辽宁)B
已知集合A ={0,1,2,3,4},B ={x ||x |
A. {0} B. {0,1} C. {0,2} D. {0,1,2}
6. (2013山东)A
已知集合A , B 均为全集U ={1,2, 3, 4的}子集,且C U (A ⋃B ) ={4},B ={1,,2}则A ⋂C U B =
A. {3} B. {4} C. {3,4} D. ∅
设集合S ={x |x >-2},T ={x |-4≤x ≤1}则S ⋂T =
A. [-4, +∞) B. (-2, +∞) C. [-4,1] D. (-2,1]
8.(2013陕西)B
设全集为R
,函数f (x ) =的定义域为M ,则C R M 为
A. (-∞,1) B. (1,+∞) C. (-∞,1] D. [1,+∞)
9. (2013湖北)B
已知全集U ={1,2,3,4,5},集合A ={1,2},B ={2,3,4},则B ⋂C U A =
A. {2} B. {3,4} C. {1,4,5} D. {2,3,4,5}
10. (2013广东)A
设集合S ={x |x 2+2x =0, x ∈R },T ={x |x 2-2x =0, x ∈R },则S ⋂T =
A. {0} B. {0,2} C. {-2,0} D. {-2,0,2}
11. (2013四川)B
设集合A ={1,2,3},集合B ={x |-2,2},则A ⋂B =
A. ∅ B. {2} C. {-2, 2} D. {-2,1,2,3}
13. (2013大纲全国)B
设集合U ={1,2,3,4,5},集合A ={1,2},则C U A =
A. {1,2}3 B. {3,4,5} C. {1,2,3,4,5} D. ∅
14. (2012课标全国)B
已知集合A ={x -x -2
A. A ØB B. B ØA C. A =B D. A ⋂B =∅
15. (2012安徽)D
设集合A ={x |-3≤2x -1≤3},集合B 为函数y =lg(x -1) 的定义域,则A ⋂B =
A. (1,2) B. [1,2] C. [1,2) D. (1,2]
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