设集合A={1,2,3,5,7},B={x∈Z|1<x≤6},全集U=A∪B,则A∩CUB=( )A.{1,4,6,7}B.{2,3,7}C.{1,7}D.{
题型:单选题难度:一般来源:石家庄二模
设集合A={1,2,3,5,7},B={x∈Z|1<x≤6},全集U=A∪B,则A∩CUB=( )A.{1,4,6,7} | B.{2,3,7} | C.{1,7} | D.{1} |
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答案
∵B={x∈Z|1<x≤6}={2,3,4,5,6},集合A={1,2,3,5,7}, ∴全集为U=A∪B={1,2,3,4,5,6,7}, ∴CUB={1,7}, 则A∩CUB={1,7}. 故选C |
举一反三
x∈∁U(M∩N)成立的充要条件是( )A.x∈∁UM | B.x∈∁UN | C.x∈∁UM且x∈∁UN | D.x∈∁UM或x∈∁UN |
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已知集合A={0,1,2},B={x|x=2a,a∈A},则A∩B中元素的个数为( ) |
已知全集R,集合E={x|b<x<},F={x|<x<a},M={x|b<x≤},若a>b>0,则有( )A.M=E∩F | B.M=E∪F | C.M=E∩(CRF) | D.M=(CRE)∩F |
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已知全集U={1,2,3,4},集合A={1,2},B={2,4},则(∁UA)∪B=( )A.{1,2} | B.{2,3,4} | C.{3,4} | D.{1,2,3,4} |
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若集合A={x|≤0},B={x|x2<2x},则A∩B=( )A.{x|0<x<1} | B.{x|0≤x<1} | C.{x|0<x≤1} | D.{x|0≤x≤1} |
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