已知全集U=A∪B={x∈N|0≤x≤10},A∩(CUB)={1,3,5,7},则集合B=(  )A.{0,2,4,6,8,10}B.{0,2,4,6,8,9

已知全集U=A∪B={x∈N|0≤x≤10},A∩(CUB)={1,3,5,7},则集合B=(  )A.{0,2,4,6,8,10}B.{0,2,4,6,8,9

题型:单选题难度:一般来源:不详
已知全集U=A∪B={x∈N|0≤x≤10},A∩(CUB)={1,3,5,7},则集合B=(  )
A.{0,2,4,6,8,10}B.{0,2,4,6,8,9,10}
C.{2,4,6,8,9,10}D.{2,4,6,8,10}
答案
∵全集U=A∪B={x∈N|0≤x≤10}={0,1,2,3,4,5,6,7,8,9,10},
∴(A∩(CUB))∩B=φ,(A∩(CUB))∪B=U,
故B=CU(A∩(CUB))
又∵A∩(CUB)={1,3,5,7},
∴B={0,2,4,6,8,9,10}
故选B
举一反三
如果全集U={1,2,3,4,5,6,7,8},A={2,5,8},B={1,3,5,7},那么(CUA)∩B等于 ______.
题型:填空题难度:简单| 查看答案
已知集合A={2,log3a},B={a,b},若A∩B={1},则A∪B=______.
题型:填空题难度:一般| 查看答案
已知集合M={1,2,3,4,5},N={2,4,6,8,10},则M∩N=______.
题型:填空题难度:简单| 查看答案
若集合A={x|x>0}.B={x|x<3},则A∩B等于(  )
A.{x|x<0}B.{x|0<x<3}C.{x|x>4}D.R
题型:单选题难度:一般| 查看答案
设集合A={3,5,6,8},集合B={4,5,7,8},则A∩B等于(  )
A.{3,4,5,6,7,8}B.{3,6}
C.{4,7}D.{5,8}
题型:单选题难度:一般| 查看答案
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