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} |
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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 ______. |
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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} |
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