设全集U={x|x≤8,x∈N+},若A∩(CUB)={1,8},(CUA)∩B={2,6},(CUA)∩(CUB)={4,7},则()A.A=1,8,B=2,6B.A={1,3,5,8},B={2,

题目简介

设全集U={x|x≤8,x∈N+},若A∩(CUB)={1,8},(CUA)∩B={2,6},(CUA)∩(CUB)={4,7},则()A.A=1,8,B=2,6B.A={1,3,5,8},B={2,

题目详情

设全集U={x|x≤8,x∈N+},若A∩(CUB)={1,8},(CUA)∩B={2,6},(CUA)∩(CUB)={4,7},则(  )
A.A=1,8,B=2,6B.A={1,3,5,8},B={2,3,5,6}
C.A=1,8,B=2,3,5,6D.A=1,3,8,B=2,5,6
题型:单选题难度:中档来源:不详

答案

U={x|x≤8,x∈N+}={1,2,3,4,5,6,7,8}
∵A∩(CUB)={1,8},(CUA)∩B={2,6},(CUA)∩(CUB)={4,7},
∴集合的韦恩图为

360优课网

故A={1,3,5,8};B={2,3,5,6}
故选B.

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