古詩詞大全網 - 字典詞典 - 已知全集U={1,2,3,4,5,6,7,8,9,10},集合A,B為U的子集,且A∩(?UB)={1,4,7},(?UA)∩B={

已知全集U={1,2,3,4,5,6,7,8,9,10},集合A,B為U的子集,且A∩(?UB)={1,4,7},(?UA)∩B={

∵A∩(?UB)={1,4,7},

∴1,4,7∈A,

∵(?UA)∩B={2,3},∴2,3∈B,

∵(?UA)∩(?UB)={6,8,9,10},

∴A∩B={5},

則A={1,4,5,7}

故答案為:{1,4,5,7}