设全集U={1,2,3,4,5,6,7,8,9},A={2,3,5,7,8},B={1,2,4,7},则(C∪A)∩(C∪B)=________.

发布时间:2020-08-05 09:43:58

设全集U={1,2,3,4,5,6,7,8,9},A={2,3,5,7,8},B={1,2,4,7},则(C∪A)∩(C∪B)=________.

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{6,9}

解析分析:由已知,先求出C∪A、C∪B,再求(C∪A)∩(C∪B).

解答:∵全集U={1,2,3,4,5,6,7,8,9},
集合A={2,3,5,7,8},B={1,2,4,7},
∴C∪A={1,4,6,9},C∪B={3,5,6,8,9},
∴(C∪A)∩(C∪B)={6,9}.
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