设全集U={1,2,3,4,5,6},设集合P={1,2,3,4},Q={3,4,5},则P∩(CUQ)=()A.{1,2,3,4,6}B.{1,2,3,4,5}C.{1,2,5}D.{1,2}
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设全集U={1,2,3,4,5,6},设集合P={1,2,3,4},Q={3,4,5},则P∩(CUQ)=()A.{1,2,3,4,6}B.{1,2,3,4,5}C.{1,2,5}D.{1,2}
设全集U={1,2,3,4,5,6},设集合P={1,2,3,4},Q={3,4,5},则P∩(CUQ)=()
A.{1,2,3,4,6}B.{1,2,3,4,5}C.{1,2,5}D.{1,2}
设全集U={1,2,3,4,5,6},设集合P={1,2,3,4},Q={3,4,5},则P∩(CUQ)=()A.{1,2,3,4,6}B.{1,2,3,4,5}C.{1,2,5}D.{1,2}
分析:
由题意,可先由已知条件求出CUQ,然后由交集的定义求出P∩(CUQ)即可得到正确选项
∵U={1,2,3,4,5,6},Q={3,4,5},
∴CUQ={1,2,6},又P={1,2,3,4},
∴P∩(CUQ)={1,2}
故选D
点评:
本题考查交、并、补的运算,解题的关键是熟练掌握交、并、补的运算规则,准确计算
因为CuQ={1,2,6}且P={1,2,3,4}
所以P∩(CuQ)={1,2}
由题可知CuQ={1,2,6}所以P∩(CuQ)={1,2}
CuQ={1,2,6}
P∩(CuQ)={1,2}
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