(5分)(2011•湖北)已知U={1,2,3,4,5,6,7,8},A={1,3,5,7},B={2,4,5}则∁U(A∪B)()A.{6,8}B.{5,7}C.{4,6,7}D.{1,3,5,6,

题目简介

(5分)(2011•湖北)已知U={1,2,3,4,5,6,7,8},A={1,3,5,7},B={2,4,5}则∁U(A∪B)()A.{6,8}B.{5,7}C.{4,6,7}D.{1,3,5,6,

题目详情

(5分)(2011•湖北)已知U={1,2,3,4,5,6,7,8},A={1,3,5,7},B={2,4,5}则∁U(A∪B)(          )
A.{6,8}    B.{5,7}    C.{4,6,7}    D.{1,3,5,6,8}
题型:单选题难度:偏易来源:不详

答案

A

试题分析:由已知中U={1,2,3,4,5,6,7,8},A={1,3,5,7},B={2,4,5},我们根据集合并集的运算法则求出A∪B,再利用集合补集的运算法则即可得到答案.
解:∵U={1,2,3,4,5,6,7,8},A={1,3,5,7},B={2,4,5}
∴A∪B={1,2,3,4,5,7},
∴Cu(A∪B)={6,8}
故选A
点评:本题考查的知识点是集合补集及其运算,集合并集及其运算,属于简单题型,处理时要“求稳不求快”

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