设全集U={1,2,3,4,5,6,7,8},集合A={5,6,7,8},B={2,4,6,8},求A∩B,CUA和CUB.

问题描述:

设全集U={1,2,3,4,5,6,7,8},集合A={5,6,7,8},B={2,4,6,8},求A∩B,CUA和CUB.

∵全集U={1,2,3,4,5,6,7,8},集合A={5,6,7,8},B={2,4,6,8},
∴A∩B={6,8},CUA={1,2,3,4},CUB={1,3,5,7}.
答案解析:找出A与B的公共元素,确定出两集合的交集,由全集U,找出不属于A的元素,确定出A的补集,找出不属于B的部分,确定出B的补集即可.
考试点:交、并、补集的混合运算.
知识点:此题考查了交、并、补集的混合运算,熟练掌握交、并、补集的定义是解本题的关键.