已知集合A={0,1,2,3,4},集合B={x|x=2n,n∈A},则A∩B=()A.{0}B.{0,4}C.{2,4}D.{0,2,4}-数学

题目简介

已知集合A={0,1,2,3,4},集合B={x|x=2n,n∈A},则A∩B=()A.{0}B.{0,4}C.{2,4}D.{0,2,4}-数学

题目详情

已知集合A={0,1,2,3,4},集合B={x|x=2n,n∈A},则A∩B=(  )
A.{0}B.{0,4}C.{2,4}D.{0,2,4}
题型:单选题难度:中档来源:青岛一模

答案

因为集合A={0,1,2,3,4},所以集合B={x|x=2n,n∈A}={0,2,4,6,8},
所以A∩B={0,1,2,3,4}∩{0,2,4,6,8}={0,2,4}.
故选D.

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