问题
选择题
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}
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.
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}
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.