问题
选择题
定义集合运算:A⊗B={z|z=xy,x∈A,y∈B}.设A={0,2},B={x|x2-3x+2=0},则A⊗B=( )
A.{0,-2,-4}
B.{0,2,-4}
C.{0,2,4}
D.{0,1,2}
答案
A={0,2},B={1,2},
x=0,2
y=1,2
∴z的取值有:0×1=0,0×2=0,2×1=2,2×2=4
∴A⊗B={0,2,4},
故选C.
定义集合运算:A⊗B={z|z=xy,x∈A,y∈B}.设A={0,2},B={x|x2-3x+2=0},则A⊗B=( )
A.{0,-2,-4}
B.{0,2,-4}
C.{0,2,4}
D.{0,1,2}
A={0,2},B={1,2},
x=0,2
y=1,2
∴z的取值有:0×1=0,0×2=0,2×1=2,2×2=4
∴A⊗B={0,2,4},
故选C.