定义集合运算:A⊙B={z|z=xy(x+y),x∈A,y∈B},设集合A={0,1},B=(2,3),

定义集合运算:A⊙B={z|z=xy(x+y),x∈A,y∈B},设集合A={0,1},B=(2,3),则集合A⊙B的所有元素之和为(    )

A.0                B.6                    C.12                    D.18

答案

解析:取x=0时,z=0,

    取x=1时,z=6或12,

    ∴A⊙B={0,6,12},

    ∴所求A⊙B的元素之和为18,选D.

答案:D

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