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【题目】设a,b∈R,i是虚数单位,则“ab=0”是“复数a-bi为纯虚数”的

A.充分不必要条件 B.必要不充分条件

C.充分必要条件 D.即不充分也不必要条件

【答案】B

解析ab=0时,a=0或b=0,复数a-bi为纯虚数时,a=0且b≠0,那么“ab=0”是“复数a-bi为纯虚数”的必要不充分条件,故选B.

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