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数学
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若复数a+3i/1+2i(a属于R,i为虚数单位)是纯虚数,则a的值为
人气:256 ℃ 时间:2019-11-04 13:35:58
解答
(a+3i)/(1+2i)
=(a+3i)(1-2i)/[(1+2i)(1-2i)]
=(a-2ai+3i+6)/(1+4)
=[a+6+(3-2a)i]/5
因为复数a+3i/1+2i(a属于R,i为虚数单位)是纯虚数,
所以a+6=0
3-2a≠0
解得a=-6
答案:a=-6非常感谢!不客气选为满意回答吧
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