计算:(根号2/(1+i))^100+ (根号2/(1-i))^1000分
(根号2/(1+i))^100+ (根号2/(1-i))^100
人气:286 ℃ 时间:2020-04-14 00:23:28
解答
(1+i)^100=[(1+i)²]^50=(1+i²+2i)^50=[(2i)²]^25=-4^25=-(2²)^25=-2^50(1-i)^100=[(1-i)²]^50=(1+i²-2i)^50=[(-2i)²]^25=-4^25=-(2²)^25=-2^50(根号2/(1+i))^1...
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