(1+1/i)^2+2i 计算

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(1+1/i)^2+2i 计算

(1+1/i)^2+2i 计算
(1+1/i)^2+2i 计算

(1+1/i)^2+2i 计算
(1+1/i)^2+2i=(1--i)^2+2i
=1--2i+i^2+2i
=1+i^2
=1--1
=0.

i^2=-1
1/i=-i
(1+1/i)^2+2i
=(1-i)^2+2i
=1-2i+i^2+2i
=1-2i-1+2i=0

i²=-1
则:
(1+1/i)²+2i
=(1-i)²+2i
=1-2i+i²+2i
=1-2i-1+2i
=0