Question

设i为虚数单位，则复数1+i分之i等于?

帮我写详细过程哦,谢谢

Answer 1

^2 是2次方的意思也就是平方的意思
i/(1+i)
=i(1-i)/[(1+i)(1-i)]
=(i-i^2)/(1-i^2)
=(i+1)/2

Answer 2

i/(i+i)=i(i-i)/[(1+i)(1-i)]=(i-i^2)/(1-i^2)=1/2+i/2

Answer 3

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

Answer 4

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