((a-i)/(1+i))^2=-2+bi,那么实数a,b的值分别为
问题描述:
((a-i)/(1+i))^2=-2+bi,那么实数a,b的值分别为
答
((a-i)/(1+i))^2=[(a-i)(1-i)/(1+i)(1-i) )] ^2 分母有理化=[-4a-2(a^2-1)i]/4 i^2=-1=-a-[(a^2-1)/2]i而((a-i)/(1+i))^2=-2+bi则有:-a = -2 对应系数相等,还有常数项相等-[(a^2-1)/2] = b解得:a=2b=...