已知复数Z1=m-3i,Z2=-1+2mi,且I z1+z2 I=根号2,求实数m?
问题描述:
已知复数Z1=m-3i,Z2=-1+2mi,且I z1+z2 I=根号2,求实数m?
答
| (m-3i)+(-1+2mi) | = √2,| (m-1)+(2m-3)i) | = √2,(m-1)+(2m-3)=2,m-2m+1+4m-12m+9=2,5m-14m+8=0,m= 2,4/5