问题
填空题
若复数z满足:z+
|
答案
设z=x+yi,x,y∈R,∵复数z满足:z+
=2,z•. z
=2,. z
∴2x=2,x2+y2=2,∴x=1,y=±1.
∴z-
=±2i,∴|z-. z
|=2.. z
故答案为:2.
若复数z满足:z+
|
设z=x+yi,x,y∈R,∵复数z满足:z+
=2,z•. z
=2,. z
∴2x=2,x2+y2=2,∴x=1,y=±1.
∴z-
=±2i,∴|z-. z
|=2.. z
故答案为:2.