题目内容
若复数z满足:z+
=2,z•
=2,则|z-
|=______.
| . |
| z |
| . |
| z |
| . |
| z |
设z=x+yi,x,y∈R,∵复数z满足:z+
=2,z•
=2,
∴2x=2,x2+y2=2,∴x=1,y=±1.
∴z-
=±2i,∴|z-
|=2.
故答案为:2.
| . |
| z |
| . |
| z |
∴2x=2,x2+y2=2,∴x=1,y=±1.
∴z-
| . |
| z |
| . |
| z |
故答案为:2.
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