问题
填空题
已知复数Z满足(1+i)Z=-1,则复数Z=______.
答案
∵(1+i)z=-1,
∴z=
=-1 1+i -1×(1-i) (1+i)(1-i)
=
=--1+i 2
+1 2
i.1 2
故答案为:-
+1 2
i.1 2
已知复数Z满足(1+i)Z=-1,则复数Z=______.
∵(1+i)z=-1,
∴z=
=-1 1+i -1×(1-i) (1+i)(1-i)
=
=--1+i 2
+1 2
i.1 2
故答案为:-
+1 2
i.1 2