复数的Z=1i?1模为______

复数的Z=1i?1模为______.
2024-11-25 14:25:38
推荐回答(1个)
回答1:

∵Z=

1
i?1
=
?1?i
(?1+i)(?1?i)
?1?i
2
=?
1
2
?
1
2
i

∴复数Z=
1
i?1
的模为
(?
1
2
)2+(?
1
2
)2
=
2
2

故答案为:
2
2