复数运算法则 Flashcards
1
Q
z=x+iy
1/z=?
A
(x-iy)/(x^2+y^2)
2
Q
z^2=t, t<0, z=?
A
i(-t)^0.5, -i(-t)^0.5
3
Q
z=x+iy
OM=|z|=?
A
(x^2+y^2)^0.5
4
Q
z=x+iy
z^2=a+ib b|=0
z=?
A
x^2-y^2=a
x^2+y^2=(a^2+b^2)^0.5
2xy=b
5
Q
z=|z|(cosθ+isinθ)
zz’=?
A
|z||z’|(cos(α+β)+isin(α+β))
6
Q
|zz’|=?
A
|z||z’|
7
Q
|z+z’|<=?
A
|z|+|z’|
8
Q
|z^n|=?
A
|z|^n
9
Q
|z/z’|=?
A
|z|/|z’|
10
Q
arg(zz’)=?
A
arg(z)+arg(z’)+2kπ
11
Q
arg(z^n)=?
A
narg(z)+2kπ
12
Q
arg(z/z’)=?
A
arg(z)-arg(z’)+2kπ
13
Q
e^iθ=?
A
cosθ+isinθ θ=R
14
Q
z=? θ=R
A
re^iθ r>0
15
Q
|e^iθ|=?
A
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