把ZA化成三角式,ZA=√5(cosθ+sinθi),
cosθ=1/√5,sinθ=2/√5,
B点相对A点旋转±45度,|OB|=√10,
ZB=√10[cos(θ+π/4)+sin(θ+π/4)i]
=-1+3i,
或者:ZB=√10[cos(θ-π/4)+sin(θ-π/4)i]
=3+i,
C点相对A旋转±90度,|OC|=√5,
ZC=√5[cos(θ+π/2)+sin(θ+π/2)i]
=√5[-sinθ+cosθi)
=-2+i,
或者:ZC=√5[cos(θ-π/2)+sin(θ-π/2)i]
ZC=√5[sinθ-cosθi]
=2-i.