已知复数z=(-1+3i)*(1-i)-(1+3i),w=z=ai(a属于R),当|w/z|≤根号2时,求a的取值范围.

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已知复数z=(-1+3i)*(1-i)-(1+3i),w=z=ai(a属于R),当|w/z|≤根号2时,求a的取值范围.已知复数z=(-1+3i)*(1-i)-(1+3i),w=z=ai(a属于R),

已知复数z=(-1+3i)*(1-i)-(1+3i),w=z=ai(a属于R),当|w/z|≤根号2时,求a的取值范围.
已知复数z=(-1+3i)*(1-i)-(1+3i),w=z=ai(a属于R),当|w/z|≤根号2时,求a的取值范围.

已知复数z=(-1+3i)*(1-i)-(1+3i),w=z=ai(a属于R),当|w/z|≤根号2时,求a的取值范围.
z=(-1+3i)*(1-i)-(1+3i)=2+4i
|z|=√20=2√5
|w|=|a|
|w/z|=|Z|/|w|=2√5/|a|≤√2
|a|≥√10 且a不为0
-√10≤ a ≤√10且a不为0