问题
填空题
设复数z满足z•i=3+4i(i是虚数单位),则复数z的模为______.
答案
∵z•i=3+4i,
∴z=
=3+4i i (3+4i)i i•i
=
=4-3i,3i-4 -1
∴复数z的模|z|=
=542+(-3)2
故答案为:5
设复数z满足z•i=3+4i(i是虚数单位),则复数z的模为______.
∵z•i=3+4i,
∴z=
=3+4i i (3+4i)i i•i
=
=4-3i,3i-4 -1
∴复数z的模|z|=
=542+(-3)2
故答案为:5