Question

i是虛數(shù)單位，復(fù)數(shù)

1-3i

1-i

=

2-i

．

Answer 1

分析：把給出的復(fù)數(shù)分子分母同時(shí)乘以1+i，展開后整理即可．

解答：解：

1-3i

1-i

=

(1-3i)(1+i)

(1-i)(1+i)

=

4-2i

2

=2-i．
故答案為2-i．

點(diǎn)評：本題考查了復(fù)數(shù)代數(shù)形式的乘除運(yùn)算，復(fù)數(shù)的除法采用分子分母同時(shí)乘以分母的共軛復(fù)數(shù)，此題是基礎(chǔ)題．