Question

化簡(jiǎn)

3-4i

4+3i

=

-i

．

Answer 1

分析：將

3-4i

4+3i

的分子分母同乘分母的共軛復(fù)數(shù)，分母實(shí)數(shù)化即可．

解答：解：∵

3-4i

4+3i

=

(3-4i)(4-3i)

(4+3i)(4-3i)

=

-25i

25

=-i．
故答案為：-i．

點(diǎn)評(píng)：本題考查復(fù)數(shù)代數(shù)形式的乘除運(yùn)算，關(guān)鍵在于分母實(shí)數(shù)化，方法是分子分母同乘分母的共軛復(fù)數(shù)，屬于基礎(chǔ)題．