答: z=(3-4i)/(1+2i) =(3-4i)(1-2i)/[(1-2i)(1+2i)] =(3-6i-4i-8)/(1+4) =(-5-10i)/5 =-1-2i Z是z的共轭复数,则Z=-1+2I 所以: |Z|=|-1+2i|=√5,2,