Question

已知复数z=x+yi(x,y∈R),满足│z│=1,求复数│z-1-i│的取值范围

Answer 1

3-2√2

=(√2)^2-2×1×√2+1

=(√2-1)^2

3+2√2

=(√2)^2+2×1×√2+1

=(√2+1)^2