已知abc=1,a/(ab+a+10+b/(bc+b+1)+c(ca+c+1)等于几?

问题描述:

已知abc=1,a/(ab+a+10+b/(bc+b+1)+c(ca+c+1)等于几?

a/(ab+a+1)=a/(ab+a+abc)=1/(b+1+bc),同理,b/(bc+b+1)不变,c/(ac+c+1)=(bc)/(abc+bc+b)=(bc)/(bc+b+1),则这三个的和正好等于1.