“例:若ab=1 求代数式a/(a+1)+b/(b+1)的值 ∵ab=1,∴a/(a+1)=ab/(a+1)/b=ab/(ab+b)=1/(b+1)∴原式=1/(b+1)+b/(b+1)=1.”仿造上题的过程解答下题:若abc=1,求代数式a/(ab+a+1)+b/(bc+b+1)+c/(ac+c+1).

问题描述:

“例:若ab=1 求代数式a/(a+1)+b/(b+1)的值 ∵ab=1,∴a/(a+1)=ab/(a+1)/b=ab/(ab+b)=1/(b+1)
∴原式=1/(b+1)+b/(b+1)=1.”仿造上题的过程解答下题:若abc=1,求代数式a/(ab+a+1)+b/(bc+b+1)+c/(ac+c+1).