设abc=1,化简a/(ab+a+1)+b/(bc+b+1)+c/(ca+c+1)

设abc=1,化简a/(ab+a+1)+b/(bc+b+1)+c/(ca+c+1)
设abc=1,化简a/(ab+a+1)+b/(bc+b+1)+c/(ca+c+1)

设abc=1,化简a/(ab+a+1)+b/(bc+b+1)+c/(ca+c+1)
a/(ab+a+1)+b/(bc+b+1)+c/(ca+c+1)
=a/(ab+a+abc)+b/(bc+b+1)+bc/(cba+bc+b)
=1/(b+1+bc)+b/(bc+b+1)+bc/(1+bc+b)
=(1+b+bc)/(1+b+bc)
=1

不明白,可以追问
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