a+b+c=10,且1/(a+1)+1/(b+c)+1/(a+c)=14/17,求c/(a+b)+a/(b+c)+b/(c+a)的值-百谷歌

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c/(a+b)+a/(b+c)+b/(c+a)=[10-（a+b）]/(a+b)+[10-(b+c)]/(b+c)+[10-(c+a)]/(c+a)=10/(a+1)+10/(b+c)+10/(a+c)-3=10[1/(a+1)+1/(b+c)+1/(a+c)]-3=140/17-3=89/17