解 abc≠0(不然后面的额式子没有意义),且a+b+c=0。a^2/bc+b^2/ac+c^2/ab a+b+c=0 得c=-(a+b) a^2/bc+b^2/ac+c^2/ab =(a^3+b^3+c^3)/(abc) =-[a^3+b^3-(a+b)^3)/[ab(a+b)] =[3ab(a+b)]/[ab(a+b)] =3