若a/b+c=b/c+a=a+c/a+b+2c,求a:b:c的值.两天之内要!

若a/b+c=b/c+a=a+c/a+b+2c,求a:b:c的值.两天之内要!
若a/b+c=b/c+a=a+c/a+b+2c,求a:b:c的值.
两天之内要!

若a/b+c=b/c+a=a+c/a+b+2c,求a:b:c的值.两天之内要!
(a+c)/(a+b+2c)=a/(b+c)=b/(a+c)=(a+b)/[(b+c)+(a+c)]=(a+b)/(a+b+2c);得出b=c,代入比例式中:a/(b+b)=b/(a+b),解得a=b或a=-2b;所以a:b:c=1:1:1或=-2:1:1