已知a/x-y=b/y-z=c/z-x求a+b+c的值

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已知a/x-y=b/y-z=c/z-x求a+b+c的值已知a/x-y=b/y-z=c/z-x求a+b+c的值已知a/x-y=b/y-z=c/z-x求a+b+c的值令a/(x-y)=b/(y-z)=c/

已知a/x-y=b/y-z=c/z-x求a+b+c的值
已知a/x-y=b/y-z=c/z-x求a+b+c的值

已知a/x-y=b/y-z=c/z-x求a+b+c的值
令a/(x-y)=b/(y-z)=c/(z-x) = m
a=m(x-y)
b=m(y-z)
c=m(z-x)
a+b+c
=m(x-y)+m(y-z)+m(z-x)
=m(x-y+y-z+z-x)
=m*0
=0

令a/x-y=b/y-z=c/z-x=k
a=k(x-y)
b=k(y-z)
c=k(z-x)
a+b+c=0

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