已知a/x-y=b/y-z=c/z-x求a+b+c的值

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令春陆a/尘备(x-y)=b/派森毁(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

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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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