x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?

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x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?x/(y+z)

x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?
x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?

x/(y+z)=y/(x+z)=z/(x+y)=k,求k的值?
x/(y+z)=y/(x+z)=z/(x+y)=k
x=k(y+z)
y=k(x+z)
z=k(x+y)
x+y+z=k(2x+2y2+z)=2k(x+y+z)
当x+y+z0时 k=1/2
当x+y+z=0时 k为一切实数

1/2 或是0.5。 思路:假设x=y=z=1