若x+y+z不等于0 且 2y+z/x=2x+y/z=2z+x/y=k
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若x+y+z不等于0 且 2y+z/x=2x+y/z=2z+x/y=k
若x+y+z不等于0 且 2y+z/x=2x+y/z=2z+x/y=k
若x+y+z不等于0 且 2y+z/x=2x+y/z=2z+x/y=k
2y+z/x=2x+y/z=2z+x/y=k
∴2y+z=kx
2x+y=kz
2z+x=ky
三式相加:
3(x+y+z)=k(x+y+z)
∵x+y+z≠0
∴k=3
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