xyz不等于0,x+y+z=0a=x/(y+z)b=y/(z+x)c=z/(x+y)求 a/(a-1)+b/(b-1)+c/(c-1)的值
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![xyz不等于0,x+y+z=0a=x/(y+z)b=y/(z+x)c=z/(x+y)求 a/(a-1)+b/(b-1)+c/(c-1)的值](/uploads/image/z/8651867-59-7.jpg?t=xyz%E4%B8%8D%E7%AD%89%E4%BA%8E0%2Cx%2By%2Bz%3D0a%3Dx%2F%28y%2Bz%29b%3Dy%2F%28z%2Bx%29c%3Dz%2F%28x%2By%29%E6%B1%82+a%2F%28a-1%29%2Bb%2F%28b-1%29%2Bc%2F%28c-1%29%E7%9A%84%E5%80%BC)
xyz不等于0,x+y+z=0a=x/(y+z)b=y/(z+x)c=z/(x+y)求 a/(a-1)+b/(b-1)+c/(c-1)的值
xyz不等于0,x+y+z=0
a=x/(y+z)
b=y/(z+x)
c=z/(x+y)
求 a/(a-1)+b/(b-1)+c/(c-1)的值
xyz不等于0,x+y+z=0a=x/(y+z)b=y/(z+x)c=z/(x+y)求 a/(a-1)+b/(b-1)+c/(c-1)的值
由xyz不等于0,x+y+z=0得:
X+Y=-Z;Y+Z=-X;X+Z=-Y
即a=X/-X=-1;b=Y/-Y=-1;c=Z/-Z=-1
所以原式=-1/-2+-1/-2+-1/-2=3/2