已知,xy/(x+y)=1,zy/(z+y)=2,zx/(x+z)=3,球x=?

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已知,xy/(x+y)=1,zy/(z+y)=2,zx/(x+z)=3,球x=?已知,xy/(x+y)=1,zy/(z+y)=2,zx/(x+z)=3,球x=?已知,xy/(x+y)=1,zy/(z+

已知,xy/(x+y)=1,zy/(z+y)=2,zx/(x+z)=3,球x=?
已知,xy/(x+y)=1,zy/(z+y)=2,zx/(x+z)=3,球x=?

已知,xy/(x+y)=1,zy/(z+y)=2,zx/(x+z)=3,球x=?
(xy)/(x+y)=1,则:(x+y)/(xy)=1,即1/x+1/y=1.同理,有:1/y+1/z=1/2,1/z+1/x=1/3,三个方程相加,得:2(1/x+1/y+1/z)=1+1/2+1/3=11/6,则1/x+1/y+1/z=11/12,因1/y+1/z=1/2,则1/x=5/12,则x=12/5