x.y.z三个数满足xy/x+y=-2.yz/y+z=4/3,zx/z+x=负的4/3求xyz/xy+xz+yz
人气:280 ℃ 时间:2019-08-20 23:05:40
解答
xy/(x+y)=-2 ,yz/(y+z)=4/3 ,zx/(z+x)=-4/3
(x+y)/xy=-1/2,
即:1/x+1/y= -1/2
同理:1/y+1/z=3/4 ,1/z+1/x=-3/4
三式相加得:1/x+1/y+1/z= -1/4
即(xy+yz+zx)/(xyz)=-1/4
∴xyz/(xy+xz+yz) =-4
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