已知三个数x y z 满足 xy/x+y=-2,yx/y+x=4/3,zx/z+x=-4/3,则xyz/xy+xz+yz=
人气:298 ℃ 时间:2019-08-19 22:39:08
解答
题目有问题,yx/(y+x)=4/3应该是yz/(y+z)=4/3xy/(x+y)=-2(x+y)/(xy)=-1/21/x +1/y=- 1/2 (1)yz/(y+z)=4/3(y+z)/(yz)=3/41/y +1/z=3/4 (2)zx/(z+x)=-4/3(z+x)/(zx)=-3/41/x +1/z=-3/4 (3)(1)+(2)+(3)2(1/x+ 1/y+ 1/z)=...不明白(x+y)/(xy)=-1/2 1/x +1/y=- 1/2 为什么两条算式的答案是一样的呢?这不是两条算式,而是等式的变形。(x+y)/(xy)=x/(xy) +y/(xy)=1/y +1/x1/x +1/y=-1/2
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