计算x/(y+z)=y/(x+y+1)=z/(x+y-1)的值

问题描述:

计算x/(y+z)=y/(x+y+1)=z/(x+y-1)的值
同上.
说得清楚详细些,千万千万不要跳步骤,反正要让我看得懂.
答案上是1/2和-1
好象要分类讨论的,什么当x+y+z=0时,x+y+z≠0时,

设x/(y+z)=y/(x+y+1)=z/(x+y-1)=k则有x=k(y+z)y=k(x+y+1)z=k(x+y-1)三式相加得(x+y+z)=2k(x+y+z)所以 k=1/2也就是x/(y+z)=y/(x+y+1)=z/(x+y-1)=k=1/2 我考虑到这一点了,不好意思没写.补充如下:当x+y+z=0时,y+z=-x...