已知z分之（x+y）=x分之（y+z）=y分之（x+z）=k,（x+y+z≠0）.求(x+y+z)分之(x+y-z)的值.要具体过_数学解答

已知z分之（x+y）=x分之（y+z）=y分之（x+z）=k,（x+y+z≠0）.求(x+y+z)分之(x+y-z)的值.要具体过程!

人气：333 ℃　时间：2020-05-22 00:14:15

解答

(x+y）/z =（y+z）/x = （x+z）/y = k ==> (x+y) = kz
(x+y-z)/(x+y+z)
=(kz-z)/(kz+z)
=(k-1)/(k+1)