已知a+b/c=a+c/b=b+c/a=k,则k的值是_.
问题描述:
已知
=a+b c
=a+c b
=k,则k的值是______. b+c a
答
①a+b+c≠0时,
∵
=a+b c
=a+c b
=k,b+c a
∴
= k,a+b+a+c+b+c c+b+a
∴k=2.
②a+b+c=0时,a+b=-c
∴k=-1
故答案为:2或-1.