已知2c/(a+b)=2a/(b+c)=2b/(a+c),求c/(a+b)的值

已知2c/(a+b)=2a/(b+c)=2b/(a+c),求c/(a+b)的值
已知2c/(a+b)=2a/(b+c)=2b/(a+c),求c/(a+b)的值

已知2c/(a+b)=2a/(b+c)=2b/(a+c),求c/(a+b)的值
令2c/(a+b)=2a/(b+c)=2b/(a+c）=k
则：c=(a+b)k ...1
b=(a+c)k ...2
a=(b+c)k ...3
使1+2+3 得
a+b+c=2(a+b+c)k
由a+b+c≠0知 ：k=1/2
所以c/(a+b)=k=1/2

由式子可知:
a=b=c..
所以c/(a+b)=c/2c=0.5

0.5
a=b=c

1/2