问题 填空题
a
b+c
=
b
c+a
=
a+c
a+b+2c
,则a:b:c=______.
答案

a
b+c
=
b
c+a
=
a+c
a+b+2c

a+b
a+b+2c
=
a+c
a+b+2c

∴b=c,

a
2b
=
b
b+a

1
2
a
b
=
1
1+
a
b

(

a
b
)2+
a
b
-2=0,

解得

a
b
=1或-2.

故a:b:c=1:1:1或-2:1:1.

故答案为:1:1:1或-2:1:1.

问答题 简答题
填空题 简答题