题目内容
若
=
=
,则a:b:c=______.
| a |
| b+c |
| b |
| c+a |
| a+c |
| a+b+2c |
∵
=
=
,
∴
=
,
∴b=c,
∴
=
,
∴
•
=
,
即(
)2+
-2=0,
解得
=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.
| 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+
|
即(
| a |
| b |
| a |
| b |
解得
| a |
| b |
故a:b:c=1:1:1或-2:1:1.
故答案为:1:1:1或-2:1:1.
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