题目内容
已知:
=
,
=
,
=
,则
=______.
| ab |
| a+b |
| 1 |
| 24 |
| bc |
| b+c |
| 1 |
| 36 |
| ac |
| a+c |
| 1 |
| 44 |
| abc |
| ab+bc+ca |
∵
=
,
=
,
=
,
∴
=24,
=36,
=44,
∴
+
=24,
+
=36,
+
=44,
∴2(
+
+
)=104,
∴
+
+
=52,
∴
=
+
+
=52,
∴
=
.
故答案为:
.
| ab |
| a+b |
| 1 |
| 24 |
| bc |
| b+c |
| 1 |
| 36 |
| ac |
| a+c |
| 1 |
| 44 |
∴
| a+b |
| ab |
| b+c |
| bc |
| a+c |
| ac |
∴
| 1 |
| a |
| 1 |
| b |
| 1 |
| b |
| 1 |
| c |
| 1 |
| c |
| 1 |
| a |
∴2(
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
∴
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
∴
| ab+bc+ac |
| abc |
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
∴
| abc |
| ab+bc+ca |
| 1 |
| 52 |
故答案为:
| 1 |
| 52 |
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