题干
设a,b,c为正实数,且满足abc=1,试证明:
+
+
≥
.
| 1 |
| a |
| 3 |
| ( |
| b |
| + |
| c |
| ) |
| 1 |
| b |
| 3 |
| ( |
| a |
| + |
| c |
| ) |
| 1 |
| c |
| 3 |
| ( |
| a |
| + |
| b |
| ) |
| 3 |
| 2 |
答案(点此获取答案解析）
解：由abc=1,得
=
| 1 |
| a |
| 3 |
| ( |
| b |
| + |
| c |
| ) |
