题目内容
设a,b∈R+,a+2b=3,则
+
最小值是______.
| 1 |
| a |
| 1 |
| b |
∵
+
=
(a+2b)(
+
)=
(3+
+
)
≥
×2
+1
∴
+
最小值是1+
故答案为:1+
.
| 1 |
| a |
| 1 |
| b |
| 1 |
| 3 |
| 1 |
| a |
| 1 |
| b |
| 1 |
| 3 |
| 2b |
| a |
| a |
| b |
≥
| 1 |
| 3 |
| 2 |
∴
| 1 |
| a |
| 1 |
| b |
2
| ||
| 3 |
故答案为:1+
2
| ||
| 3 |
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