已知实数
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aefc011b19c6a004e1fbee70f5da701.png)
![](https://img.xkw.com/dksih/QBM/2016/5/26/1572653139484672/1572653145137152/STEM/f36545ad659044e095d732d6d1e46283.png)
更新时间:2016-12-04 07:53:55
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【知识点】 基本不等式(均值定理)
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解答题-证明题
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适中
(0.65)
名校
解题方法
【推荐1】已知
,当
时,不等式
成立.
(1)求
的最大值;
(2)设正数
,
的和恰好等于
的最大值,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18822a123bc80412508a309ef5dd7159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c67ddd60c47e91783929c8bdf8ba8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16195724ab65f5ed0f378a14051ff5bd.png)
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