(1)证明:
;
(2)设
,且
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542fc2233d11ffe12dcb55249339f062.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7dec5f5ef4a53175966c1704ad8a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1a2cbcc1fb41a01668f1808267df4d.png)
更新时间:2021-03-05 20:52:03
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解答题-问答题
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较易
(0.85)
名校
【推荐1】对于函数
,若对任意
,均有
,则称此函数为下凸函数,试证明函数
是下凸函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cf3765e5650555113994da8771e3e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc1bc250c8a6523a1be394ff48d4a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a7901661c71b40b5601ad0c0f6dacc.png)
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您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
名校
【推荐2】已知
,
,
.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132bc768c61ab195768601a0be02222a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96187825b08503f8e22b1bf92309d422.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28672906da4643fcb5c187bc6ffde60c.png)
您最近一年使用:0次