已知函数
.
(1)求
的值;
(2)求证:
,
,
三个数至少有一个不小于2.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e165965f16fa180a49c024f2977df6bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a461f87a3e96b374c1a6ecd831c5b11.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2c267eee6151e1fb721afcec781311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06edc3a74f24df928700cb03080662ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94afaacb3e423336ae85e7da73333fb9.png)
更新时间:2021-11-30 17:01:14
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【推荐1】已知函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
【推荐2】已知函数
的定义域为
,当
时,
,且对一切
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3e1e248aef013c04f927d442f80997.png)
(1)求
的值;
(2)判断并证明函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3e1e248aef013c04f927d442f80997.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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【推荐1】(1)已知
,用比较法证明
;
(2)已知
,用反证法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937559aeec06323cde8861b17024fc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be100015cff38b6dfba5080fa94d128.png)
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【推荐2】(1)设
,
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(2)用反证法证明:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf877c2f179cf4e47657882ee8fa14d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ecbb4dc189112b811b31483f2aa695.png)
(2)用反证法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557d2e3133709e7153c6177a52afc6e3.png)
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