解题方法
1 . 已知函数
的定义域为(0,+∞);
(1)若
;
①求曲线
在点(1,0)处的切线方程;
②求函数
的单调减区间和极小值;
(2)若对任意
,函数
在区间(a,b]上均无最小值,且对于任意
,当
时,都有
,求证:当
时,
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
①求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
②求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a34ebd691809debd65573b607068f08.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383a70d2cb5e4f0faa244967f3b359b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81061b8ba2253a8650baa321163c7cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05527d21914e91e6ce6b8db0f5c1d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac0c4f74d16d30a8799b03b41460cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb4beec99ba34bfecf6b25c43036ced.png)
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