解答题-证明题 较难0.4 引用1 组卷363
已知函数
,
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,求证:
在
上为增函数;
(3)若
在区间
上有且只有一个极值点,求
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/d91a5be9a83948cfa622e607964d9e2b.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/892890cf091a4665a61733f322f9dc09.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/b1aa970af10c47f3badeaa3a7c9cb164.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/222ae947ccc640fdb2ab132ff29f8556.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/945d2c8987f64e7192d32ccd20c8576c.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/b6228f0395ee4c0099f7621ced8bd28e.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/10bd750131624df6b6e4201b69519f5a.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/19d920f8af534a8b83fb2a67a34d4e69.png)
(3)若
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/10bd750131624df6b6e4201b69519f5a.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/889e5b0dbe7a4942ada522b6b78117a8.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572477603610624/1572477609836544/STEM/19a6ae18860c4e908fa00614f78b5618.png)
15-16高二上·青海海东·期末
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