解题方法
1 . (重点班)我们知道对数函数
,对任意
,都有
成立,若
,则当
时,
.参照对数函数的性质,研究下题:定义在
上的函数
对任意
,都有
,并且当且仅当
时,
成立.
(1)设
,求证:
;
(2)设
,若
,比较
与
的大小.
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/b5942922aeb24620a1c49b7605cf0bfb.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/0934a030347c48c3880c29572b64814e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/2b0a82bdaf4b4268ba7930ead03210c4.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/33b03ed2a5bf44c39bdec82731a58261.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/f6585ab9bcf94bc38252246ae3bc5f15.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/37a99ef913544ae39830cb203c13f4c3.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/67a7718dfb4e493b98483b3d7f231a9d.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/507953f2fdc743a89067d93287d5f8bb.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/71e79fa76ec44c82b2472d7ca54f98dc.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/2b0a82bdaf4b4268ba7930ead03210c4.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/f6585ab9bcf94bc38252246ae3bc5f15.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/37a99ef913544ae39830cb203c13f4c3.png)
(1)设
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/71e79fa76ec44c82b2472d7ca54f98dc.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/ccad5d094f9545dab2cef638fba6b54d.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/62f413e2b7714b38a5ca6365eab88291.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/b7f37f360ce1479e88076ccd8f6e9265.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/28e06482f512446c99a3728a6a0ad86e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/548602ce8fe74687a860f37a27d686e0.png)
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2016-12-05更新
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193次组卷
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2卷引用:2016-2017学年甘肃武威一中高一上学期阶段考一数学试卷