已知函数
,
的导函数为
,且满足
,
,则
在
处的切线为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22007fec4092827545087b03a0191ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8abd06888bfff177ba57f2402350693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150e8e4ca6aa729a72a6a17c36b8ebfe.png)
更新时间:2018-04-11 19:26:33
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适中
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【推荐1】已知函数
,则下列说法中,所有正确的序号是__________
①当
时,
在
单调递增;
②当
时,
在
处的切线为x轴:
③当
时,
在
存在唯一极小值点
;
④当
时
在
一定存在零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1741b50a91874d2ec1fbf2802fca5300.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eabe45e9d445494c77227fc85d43cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eabe45e9d445494c77227fc85d43cb1.png)
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【推荐2】已知函数
对任意的
都有
,则曲线
在
处的切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26305ef9db10318a531a50dc51620edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9b4ac1458224ff0cd58a9118a725c4.png)
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解题方法
【推荐1】
在
上恒为单调递增函数,则实数
的取值范围________ .
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572029163216896/1572029169033216/STEM/cad33b0821ab40de8eb9a75a51f02ffc.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572029163216896/1572029169033216/STEM/109458f39974442a9bbbd04d3427747f.png?resizew=61)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】著名科学家牛顿用“作切线”的方法求函数的零点时,给出了“牛顿数列”,它在航空航天中应用广泛.其定义是:对于函数
,若数列
满足
,则称数列
为牛顿数列,若函数
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba575e10db2275e9b81fb8a892850892.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c948846c87e4fb05ae7898d277392b62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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