已知函数.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50679d3dd15ca7feb4c434f34fed112.png)
(I)令
当
时,求曲线
在点
处的切线方程;
(II)若
,有
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50679d3dd15ca7feb4c434f34fed112.png)
(I)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df768f9a521aecc9e2ed236eb1963fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc630ca5c975409928554c10817a84f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38b839cd0d0decb9e3bb02c9a187078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f564ba1a8bd60e5eb8a541c8789d932.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75dcca13fcc65e2e14cb30ee39f43d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe0fe36a6cdf7ebf664cd3786bfd511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
更新时间:2019-04-01 22:38:12
|
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解答题-问答题
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较难
(0.4)
【推荐1】已知函数
.
(1)求曲线
在
处的切线方程;
(2)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c428102360ff4d98b9e5eb1ea204aa.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
您最近一年使用:0次
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较难
(0.4)
【推荐2】已知函数
,
.
(1)当
时,求函数
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处的切线方程;
(2)若函数
有两个零点
,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0045c08a748f4180ad63ad752fb0a1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐3】已知函数
.
(1)当
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处的切线方程;
(2)当
时,试讨论
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f90cf395a340be21f5fdfec98a61b3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790b46a94054fee60cbc4cd9e09ed5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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【推荐1】已知数列
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce97e30e9baa1f3c2017c9d81b7da19b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e0dbc392d7c83bae02488313b4676c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)是否存在首项为1,公比为q的等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b55ef1b79628633d81b4a6a70108a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e695ca26cf09a7327c6672ae07aabbbe.png)
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较难
(0.4)
解题方法
【推荐2】已知函数
,
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(1)比较
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(2)已知函数
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,证明:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa322b4cba07054bee70cb7befc37143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942bf6fc089e5e8b31f4705f8b46955f.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e56037bf226622cbbc904175d1bd5f3.png)
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(1)讨论函数
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(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302337058242c7b78e3eb4ac7210b7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73d768b36d9cd1bf79c5a95e5a04bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0332c53200cf39826b26fd21e713ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知函数
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(1)求函数f(x)的极值;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace2734632a45045f2d7258b1f259cb3.png)
(1)求函数f(x)的极值;
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