已知函数
.
(1)设
,若曲线
在
处的切线很过定点
,求
的坐标;
(2)设
为
的导函数,当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51b45c6ae148fd6ee91b3cd79050726.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b36efac8085941d00a4661b6edbe15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5a90aeba435af22d6bcdb7b91650b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add5306669c9d9b0964bfc057db36a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d662c66185cf34dce361d3f16d6e3161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2018-01-19 09:50:33
|
相似题推荐
解答题-问答题
|
较难
(0.4)
解题方法
【推荐1】已知函数
.
(1)当
时,求函数
的极值;
(2)若曲线
在
上任意一点处切线的倾斜角均为钝角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f77fc52c508c73f36ce16d9f124f846.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a8449e8bb253065463c23f3ff5860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题
|
较难
(0.4)
名校
【推荐2】已知
.
(1)曲线
在点
处的切线的斜率小于
,求
的单调区间;
(2)对任意的
,函数
在区间
上为增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ac5e9f60da9f377fa140a2c246731e.png)
(1)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8914269ade8c15e97352a32de9aa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c87c86ea8d17b94fd992f324dd88b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fc77bc10fa2a7537ec5ff1211139fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ed0edaebe95e5347b44806e166d0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解答题-证明题
|
较难
(0.4)
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd0596ce63334451b6bbccd9dc286ce.png)
(1)若曲线
在
处的切线过
,求
的值;
(2)求证:当
时,不等式
在
上恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd0596ce63334451b6bbccd9dc286ce.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ffcc01616043a2077c48a3dec321b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdb24d1fe197865380897446b63b82c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32d63f39e06d965370a54456d8707e5.png)
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解答题-问答题
|
较难
(0.4)
【推荐2】已知函数
,共中
.
(1)求
的单调区间;
(2)是否存在
,使得
对任意
恒成立?若存在,请求出
的最大值;若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcea74d330997ee9c92a223c0335851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c338b3c8b8f95eae5cbed156f35292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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