题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020906-84565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020906-43453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020906-62178.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020906-34624.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-30358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-25254.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-74025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-49753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-93985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-11395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-90781.png)
解析
试题分析:(Ⅰ)由题设有
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-99689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-24204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-74025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-49753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-93985.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020907-30358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-17889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020909-84842.png)
所以由题意有
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020909-39514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020909-85235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020909-84055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020910-67137.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-11395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020908-90781.png)
点评:不等式恒成立转化为求函数最值
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020902-19450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020902-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020902-19450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020902-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020903-69120.png)
(A) (B) (C) (D)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020850-15053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020851-94803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020851-11809.png)
(Ⅰ)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020851-11809.png)
(Ⅱ)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020851-11809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020851-11809.png)
(Ⅲ)试问:是否存在一条直线与曲线C同时切于两个不同点?如果存在,求出符合条件的所有直线方程;若不存在,说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-12480.png)
⑴若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-94381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-50310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-28522.png)
⑵若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-25109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020841-89803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020841-22033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-50310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020841-44328.png)
⑶当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020841-86049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-50310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020842-74878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020840-28522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020831-71415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020831-57467.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020831-31818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020831-22911.png)
(2)若当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020832-10514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020832-78444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020831-22911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020826-39101.png)
(1)求f(x)的极小值; (2)若a、b>0,求证:lna-lnb≥1-
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020827-21422.png)
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