题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023338-76306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023338-48566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-18001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-88434.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-65043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-42998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-55770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-58042.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-98080.png)
(3)试探究能否存在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-78708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-92752.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-38263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-81548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
解析
试题分析:(1)切点处的导数值,即为切线的斜率,根据
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-65043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-42998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-55770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-54390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-58042.png)
(2)遵循求导数、求驻点、讨论区间单调性、确定极值(最值);
(3)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-19472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-92709.png)
根据
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-18001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-26059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-18063.png)
重点讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
注意到其驻点为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-92785.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-73477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73196.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-38263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-81548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023344-86829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023344-45843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023344-21798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023344-48158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-65043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-42998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-55770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023344-48123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023345-91135.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023345-32940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023345-24430.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023345-39702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-92785.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-40941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-73477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-12864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-98080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-13843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-95985.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023347-45863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023347-59613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023347-54027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-98080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-13843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023347-55786.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023347-57694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023348-27264.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023348-34495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023348-50447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023348-55528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023349-97692.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023349-31995.png)
综上可知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023349-99918.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-19472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-92709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023344-48158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-18001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023349-17164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023350-24705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-18063.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023345-39702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-92785.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-73477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-40941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023350-25977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023349-97692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023350-25228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-18063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023350-17490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023351-89455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023348-50447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023351-12058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023349-97692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023343-18063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023346-13843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-81548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-38263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023342-81548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023340-19923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023339-74141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023341-73236.png)
核心考点
试题【已知函数,,其中,为自然对数的底数.(1)若在处的切线与直线垂直,求的值;(2)求在上的最小值;(3)试探究能否存在区间,使得和在区间上具有相同的单调性?若能存】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023332-91634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023332-73803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023332-58038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023332-23073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023332-15553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023333-87565.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023321-40319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023321-10297.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023317-73208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023317-49684.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023313-24242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023313-74090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023314-19156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-15611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-54670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-57805.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-44064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-11204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-44064.png)
(3)若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023304-26950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023303-44064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023304-23414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018023304-46713.png)
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