题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-13868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-81856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-87286.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-54292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-50788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-21172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
(Ⅱ)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-84797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-24902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-99498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-60872.png)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-37402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-60938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-84817.png)
且由已知得:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-93953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-93392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-27224.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-28481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-67352.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-59184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-65558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-24902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-88382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-46779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-61704.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-20070.png)
(Ⅲ)存在 ........................(7分)
理由如下: 方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-60938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-54292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-51598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-87748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-85080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-32984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120620-73925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120620-59896.png)
此时,函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120616-54292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-51598.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120620-36852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120620-55782.png)
列表如下:
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | 0 | ![]() | 0 | ![]() |
![]() | ![]() ![]() ![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120622-27867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120622-93466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120619-85080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120623-78655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120623-16249.png)
综上:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120623-40245.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120623-40360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120623-26319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120617-35538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120623-26319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120618-60938.png)
解析
核心考点
试题【已知函数,.(Ⅰ)若函数的图象在处的切线与直线平行,求实数的值;(Ⅱ)设函数,对满足的一切的值,都有成立,求实数的取值范围;(Ⅲ)当时,请问:是否存在整数的值,】;主要考察你对函数的单调性与导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120557-46392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-51303.png)
(Ⅰ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-79238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-66335.png)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-31729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-27251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-81374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120559-53510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120559-97792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120558-31729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120559-45037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120544-54097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120545-82841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120545-65386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120545-74665.png)
(1)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120545-64945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120545-38391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120546-60156.png)
(2)在(1)的条件下,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120546-60156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120546-14248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120546-61415.png)
(3)求证:对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120546-89205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120547-60948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120540-30538.png)
A.![]() | B.![]() | C.![]() | D.(0,2) |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120520-20882.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120520-75713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120521-34384.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120521-25326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120521-88090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120521-20705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120521-51706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120521-77867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120522-39919.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120522-78192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120522-27021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120522-58516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120523-83150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018120514-32037.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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