题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065751-50433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065751-73189.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065751-23071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065751-52124.gif)
(Ⅰ)函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-93554.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-16380.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-80503.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-17021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-11927.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-64628.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-76278.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-21434.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-52304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-21188.gif)
(Ⅱ)证明见解析
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065751-50433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-62499.gif)
由题意,知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-55210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065755-87480.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065755-90133.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065755-74441.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065755-59054.gif)
① 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-17021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-11927.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-64628.gif)
不存在单调减区间; ……………………5分
② 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-76278.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065756-91292.gif)
![]() | ![]() | ![]() | ![]() |
![]() | + | - | + |
![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065757-92787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-76278.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-21434.gif)
③ 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-52304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065758-33207.gif)
![]() | ![]() | ![]() | ![]() |
![]() | + | - | + |
![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065757-92787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-52304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065754-21188.gif)
(Ⅱ)由(Ⅰ)知:若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-16380.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065753-17021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065758-42633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065759-54179.gif)
设点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065759-39834.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065759-49014.gif)
点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065759-39834.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065759-34682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065800-46856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065800-50942.gif)
(或
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065800-89311.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065757-92787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065800-46856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
由点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065800-23134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065752-80503.gif)
核心考点
试题【已知函数图像上一点处的切线方程为,其中为常数.(Ⅰ)函数是否存在单调减区间?若存在,则求出单调减区间(用表示);(Ⅱ)若不是函数的极值点,求证:函数的图像关于点】;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/20191018/20191018065746-57223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065746-97196.gif)
A.在![]() | B.在![]() |
C.![]() ![]() | |
D.在![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065733-75914.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065733-61062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065734-23268.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065734-26009.gif)
(Ⅰ) 求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065734-73529.gif)
(Ⅱ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065734-73529.gif)
(Ⅲ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065734-99316.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065735-83551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065735-96608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065735-96825.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065720-12738.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065720-26935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065720-32898.gif)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065720-43849.gif)
(Ⅱ)试证:对于区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065720-71324.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065720-83622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065721-83194.gif)
(Ⅲ)若过点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065721-38686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065721-37874.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065714-26608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065715-12130.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065707-47986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065707-72064.gif)
(1)求a,k的值;
(2)若将
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065707-72064.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065707-22125.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065707-22125.gif)
(3)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018065708-10417.gif)
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