题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192211-70683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192211-22717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192211-24150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192212-93041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192212-65983.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192212-65169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192212-77032.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192212-56623.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192212-42937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-68844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-92436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-72558.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-71290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-33999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-21225.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-44653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-35708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-71290.png)
(2) ∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-81894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-57127.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-47641.png)
∵对
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-29734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192214-14962.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192215-41029.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192215-22552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-33999.png)
(3) ∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192215-73675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192215-56317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192215-84962.png)
∴对
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192215-36126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192216-87077.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192216-79428.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192216-65737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192216-57760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192216-92145.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192216-79888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192213-21225.png)
点评:中档题,本题属于导数应用中的基本问题,通过求导数,确定得到切线的斜率,通过研究导数的正负,明确函数的单调性。对于恒成立问题,一般地要通过构造函数,转化成研究函数的最值。
核心考点
试题【已知的图象过原点,且在点处的切线与轴平行.对任意,都有. (1)求函数在点处切线的斜率; (2)求的解析式; (3)设,对任意,都有.求实数的取值范围】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192114-27719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192114-42067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192114-27719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192107-16613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192000-86748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192000-71073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192001-89750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192001-89284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192001-13134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192001-15229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192002-23338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192002-10786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192001-89750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192001-89284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192002-47314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192002-84533.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192003-99952.png)
(Ⅱ)函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192003-92377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204192003-64329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191946-33411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191946-58058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191946-26861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191946-67850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191946-67850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191947-69747.jpg)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191911-61990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191911-29354.png)
A.1 | B.2 | C.3 | D.4 |
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