题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174624-34873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-67641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-91979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-82533.png)
(1)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-67641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-88942.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-93006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-44927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-41960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-27380.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-30608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-38901.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-59463.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-27380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-53440.png)
(3)由(Ⅱ)知:当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-33643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174628-34017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174628-69749.png)
解析
试题分析:解:(Ⅰ)依题意知:直线
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-67641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174628-39014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174628-32297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174629-92693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-67641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-59463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174625-67641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-41960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174629-90325.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174629-43560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174629-90737.png)
(Ⅱ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174630-49946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174630-39587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174630-79710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-33643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174630-11191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174630-70985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174631-93485.png)
因此,
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-27380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174631-52353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174631-26203.png)
因此,当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174631-98890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174626-27380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-53440.png)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-30608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174632-77227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174627-33643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174628-34017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174628-69749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174632-83844.png)
点评:主要是考查了函数的单调性以及不等式的运用,属于基础题。
核心考点
试题【已知,直线与函数的图像都相切,且与函数的图像的切点的横坐标为1. (1)求直线的方程及的值;(2)若(其中是的导函数),求函数的最大值;(3)当时,求证:.】;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/20200204/20200204174522-55498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174522-36908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174522-68678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174522-98898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174523-68309.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174449-11382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174449-77779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174449-96546.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174408-57855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174409-61399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174409-22660.png)
A.![]() | B. 8 | C. 7 | D. 2 |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174357-27461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174357-76125.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174341-62893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174342-68013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174342-10017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174341-62893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174342-57068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204174342-40919.png)
A.![]() | B.![]() | C.![]() | D.(![]() |
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