题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195841-50081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-71478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-22285.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-26665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-19470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-73988.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-31465.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-59761.png)
(2)①当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-71652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-31465.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195844-61918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-31465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195844-99951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195844-16405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195845-40908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195845-86635.png)
解析
试题分析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-26665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195845-21160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195845-64923.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195846-33768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195846-96274.png)
所以曲线
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-19470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-73988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-59761.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195846-52251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195842-71478.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-71652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-31465.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195844-61918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195843-31465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195844-99951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195844-16405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195845-40908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195845-86635.png)
点评:本小题考查导数的几何意义,两个函数的和、差、积、商的导数,利用导数研究函数的单调性和极值等基础知识,考查运算能力及分类讨论的思想方法.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195820-23810.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195813-54830.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195813-14598.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195813-57040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195755-70326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195756-46566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195756-51882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195757-58664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195757-25250.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195757-91616.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195756-51882.png)
(III)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195757-76990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195758-78661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195758-34701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195713-69562.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195713-18253.png)
(Ⅱ)若存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195713-25451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195714-28506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195714-35693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195601-62261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195601-15211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204195602-32164.png)
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