题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-51549.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-40653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-69751.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-72853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-53916.png)
解析
试题分析:(1)利用
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-37156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-83092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-72853.png)
(2)利用导数求出
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-54562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-23030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-17852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-14323.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085622-31406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085622-99254.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-37156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-83092.png)
∴增区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-72853.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-40653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085622-45721.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085622-78892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085622-47796.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | + | 0 | - | 0 | + |
![]() | 单调递增↗ | | 单调递减↘ | | 单调递增↗ |
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085624-18418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-54562.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085624-41409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-23030.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085619-52529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-17852.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085621-14323.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085620-53916.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085611-94156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085604-11568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085604-63457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085604-15996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-41132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-87174.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-78998.png)
(2)是否存在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-70147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-80282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-87595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085552-93320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085536-33604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085537-35783.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085537-35783.png)
(2)试确定x,使修建此矩形场地围墙的总费用最小,并求出最小总费用.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085530-46154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018085530-18566.png)
A.{x|x<1} | B.{x|-1<x<1} | C.{x|x<-1或x>1} | D.{x|x>1} |
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