题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061851-79178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061851-70059.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061851-58434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061851-91679.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061852-66078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061852-50581.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061852-21477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061852-98329.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-26770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-39438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-48886.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-51014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061854-76092.png)
所以不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-39438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061854-27719.png)
⑵
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061854-90618.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061854-42399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061855-63735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061855-53925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061855-21358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061855-99570.png)
取等号,故
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061854-42399.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061856-88214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061856-76116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061856-69267.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061857-23891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061857-31706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061857-25085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061857-19642.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-16684.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-60565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-88759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-16684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-99702.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-16684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-39744.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-51014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061859-58818.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061859-58136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061858-16684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061855-21358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061859-31424.png)
必须满足
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061859-24897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061900-98717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061900-42901.png)
综上可知,
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061900-23226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061900-25488.png)
⑶当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061854-42399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061901-72339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061853-26770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061901-62112.png)
所以原方程等价于
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061901-66503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061901-48432.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061902-79832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061902-57121.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061902-80832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061903-43567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061903-11047.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061903-92190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061903-43138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061903-89261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061904-68307.png)
所以方程
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061904-12405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061904-13153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061905-90013.png)
所以整数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061905-27490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061905-22796.png)
解析
核心考点
试题【(本小题满分16分)已知函数,其中e是自然数的底数,。(1)当时,解不等式;(2)若在[-1,1]上是单调增函数,求的取值范围;(3)当时,求整数k的所有值,使】;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/20200205/20200205061843-47703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061843-68956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061843-42898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061843-68956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061843-47703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061843-68956.png)
A.1个 | B.2个 | C.3个 | D.4个 |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061828-98056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061829-26427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061829-94458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061829-59249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061829-80634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061830-25637.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061830-67547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061830-49499.png)
(2)问保温层多厚时,总费用
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061830-49499.png)
A.{x|x≤1} | B.{x|x≥0} |
C.{x|0≤x≤1} | D.{x|x≥1或x≤0} |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061805-81915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061805-89674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205061757-83442.png)
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