题目
题型:不详难度:来源:
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182554-95198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182554-13454.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-90119.gif)
(Ⅰ)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-32766.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-83292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-48271.gif)
(Ⅲ)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182556-64937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182556-71194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182556-19418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182556-19853.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182556-96403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182557-48178.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-32766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182557-71693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182557-25960.gif)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182558-76937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182558-85538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-32766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182557-71693.gif)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182558-54025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182558-85538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182558-13911.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182559-65077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182559-47898.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-32766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182559-33824.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182559-44998.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182600-88883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-83292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182557-71693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182600-83140.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-83292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182600-97105.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182600-97478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182601-54250.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182601-65484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182601-53289.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182601-24503.gif)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182556-71194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182602-61152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182602-48488.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182603-27958.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182603-51271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182603-71254.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182603-11250.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182604-89542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182604-36192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182604-72444.gif)
所以在
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182604-98961.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182604-46046.gif)
而“
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182605-68848.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182605-47139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182605-17739.gif)
“
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182555-83292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182604-98961.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182605-84808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182606-24076.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182605-84808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182606-24076.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182606-93278.gif)
所以有
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182606-38834.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182606-27987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182607-58356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182607-76733.gif)
所以实数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182557-48178.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182607-51812.gif)
解析
核心考点
试题【(本小题满分13分已知函数,,其中R (Ⅰ)讨论的单调性(Ⅱ)若在其定义域内为增函数,求正实数的取值范围(Ⅲ)设函数, 当时,若,,总有成立,求实数的取值范围】;主要考察你对导数的意义等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182522-71035.gif)
(1)判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182522-73993.gif)
(2)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182522-73993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182522-12405.gif)
(3)若方程
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182523-86562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182523-96883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182523-26491.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182458-69463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182439-47472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182439-29189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182439-68036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182440-90973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182440-73887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182440-84965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182422-59316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182422-62107.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182358-43329.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182359-12236.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182359-70203.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182359-12236.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017182359-70203.gif)
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