题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041555-21655.png)
(1)若函数满足
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041555-95461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041555-38123.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-57448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-65943.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-70929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-86914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-15557.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-98074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-68300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-27045.png)
解析
试题分析:(1)先利用
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-55463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-65943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-48020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-48020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-57448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-74437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-75052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-74437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041556-65943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-39210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-33316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-53118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-71702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-57221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-53118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-80113.png)
试题解析:(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-55463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041600-18926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041600-78950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041600-95287.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041600-82468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-74437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041600-70963.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041601-85780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041601-12307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-98074.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041601-73113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041601-46199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041602-36131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041602-84769.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041602-41661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041602-64254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041603-42217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041603-97605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041603-35183.png)
而当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041601-73113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041603-29131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041603-13162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041604-33257.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-68300.png)
(3)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-39210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041558-33316.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-53118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-71702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-57221.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-53118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041559-80113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041604-87432.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041557-27045.png)
核心考点
试题【已知函数.(1)若函数满足,且在定义域内恒成立,求实数b的取值范围;(2)若函数在定义域上是单调函数,求实数的取值范围;(3)当时,试比较与的大小.】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041545-44637.png)
⑴求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041545-72853.png)
⑵如果对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041545-12248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041546-11140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041546-64011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041527-52735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041527-97014.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041527-98573.png)
⑵如果
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041527-98567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041528-69369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041527-98567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041528-21512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041528-83607.png)
⑶讨论关于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041528-29615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041528-47125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-72803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-71279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-80710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-94073.png)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-80710.png)
(II)证明对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-83017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-16396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041517-83607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041505-19505.png)
(1)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041505-45042.png)
(2)若对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041505-14299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041505-45792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041506-70482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041506-42806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041453-25555.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041453-52559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041454-69635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041454-52009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041454-83879.png)
(2)如果当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041454-40333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041454-22232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041455-22979.png)
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