题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044533-91184.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-78928.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-87239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-97240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-16678.png)
(3)若设函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-22937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-39220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-78928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-81525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-37674.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-25196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-59726.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-78414.png)
解析
试题分析:解(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-12286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-86248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-25196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-59726.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-32434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044537-96562.png)
x | ![]() | (![]() | 0 | (0,![]() | ![]() |
![]() | | _ | 0 | + | |
![]() | | ![]() ![]() | | ![]() ![]() | |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044538-50477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044538-49264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044539-29068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-97240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-87239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044539-23835.png)
(3)由
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044539-53484.png)
得:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044539-54424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044539-89540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044540-61366.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044540-45608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044540-68468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044540-48606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044541-42849.png)
∴ 当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044541-75147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044536-78414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-39220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044534-78928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044535-81525.png)
点评:结合导数的符号来判定函数单调性,以及性质得到结论,属于基础题。
核心考点
试题【(本小题满分12分)己知函数(1)求的单调区间;(2)若时,恒成立,求的取值范围;(3)若设函数,若的图象与的图象在区间上有两个交点,求的取值范围。】;主要考察你对函数的单调性与最值等知识点的理解。[详细]
举一反三
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044518-12207.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-13209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-91147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-91147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-16934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-88217.png)
若对任意给定的
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-54939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044520-24890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044520-70163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044520-62611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044519-88217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044517-47229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044517-19593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044517-77139.png)
A.8 | B.![]() | C.2 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044512-40104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044512-41744.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044512-18919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044512-58442.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044512-39644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044513-15459.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044501-90466.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044502-10881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044502-68567.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044502-10881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044502-42674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044502-84857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044502-11507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044503-56073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044456-30447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044457-74810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044457-94900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044457-18532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044457-73114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044457-45293.png)
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