题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044759-31473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044759-37605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044759-10967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-78091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-83902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-99338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-44322.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-99338.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-60646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044801-43486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044801-37856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044801-65704.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044801-97847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-33626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-11352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-52148.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-41506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-49905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-15260.png)
解析
试题分析:(1)三次函数的导数是二次函数,由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-44322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-92869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-36510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-11352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-70395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-52637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-39377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-33626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-39377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-91055.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-55718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-44322.png)
∴函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-99338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-92759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044805-63722.png)
∵曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044759-37605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044759-10967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044800-78091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044805-10511.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044805-42485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044805-48243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-41506.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044805-88973.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044806-63959.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044806-75849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044806-89940.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044806-42051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044806-59752.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044807-89278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044807-76373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044807-20398.png)
综上
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044807-32765.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044807-14229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044808-76103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044808-30613.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-33626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044808-37855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-70395.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-52637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-39377.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-33626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044808-77455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044809-72761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044809-69362.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044804-39377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044809-27361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044802-52148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044803-15260.png)
核心考点
试题【已知函数,设曲线在与轴交点处的切线为,为的导函数,满足.(1)求;(2)设,,求函数在上的最大值;(3)设,若对于一切,不等式恒成立,求实数的取值范围.】;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/20191018/20191018044750-98520.png)
(1)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044751-45128.png)
(2)证明:若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044751-18610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044751-67215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044751-39641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044738-59964.png)
(1)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044738-56713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044738-17906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044738-39147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044738-22092.png)
(2)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044739-50954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044738-22092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044739-87327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044739-66200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044739-13156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044740-18793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044716-18478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044716-82875.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044717-28301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044717-67824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044717-67887.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044717-92030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044717-31133.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044718-42775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044717-31133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044711-19585.png)
A.f(2)<![]() | B.f(2)≤![]() |
C.f(2)=![]() | D.f(2)>![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044703-83606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044703-80596.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044703-81167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044703-91423.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044703-35345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044703-62137.png)
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