题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111743-60306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111743-20103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-12163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-56488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-66976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-34600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-40335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-12163.png)
①任意三次函数都关于点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111745-93292.png)
②存在三次函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111745-89841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-34600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-40335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111744-12163.png)
③存在三次函数有两个及两个以上的对称中心;
④若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111745-87907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111745-19685.png)
其中正确命题的序号为__ _____(把所有正确命题的序号都填上).
答案
解析
核心考点
试题【对于三次函数,定义是的导函数的导函数,若方程有实数解,则称点为函数的“拐点”,可以证明,任何三次函数都有“拐点”,任何三次函数都有对称中心,且“拐点”就是对称中】;主要考察你对函数的单调性与导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111728-37481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111728-24430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111728-91507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111728-30203.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-52822.png)
(2)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-52822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-94097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-38206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-52822.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-55896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111729-94097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111730-93671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111730-89694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111730-56238.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111730-37700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111731-44647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111718-87875.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111718-55273.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111718-20032.png)
(3)证明,对于任意的正整数m,n,不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111718-56157.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111711-73368.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111711-54013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111711-58415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111711-93441.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111711-58415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111659-85500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111659-86975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111700-12347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111650-23961.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111650-51102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111651-34718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111651-40234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111651-40570.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111650-51102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111651-75366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018111651-71716.png)
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