题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114130-48198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114131-32923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114131-44633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114132-17211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114132-39561.png)
(1)证明函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114133-54098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114132-39561.png)
(2)试求一个函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114133-76732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114133-78115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114134-19970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114134-60233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114132-17211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114132-39561.png)
(3)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114133-76732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114134-24138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114134-65436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-92232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-83563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-20276.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-66444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-73459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-44640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-64296.png)
解析
试题分析:本题是一个新定义概念问题,解决问题的关键是按照新定义把问题转化为我们熟悉的问题,(1)就是找到
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114132-17211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-85494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-85018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114137-25780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114137-97369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114134-24138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114137-99715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114137-10620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-66444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-73459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114136-85494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114138-89355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114134-24138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114138-24570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114138-99458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114138-59821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114138-89355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114139-14051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114139-15488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114139-98020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114140-36974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114140-50122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114141-15231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114141-66536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114141-94220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114141-81963.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114141-44652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114133-54098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114142-14191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114142-42197.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114133-54098.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114142-58791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114142-69627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114143-34429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114143-42354.png)
(非零常数) 所以
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114143-79903.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114143-90873.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114143-15813.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114144-24544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114144-55170.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114144-91307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114144-99563.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114145-70950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-20276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114131-32923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114145-88676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114145-99279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-20276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114141-15231.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114144-91307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114145-71570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114146-78031.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114146-23849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-20276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114131-32923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114146-71028.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114146-37853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114129-16030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114135-20276.png)
核心考点
试题【定义:对于函数,若存在非零常数,使函数对于定义域内的任意实数,都有,则称函数是广义周期函数,其中称为函数的广义周期,称为周距.(1)证明函数是以2为广义周期的广】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114034-29441.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114005-76531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114005-94013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114006-43573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114005-76531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114006-13847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114006-44642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114006-49202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114006-44642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204114006-13847.png)
A.大前提错误 | B.小前提错误 | C.推理形式错误 | D.结论正确 |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113951-30040.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113951-41298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113952-14020.png)
(2)求证:当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113952-86036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113951-41298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113952-58932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113920-99618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113920-37699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113920-34983.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113920-64244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113921-65102.png)
(2)若对
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113921-55276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113921-50671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113921-72350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113847-71137.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113847-70372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113847-17709.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113848-14597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113848-66336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113848-48565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113847-17709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113848-76032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113849-21817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204113849-39733.png)
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