题目
题型:不详难度:来源:
我们把定义在
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220209-55358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-96718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-79099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-55076.png)
(1)若某个似周期函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-98512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-90326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-37296.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-71460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220212-57025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220212-62764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220212-34098.png)
(3)对于确定的
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220212-96850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220213-34949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220214-12476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220215-82744.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220215-76801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-90326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-62199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-98512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-39677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-23875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-68040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-97300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-44342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-14275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-37186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-37296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220218-98957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220218-53186.png)
解析
试题分析:因为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220215-76801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-90326.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-62199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-98512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-39677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-23875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220216-68040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-97300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-44342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-14275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220217-37186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220211-37296.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220218-71022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220218-37635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220219-16202.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220219-99144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220219-82994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220219-12920.png)
显然
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220219-78244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220214-12476.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220220-38070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220220-18573.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220220-76756.png)
若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220210-15652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220214-12476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220220-28396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220218-53186.png)
点评:函数的基本性质有单调性和奇偶性,它们是函数的两个重要的性质,在解决函数问题中起着非常重要的作用,主要用于判断函数单调性、求最值、求参数的取值范围等
核心考点
试题【(本题满分18分) 本题共有3个小题,第1小题满分4分,第2小题满分6分,第3小题满分8分.我们把定义在上,且满足(其中常数满足)的函数叫做似周期函数.(1)若】;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/20200204/20200204220204-18281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220204-21001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220204-63487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220204-66884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220205-10920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220205-29367.png)
(Ⅰ) 试比较
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220156-53634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220157-97105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220157-95543.png)
(Ⅱ) 怎样分组才能使完成任务所需时间最少?
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220134-41212.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220123-87588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220123-26335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220123-23566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220123-11497.png)
A.![]() | B.![]() | C.![]() | D.![]() |
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220100-56929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220100-98807.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220100-81969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220101-63693.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220101-33779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220101-64420.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220101-15135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204220102-97330.png)
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