题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-82121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-72775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-75569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-75569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-72775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211050-18602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-72775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211050-79223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211050-48075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211049-72775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211051-68124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211051-96410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211051-61848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211050-48075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-84180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-82989.png)
A.1 | B.2 | C.3 | D.4 |
答案
解析
试题分析:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211051-68124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-66164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211053-46596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211050-48075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-84180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211053-47224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-84180.png)
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211053-56862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211054-60884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211054-30207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211054-85278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211054-99894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211055-87303.png)
点评:本题根据题目中凸函数的定义可知对于函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211051-68124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211055-39182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-84180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211052-82989.png)
核心考点
试题【设函数在区间()的导函数,在区间()的导函数,若在区间()上恒成立,则称函数在区间()为凸函数,已知若当实数满足时,函数在上为凸函数,则最大值 ( )A.】;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
(1)设完成A 型零件加工所需时间为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211037-22656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211037-22656.png)
(2)为了在最短时间内完成全部生产任务,x应取何值?
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211030-80461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211030-47801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211031-30825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211031-25438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211031-35735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211031-97199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211032-25037.png)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211032-43970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211032-65029.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211032-72174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211032-65029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211013-73912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211014-17698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204211014-45360.png)
(1)若M为实数集R,是否存在函数f (x)=ax (a>0且a≠1,x∈R) 具有性质P,并说明理由;
(2)若M为自然数集N,并满足对任意x∈M,都有f (x)∈N. 记d(x)=f (x+1)-f (x).
(ⅰ) 求证:对任意x∈M,都有d(x+1)≤d(x)且d(x)≥0;
(ⅱ) 求证:存在整数0≤c≤d(1)及无穷多个正整数n,满足d(n)=c.
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210825-94925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210826-12463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210826-91830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210826-45348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210827-24160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210827-62456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204210827-93583.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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