题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031401-88485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031401-61539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-42434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-23414.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-18433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-35196.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-35196.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-69868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-19643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-37522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-89520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-19643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-19643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-35196.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-94705.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-41810.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-96602.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-94914.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-36002.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-68244.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031405-87937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031405-60366.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-94705.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-94705.gif)
(2) (i)因
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031405-66431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031405-44497.gif)
情形一:当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031406-31262.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031406-67323.gif)
情形二:当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031406-72136.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031402-69868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-89520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-37522.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031403-19643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031406-24995.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-41810.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-41810.gif)
(ii)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031406-90576.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031407-55943.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031404-96602.gif)
核心考点
试题【(12分)设. (1)若, 与在同一个值时都取极值,求; (2)对于给定的负数,当时有一个最大的正数,使得时,恒有. (i)求的表达式; (ii)求的最】;主要考察你对函数极值与最值等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031349-25440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031350-18529.gif)
(Ⅰ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031350-79218.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031350-86223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031350-94130.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031351-77454.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031350-86223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-54757.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-32153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-38356.jpg)
(1)若f(x)在
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-66353.gif)
(2)如右图所示,若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-29938.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-10352.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031340-48174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031341-20141.gif)
(3)利用(2)证明:函数y=g(x)图象上任意两点的连线斜率不小于2e-4.
已知函数f(x)=xlnx,g(x)=f(x)+f(m-x),m为正的常数
(1)求函数g(x)的定义域;
(2)求g(x)的单调区间,并指明单调性;
(3)若a>0,b>0,证明:f(a)+(a+b)ln2≥f(a+b)-f(b)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031325-12098.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031320-99352.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031320-45395.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019031320-24147.gif)
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