题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023829-76324.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023829-59359.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023829-18413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-43034.gif)
|
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-75860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-36785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-83063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-60440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-27645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-11674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-33296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-48589.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-39774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023832-13358.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023832-57820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023832-95989.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023829-59359.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023832-70671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023833-49919.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023833-49665.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023833-85203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023833-12134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023833-30454.gif)
设为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023834-76542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023832-95989.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023834-18884.gif)
又由根与系数的关系得
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023834-37926.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023834-87902.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023834-84495.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023835-12823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023835-77221.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023835-52856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023835-67003.gif)
故函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-75860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023836-53546.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023836-12216.gif)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-39774.gif)
由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023829-18413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023830-83063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023836-75417.gif)
(Ⅱ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023836-86580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023837-78077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023837-12202.gif)
因
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023837-69644.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023833-49665.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023837-38517.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023837-29848.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023838-71319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023838-61814.gif)
由题意,函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023838-68438.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023838-11093.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023829-18413.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023839-65172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023839-26258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023839-97082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023839-35843.gif)
由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023839-66177.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023840-46748.gif)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023831-48589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023832-13358.gif)
核心考点
试题【(本题满分13分)设函数,已知,且,曲线在x=1处取极值.′ (Ⅰ)如果函数的递增区间为,求的取值范围; (Ⅱ)如果当是与无关的常数时,恒有,求实数的最小】;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/20191019/20191019023819-72225.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023819-98704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023819-39592.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023819-72225.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023820-68281.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023820-85520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023820-39256.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023820-77583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023817-41976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023810-60852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023810-41961.gif)
A.![]() | B.![]() ![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023805-98926.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023806-45082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023806-13861.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023806-65122.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023749-39291.gif)
(Ⅰ)研究函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023749-88801.gif)
(Ⅱ)当p>0时,若对任意的x>0,恒有
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023749-86379.gif)
(Ⅲ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019023750-88460.gif)
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