题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025532-32141.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-94078.png)
(2)若对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-25481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-22952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-84518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-39058.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-94078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-39058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-51262.png)
解析
试题分析:(1)先对
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-94078.png)
(2)不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-84518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-72174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-78763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-35749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-87740.png)
从而实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-39058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-51262.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-94078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025535-34791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025535-67306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025535-79894.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025535-89041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-31119.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-94078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-74797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-70721.png)
所以,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-23585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-94078.png)
(2)因为不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-16657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025537-51013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025537-74762.png)
所以对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025537-20147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-16657.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-16657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025537-47111.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025536-23585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025537-83092.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025537-47111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-72174.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-78763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-35749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025538-82568.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025538-46617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025538-26771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025538-33497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025538-34924.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-35749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025539-61395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025539-55639.png)
所以,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025539-29002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-35749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-87740.png)
从而实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025533-39058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025534-51262.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025525-68758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025525-97516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025526-87710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025526-86543.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025512-42759.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025512-49876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025512-44216.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025512-98705.png)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025513-67248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025513-14450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025459-48697.png)
(1)求曲线y=f(x)在(2,f(2))处的切线方程;
(2)若g(x)=f(x)一
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025459-70896.png)
(3)设q>p>2,求证:当x∈(p,q)时,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025459-25564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025448-29581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025448-97916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025448-59767.png)
(1)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025448-29581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025449-19927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025449-16915.png)
(2)如果当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025449-58721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025449-27575.png)
(3)试证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025449-96065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025449-92997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025434-52881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025434-39635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025434-45388.png)
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