题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035754-87269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035754-22492.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035754-65144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-10014.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-83016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-64501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-10014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-14950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-76292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-10014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-96534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-57112.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-23739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-19366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-23380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-15585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-50802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-96290.png)
解析
试题分析:(1)首先求出函数的导数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-32099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035757-42640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035757-57291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035757-39788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035757-55327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-96534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035757-35439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035758-89238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035758-13660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035758-57163.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-32099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035758-19418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035759-30264.png)
①.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035759-79761.png)
②.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035756-19366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035759-70938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035759-12128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035759-82984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035800-58208.png)
(2)依题意有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035757-39788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035800-24621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035800-48128.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035758-89238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035800-58222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035801-97637.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035734-54665.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035734-28671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-83513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-73226.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-18105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-28695.png)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-41651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-24238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035721-74239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035721-97768.png)
(Ⅰ)若函数在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-60290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-84580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-52128.png)
(Ⅱ)如果当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-57620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035723-45637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035723-43078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-38439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-40046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-93039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-50855.png)
(Ⅰ)证明:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-49743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-21250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-77067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-28290.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-61237.png)
(ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-67002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035705-86188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035705-89140.png)
(ⅱ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035705-86273.png)
(Ⅰ)若f(x)在(0,3)上无极值点,求m的值;
(Ⅱ)若存在x0∈(0,3),使得f(x0)是f(x)在[0,3]上的最值,求m的取值范围.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035643-30345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035643-43153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035643-61124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035643-52098.png)
①对于任意的正数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035644-99898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035644-37319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035644-35645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035644-50285.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035644-43489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035643-52098.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035645-36849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035645-47765.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035645-77878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035645-22814.png)
其中正确命题的序号是 .
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