题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025808-96752.gif)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025808-25647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-90437.gif)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-80894.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-90437.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-22563.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-99670.gif)
单增区间是
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-28356.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025808-25647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-68088.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-37955.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-13498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-89497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-31971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-49993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-13620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-28187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-90437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-82945.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-22563.gif)
(2)定义域是
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-58309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-94624.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-80894.gif)
① 当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-44589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025808-25647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025810-59440.gif)
∴单减区间是
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-24269.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-54408.gif)
② 当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-72449.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-29389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-81815.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-33134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025811-77538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025812-75808.gif)
③ 当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025812-82511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025812-40300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025812-45860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025812-79263.gif)
由数轴标根法并结合定义域可知:单减区间是
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-99670.gif)
单增区间是
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025809-28356.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-77019.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-30475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-51357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025755-83814.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-51357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025755-94451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025755-41303.gif)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025755-33784.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-77019.gif)
(Ⅱ)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-30475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-77019.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025754-30475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025750-79760.gif)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025734-88586.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025734-48247.gif)
(Ⅰ)求实数a,b的值;
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025734-61358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025735-49865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025735-43649.gif)
(ⅰ)求实数m的最大值;
(ⅱ)当m取最大值时,是否存在点Q,使得过点Q的直线能与曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025735-53441.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025729-46664.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025729-64467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025730-17483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025730-78979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025720-53471.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025720-11213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025721-64287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025721-29154.gif)
极小值为1,求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025721-44267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025721-59956.gif)
(2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025720-11213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025721-11080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025722-38796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025722-60304.gif)
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