题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045216-59488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045216-57690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045216-21125.png)
(I)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-31431.png)
(II)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-89328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-30473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-39647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-87831.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-80520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-80520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-79086.png)
解析
试题分析:(I)先对函数求导,再分k>0和k<0两种情况讨论,可得函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-31431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-92015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-85847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-39647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-62071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-63858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-73251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-41277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-87831.png)
试题解析:(I)定义域为R,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-71479.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-74868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-70329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-64365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-59660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-55714.png)
当时,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-70329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-55714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-59660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-64365.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045220-74868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-31882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-92932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-80520.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-35257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-31882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045221-92932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-80520.png)
(II)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-92015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-85847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045217-39647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-62071.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-63858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-73251.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045222-76153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045222-84630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045222-55945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045222-19941.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045219-41277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045223-51374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045223-15064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045223-69430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045223-99064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045218-79086.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045207-80143.png)
A.±1 | B.±2 | C.±![]() | D.2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045201-85724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045202-57610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045202-16401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045151-56744.png)
(1)当a=1时,求曲线在点(3,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045151-66455.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045152-97734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045130-46540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045130-54584.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045130-38844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045130-55176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045131-93353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045131-64097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045131-12279.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045131-41022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045131-97892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045132-62919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045116-50896.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045116-13664.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045116-63449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045116-19885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045116-65666.png)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045117-48439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018045117-25620.png)
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