题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024346-16805.png)
⑴求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024346-76615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024346-66417.png)
⑵当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024346-62644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024346-15466.png)
⑶若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-16089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-30754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-31605.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-90111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-19013.png)
解析
试题分析:⑴曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024348-81091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024348-97293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024348-96403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024348-13637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-27514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-41040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-30754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-84563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-46299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-42380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-16089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-19013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-46299.png)
试题解析:⑴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024350-22101.png)
∴故切线斜率
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024350-71826.png)
∴所切线方程:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024350-93909.png)
⑵由题可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024350-33808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024349-27514.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024351-54480.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024351-96505.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024351-90509.png)
⑶令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024351-41019.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024351-42171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024352-54847.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024352-37753.png)
∴所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024352-90540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024352-61652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-14368.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-56958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-24296.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-19834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-63047.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024354-45051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-56958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024353-19834.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024354-41439.png)
由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024354-53158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-16089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024347-19013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024354-54064.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024337-84240.png)
⑴求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024338-91060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024338-96896.png)
⑵若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024338-44274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024338-86031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024330-60632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024330-66221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024330-67247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024331-50835.png)
A B C D
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024321-85890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024322-24597.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024322-20750.png)
(2)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024322-20750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024322-54928.png)
(3)是否存在x0>0,使得|g(x)﹣g(x0)|<
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024322-30339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024302-92004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024303-52644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024303-16311.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024303-79632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024303-54829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024303-69685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024304-95344.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024304-13372.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024304-58970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024304-41623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024303-79632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024305-22270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024245-77247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024245-91434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024245-26043.png)
(1)对于函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024246-81919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024246-78998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024246-89802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024246-51032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024246-32051.png)
(2)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024247-94203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024247-30380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024247-34487.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024247-22978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024248-34449.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024248-84686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024248-78496.png)
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