题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-57735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-10806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-17698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-37647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-82594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024359-83085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024359-27116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024359-27993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024359-40238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024400-87029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024400-89567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024400-73615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024400-52818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024400-65676.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024401-19704.png)
解析
试题分析:(1)利用导数几何意义,函数在点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-10806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024401-32767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024401-28698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024358-57735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024401-97438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-57183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-54560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-84212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-71149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-31098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-21887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024401-19704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-90297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-66979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-64936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-16634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-37037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-39095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-76800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-84773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024405-39901.png)
试题解析:解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024405-84499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024405-22420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024405-22496.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024405-67585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024406-39536.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024406-40489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024406-97824.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024406-26565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024407-30057.png)
当x∈
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-54560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024407-71439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024402-71149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024407-69384.png)
则方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024407-85733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024407-81144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024408-92151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024401-19704.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024408-14432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024408-78582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024408-49335.png)
则有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-66979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024408-58992.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024409-62794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024409-20485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024409-80090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024403-16634.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-37037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024409-74682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-76800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024404-84773.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024409-10782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024405-39901.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024410-47069.png)
核心考点
试题【已知函数图像上一点处的切线方程为(1)求的值;(2)若方程在区间内有两个不等实根,求的取值范围;(3)令如果的图像与轴交于两点,的中点为,求证:】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](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)
![](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)
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