题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-84610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-68125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-93641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-29505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-69120.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-50400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-67305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-71995.png)
(3)在函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-77372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-25541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-55329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-88446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-55329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-96450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-39714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-88446.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-67305.png)
解析
试题分析:(1)先求函数定义域,然后求导,判断单调性,根据单调性求极值;(2)因为函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-50400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-67305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-23792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-31080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-30926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-28039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-61633.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-50400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-85788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-98373.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-76578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-45261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-91391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-75659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-10209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-91391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-31170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-91391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050418-16584.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050419-87804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050419-82279.png)
若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050415-50400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050419-44749.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-23792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050417-31080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050419-72414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050419-50405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050420-38390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050420-91920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050420-19525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050420-78791.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050420-59225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-71995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050416-67305.png)
(3)假设存在,不妨设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050421-81521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050421-56163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050421-74766.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050421-36850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050422-44610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050422-71216.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050422-66564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050422-58402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050423-92296.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050423-87491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050423-76442.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050423-53930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050423-73280.png)
∴不存在符合题意的两点。 14分.
核心考点
试题【已知函数,,(1)若,求函数的极值;(2)若函数在上单调递减,求实数的取值范围;(3)在函数的图象上是否存在不同的两点,使线段的中点的横坐标与直线的斜率之间满足】;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/20191018/20191018050359-27412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050359-74177.png)
(Ⅰ)当a=1时,若曲线y=f(x)在点M (x0,f(x0))处的切线与曲线y=g(x)在点P (x0, g(x0))处的切线平行,求实数x0的值;
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050359-28983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050359-65935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050342-99155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050343-36344.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050343-99756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050343-96809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050343-65015.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050343-69373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050344-49192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050332-92963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050332-30819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050333-46419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050333-59913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050332-30819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050333-36020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050333-32719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050333-63942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050333-36482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050334-31455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050334-29064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050334-24433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050318-83130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050318-95486.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050318-38733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050318-11283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050319-24536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050318-38733.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050319-54617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050319-64635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050319-81409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-65924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-41437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-16248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-88968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-25857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-16617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050306-61672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-67983.png)
(Ⅰ)求实数a,b的值;
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-93613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-10559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-28527.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-35095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-30815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050307-12773.png)
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