题目
题型:不详难度:来源:
如图,已知曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055410-36291.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055410-25700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055410-90820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055410-44544.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055410-37680.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055411-18809.gif)
(Ⅰ)写出四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055411-82059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055411-96737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055411-71760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055412-84238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055412-83104.gif)
(Ⅱ)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055412-34823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055412-34823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055412-53857.gif)
答案
(1,1). ……
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055412-87892.gif)
f(t)=S△ABD+S△OBD=
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-60997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-60997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-60997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-84956.gif)
即f(t)=-
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-85075.gif)
(Ⅱ)f'(t)=-
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-13184.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055413-85075.gif)
令f'(t)="0 " 解得t=
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
当0<t<
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
所以当t=
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055414-96608.gif)
解析
核心考点
试题【(本小题满分14分)如图,已知曲线与曲线交于点.直线与曲线分别相交于点.(Ⅰ)写出四边形的面积与的函数关系;(Ⅱ)讨论的单调性,并求的最大值.】;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/20191018/20191018055355-77652.gif)
(1)试求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055355-72453.gif)
(2)已知各项均为负的数列
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055355-84383.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055355-82965.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055356-75136.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055356-12306.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055356-20204.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055356-16338.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055357-43607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055357-74047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055339-70050.gif)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055339-13211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055339-83683.gif)
(2)函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055339-83683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055328-54972.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055328-59765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055328-83227.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055329-74405.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055329-74647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055328-59765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055329-13287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055329-33419.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055328-59765.gif)
的最大值.
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055317-56149.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055317-77694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055317-67198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055318-20958.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055317-56149.gif)
(2)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055318-49913.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055318-65216.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055318-49913.gif)
定义在(0,+∞)上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055307-90604.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055307-51336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055307-34529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055308-27302.gif)
(Ⅰ)确定函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055308-10193.gif)
(Ⅱ)证明:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055308-40978.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018055308-10904.gif)
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