题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203737-55963.gif)
(1)设MN与AB之间的距离为x米,试将三角通风窗EMN的通风面积S(平方米)表示成关于x的函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203737-29859.gif)
(2)当MN与AB之间的距离为多少米时,三角通风窗EMN的通风面积最大?并求出这个最大面积.
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-19426.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-52959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-55056.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-12357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-91668.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-85613.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-52959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-55056.gif)
(二)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-90039.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-80961.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-80160.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203740-68591.gif)
(2) (一)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-12357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203738-52959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203740-72026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203740-26546.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203740-38859.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203741-30942.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203741-78408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-58071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-18552.gif)
②
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-67265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-18231.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203746-66348.gif)
(二)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-90039.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-80961.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203739-80160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203746-65970.gif)
等号成立
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203746-41424.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203746-13775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203746-41424.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203746-14237.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-24426.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-59501.gif)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203741-78408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-35755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-20211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-58071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-18552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-20543.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-81718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-59501.gif)
B.
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-67265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-40070.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-81718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-59501.gif)
综上,
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-20211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-58071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203745-18552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-29970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-34678.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-85127.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203747-59501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203749-32327.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203749-26346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203748-81718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203749-70740.gif)
核心考点
试题【(本小题满分16分)某仓库为了保持库内的湿度和温度,四周墙上均装有如图所示的自动通风设施.该设施的下部ABCD是等腰梯形,其中高0.5米,AB=1米, CD=2】;主要考察你对指数函数图象及性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203735-44158.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203735-23546.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203730-44896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203731-15612.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203731-20053.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203731-99641.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203726-63763.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203727-96372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203725-34402.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203725-80904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203725-86515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203725-12223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203725-87892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203720-77750.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203720-67361.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203721-96318.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203721-49173.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819203721-12161.gif)
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