题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014709-69318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014709-34641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014709-89243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014710-12989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014710-84230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014710-65277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014710-39495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014710-98993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-90164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-19338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-82821.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-90164.png)
(2)求圆柱形罐子体积
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-29446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-26720.png)
解析
试题分析:(1)利用解直角三角形用
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-90164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-90164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-90164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-90164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-31959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-31959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-31959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-60120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-60120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-60120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-29446.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014712-27552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014713-85662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014713-69236.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014713-72988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014713-75552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014714-17257.png)
即当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014714-27974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014714-57812.png)
【解法2】:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014710-39495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014714-27893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014714-74290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014715-40431.png)
设圆柱底面半径为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014715-90436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014715-66826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014715-32589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014716-74143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014716-36144.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014716-57231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014716-63386.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014716-39134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014717-41461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014717-28664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014717-68629.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014717-40455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014718-18829.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014716-63386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014711-75207.png)
核心考点
试题【如图,半径为30的圆形(为圆心)铁皮上截取一块矩形材料,其中点在圆弧上,点在两半径上,现将此矩形材料卷成一个以为母线的圆柱形罐子的侧面(不计剪裁和拼接损耗),设】;主要考察你对函数极值与最值等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014658-67351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014658-83628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014658-17432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014658-46846.jpg)
(1)求V关于θ的函数表达式;
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014658-83345.png)
(3)问当木梁的体积V最大时,其表面积S是否也最大?请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014650-33780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014650-18702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014650-66503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014651-18789.png)
.
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014643-97112.png)
(1).求函数f(x)的单调区间及极值;
(2).若x1≠x2满足f(x1)=f(x2),求证:x1+x2<0
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014628-53728.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014629-96172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014629-55977.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014629-74664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014629-66968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014629-58664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014630-39312.png)
(3)证明:当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014630-69751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014630-36571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014617-93450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014617-24563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014618-78442.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014618-54603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014618-36188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014618-38905.png)
(2)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014618-99550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014619-92369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014619-72614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019014618-38905.png)
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