题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103925-94041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103925-81857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-34096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-63782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-45815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-67860.png)
(1)写出
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-67860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-34096.png)
(2)求该储油罐的建造费用最小时的
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-34096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-62054.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-95322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-93559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-79347.png)
解析
试题分析:(1)求实际问题函数解析式,关键正确理解题意,列出正确的等量关系,明确自变量取值范围. 储油罐的建造费用等于圆柱形部分建造费用与半球形部分建造费用之和,
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-95322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-63782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-93559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-95322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103926-34096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-49272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-77694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-71283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-44894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-79347.png)
[解] :(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-19818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-95322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-93559.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103929-69664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-71283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103928-44894.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103927-79347.png)
核心考点
试题【某加油站拟造如图所示的铁皮储油罐(不计厚度,长度单位:米),其中储油罐的中间为圆柱形,左右两端均为半球形,(为圆柱的高,为球的半径,).假设该储油罐的建造费用仅】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103835-51830.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103835-77095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103835-19000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103835-64741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103835-82921.png)
(2)试判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103836-36070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103836-41427.png)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103816-30822.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103817-77379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103817-19807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103817-56818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103818-21208.png)
(2)试证函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103818-34542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103818-86436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103746-57989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103747-16445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103747-45270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103747-10348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103747-70992.png)
A B C D
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103736-34466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103736-81914.png)
A.8 | B.9 | C.26 | D.27 |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103715-57626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103715-16727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103715-57626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103715-45744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103715-57626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103716-35812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103716-89554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103715-57626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103716-72977.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103717-68199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103717-64185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103717-87025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204103717-86509.png)
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