题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095800-21019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095801-53481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095801-25341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095801-62470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095801-26524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095802-90356.png)
(1)若广告商要求包装盒侧面积
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095802-13227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095802-73529.png)
(2)若广告商要求包装盒容积
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095802-46303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095802-73529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095802-49957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095803-93014.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095803-13645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095803-37731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-99637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-12051.png)
解析
试题分析:(1)先设包装盒的高为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-34123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-17748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-30582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-55122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-78700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-78700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095803-37731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-78700.png)
(2)利用体积公式表示出包装盒容积
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-10740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-78700.png)
设包装盒的高为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-34123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-17748.png)
由已知得
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095805-95909.png)
(1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095806-75695.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095803-13645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095803-37731.png)
(2)根据题意有
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095806-53765.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095806-80663.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095806-24146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095807-47874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095807-93694.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095807-51964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095807-14814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095808-90505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095808-62984.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-99637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095804-12051.png)
即包装盒的高与底面边长的比值为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095808-58295.png)
核心考点
试题【请你设计一个包装盒,如图所示,是边长为的正方形硬纸片,切去阴影部分所示的四个全等的等腰直角三角形,再沿虚线折起,使得四个点重合于图中的点P,正好形成一个正四棱柱】;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/20200204/20200204095756-76959.png)
A.“函数与方程”的上位 | B.“函数与方程”的下位 |
C.“函数模型及其应用”的上位 | D.“函数模型及其应用”的下位 |
a | b | c | d | e | f | g | h | i | j | k | l | m |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
n | o | p | q | r | s | t | u | v | w | x | y | z |
14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
给出如下变换公式:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095732-41748.png)
将明文转换成密文,如
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095733-18521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095733-46597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095733-96089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095733-86732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095734-73566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095734-31872.png)
(1)按上述规定,将明文
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095734-89569.png)
(2)按上述规定,若将某明文译成的密文是
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095734-13725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095718-15826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095719-73101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095719-64436.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095656-15165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095656-25441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095657-43613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095657-23868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095657-71994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095656-15165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095657-95578.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095657-48281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095658-31138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095658-11531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095658-88178.png)
⑤
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095656-15165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095658-83661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095658-72352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095657-95578.png)
A.①②④ | B.①②⑤ | C.①③④ | D.①④⑤ |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204095645-10242.png)
A.{1,3} | B.{2,4} | C.{1,2,3,4} | D.{1,2,4,8} |
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