题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155129-55434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155129-95424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-13735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-68981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-85269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-49734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-44354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-36225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-97921.png)
(Ⅰ)按下列要求确定函数关系式:
①设
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-77848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-81356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-81356.png)
②设
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-96318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-37334.png)
(Ⅱ)请你选用(Ⅰ)中一个合适的函数关系式,求总路程
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-33037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-85269.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-59952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-39008.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-46609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-12330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-81161.png)
解析
试题分析:(Ⅰ)①是借助余弦定理将
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-37401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-81356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-81356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-81356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-77848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-37401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-37334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-37334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-37334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
试题解析: (Ⅰ)①在
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-47284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-50433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-73056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-99374.png)
由余弦定理,
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-38221.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-59952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155130-97921.png)
②在
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-47284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-50433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-99374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-96318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-24089.png)
由正弦定理,
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-86050.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-21517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-75855.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-81976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-66952.png)
(Ⅱ)选用(Ⅰ)中的②的函数关系式,
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-71279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155133-85712.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-35934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-56549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-35446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-70288.png)
则当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-82775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-33368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-48137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-64131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155135-49464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155135-44455.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155134-56549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-12330.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155135-91466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155135-72501.png)
答:当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-46609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155131-26095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-12330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155132-81161.png)
核心考点
试题【某企业有两个生产车间,分别位于边长是的等边三角形的顶点处(如图),现要在边上的点建一仓库,某工人每天用叉车将生产原料从仓库运往车间,同时将成品运回仓库.已知叉车】;主要考察你对对数函数的定义等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155127-88726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155127-50460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155127-18748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155127-61873.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155125-29879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155125-80841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155121-82505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155121-55476.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155118-64250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155118-13397.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155108-20080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155109-46461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155109-63761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155109-29310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155109-22432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820155109-29310.png)
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