题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035211-52066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035211-46206.png)
(1)写出第
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035211-52066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035211-76107.png)
(2)若第
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035211-52066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-82566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-16470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-40940.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-17058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-22596.png)
解析
试题分析:(1)利用数列求和的递推思想可得第x个月的需求量.
(2)由(1)可得第x个月的需求量.根据利润计算公式求得月利润.利用分段函数的范围求出各段利润的最大值.最大值的求解是通过求导的知识.本题属于应用题的问题,阅读理解题意要细心.其中涉及求和的问题,有涉及第几个月的问题,及是数列中的通项与求和关系.另外通过分段的求导在对比出最大值.
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-89222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-17058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-17058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035212-22596.png)
(2)设该商场第x个月的月利润为w(元).则①
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035213-25594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035213-26281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035213-76971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035213-77199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035213-22662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035214-41041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035214-58056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035213-26281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035214-79723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035214-43126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035214-79376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035215-65364.png)
核心考点
试题【某商场预计2014年从1月起前个月顾客对某种商品的需求总量(单位:件)(1)写出第个月的需求量的表达式;(2)若第个月的销售量(单位:件),每件利润(单位:元)】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035202-80713.png)
(Ⅰ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035202-67794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035202-70268.png)
(Ⅱ)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035202-68712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035202-45582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035203-70090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035203-46476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035203-25996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035150-89297.png)
(1)曲线y=f(x)在x=0处的切线恰与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035151-58522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035151-84227.png)
(2)若x∈[a,2a]求f(x)的最大值;
(3)若f(x1)=f(x2)=0(x1<x2),求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035151-82642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035135-19150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-19386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-39252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-12901.png)
①存在点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-19386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-24109.png)
②存在点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-19386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-24109.png)
③存在点
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-19386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035136-24109.png)
其中,正确的结论的个数为( )
A.0 | B.1 | C.2 | D.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035119-98289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035120-73208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035120-77512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035120-72073.png)
(Ⅰ) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035120-70010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035121-87487.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035121-41486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035121-47579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035121-47579.png)
(Ⅲ)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035121-97361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035121-55275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035122-35690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035122-95911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035058-37005.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035059-12553.png)
(Ⅱ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035059-12881.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035059-57651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035059-69558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035059-44606.png)
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