题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-55678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-37819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-54752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-19087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-12829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231014-15587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231014-92757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231014-27175.jpg)
(1)分别用不等式组表示
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231014-15587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231014-92757.png)
(2)若区域
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-12829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231015-14221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-55678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231013-54752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231015-77484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231015-52222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231015-15823.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-78048.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-40746.png)
解析
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-78048.png)
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-83418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-12124.png)
由题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-93378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-75117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-41734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-19878.png)
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-78048.png)
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-83418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-12124.png)
由题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-93378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-75117.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-41734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-19878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231017-64364.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-40746.png)
所以动点P的轨迹方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231016-40746.png)
核心考点
试题【如图,直线:与直线:之间的阴影区域(不含边界)记为,其左半部分记为,右半部分记为.(1)分别用不等式组表示和;(2)若区域中的动点到,的距离之积等于,求点的轨迹】;主要考察你对简单的线性规划等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016231003-65192.png)
A.—2 | B.4 | C.6 | D.8 |
1t.乙种原料2t,可获利润3千元;生产B种涂料1t需要甲种原料2t,乙种原料1t,
可获利润2千元,又知该工厂甲种原料的用量不超过400t,乙种原料的用量不超过500t,
问如何安排生产才能获得最大利润?(注:t表示重量单位“吨”)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230938-52914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230938-68386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230926-68858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230926-16884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230927-20876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230927-94074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230927-77858.png)
A.![]() | B.![]() | C.1 | D. 2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230917-34254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230917-62842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230917-66204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230917-70181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191016/20191016230918-21225.png)
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