设G是紧夹在平行线
与
之间的任一凸区域(即其边界上任意两点之间所连线段都包含于它的区域),其边界
与
和
都有公共点.平行于
的直线
将G分为如图所示的
两部分,且l与
和
之间的距离分别为a和b.
(1)G为怎样的图形时;
两部分的面积之比
达到最大?并说明理由.
(2)试求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)G为怎样的图形时;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e329e98076754d6c75c7a29caa43c55.png)
(2)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e329e98076754d6c75c7a29caa43c55.png)
2019高三·四川·竞赛 查看更多[1]
更新时间:2018-12-07 16:36:55
|
【知识点】 函数的最大值和最小值
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