名校
解题方法
1 . 已知一次函数
,且
,设
.
(1)求函数
;
(2)设函数
,求函数
在
上的最大值
的表达式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a261e1d5eea492aa74d6eca801b2dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462cbd881599f59d51e8a24a07bb9eaf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e711eba21892953ca759e5ab9414506a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb37d173605f006df4c51ba63b1841d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b8114fcc770a8512cf03da137ca4e.png)
您最近一年使用:0次
2022-11-07更新
|
175次组卷
|
2卷引用:四川省宜宾市第四中学校2022-2023学年高一上学期第三学月考试数学试题
2 . 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)
您最近一年使用:0次
2012高三·四川·竞赛
3 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca58ad4cfb5069d1d9b43dc859d97c1.png)
①求函数
在
上的最大值与最小值;
②若实数
使得
对任意
恒成立,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca58ad4cfb5069d1d9b43dc859d97c1.png)
①求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
②若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8921d6ed51cbd1c570cfc92353d3da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be47a0ee3fcbcd2a1e5ad5d5fa736627.png)
您最近一年使用:0次
2011高三·四川·竞赛
4 . 已知
.若函数
的最大值为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b456196be065adf374b07289b0f4c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987ecbd076d89da5ef1e2561d79d857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987ecbd076d89da5ef1e2561d79d857.png)
您最近一年使用:0次