名校
解题方法
1 . 某居民小区为缓解业主停车难的问题,拟对小区内一块扇形空地
进行改建.如图所示,平行四边形
区域为停车场,其余部分建成绿地,点
在围墙
弧上,点
和点
分别在道路
和道路
上,且
米,
,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/087a7d09-cf5d-4d41-a0db-4b986044ed0b.png?resizew=149)
(1)求停车场面积
关于
的函数关系式,并指出
的取值范围;
(2)当
为何值时,停车场面积
最大,并求出最大值(精确到
平方米).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40b8789cc8d81b3cf64f0b318ab982a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef6138f7648bb46524b4ab42e661fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a99c751c30b3784cd27036b4a5b48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259728433d68902065408fb6a34c6d4d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/087a7d09-cf5d-4d41-a0db-4b986044ed0b.png?resizew=149)
(1)求停车场面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
您最近一年使用:0次
2020-02-29更新
|
1042次组卷
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6卷引用:2020届上海市普陀区高考一模数学试题
名校
2 . 如图所示,经过村庄
有两条夹角为
的公路
,根据规划要在两条公路之间的区域内修建一工厂
,分别在两条公路边上建两个仓库
(异于村庄
),要求
(单位:千米),记
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/b4c855fa-a28c-4614-9073-ab807aa7a87d.png?resizew=152)
(1)将
用含
的关系式表示出来;
(2)如何设计(即
为多长时),使得工厂产生的噪声对居民影响最小(即工厂与村庄的距离
最大)?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd43cabbd47c77ac976ccfd3229dae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e31cf7ea7942bbc0fe4680878e5dd2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/b4c855fa-a28c-4614-9073-ab807aa7a87d.png?resizew=152)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8d07bad19b6cfac4dba9a919899841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)如何设计(即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8d07bad19b6cfac4dba9a919899841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
您最近一年使用:0次
2019-12-01更新
|
447次组卷
|
6卷引用:上海市曹杨第二中学2021届高三下学期3月月考数学试题