1 . 如图,在南北方向有一条公路,一半径为100
的圆形广场(圆心为
)与此公路所在直线
相切于点
,点
为北半圆弧(弧
)上的一点,过点
作直线
的垂线,垂足为
,计划在
内(图中阴影部分)进行绿化,设
的面积为
(单位:
),
![](https://img.xkw.com/dksih/QBM/2020/2/24/2406147876872192/2406584251752448/STEM/b47cf668-6825-415c-a805-f95075b6e2c4.png?resizew=207)
(1)设
,将
表示为
的函数;
(2)确定点
的位置,使绿化面积最大,并求出最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745e0525a41fe2e2a7739c75a942290b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe6f6ad331cdd5646a2489668892b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe6f6ad331cdd5646a2489668892b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d7b4bb12628d5ed455d814b8aafa1f.png)
![](https://img.xkw.com/dksih/QBM/2020/2/24/2406147876872192/2406584251752448/STEM/b47cf668-6825-415c-a805-f95075b6e2c4.png?resizew=207)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2374848745e15d9a1b7f96f2c594a6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-02-25更新
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4卷引用:宁夏银川二中2021届高三年级上学期统练三数学(理)试题