名校
解题方法
1 . 如图,某公园拟划出形如平行四边形
的区域进行绿化,在此绿化区域中,分别以
和
为圆心角的两个扇形区域种植花卉,且这两个扇形的圆弧均与
相切.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/81b7720d-9243-42e8-88b5-20e7d7732db9.png?resizew=240)
(1)若
,
,
(长度单位:米),求种植花卉区域的面积;
(2)若扇形的半径为10米,圆心角为
,则
多大时,平行四边形绿地
占地面积最小?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3702b5620dbee356a8e560c78d223ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/81b7720d-9243-42e8-88b5-20e7d7732db9.png?resizew=240)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64756816485784ee017b03ec7574f75b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6848ef9be4dd05447bdecbc3f5eebd7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50b8c699f9dac858f5f5df565313db4.png)
(2)若扇形的半径为10米,圆心角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cde7aace5b888a1a1c26fb911e2f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b47abcacc10f90489c0d52a9e269ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2022-06-23更新
|
1444次组卷
|
8卷引用:上海市虹口区2022届高三二模数学试题
上海市虹口区2022届高三二模数学试题(已下线)专题13 解三角形-备战2023年高考数学母题题源解密(全国通用)湖南省长沙市长郡中学2022-2023学年高二上学期第一次月考数学试题(已下线)第06讲 任意角三角函数、诱导公式及恒等式-2江西省赣州市赣县第三中学2022-2023学年高二上学期开学考试数学试题(已下线)专题04三角函数必考题型分类训练-2上海市位育中学2023届高三下学期开学考试数学试题(已下线)模块四 专题3 三角函数与解三角形
名校
解题方法
2 . 图所示,我国黄海某处的一个圆形海域上有四个小岛,小岛
与小岛
、小岛
相距都为
公里,与小岛
相距公里
(其中
为常数),已知角
为钝角,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/4f572de0-f84b-40d4-af22-e6ca10e78f12.png?resizew=162)
(1)求小岛
与小岛
之间的距离;(用
表示)
(2)求四个小岛所形成的四边形
的面积;(用
表示)
(3)记
为
,
为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f3383decde66462a311444366c4bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bf4594e1e656c8afaaf008504509d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ee608882881caff2f1e223177424ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/4f572de0-f84b-40d4-af22-e6ca10e78f12.png?resizew=162)
(1)求小岛
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求四个小岛所形成的四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d16fab0f52c8af5abba0bf19a06ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bc8e50eeccced1d7f3bc52e09a7d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d8d24b6d6dd0717c226569e345d9f0.png)
您最近一年使用:0次
2021-08-26更新
|
468次组卷
|
3卷引用:上海市复兴高级中学2021-2022学年高一下学期期中数学试题