23-24高三上·山东德州·期中
解题方法
1 . 现有一空地,将其修建成如图所示的八边形
形状的公园.已知图中四边形
(
)是周长为4的矩形,
与
,
与
均关于直线
对称,直线
交
于点
,直线
交
于点
.设
,四边形
的面积为
.根据规划,图中四边形
区域所示的地面将硬化,剩余区域即图中阴影部分将种植树木和草皮.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/21/61ddaeeb-f455-41c2-a7ba-7615cee9c280.png?resizew=168)
(1)求
关于
的函数关系式;
(2)当
取何值时,阴影部分区域面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a971d58cea916d4cfac6fde8342ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2da1d50433aecf541991fd0f01773cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7a3d679b4dae63575903387a76ce45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9af2350fad62b04e28e710045b513c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9af2350fad62b04e28e710045b513c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/21/61ddaeeb-f455-41c2-a7ba-7615cee9c280.png?resizew=168)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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