解题方法
1 . 如图,某市拟在长为
的道路
的一侧修建一条运动赛道,赛道的前一部分为曲线段
,该曲线段为函数
,
的图象;赛道的后一部分为折线段
,若
的内角
,
,
的对边分别为
,
,
.且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/76a5279d-95cb-4006-9895-7472fd8df6f3.png?resizew=281)
(1)求角
和
,
两点间的距离
的值;
(2)求折线段赛道
的长
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90eee1ed6e52706ac4dbcf2afa4c3555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33d448baf32fedefa95ee134fe78f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b9f8461201b496de4710c1abc438f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc868a2077000982bd4594d95cfc351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7a9c97739393de8b51d66355594cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882c4b02abccf9d4aa24bc2a20ef9d82.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/76a5279d-95cb-4006-9895-7472fd8df6f3.png?resizew=281)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求折线段赛道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7a9c97739393de8b51d66355594cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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