一台风中心于某天中午12:00在港口
的正南方向,距该港口
千米的海面
处形成(如图),并以每小时
千米的速度向北偏东
方向上沿直线匀速运动,距台风中心
千米以内的范围将受到台风的影响,请建立适当的坐标系.
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/e2411f85b0ff4b929d127e4082085db2.png)
(1)当台风中心离港口
距离最近时,求该台风所影响区域的边界曲线方程;
(2)若港口
于当天下午17:00开始受到此台风的影响,(i)求
的值;(ii)求港口
受该台风影响持续时间段的长.
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/cad9541cbf1c4c4db8e7f7672c319be2.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/7c56421c378549ddaadc08061dbfb6a2.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/7d4e72dd473b40aba6d262e698be28c6.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/a22c0916988d492a8f67c6291d768997.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/fb5f999fff054b818140d7f103523bad.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/2003a83b4cf64afca0e62d7df56e9933.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/e2411f85b0ff4b929d127e4082085db2.png)
(1)当台风中心离港口
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/cad9541cbf1c4c4db8e7f7672c319be2.png)
(2)若港口
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/cad9541cbf1c4c4db8e7f7672c319be2.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/a22c0916988d492a8f67c6291d768997.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572876590702592/1572876596994048/STEM/cad9541cbf1c4c4db8e7f7672c319be2.png)
更新时间:2016-12-04 15:28:32
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【推荐3】假期间,小致同学临时起意想去电影院看电影,他想选择一个视角最好的座位.由于电影的观众比较多,当他打开订票软件时,只剩下第1至15排最边上的15个座位.
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