如图,我海监船在
岛海域例行维权巡航,某时刻航行至
处,此时测得其东北方向与它相距
海里的
处有一外国船只,且
岛位于海监船正东
海里处.
![](https://img.xkw.com/dksih/QBM/2017/10/11/1793117601767424/1794447361032192/STEM/849486059c034c0c9c2c4e9588def8ce.png?resizew=224)
(Ⅰ)求此时该外国船只与
岛的距离;
(Ⅱ)观测中发现,此外国船只正以每小时
海里的速度沿正南方向航行.为了将该船拦截在离
岛
海里处,不让其进入
岛
海里内的海域,试确定海监船的航向,并求其速度的最小值.
(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718358dfd51863e2db379726913fb352.png)
![](https://img.xkw.com/dksih/QBM/2017/10/11/1793117601767424/1794447361032192/STEM/849486059c034c0c9c2c4e9588def8ce.png?resizew=224)
(Ⅰ)求此时该外国船只与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(Ⅱ)观测中发现,此外国船只正以每小时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2678e32d57edbf06d75e1a37cb22857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70cb0f1e9068d751946c44e30e0a8a85.png)
更新时间:2016-12-05 02:18:09
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【推荐1】如图,O,P,Q三地有直道相通,
千米,
千米,
千米.现甲、乙两警员同时从O地出发匀速前往Q地,经过
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68f05ddd82891bf625ef5ffe6cc0bcc.png)
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【推荐3】某市为应急处理突如其来的新冠疾病,防止疫情扩散,采取对疑似病人集中隔离观察.如图,征用了该市一半径为2百米的半圆形广场及其东边绿化带设立隔离观察服务区,现决定在圆心O处设立一个观察监测中心(大小忽略不计),在圆心O正东方向相距4百米的点A处安装一套监测设备,为了监测数据更加准确,在半圆弧上的点B以及圆弧外的点C处,再分别安装一套监测设备,且满足
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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