为了维护我国海洋权力,海监部门对我国领海实行了常态化巡航管理.如图,正在执行巡航任务的海监船以每小时60海里的速度向正东方向航行,在
处测得灯塔
在北偏东
方向上,海监船继续向东航行1小时到达
处,此时测得灯塔
在北偏东
方向上.
(1)求
处到灯塔
的距离;
(2)已知灯塔
的周围50海里内有暗礁,若海监船继续向正东方向航行是否安全?(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知灯塔
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368763128d1ad0ffad5d859fef834d0a.png)
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714717772447744/2716105588236288/STEM/a3b88677-49e3-446f-aa82-68f10929ddf5.png)
更新时间:2021-05-07 20:33:52
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【推荐1】如图,在一笔直的海岸线
上有A、B两个观测站,
,从A测得船C在北偏东
的方向,从B测得船C在北偏东
的方向.
![](https://img.xkw.com/dksih/QBM/2023/3/7/3189186872631296/3199514088742912/STEM/0de93a6cc27b42f193c9a3f3e1bb267a.png?resizew=187)
(1)求
的度数;
(2)船C离海岸线
的距离(即
的长)为多少?(不取近似值)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1dac31fb8c5cd0436e12fde15a9f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
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![](https://img.xkw.com/dksih/QBM/2023/3/7/3189186872631296/3199514088742912/STEM/0de93a6cc27b42f193c9a3f3e1bb267a.png?resizew=187)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
(2)船C离海岸线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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【推荐2】(1)如图1,已知直线
和
分别交于
两点,点
在
上,
,则
和
的位置关系是________.
(2)如图2,点A在B处北偏东
方向,在C处的北偏西
方向,则
________.
(3)如图3,
和
的平分线交于
交
于点
,试说明:
;并探究
与
的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
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(2)如图2,点A在B处北偏东
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4397f6e86c69e6b597e7e8635afbfb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/3/a3af907b-456a-4237-8eab-0baddc80ddcc.png?resizew=136)
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
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【推荐1】如图,公路MN为东西走向,在点M北偏东36.5°方向上,距离5千米处是学校A,在点M北偏东45°方向上距离
千米处是学校B,求A、B两点之间的距离.(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec978eb43bc4f9e7df83b0d0195dcda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cdbf9849bb281f8d06bce80a92da492.png)
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名校
【推荐2】如图,在一笔直的海岸线l上有A、B两个观测站,
,从A测得船C在北偏东
的方向,从B测得船C在北偏东
的方向.
求
的度数;
船C离海岸线l的距离
即CD的长
为多少?
不取近似值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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