名校
1 . 如图在小岛的正北方向上
的
处有一艘货轮,为了躲避礁石,该货轮沿南偏西
的方向航行,小岛
有一艘快艇沿北偏西
角方向行驶给货轮运送补给,双方无线电约定在点
处完成补给.货轮得到补给后将原航行方向顺时针旋转
向
地运送物资.
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734330199605248/2745509264318464/STEM/1a40f93654724929abbdd2fbdd4723cd.png?resizew=554)
(1)如图,若
地恰好在小岛
的正西方向上,满足
,求
两地的距离和
的正切值;
(2)如图
,若
地恰好在小岛
的西偏南
方向上,记
,令
,计算当
时,
的值;
(3)如图
,设
的面积为
,计算当
时,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afb7c93cbdc3be446346ecc7f1696d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a468a3f205065a4eac93d46b1c909b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ec10dca211ffb7d7e0c690b5ef4460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734330199605248/2745509264318464/STEM/1a40f93654724929abbdd2fbdd4723cd.png?resizew=554)
(1)如图,若
![](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/b7f2125dfe51596f77b060572f706cbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.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/798fb30c165c5c82d174236acd193041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0314c25563725d09d2fdd8f37ab48cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09f3fe44cb03b27b994c76c6ec2eb1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706de1dfc08a6b821a43e08d7bf390d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a76b8027a664ebe27b23e6842cbb9fb.png)
(3)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0575a0a359247cbf6ee653e9548cb77c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c28ac079a8062edfce9e544c63095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0575a0a359247cbf6ee653e9548cb77c.png)
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