1 . 如图,设M,N为某海边相邻的两座山峰,到海平面的距离分别为 100米,50米.现欲在M、N之间架设高压电网,须计算 M,N之间的距离.勘测人员在海平面上选取一点 ,利用测角仪从P点测得的M,N点的仰角分别为
,
,并从P点观测到M,N点的视角(即角
)为
,则 M,N之间的距离为________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/20/5cecffbc-e648-4401-820b-e18d64a43e3e.png?resizew=136)
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2023-09-19更新
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373次组卷
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5卷引用:陕西省咸阳市实验中学2022-2023学年高二上学期开学质量检测数学试题
陕西省咸阳市实验中学2022-2023学年高二上学期开学质量检测数学试题黑龙江省牡丹江市第一高级中学2022-2023学年高一下学期4月月考数学试题黑龙江省哈尔滨市第一二二中学校2023-2024学年高三上学期10月月考数学试题(已下线)第六章:平面向量及其应用-高一数学同步精品课堂(人教A版2019必修第二册)(已下线)11.3 余弦定理、正弦定理的应用-【帮课堂】(苏教版2019必修第二册)
2 . 如图,某次海上联合作战演习中,红方一艘侦察艇在
处发现在北偏东
方向,相距
的水面上的
处,有蓝方一艘小艇正以每小时
的速度沿南偏东
方向前进,红方侦察艇立即以每小时
的速度,沿北偏东
方向拦截蓝方的小艇,则红方侦察艇拦截住蓝方小艇最少需要________ 小时.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/df9af04e-5c0a-4f42-bb60-6ed41fa069f3.png?resizew=159)
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2023-12-20更新
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286次组卷
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4卷引用:陕西省咸阳市实验中学 2022-2023学年高二上学期第三次月考数学(理)试题
陕西省咸阳市实验中学 2022-2023学年高二上学期第三次月考数学(理)试题陕西省咸阳市实验中学 2022-2023学年高二上学期第三次月考数学(文)试题(已下线)第11章 解三角形 章末题型归纳总结(2)-【帮课堂】(苏教版2019必修第二册)(已下线)专题1.8 解三角形的实际应用-重难点突破及混淆易错规避(人教A版2019必修第二册)
3 . 一艘海轮从
处出发,以每小时60海里的速度沿南偏东
方向直线航行,30分钟后到达
处.在
处有一座灯塔,海轮在
处观察灯塔,其方向是南偏东
,在
处观察灯塔,其方向是北偏东
,那么
两点间的距离是________ 海里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225803a7818b0985a1b96d8e0a627251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
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4卷引用:模块四 专题4 暑期结束综合检测4(能力卷)
4 . 如图,某货轮在
处看灯塔
在货轮的北偏东
,距离为
,货轮由
处向正北航行到
处时,再看灯塔
在北偏东
,则
与
间的距离为________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/99c7fefa-e6da-4702-9c78-dd4aa0f871d5.png?resizew=126)
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2023-04-26更新
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4卷引用:第02讲 正弦定理和余弦定理12种常见考法归类(4)
(已下线)第02讲 正弦定理和余弦定理12种常见考法归类(4)新疆乌鲁木齐市第八中学2022-2023学年高一下学期期中考试数学试题江西省万安中学2022-2023学年高一下学期期中数学试题(已下线)第11章 解三角形 章末题型归纳总结(1)-【帮课堂】(苏教版2019必修第二册)
5 . 高椅岭位于湖南省郴州市,属原生态丹霞景区.红岩绿水,险山奇涧,生态优美.为了测高椅岭“椅背”的高度,甲和乙同时在海拔为300米的
,
两点观测“椅背”的最高点
,从
点和
点观测到
点的仰角分别为
,
,且
米,则高椅岭“椅背”的海拔约为______ 米.(结果精确到整数部分,取
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/ee5c8801-b056-437a-b25e-1a6354ba0302.png?resizew=291)
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6 . 甲,乙两艘渔船从港口
处出海捕鱼,甲在
处西北方向上
的
处捕鱼,乙在
处北偏东
方向上的
处捕鱼,已知
处在
处北偏东
的方向上,则
,
之间的距离为_____________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc583b8589734011f83bd0e0f0fa146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
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2022-11-16更新
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5卷引用:余弦定理、正弦定理应用举例
余弦定理、正弦定理应用举例青海省海东市2021-2022学年高一下学期期末考试数学试题(已下线)专题14 平面向量的应用(已下线)11.3 余弦定理、正弦定理的应用(分层练习)-2022-2023学年高一数学同步精品课堂(苏教版2019必修第二册)江苏省无锡市江阴市三校联考2023-2024学年高一下学期4月期中数学试题
名校
7 . 如图,为了测定河两岸点
与点
间的距离,在点
同侧的河岸选定点
,测得
,
,
,则点
与点
间的距离为__________ m.
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e0b41cd45fba881194a02ec19bc26e.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/5a0b7156-e811-496c-a318-14672667e565.png?resizew=175)
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2023-02-26更新
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6卷引用:广西2021-2022学年高二上学期12月高中学业水平考试数学试题
8 . 如图,小明同学在山坡上
处观测到一辆汽车在一条水平的公路上沿直线匀速行驶,小明在
处测得公路上
两点的俯角分别为
,且
.若山坡高为
(点
在同一水平面),汽车从
点到
点历时
,则这辆汽车的速度为__________
.(结果精确到整数,参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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名校
9 . 已知轮船A和轮船B同时从C岛出发,A船沿北偏东30°的方向航行,B船沿正北方向航行(如图).若A船的航行速度为
nmile/h,1h后,B船测得A船位于B船的北偏东45°的方向上,则此时A,B两船相距______ nmile.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05185a60d5d37c5af32ffea71066b1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/11/2ded2ffb-c3b9-48d3-af68-fdc76ecff308.png?resizew=101)
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2022-07-05更新
|
631次组卷
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4卷引用:福建省南靖县第一中学2021-2022学年高二下学期期中考试数学试题
福建省南靖县第一中学2021-2022学年高二下学期期中考试数学试题重庆市名校联盟2021-2022学年高一下学期第一次联考数学试题(已下线)第04讲 正弦定理和余弦定理 (精讲) - 1黑龙江省哈尔滨市宾县第二中学2022-2023学年高一下学期第二次月考数学试题
10 . 一艘海轮从A地出发,沿固定航道匀速行驶,先沿北偏东
方向航行
小时后到达海岛B,然后从海岛B出发沿北偏东
方向航行一段时间到达海岛C,之后从海岛C出发沿南偏西
方向航行回到A地,则从海岛C回到A地所需时间是_____________ 小时.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a4c9b697e3df2b5469b71d3b5e47a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/29/e63d0eb9-856d-4695-8318-5a8622ad2ee6.png?resizew=190)
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