如图,为了测量两山顶
,
之间的距离,飞机沿水平方向
,
两点进行测量,已知
,
,
,
在同一个铅锤平面内(如图所示).已知在点
处测得山项
,
的俯角分别为75°,30°,点
处测得山顶
,
的俯角为45°,60°.已知
.求两山顶点
,
之间的距离
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2663db2bb225151c06943cfd853f488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/129dd873-831a-4d90-ad39-8c9a16009b39.png?resizew=234)
更新时间:2021-07-21 17:37:44
|
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解答题-问答题
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【推荐1】如图,A,B两点在河的同侧,且A,B两点均不可到达,测量者在河岸边选定两点C,D,测得
,同时在C,D两点分别测得
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/f984fd97-4b97-4e2c-83b0-6f1873683ccc.png?resizew=203)
(1)求B,C两点间的距离;
(2)求A,B两点间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29762df77405dd8f71027c2ed359d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465da48c4b47d48b29faa40d17ebb94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b24fcbb8ceaa87c57624b303fb37e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93000fa01ef17a2ff33bc82e803069c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c971b9d4014fdfc16d90d9da1f0f9187.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/f984fd97-4b97-4e2c-83b0-6f1873683ccc.png?resizew=203)
(1)求B,C两点间的距离;
(2)求A,B两点间的距离.
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解答题-问答题
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适中
(0.65)
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【推荐2】如图所示,在海岛
上有一座海拔0.5千米的山,山顶设有一个观察站
(观察站高度忽略不计),已知在某时刻观测员测得一轮船在岛北偏东
方向,俯角为
的
处,若10分钟后,又测得该船在海岛北偏西
方向,俯角为
的
处.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/dbfb9c95-18c8-40fd-aaa4-c7c0e083a9ff.png?resizew=256)
(1)求船的航行速度是每小时多少千米?
(2)若又经过一段时间后,船到达海岛的正西方向的
处,问此时船距岛
的距离?
![](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/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/dbfb9c95-18c8-40fd-aaa4-c7c0e083a9ff.png?resizew=256)
(1)求船的航行速度是每小时多少千米?
(2)若又经过一段时间后,船到达海岛的正西方向的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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