如图,哈三中某研究性学习小组同学为测量哈尔滨防洪纪念塔
的高度及塔顶
相对取景点
与
的张角
.(其
在一水平面上,纪念塔垂直水平面点
,且
三点共线),小组同学在
仰角分别为
,若
米.
![](https://img.xkw.com/dksih/QBM/2021/12/26/2880502370582528/2887473095294976/STEM/95483661fec94e568b5b3aca8e4a50b6.png?resizew=195)
(1)求防洪纪念塔
的高度.
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36ff76f9f1ee12db562cde7a58b8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195f3742cd450167b29043ef1b279035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28855a0db693584aabac1df99dfade3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9909276965b7e30b049baf8b7685a39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955f9b8fc3ce8e0f8f1dd580cc2cde4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9859fbe2245bd620f56fb4076dca8b.png)
![](https://img.xkw.com/dksih/QBM/2021/12/26/2880502370582528/2887473095294976/STEM/95483661fec94e568b5b3aca8e4a50b6.png?resizew=195)
(1)求防洪纪念塔
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d506967e42a6d6c7f4eab6de89dbda.png)
更新时间:2022-01-04 23:21:57
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解题方法
【推荐1】在
中,角
的对边分别为
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(1)求角
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9d6e9d4677eab72c35da219ad9376f.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818b79c5c0af1ad3ed94a2ec47f4cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf0a846c047627d83da67efb17b24a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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【推荐2】已知函数
.
(1)当
时,求函数
的最大值;
(2)设
的内角
的对应边分别为
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,若向量
与向量
共线,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d51f2bbd65c35ced6e71587bd4f0df.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c236daf2b2f842a46e62a0a0e6162e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a41a8c9b2ca7daa841175135fe70655.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e81abaf1e9c32242fd6e77f17deff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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【推荐1】如图所示,甲乙两人站在同一水平面上,与缆车
在同一铅垂平面内且相距50米.假设甲、乙两人的视线处于同一水平线且缆车处于静止状态,甲处观察缆车
的仰角为
,乙处观察缆车
的仰角为
,甲处观察缆车
的仰角为
,乙处观察缆车
的仰角为
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相对甲乙所在水平面的高度;(结果用
表示)
(2)若测得
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
(2)若测得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47cb5378b81fc6b435b631e90587f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
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【推荐2】数学实践活动小组到附近的湿地公园测量园内雕塑的高度.如图,用测角仪在
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的仰角为
,再往雕塑方向前进
至
处,测得仰角为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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