1 . 如图,某货轮在A处看灯塔B在货轮的北偏东
,距离为
海里,货轮由A处向正北航行到D处时,再看灯塔B在北偏东
,则A与D间的距离为________ 海里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a4c9b697e3df2b5469b71d3b5e47a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f52f128086257ab7513889dbf6c7550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
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2 . 我国许多地方都有风格迥异的古塔.现在在某塔底共线三点
处分别测得塔顶P点的仰角为
,
,
,且
,设该塔高为
,示意图如图,则该塔高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5516a7ad03e49c26d9a6303365664fb.png)
________ m.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5516a7ad03e49c26d9a6303365664fb.png)
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3 . 如图,为测量山高
,选择
和另一座的山顶
为测量观测点,从
点测得
点的仰角
,
点的仰角
以及
;从
点测得
,已知山高
,则山高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b3247afa684b10c8e1da99cf33d5b.png)
__________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/78cf13bc6e231c6b85389be45fa9f40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897a87d38d3993ef4f300f9af099add0.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/ad4e94ae-5886-4a65-bd8c-ea850d9cca45.png?resizew=186)
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2023-04-18更新
|
503次组卷
|
4卷引用:甘肃省庆阳市宁县第二中学2022-2023学年高一下学期期中考试数学试题
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4 . 如图所示,为测一树的高度,在地面上选取
,
两点,从
,
两点分别测得树尖的仰角为
,
,且
,
两点之间的距离为
,则该树的高度为__________
![](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/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.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/e1611d15c7e1e4ab4a4a61537b3989d8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/9/9205712f-173e-4b22-8af3-fdcac99aa059.png?resizew=193)
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2023-04-09更新
|
490次组卷
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2卷引用:甘肃省武威市凉州区2022-2023学年高一下学期期中考试数学试题
5 . 小明同学为了估算位于哈尔滨的索菲亚教堂的高度,在索菲亚教堂的正东方向找到一座建筑物AB,高为
m,在它们之间的地面上的点M(B,M,D三点共线)处测得楼顶A,教堂顶C的仰角分别是15°和60°,在楼顶A处测得塔顶C的仰角为30°,则小明估算索菲亚教堂的高度为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae11cd87d8351076567d33c4f8b16f35.png)
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6 . 如图,某林场为了及时发现火情,设立了两个观测点B和C,在B点处观测到C的方位角为
,B点和C点相距25千米.某日两个观测站都观测到了A处出现火情,在B点处观测到A的方位角为
.在C点处,观测到A的方位角为
,则观测站C与火情A之间的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd043e9e5adc0719acc9f82d664a785c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1469ea40039c3124ce25b2d38e984644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391479c151307826c9765a47a5f10503.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/6fa93710-3d78-49aa-a29c-1ce502cd1d11.png?resizew=163)
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2023-03-15更新
|
431次组卷
|
3卷引用:甘肃省白银市靖远县第四中学2022-2023学年高一下学期4月月考数学试题
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7 . 兰州黄河楼,位于黄河兰州段大拐弯处,是一座讲述黄河故事的人文地标,是传承和记录兰州文化的精神产物,展现了甘肃浓厚的历史文化底蕴及黄河文化的独特魅力.某同学为了估算该楼的高度,采用了如图所示的方式来进行测量:在地面选取相距90米的C、D两观测点,且C、D与黄河楼底部B在同一水平面上,在C、D两观测点处测得黄河楼顶部A的仰角分别为
,并测得
,则黄河楼
的估计高度为_____________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9286063c4839c72f832f8a39a18a9745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0382c28547d3834ca71f3f0677695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/9fe1abb5-ecfe-4831-a544-fb4d527f6a02.png?resizew=171)
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2023-02-25更新
|
900次组卷
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7卷引用:甘肃省兰州市第五十八中学教育集团2022-2023学年高三下学期2月建标考试数学(文科)试题
8 . 海上有三个小岛A,B,C,测得
,若在B,C两岛的连线段之间建一座灯塔D,使得灯塔D到A,B两岛之间的距离相等,则B,D之间的距离___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11f4c27f8564c2aab0df2d1a305e985.png)
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2023-05-06更新
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279次组卷
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5卷引用:甘肃省陇西县第二中学2021-2022学年高一下学期第一次月考数学试题
甘肃省陇西县第二中学2021-2022学年高一下学期第一次月考数学试题(已下线)期末押题预测卷02(范围:必修第二册)(已下线)模块一 专题3 解三角形(2)(人教B)山东省潍坊市高密市第三中学2022-2023学年高一下学期6月月考数学试题(已下线)江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题变式题11-15
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9 . 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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150818491f4db5ec942f0fdfc62fc51a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96b9912eed54728ffff4e316c8b4882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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:甘肃省兰州第一中学2023-2024学年高一下学期3月月考数学试题
10 . 《九章算术》是中国古代第一部数学专著.《九章算术》中的“邪田”意为直角梯形,上、下底称为“畔”,高称为“正广”,非高腰边称为“邪”.如图所示,邪长为
,东畔长为
,在A处测得C,D两点处的俯角分别为49°和19°,则正广长约为______ .(注:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff61fe9d4e93d7cc338489d1c99c40.png)
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![](https://img.xkw.com/dksih/QBM/2022/5/6/2973606468370432/2974203389198336/STEM/8176e977-5bda-4128-b834-4a94ff6c6299.png?resizew=243)
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2022-05-07更新
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9卷引用:2022届甘肃省武威第六中学高三下学期第八次诊断考试数学(文)试题