2023高三上·全国·专题练习
名校
解题方法
1 . 为了测量水田两侧
两点间的距离(如图所示),某观测者在
的同侧选定一点
,测得
,则
两点间的距离为________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2 . 海洋蓝洞是地球罕见的自然地理现象,被喻为“地球留给人类保留宇宙秘密的最后遗产”,我国拥有世界上最深的海洋蓝洞.若要测量如图所示的蓝洞的口径
两点间的距离,现在珊瑚群岛上取两点
,测得
米,
,
(设定
四点在同一平面上),则
两点的距离为___________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/26/d142516d-8f64-4f78-ab85-e35815d88b60.png?resizew=182)
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2022-06-04更新
|
405次组卷
|
3卷引用:江西省宜春市丰城中学2023届高三上学期期中考试数学(文)试题
3 . 《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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2022-05-07更新
|
759次组卷
|
9卷引用:江西省赣州市第三中学2022届高三适应性考试(三)数学(文)试题
19-20高三·江西南昌·阶段练习
4 . 《列子·汤问》记有古代传说:“渤海之东,不知几亿万里,有大壑焉,实为无底之谷,其下无底,名曰归墟.”现代研究发现海洋蓝洞是海底突然下沉的巨大“深洞”,从海面上看蓝洞呈现出与周边水域不同的深蓝色,我国西沙群岛的“三沙永乐龙洞”为世界最深的海洋蓝洞,深达
.若要测量如图所示的蓝洞的口径
、
两点间的距离,现在珊瑚群岛上取两点
、
,且
、
、
、
四点共面,测得
,
,
,
,则
、
两点间的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b64d99216f93a7a39c7f31bd96647ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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5 . 如图所示,为了测量
、
处岛屿的距离,小海在
处观测,
、
分别在
处的北偏西
、北偏东
方向,再往正东方向行驶
海里至
处,观测
在
处的正北方向,
在
处的北偏西
方向,则
、
两岛屿的距离为__________ 海里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2019-10-30更新
|
550次组卷
|
9卷引用:江西省赣州市2017届高三第二次模拟考试数学(文)试题
2011高三·江西·专题练习
名校
6 . 一船向正北航行,到达
处时,看见正西方向有相距
海里的两个灯塔
、
恰好与它在一条直线上,继续航行半小时后到达
处时,看见灯塔
在船的南偏西
方向,灯塔
在船的南偏西
方向,则这只船的速度是每小时________ 海里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
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2020-04-20更新
|
241次组卷
|
8卷引用:2011届江西省莲塘一中高三习题精编(9)
(已下线)2011届江西省莲塘一中高三习题精编(9)(已下线)2015数学一轮复习迎战高考:3-8解三角形应用举例2020届宁夏银川二中上学期高三年级统练三数学(文)试题(已下线)专题4.7 正弦定理和余弦定理及其应用(精练)-2021年高考数学(理)一轮复习讲练测(已下线)考点25 正弦定理、余弦定理的应用(考点)-备战2021年新高考数学一轮复习考点微专题(已下线)专题4.7 正弦定理和余弦定理及其应用(精练)-2021年高考数学(理)一轮复习学与练四川省三台中学2019-2020学年高一4月空中课堂质量检测数学试题吉林省辽源市第五中学2019-2020学年高一下学期第二次月考数学(文)试题
7 . 如图,为了测量
,
两点间的距离,选取同一平面上的
,
两点,测出四边形
各边的长度:
,
,
,
,且
与
互补,则
的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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您最近一年使用:0次
2018-09-28更新
|
621次组卷
|
6卷引用:2016届江西吉安一中高三三模考试数学(理)试卷
8 . 如图,测量河对岸的塔高
时,可以选与塔底
在同一水平面内的两个测点
与
.测得
,
,
米,并在点
测得塔顶
的仰角为
, 则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
______ 米, 塔高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2010·北京朝阳·二模
9 . 上海世博园中的世博轴是一条1000
长的直线型通道,中国馆位于世博轴的一侧(如下图所示). 现测得中国馆到世博轴两端的距离相等,并且从中国馆看世博轴两端的视角为
. 据此数据计算,中国馆到世博轴其中一端的距离是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
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2016-11-30更新
|
1034次组卷
|
6卷引用:2011届江西省吉安一中高三第三次段考数学理卷
(已下线)2011届江西省吉安一中高三第三次段考数学理卷(已下线)2010年北京市朝阳区高三第二次模拟考试数学(文)(已下线)2010年北京市朝阳区高三第二次模拟考试数学(理)(已下线)2011届福建省高考模拟试题(1)(已下线)6.4.3.3余弦定理、正弦定理应用举例(课时作业)-2021-2022学年高一数学同步精品课件+课时作业(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-2021-2022学年高一数学10分钟课前预习练(苏教版2019必修第二册)