1 . 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
m,
,
,
,则
两点的距离为______ m.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3669391fd2240a2bdac4b4bb1a651202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1dbe60e674d9555b544232b6f9e7870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04be5a687f7678b4c96fde07699a87d9.png)
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![](https://img.xkw.com/dksih/QBM/2021/9/5/2801457452662784/2801841819779072/STEM/23bf9ba1-e83f-40af-bf82-0127eeecfa16.png?resizew=317)
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2021-09-05更新
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1836次组卷
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25卷引用:四川省华蓥中学高2021届高三数学(文)仿真试题
四川省华蓥中学高2021届高三数学(文)仿真试题四川省华蓥中学2021届高三高考数学(理)仿真试题四川省叙永第一中学校2022届高三第一次诊断性考试模拟题数学文科试题(一)(已下线)江苏省南通市如皋市2020-2021学年高二上学期期末数学试题江苏省无锡市太湖高级中学2020-2021学年高一下学期期中数学试题福建省福州第八中学2020-2021学年高一下学期期中考试数学试题江西省抚州市黎川县第一中学2020-2021学年高一下学期期末数学(理)试题江苏省宿迁市2020-2021学年高一下学期期末数学试题江苏省南通市如皋中学2020-2021学年高一下学期第二次阶段考试数学试题福建省莆田锦江中学2020-2021学年高一下学期期中考试数学试题广东省顺德德胜学校2020-2021学年高一下学期期中数学试题黑龙江省大庆中学2021-2022学年高二上学期开学考试数学试题广东省佛山市南海区罗村高级中学2020-2021学年高一下学期第一次阶段测试数学试题宁夏银川三沙源上游学校2021-2022学年高二上学期月考(一)数学(理)试题河南省三门峡市2021-2022学年高三上学期阶段性检测文科数学试题江苏省镇江市扬中市第二高级中学2021-2022学年高一下学期期中数学试题(已下线)专题3 解三角形-学会解题之高三数学321训练体系【2022版】广东省顺德区德胜学校2021-2022学年高一下学期期中数学试题江苏省无锡市市北高级中学2021-2022学年高一下学期期中数学试题天津市微山路中学2021-2022学年高一下学期阶段考试数学试题(已下线)第6章 平面向量及其应用(典型30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(已下线)3.6 三角函数的专题综合运用(精练)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)重庆市酉阳县第三中学校2021-2022学年高一下学期第二次月考数学试题黑龙江省大庆市让胡路区大庆中学2021-2022学年高二上学期数学开学考试试题沪教版(2020) 25天高考冲刺 双新双基百分百17
2 . 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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d62fa5723dc36286b8f5494f993e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
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![](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://img.xkw.com/dksih/QBM/editorImg/2022/12/31/4a28fd8e-2265-419f-89e5-0e76e070334d.png?resizew=124)
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2019-10-30更新
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550次组卷
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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
3 . 在相距2千米的
、
两点处测量目标
,若
,则
、
两点之间的距离是_______________ 千米.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa062f17e1e875505942aeacf525011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2019-01-30更新
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18卷引用:北京市延庆区2017届高三一模考试数学理试题
北京市延庆区2017届高三一模考试数学理试题2011年上海市普通高中招生考试文科数学2011年上海市普通高中招生考试理科数学(已下线)2011-2012学年山西省山大附中高一下学期期末考试数学试卷(已下线)同步君人教A版必修五第一章 1.2应用举例高中数学人教版 必修5 第一章 解三角形 1.2 应用举例广西玉林市陆川中学2017-2018学年高一3月月考数学(文)试题广西陆川县中学2017-2018学年高一下学期3月月考数学(文)数学试题北京海淀教师进修学校附属实验学校2016-2017学年高一下学期期中考试数学试题江西省南昌市进贤县第一中学2019-2020学年高一下学期第三次月考数学(文)试题(已下线)考点30 正弦定理与余弦定理(2)-备战2021年高考数学经典小题考前必刷(新高考地区专用)(已下线)6.4.3 第3课时 余弦定理、正弦定理应用举例(练习)-2020-2021学年下学期高一数学同步精品课堂(新教材人教版必修第二册)沪教版(2020) 必修第二册 高效课堂 第六章 三角 6.3 解三角形(4)上海市控江中学2021-2022学年高一下学期期末数学试题北京一零一中学2020届高三上学期9月月考(二)数学试题(已下线)重组卷05北京名校2023届高三二轮复习 专题二 三角与平面向量 第2讲 三角变换与解三角形北京名校2023届高三一轮总复习 第3章 三角函数 3.8 解三角形(2)
10-11高一下·浙江杭州·期中
4 . 海上一艘轮船以
的速度向正东方向航行,在
处测得小岛
在北偏西
的方向上,小岛
在北偏东
的方向上,航行
后到达
处测得小岛
在北偏西
的方向上,小岛
在北偏西
的方向上,则两个小岛间的距离为____ nmile.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92f2dbcb373c3b17666efb70acbfddc.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/996bf3d35b6763cbc1a423b13a9df2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996bf3d35b6763cbc1a423b13a9df2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f464f339e899f2045f56c699fb5908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c6344f4cb0181eb91a1aacf203356f.png)
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5 . 某沿海四个城市
、
、
、
的位置如图所示,其中
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23e756d10fd459bf5359b756b6c094d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b250e4276bf3f328b03a66765541f6.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb6d9ba5a0415208615282f8b7953a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b250e4276bf3f328b03a66765541f6.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480c745b53ac6f2c6bda1ccec4ff97b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b250e4276bf3f328b03a66765541f6.png)
.现在有一艘轮船从
出发以![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b250e4276bf3f328b03a66765541f6.png)
的速度向
直线航行,
后,轮船由于天气原因收到指令改向城市
直线航行,则收到指令时该轮船到城市
的距离是__________ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b250e4276bf3f328b03a66765541f6.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b250e4276bf3f328b03a66765541f6.png)
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![](https://img.xkw.com/dksih/QBM/2017/4/18/1668561553989632/1668641589780480/STEM/b33e0a41c8774f7199322590bbeaab35.png?resizew=263)
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2011·黑龙江哈尔滨·三模
6 . 某巡逻艇在
处发现在北偏东
距
处8海里处有一走私船,正沿东偏南
的方向以
海里/小时的速度向我岸行驶,巡逻艇立即以
海里/小时的速度沿直线追击,问巡逻艇最少需要多长时间才能追到走私船,并指出巡逻艇航行方向.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7dc603317eb90974c75efec9f02b1b.png)
![](https://img.xkw.com/dksih/QBM/2011/5/18/1570208444530688/1570208449527808/STEM/2695c36e-2188-49c5-ad14-3cb4bd33c689.png?resizew=271)
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