名校
1 . 如图,
两点在河的两岸,在
同侧的河岸边选取点
,测得
的距离
,则
两点间的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944debb3e6c67474b5c27cf9c12bceed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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12卷引用:北京市大兴区2021-2022学年高一下学期期末检测数学试题
北京市大兴区2021-2022学年高一下学期期末检测数学试题北京市第八十中学2022-2023学年高一下学期期中考试数学试题(已下线)第05讲 正弦定理和余弦定理的应用 (高频考点—精讲)(已下线)第12讲 余弦定理、正弦定理的应用(已下线)6.4.3.3余弦定理、正弦定理应用举例(课件+作业)湖北省武汉市第十一中学2022-2023学年高一下学期3月月考数学试题(已下线)6.4.3 课时3 余弦定理、正弦定理应用举例(精讲)-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)重庆市第十八中学2022-2023学年高一下学期期中数学试题湖南省益阳市桃江县2022-2023学年高一下学期7月期末数学试题(已下线)第六章 本章综合--数学思想训练【第二练】“上好三节课,做好三套题“高中数学素养晋级之路重庆市第八中学校2023-2024学年高一下学期4月阶段练习数学试题 海南省琼海市嘉积中学2023-2024学年高一下学期教学质量监测三(月考)数学试题及答案
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2 . 如图,设
,
两点在河的两岸,在点
所在的河岸边选定一点
,测出
的距离为
,
,
后,就可以计算出
,
两点的距离为( )(其中
,
,精确到
)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/4a2b4fbd-f1d1-4cde-8b32-247c66288ed0.png?resizew=139)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c56c87fd6bf8a44244ba51a9d244e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e47690ed332c573186992b6d25654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8aad200f47027b65a5872c21a5cf3f5.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/1253ba63783e3d888546b34a7abc138b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d12132dbe0d94f3e1d830f3f3e14f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/4a2b4fbd-f1d1-4cde-8b32-247c66288ed0.png?resizew=139)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:北京市平谷区2021-2022学年高一下学期期末考试数学试题
北京市平谷区2021-2022学年高一下学期期末考试数学试题(已下线)6.4.3 课时3 余弦定理、正弦定理应用举例(精练)-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)河南省焦作市第一中学2022-2023学年高一下学期4月月考数学试题
名校
解题方法
3 . 已知
中,点
在边
上,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cabcef1cee1213140371c499339864.png)
(1)若
,求
的值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99b9bc37ccdd21fbad787faa9827117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cabcef1cee1213140371c499339864.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440e9917e59b3fa537536fb88fe70a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44ce799d9835933017b9cac05ed6077.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746853ea6d76bd7cccc6bdd6c739aed7.png)
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名校
解题方法
4 . 已知
中,角A,B,C所对的边分别为a,b,c,若
,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a641da1c70d0ad481082af87e98ccbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.钝角三角形 | B.等边三角形 |
C.等腰直角三角形 | D.直角三角形,但不是等腰三角形 |
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9卷引用:北京市朝阳区2021-2022学年高一下学期期末质量检测数学试题
北京市朝阳区2021-2022学年高一下学期期末质量检测数学试题北京市海淀区北京一零一中学2023届高三上学期9月月考数学试题北京市清华附中2022-2023学年高一下学期3月月考数学试题北京工业大学附属中学2022-2023学年高一下学期期中考试数学试题北京市第一零一中学2024届高三上学期10月月考数学试题北京高一专题07解三角形(已下线)专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)北京景山学校2023-2024学年高一(1,2,3班)下学期期中考试数学试题(已下线)艺体生一轮复习 第四章 三角函数与解三角形 第22讲 解三角形【讲】
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解题方法
5 . 如图,某湿地为拓展旅游业务,现准备在湿地内建造一个观景台D.已知湿地夹在公路
之间(
的长度均超过
),且
.在公路
上分别设有游客接送点E,F,
.若要求观景台D建在E,F两点连线的右侧,并在观景台D与接送点E,F之间建造两条观光线路
与
,
,则观光线路
与
之和最长为___________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bd4f1b3a3f3e534c5c3b39266f1ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c636ead911187afcb992eb66315ce76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e408a05c641aa384fdd51f7b10cfda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://img.xkw.com/dksih/QBM/2022/7/7/3017297410400256/3018162952921088/STEM/e2b69e4a25b148248b8d39e559955272.png?resizew=176)
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5卷引用:北京市朝阳区2021-2022学年高一下学期期末质量检测数学试题
6 . 在
中,
,
,
.
(1)求
和
的值;
(2)求BC边上的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8c4fb43303919582b421138d06e203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284a563413dc0532138fb2a64db8cc2b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)求BC边上的高.
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7 . 如图,甲船在A处,乙船在甲船正南方向距甲船
海里的
处,乙船以每小时
海里的速度向正北方向行驶,而甲船同时以每小时
海里的速度由A处向南偏西
方向行驶,则经过_______ 小时后,甲、乙两船相距最近.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://img.xkw.com/dksih/QBM/2022/7/7/3017363572719616/3017430414745600/STEM/69243b6150774966bccf9bddcc51c09c.png?resizew=129)
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8 . 已知凸四边形
满足
,则符合题意且不相似的凸四边形
的个数为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687f4f5800d3bc70d884823fb1a452cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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9 . 某校研究性学习小组想要测量某塔的高度,现选取与塔底
在同一个水平面内的两个测量基点A与
,现测得
,
,
米,在点A处测得塔顶
的仰角为
,则塔高
为( )米.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/ad52a33a-cf9d-4a38-a055-f7e2811481dc.png?resizew=156)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6651d5001a305f6cd288804425afa174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009b72f07fb96004839468ad6d93c997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf7a191ebf8bc6ad30137e001d18be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/ad52a33a-cf9d-4a38-a055-f7e2811481dc.png?resizew=156)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5卷引用:北京市通州区运河中学2022-2023学年高一下学期3月月考数学试题
名校
10 . 如图所示,为测量山高
,选择A和另一座山的山顶
为测量观测点,从A点测得
点的仰角
点的仰角
以及
在C点测得
,若山高
米,则山高
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/5d2105bc-270a-4d3b-a302-370ad9f363f5.png?resizew=156)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cc0399f51aa2b0816c95fea6e38080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f97827d23a27efaf3d639f3abe430c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45a14fe0956eac5b33e84879c45ed57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf21466b57fcf8b03fa9aec390f1673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ffc1cda53680f40e876cd8633c2461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/5d2105bc-270a-4d3b-a302-370ad9f363f5.png?resizew=156)
A.![]() | B.360米 | C.240米 | D.320米 |
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