名校
1 . 2023年的春节,人们积蓄已久的出行热情似乎在这一刻被引爆,让旅游业终于迎来真正意义上的“触底反弹”.如图是某旅游景区中的网红景点的路线图,景点A处下山至
处有两种路径:一种是从A沿直线步行到
,另一种是先从A沿索道乘缆车到B,然后从B 沿直线步行到
.现有甲、乙两位游客从A处下山,甲沿
匀速步行,速度为
.在甲出发
后,乙从A乘缆车到B ,在B 处停留
后,再从B 匀速步行到
.假设缆车匀速直线运行的速度为
,索道
长为
,经测量,
.
的长;
(2)乙出发多少分钟后,乙在缆车上与甲的距离最短?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/20fa315234c42ac12a1de359c1f98a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9ef98b758ca2e2ee0f682dca323848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17166d730bec1b4ee345727b42265ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ed98bbd61c59726cf5e96bec173b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50073d90fe64d49ac2c16047266f64c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe43f68cd6f2851673b69f0fc0e243b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)乙出发多少分钟后,乙在缆车上与甲的距离最短?
您最近一年使用:0次
2023-04-20更新
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8卷引用:河北省南宫中学2022-2023学年高一下学期5月月考数学试题
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2 . 据气象部门报道某台风影响我国东南沿海一带,测定台风中心位于某市南偏东60°,距离该市400千米的位置,台风中心以40千米/时的速度向正北方向移动,距离台风中心350千米的范围都会受到台风影响,则该市从受到台风影响到影响结束,持续的时间为_________ 小时.
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2023-02-06更新
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2卷引用:河北省衡水中学2023届高三上学期三调数学试题
3 . 如图,在海岸边的观测站
点发现南偏西
方向上,距离
点
海里的
处有一艘走私船,立刻通知了停在
的正东方向上,且距离
点
海里的
处的缉私艇,缉私艇立刻以
海里/时的速度追截走私船,此时,走私船正以
海里/时的速度从
处向正南方向逃窜.
(2)缉私艇至少需要多长时间才能追上走私船?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466a36327b38db611ffca745e205cab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fdaf9c9ae3eb3d4077ea8aa38dd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)缉私艇至少需要多长时间才能追上走私船?
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2022-06-10更新
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521次组卷
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5卷引用:河北省沧州市东光县等三县联考2022-2023学年高一下学期4月月考数学试题
河北省沧州市东光县等三县联考2022-2023学年高一下学期4月月考数学试题(已下线)期末专项02 解三角形-期末高分必刷题型(人教A版2019必修第二册)河南省名校联盟2021-2022学年高一下学期4月质量检测数学试题黑龙江省鸡西市2021-2022学年高一下学期期末数学试题(已下线)6.4.3.3 余弦定理、正弦定理应用举例——课后作业(巩固版)
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4 . 海上某货轮在
处看灯塔
在货轮北偏东
,距离为
海里处;在
处看灯塔
,在货轮的北偏西
,距离为
海里处;货轮由
处向正北航行到
处时看灯塔
在北偏东
,则灯塔
与
处之间的距离为( )
![](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/da40ebcfcd7d7603d19caaaf5fb82360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f52f128086257ab7513889dbf6c7550.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/3598b267a362446bdec58695f55575fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6093eebca8f3ff82ce9298feb197e955.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca324bb4a5a681113d072f3aec74058a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.![]() | C.![]() | D.12 |
您最近一年使用:0次
2022-05-11更新
|
475次组卷
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5卷引用:河北省承德市高新区第一中学2022-2023学年高一下学期4月月考数学试题
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解题方法
5 . 重庆、武汉、南京并称为三大“火炉”城市,而重庆比武汉、南京更厉害,堪称三大“火炉”之首.某人在歌乐山修建了一座避暑山庄
(如图).为吸引游客,准备在门前两条夹角为
(即
)的小路之间修建一处弓形花园,使之有着类似“冰淇淋”般的凉爽感,已知弓形花园的弦长
且点
,
落在小路上,记弓形花园的顶点为
,且
,设
.
,
用含有
的关系式表示出来;
(2)该山庄准备在
点处修建喷泉,为获取更好的观景视野,如何规划花园(即
,
长度),才使得喷泉
与山庄
距离即值
最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5c26795dd1d7bd5cebaa980a594512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7d95b6bf37b18d4e11d4d1464244b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)该山庄准备在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c19fa4cd646f4d877c3e58cc346651.png)
您最近一年使用:0次
2020-10-15更新
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629次组卷
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8卷引用:河北省正定中学2022-2023学年高二下学期月考四数学试题