名校
1 . 如图,我海监船在
岛海域例行维权巡航,某时刻航行至
处,此时测得其东北方向与它相距
海里的
处有一外国船只,且
岛位于海监船正东
海里处.
![](https://img.xkw.com/dksih/QBM/2017/10/11/1793117601767424/1794447361032192/STEM/849486059c034c0c9c2c4e9588def8ce.png?resizew=224)
(Ⅰ)求此时该外国船只与
岛的距离;
(Ⅱ)观测中发现,此外国船只正以每小时
海里的速度沿正南方向航行.为了将该船拦截在离
岛
海里处,不让其进入
岛
海里内的海域,试确定海监船的航向,并求其速度的最小值.
(参考数据:
,
)
![](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/8c748e40ba21ac5063d3bccaa57ef278.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/718358dfd51863e2db379726913fb352.png)
![](https://img.xkw.com/dksih/QBM/2017/10/11/1793117601767424/1794447361032192/STEM/849486059c034c0c9c2c4e9588def8ce.png?resizew=224)
(Ⅰ)求此时该外国船只与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(Ⅱ)观测中发现,此外国船只正以每小时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2678e32d57edbf06d75e1a37cb22857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70cb0f1e9068d751946c44e30e0a8a85.png)
您最近一年使用:0次
2016-12-05更新
|
965次组卷
|
5卷引用:江西省莲塘一中2018届高三9月质量检测理科数学试题
2 . 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)
![](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/bc344dd373075c8ae2f1433ae499afd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a626567510a9d322489719fc57b744cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e39f786626c66fe376eb08105033f4.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/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://img.xkw.com/dksih/QBM/2011/5/17/1570204106489856/1570204111519744/STEM/673796e61591471494a81f21ee140606.png?resizew=162)
您最近一年使用:0次
2010·北京朝阳·二模
3 . 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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2010/5/10/1569723438301184/1569723443314688/STEM/14c43d83248f421f89df5eca462ad510.png?resizew=501)
您最近一年使用:0次
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)