如图所示,经过村庄
有两条夹角为
的公路
,根据规划要在两条公路之间的区域内修建一工厂
,分别在两条公路边上建两个仓库
(异于村庄
),要求
(单位:千米),记
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/b4c855fa-a28c-4614-9073-ab807aa7a87d.png?resizew=152)
(1)将
用含
的关系式表示出来;
(2)如何设计(即
为多长时),使得工厂产生的噪声对居民影响最小(即工厂与村庄的距离
最大)?
![](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/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd43cabbd47c77ac976ccfd3229dae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e31cf7ea7942bbc0fe4680878e5dd2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/b4c855fa-a28c-4614-9073-ab807aa7a87d.png?resizew=152)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8d07bad19b6cfac4dba9a919899841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)如何设计(即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8d07bad19b6cfac4dba9a919899841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
更新时间:2019-12-01 11:08:56
|
【知识点】 正、余弦定理的其他应用解读
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解答题-问答题
|
较易
(0.85)
名校
【推荐1】如图,一艘湖面清运船在
处发现位于它正西方向的
处和北偏东
方向上的
处分别有需要清扫的垃圾,红外线感应测量发现机器人到
的距离比到
的距离少40米,于是选择沿
路线清扫.已知清运船的直线行走速度为2米/秒,总共用了100秒钟完成了清扫任务(忽略清运船打捞垃圾及在
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![](https://img.xkw.com/dksih/QBM/2020/9/26/2557972408328192/2582750861819904/STEM/af7918cd743b4c47b4b65af24c1a4173.png?resizew=146)
(1)
、
两处垃圾的距离是多少?
(2)清运船此次清扫行走路线的夹角
是多少?(用反三角函数表示)
![](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/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/bfd66776565f049eb453c14fcaf79234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2020/9/26/2557972408328192/2582750861819904/STEM/af7918cd743b4c47b4b65af24c1a4173.png?resizew=146)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)清运船此次清扫行走路线的夹角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】曲柄连杆机构的示意图如图所示.当曲柄
在水平位置
时,连杆端点
在
的位置.当
自
按顺时针方向旋转角
时,
和
之间的距离是
.已知
,
,根据下列条件,求
的值(精确到
):
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19f6c71e82001bb106b6f1389046b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2b22270370a3e26f9edd544bb95793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a6e1f57fb799a3fd252e57690649e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263a592442ba4c97ad21d02216e720a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453802422f80928bda9e11200b3c636d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44c15e23e4d1c752383d1ae5f3189f1.png)
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