名校
1 . 由于2020年1月份国内疫情爆发,餐饮业受到重大影响,目前各地的复工复产工作在逐步推进,居民生活也逐步恢复正常.李克强总理在考察山东烟台一处老旧小区时提到,地摊经济、小店经济是就业岗位的重要来源,是人间的烟火,和“高大上”一样,也是中国的商机.某商场经营者王某准备在商场门前“摆地摊”,经营“冷饮与小吃”生意.已知该商场门前是一块扇形区域,拟对这块扇形空地
进行改造.如图所示,平行四边形
区域为顾客的休息区域,阴影区域为“摆地摊”区域,点P在弧
上,点M和点N分别在线段
和线段
上,且
米,
.记
.
时,求
;
(2)请写出顾客的休息区域
的面积
关于
的函数关系式,并求当
为何值时,
取得最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40b8789cc8d81b3cf64f0b318ab982a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/e88065e78982ab8a8b15bf573ca21476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d162c29b1e484cfc87350dd68f00b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259728433d68902065408fb6a34c6d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c15586b0ea748580ca3458d637bb958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c58625fd2a35ef8883b60af16bf8926.png)
(2)请写出顾客的休息区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40b8789cc8d81b3cf64f0b318ab982a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2022-04-24更新
|
1359次组卷
|
9卷引用:安徽省合肥市第八中学2021-2022学年高一下学期期中数学试题
安徽省合肥市第八中学2021-2022学年高一下学期期中数学试题安徽省滁州市定远县民族中学2021-2022学年高一下学期期中考试数学试题安徽省滁州市定远县民族中学2021-2022学年高一下学期5月月考数学试题吉林省长春市十一高中2021-2022学年高一下学期第二学程考试数学试题安徽省合肥市第十中学2021-2022学年高二下学期学考模拟数学试题(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)广西南宁市第二中学2023-2024学年高一下学期5月月考数学试卷四川省成都市第七中学2023届高三上学期零诊模拟检测理科数学试题四川省成都市第七中学2023届高三上学期零诊模拟检测理科数学试题
名校
2 . “精准扶贫,修路先行”,为解决城市A和山区B的物流运输问题,方便B地的农产品运输到城市A交易,计划在铁路AD间的某一点C处修建一条笔直的公路到达B地.示意图如图所示,
千米,
千米,
.已知农产品的铁路运费为每千米1百元,公路运费为每千米2百元,农产品从B到A的总运费为
百元.为了求总运费
的最小值,现提供两种方案建立函数关系,方案1:设
千米;方案2:设
.
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728844525436928/2763381872025600/STEM/da1dff13-1d5e-4a97-bcfc-47660ced5353.png?resizew=203)
(1)试将
分别表示为关于
、
的函数关系式
和
;
(2)请只选择一种方案,求出总运费
的最小值以及此时
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80739f2486099ffd39a3038c60f41825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00eadc41339daa56623a3d3d28460936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff83a75900ae3d07bbb4eda227b449cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bfc0387785bf3c60f75ed3d34cc98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1950345548fe750b80ce79b168969ca.png)
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728844525436928/2763381872025600/STEM/da1dff13-1d5e-4a97-bcfc-47660ced5353.png?resizew=203)
(1)试将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3634f1a6094deeafc4c3de8277d85ce6.png)
(2)请只选择一种方案,求出总运费
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2021-07-13更新
|
534次组卷
|
4卷引用:安徽省六安市舒城中学2021-2022学年高一下学期期中数学试题
名校
解题方法
3 . 如图,在公园内有一块边长为100米的等边三角形空地(记为
),现修成草坪,图中
把草坪分成面积相等的两部分,点
在
上,点
在
上.
米,求
长;
(2)如果
是灌溉水管,为了节约成本,希望灌溉水管
最短,请确定点
的位置,并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfef9075ea461d448e44f337e2a82558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2021-07-10更新
|
1039次组卷
|
5卷引用:安徽省合肥市六校联盟2021-2022学年高一下学期期中数学试题
解题方法
4 . 某农场有一块等腰直角三角形的空地
,其中斜边
的长度为200米.为迎接“五一”观光游,欲在边界
上选择一点
,修建观赏小径
,
,其中
,
分别在边界
,
上,小径
,
与边界
的夹角都为
.区域
和区域
内种植郁金香,区域
内种植月季花.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5c2a50d4-6b2b-416d-bbbc-e1a4064e5560.png?resizew=155)
(1)求证:
为定值;
(2)为深度体验观赏,准备在月季花区域内修建小径
,当
点在何处时,三条小径
的长度和最小?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b81fb655624ff75a5eab94de9b8c8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d62de810f5160223afa54fd882acb9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6f84f2a5721303019f158d860cd5b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5c2a50d4-6b2b-416d-bbbc-e1a4064e5560.png?resizew=155)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bb1548ddc0e5536a35b1bd78c4e7cd.png)
(2)为深度体验观赏,准备在月季花区域内修建小径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04026908af27f4846c1fc0e1b6e6c5b.png)
您最近一年使用:0次
名校
5 . 甲船在岛
的正南
处,以4千米/时的速度向正北方向航行,
千米,同时乙船自岛
出发以6千米/时向北偏东60°的方向驶去.当甲、乙两船相距最近时,它们所航行的时间为( )
![](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/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() | C.![]() | D.2.15h |
您最近一年使用:0次
2020-03-22更新
|
170次组卷
|
2卷引用:安徽省芜湖市第一中学2018-2019学年高一下学期期中数学试题
名校
解题方法
6 . 如图所示,在梯形
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/e6ec2745-eb6a-4c96-85a6-bd0f2334d7eb.png?resizew=163)
(1)求
的值;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2395720e6d6aeb7efdcd8e921849acf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/e6ec2745-eb6a-4c96-85a6-bd0f2334d7eb.png?resizew=163)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcba4db5c1115f43681182598cef3fff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a38dd5d62e9ff7ee9bc4d4eef4752e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2020-03-09更新
|
1965次组卷
|
4卷引用:安徽省马鞍山市2018-2019学年高一下学期期中数学试题
13-14高一下·福建三明·阶段练习
7 . 如图,渔船甲位于岛屿
的南偏西
方向的
处,且与岛屿
相距12海里,渔船乙以10海里/小时的速度从岛屿
出发沿正北方向航行,若渔船甲同时从
处出发沿北偏东
的方向追赶渔船乙,刚好用2小时追上.则
=_______________ .
![](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/7f9e8449aad35c5d840a3395ea86df6d.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571795026477056/1571795032137728/STEM/7ff4d078-87bc-4903-9f7a-709545ffdb0b.png)
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