1 . 在小岛
的正北方向有一补给点
,某巡逻艇从
出发沿北偏西
方向航行,航行
海里后到达点
,此时,巡逻艇接到了位于
正北方向50海里的抛锚渔船
处发来的求救信号,同时观测到
位于
的北偏东
方向.已发现巡逻艇燃料不足,现有两种营救方案:
方案一 为节省燃油、确保能到达抛锚渔船
处,巡逻艇以35海里/小时的速度航行,以最短路程前往;
方案二 巡逻艇以50海里/小时的速度航行,以最短路程前往补给点,在补充燃油后仍然以50海里/小时的速度航行,以最短路程前往,已知在到达补给点后补充燃油总共需要在补给点停留0.2小时;
试判断哪种营救方案可以更快的达到抛锚渔船
处.(在实施两种方案时,均不考虑水流速度)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f116f727e41bda9dbebf74bebf2fd25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
方案一 为节省燃油、确保能到达抛锚渔船
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
方案二 巡逻艇以50海里/小时的速度航行,以最短路程前往补给点,在补充燃油后仍然以50海里/小时的速度航行,以最短路程前往,已知在到达补给点后补充燃油总共需要在补给点停留0.2小时;
试判断哪种营救方案可以更快的达到抛锚渔船
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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解题方法
2 . 现某公园内有一个半径为
米扇形空地
,且
,公园管理部门为了优化公园功能,决定在此空地上建一个矩形
的老年活动场所,如下图所示有两种情况可供选择.
,请用
表示矩形
的面积,并求面积最大值
(2)如果选择图二,求矩形
的面积最大值,并说明选择哪种方案更优(面积最大)(参考数据
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0f4a227754facf7d5aee67d230c0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35c1c9614a2d23b564c116da64224ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
(2)如果选择图二,求矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
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名校
3 . 有一个半径为
,圆心角
的扇形铁皮OMN,现利用这块铁皮并根据下列方案之一,裁剪出一个矩形.
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960718884044800/2964876818685952/STEM/23b3157f-cb50-4890-a0aa-963aeed9f0e1.png?resizew=354)
方案1:如图1,裁剪出的矩形
的顶点
在线段
上,点
在弧
上,点D在线段OM上;
方案2:如图2,裁剪出的矩形
的顶点
分别在线段
上,顶点
在弧
上,并且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cce6cac0fdd4b1a434af8bcaec8fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
,其中点
为弧
的中点.
(1)按照方案1裁剪,设
,用
表示矩形
的面积,并求出其最大面积;
(2)按照方案2裁剪,求矩形PQRS的最大面积,并与(1)中的结果比较后指出按哪种方案可以裁剪出面积最大的矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e2c8d466ab8eb5ecd38060b53bbe8c.png)
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960718884044800/2964876818685952/STEM/23b3157f-cb50-4890-a0aa-963aeed9f0e1.png?resizew=354)
方案1:如图1,裁剪出的矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
方案2:如图2,裁剪出的矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c3d2c318a33a82da4134dd17fa57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bef6b2e5867edb3f103a082e0c9a905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f65dbed884e2248ec075655c684aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ca00309261a540934d9b3ed9ba05b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cce6cac0fdd4b1a434af8bcaec8fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(1)按照方案1裁剪,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db0cd230e1ff2cb6d15a688dddae34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)按照方案2裁剪,求矩形PQRS的最大面积,并与(1)中的结果比较后指出按哪种方案可以裁剪出面积最大的矩形.
您最近一年使用:0次
2022-04-24更新
|
409次组卷
|
4卷引用:江苏省常州市教育学会学业水平监测2020-2021学年高一下学期期中数学试题
4 . 杭州世纪中心是杭州最高楼,同时是浙江省最高的双子塔楼,建筑高度310米,以杭州拼音首字母“
”为外形蓝本,被称为杭州之门,双塔的设计像一对翅膀,结合了杭州文化的城市之形,拱桥之意。某位高中生想运用所学知识测量验证一下高度,通过查阅资料获取了两种测量方案.
方案一(“两次测角法”):如图一,在双子塔附近广场上的
点测得双子塔顶部的仰角为
,正对双子塔前进了
米后,到达
点,在
点测得双子塔顶部的仰角为
,然后计算出双子塔的高度.
米;②正对双子塔,将镜子后移
米,重复①中的操作,测量出人与镜子的距离为
米.然后计算出双子塔的高度.
实际操作中,方案一测量数据为
米,
,测得双子塔高度为
;方案二测量数据为
米,
米,
米,测得双子塔高度为
;假设测量者的“眼高
”都为1.6米.
(1)试用
表示出
;
(2)计算
的实际测量值(结果取整,参考数据:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c4fd6998a8748375793cd1674f7417.png)
方案一(“两次测角法”):如图一,在双子塔附近广场上的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
实际操作中,方案一测量数据为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a110bb6e761a161260c92dea2121d2db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048e023d71c00d7d79c08ab66ce0fb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbb5c16657599a529e542a74eac4805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6da0a29001235bb32594352d268d229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbebc3df0e44aaf7c04feebcf5d70dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1fae01485740cbb48b5c79f1185b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20052748de237fef46f62671b4fd7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45eb4c210d02b62d0d45cbf83a052dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1766ff3477d0f112b2f00c4f1bbf0494.png)
您最近一年使用:0次
5 . 某学校开展“测量故宫角楼高度”的综合实践活动.如图所示,线段
表示角楼的高,C,D,E为三个可供选择的测量点,点B,C在同一水平面内,
与水平面垂直.现设计能计算出角楼高度的测量方案,从以下六组几何量中选择三组进行测量,则可以选择的几何量的编号为________ .(只需写出一种方案)
;④由点D观察点A的仰角
;⑤
和
;⑥
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2db6311e228ed33b6c71d0a5918cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4598486f8c5ac28b1165b76e78105979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc2d2dd56fcc67698c45a6e0e48f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd1bc0388e7fad3e849ca39c67f5034.png)
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解题方法
6 . 如图,某公园改建一个三角形池塘,
,
百米,
百米,现准备养一批观赏鱼供游客观赏.
(1)若在
内部取一点P,建造连廊供游客观赏,方案一如图①,使得点P是等腰三角形PBC的顶点,且
,求连廊
的长(单位为百米);
(2)若分别在AB,BC,CA上取点D,E,F,并建造连廊,使得
变成池中池,放养更名贵的鱼类供游客观赏:方案二如图②,使得
为正三角形,设
为图②中
的面积,求
的最小值;方案三如图③,使得DE平行于AB,且EF垂直于DE,设
为图③中
的面积,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/31/266877c3-dd4d-4cef-8ceb-8f08ed6805c0.png?resizew=333)
(1)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f9a0698de229afa9e0efb37e09b635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57ee683509f6f257e5dfa083ccf99e5.png)
(2)若分别在AB,BC,CA上取点D,E,F,并建造连廊,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
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7 . 某居民小区为缓解业主停车难的问题,拟对小区内一块扇形空地
进行改建.如图所示,方案一平行四边形
区域为停车场,方案二矩形
区域为停车场,其余部分建成绿地,点
在围墙弧
上,点
在道路
上,点
,
,
在道路
上,且
米,
,设
.
(1)当点
为弧
的中点时,求
的值;
(2)记平行四边形
的面积为
,矩形
的面积为
,说明
,
的大小关系,并求
为何值时,停车场面积最大?最大值是多少?
![](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/c380ce0963919b6326012b8f07565661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bef966500ee3ed7810bd020b65ba8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc790cfaa59a808c25a7edb95dc29fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f723d0fe1931c5bd7a89b108778b8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/38a0c107-6045-4c22-a9e9-3d8385aeb7c6.png?resizew=141)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7db9b4ac9106bfaf32eba6ae265872b.png)
(2)记平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40b8789cc8d81b3cf64f0b318ab982a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c380ce0963919b6326012b8f07565661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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解题方法
8 . 某市遇到洪涝灾害.在该市的某湖泊的岸边的O点处(湖岸可视为直线)停放着一艘搜救小船,由于缆绳突然断开,小船被风刮跑(假设小船沿直线匀速漂移).
现有两种方案:
①如图1,在湖岸设置一个观察点A,A点距离O点20m.当小船在漂移到B处时,测得
;经过15s,小船漂移到C处,测得
.又在O点处测量得小船的漂移方向与河岸成30°.请根据以上数据,计算小船的漂移速度.
②如图2,在岸边设置两个观察点A,B,且A,B之间的直线距离为20m,当小船在C处时,测得
和
;经过20s,小船漂移到D处,测得
和
.请根据以上数据,计算小船的漂移速度.
(2)如图3,若小船从点O开始漂移的同时,在O点处的一名安全员沿河岸以4km/h开始追赶小船,在此过程中获知小船的漂移方向与河岸成30°,漂移的速度为2.2km/h,于是安全员在河岸上选择合适的地点A下水,以2km/h的速度游泳沿直线追赶小船.问安全员是否能追上小船?请说明理由.
参考数据:
,
,
,
.
现有两种方案:
①如图1,在湖岸设置一个观察点A,A点距离O点20m.当小船在漂移到B处时,测得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548e9e5752cd788a0cb5dd74372f0c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
②如图2,在岸边设置两个观察点A,B,且A,B之间的直线距离为20m,当小船在C处时,测得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f6f7304aba56f2f05942266833bef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c72f3ae46c53ed638e519dc2cc1026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edd00fc6f858bc44cb83543e3bbe70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b03bf58cba56d1b98a8a457982870b4.png)
(2)如图3,若小船从点O开始漂移的同时,在O点处的一名安全员沿河岸以4km/h开始追赶小船,在此过程中获知小船的漂移方向与河岸成30°,漂移的速度为2.2km/h,于是安全员在河岸上选择合适的地点A下水,以2km/h的速度游泳沿直线追赶小船.问安全员是否能追上小船?请说明理由.
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7bb1dd9e1bb49e95ecc1eb09b17f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f88b101656b1c632d90218b8303844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
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9 . 某网红景区拟开辟一个平面示意图如图的五边形
观光步行道,
为景点电瓶车专用道,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/212a3721-03bd-4f1e-bbc2-85fe112e4bb1.png?resizew=359)
(1)求
的长;
(2)请设计一个方案,使得折线步行道
最长(即
最大).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f688423aa89510a3f9d5849854fe8ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde1c1811788d9fe89fa6bdeee73a672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44303e5e10c3639440b37261517b3b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/212a3721-03bd-4f1e-bbc2-85fe112e4bb1.png?resizew=359)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)请设计一个方案,使得折线步行道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ba3f676fda6a2aaaa55c9f32874a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3c8c2d83209681290e22973787483a.png)
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2022-04-10更新
|
775次组卷
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5卷引用:江苏省苏州高新区第一中学2021-2022学年高一下学期期中数学试题
10 . 如图所示,是一块三角形空地,其中
,
,
.当地政府规划将这块空地改造成一个休闲娱乐场所,拟在中间挖一个人工湖
,其中
在边
上,且
,挖出的泥土堆放在
地带上形成假山,剩下的
地带建成活动场所.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/38aaaf17-f42c-4cdf-8bdc-d2174cbe9237.png?resizew=108)
(1)若要求挖人工湖用地
的面积是堆假山用地
面积的
倍,试确定
的大小;
(2)为节省投入资金,人工湖
的面积要尽可能小,问如何设计施工方案,可使
的面积最小?最小面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29ac2834e2f2f1c32149fe31f107134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd446f72000300a54fb9e1e28325093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b0eb72986587ffecf87c22a224bcd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edafce95aade0386bc0d78f679dcf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf2b5e712b42f748a3c30bb5d160c18.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/38aaaf17-f42c-4cdf-8bdc-d2174cbe9237.png?resizew=108)
(1)若要求挖人工湖用地
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edafce95aade0386bc0d78f679dcf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92f279be7c8a11dcd2c0a97116bdcbb.png)
(2)为节省投入资金,人工湖
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
您最近一年使用:0次
2023-04-20更新
|
241次组卷
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2卷引用:江苏省连云港市灌南高级中学2022-2023学年高一下学期期中数学试题