解题方法
1 . 如图,某生态农庄内有一三角形区域
,
,
百米,
百米.现要修一条直道
(宽度忽略不计),点
在道路
上(异于
,
两点).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/29/0dc8c034-6761-471f-9817-2d21b91c6f0a.png?resizew=168)
(1)若
,求
的长度;
(2)现计划在
区域内种植观赏植物,在
区域内种植经济作物.已知种植观赏植物的成本为每平方百米4万元,种植经济作物的成本为每平方百米2万元,新建道路
的成本为每百米2万元,求三项费用总和的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6610676353016a9f7235d306b731c1e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/29/0dc8c034-6761-471f-9817-2d21b91c6f0a.png?resizew=168)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a311738db3fc5431d14a0942542a62e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)现计划在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
名校
解题方法
2 . (1)某厂生产产品
件的总成本
(万元),已知产品单价
(万元)与产品件数
满足:
,生产
件这样的产品单价为
万元.
①设产量为
件时,总利润为
(万元),
的解析式为什么?
②产量
定为多少件时,总利润
(万元)最大?
(2)已知
,求
的值;
(3)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46d555e2f55840784cebc5eeeaba4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f50d583e2d0d5361cc3b99d8b39e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
①设产量为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa50c62220434caca5bc663e5a9a327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa50c62220434caca5bc663e5a9a327.png)
②产量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa50c62220434caca5bc663e5a9a327.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f57397e197cfe42f335ff53515d58f.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3854d44da64f5683c3af94248fe121ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
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解题方法
3 . 如图所示是一个金属支架的示意图,其中
.
米,且A到B的距离比
的长小1米,设
米,
米,制作支架
的金属价格是2万元/米,制作支架
的金属价格是1万元/米.(宽度忽略不计)
![](https://img.xkw.com/dksih/QBM/2021/4/13/2699130223804416/2699178996588544/STEM/38cba636-3e20-481e-bc20-42e9c056685e.png?resizew=137)
(1)将y表示为x的函数;
(2)求制作支架成本的最小值,并求此时
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fba0deb1d5b1e2527c47c023f972712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a381009232d8745a8ab0df968d9f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8b9bc91548db1a5ce23f047bd59627.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://img.xkw.com/dksih/QBM/2021/4/13/2699130223804416/2699178996588544/STEM/38cba636-3e20-481e-bc20-42e9c056685e.png?resizew=137)
(1)将y表示为x的函数;
(2)求制作支架成本的最小值,并求此时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
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解题方法
4 . 如图,某公园内有两条道路
,
,现计划在
上选择一点
,新建道路
,并把
所在区域改造成绿化区域,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2d255085ab88be2b11d1d36dff4eb6.png)
![](https://img.xkw.com/dksih/QBM/2021/5/14/2720955684741120/2805082902642688/STEM/a4b003fa-d879-4098-9462-bdb648321464.png?resizew=250)
(1)若绿化区域
的面积为
求道路
的长度;
(2)绿化区域
每
的改造费用与新建道路
每
费用都是角
的函数,其中绿化区域
改造费用为
万元
,新建道路
改造费用为
万元
,设
某工程队承包了该公园的绿化区域改造与新道路修建.当
为何值时,该工程队获得最高毛利润?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2d255085ab88be2b11d1d36dff4eb6.png)
![](https://img.xkw.com/dksih/QBM/2021/5/14/2720955684741120/2805082902642688/STEM/a4b003fa-d879-4098-9462-bdb648321464.png?resizew=250)
(1)若绿化区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a20c0350438830b350bb4a230047f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)绿化区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01486eeae6fb8e1f12103690ecfc87ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce89b633e5d6bcf9406e3f9208fe06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d5e7fa8fac8ec96cd8dc1cc43a700a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572d5641dc733ed1fe2f1a6293d7449e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96232bb4d038d8b61577800e2d1ddbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98024ce2e23a5e81b2bcdd7c96ccef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e5f1d5f34f89a618652ea9085722e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2021-09-10更新
|
329次组卷
|
4卷引用:江苏省淮安市六所四星级中学2019-2020学年高一下学期联考数学试题
江苏省淮安市六所四星级中学2019-2020学年高一下学期联考数学试题浙江省丽水市外国语实验学校2020-2021学年高一下学期第一次月考数学试题(已下线)11.3正弦定理与余弦定理的应用(备作业)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第二册)(已下线)第06讲 解三角形-《知识解读·题型专练》(人教A版2019必修第二册)
名校
5 . 为丰富农村业余文化生活,决定在A,B,N三个村子的中间地带建造文化中心.通过测量,发现三个村子分别位于矩形ABCD的两个顶点A,B和以边AB的中心M为圆心,以MC长为半径的圆弧的中心N处,且AB=8km,BC=
km.经协商,文化服务中心拟建在与A,B等距离的O处,并建造三条道路AO,BO,NO与各村通达.若道路建设成本AO,BO段为每公里
万元,NO段为每公里a万元,建设总费用为
万元.
![](https://img.xkw.com/dksih/QBM/2018/10/11/2051196398305280/2055731747856384/STEM/3d6b47d009ba4708b0a5bca4bdc6e7d3.png?resizew=158)
(1)若三条道路建设的费用相同,求该文化中心离N村的距离;
(2)若建设总费用最少,求该文化中心离N村的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827bec361fa9658bc190b57633f2b5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://img.xkw.com/dksih/QBM/2018/10/11/2051196398305280/2055731747856384/STEM/3d6b47d009ba4708b0a5bca4bdc6e7d3.png?resizew=158)
(1)若三条道路建设的费用相同,求该文化中心离N村的距离;
(2)若建设总费用最少,求该文化中心离N村的距离.
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