2020高三·江苏·专题练习
解题方法
1 . 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
所在的区域改造成绿化区域.已知
,
.
(1)若绿化区域
的面积为
,求道路
的长度;
(2)若绿化区域
改造成本为10万元
,新建道路
成本为10万元
.设
,当
为何值时,该计划所需总费用最小?
![](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/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954d2fd2aecd31ff67d975bc8981023a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d96b98fa3d42c6110aacdd8b40cc878.png)
(1)若绿化区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a20c0350438830b350bb4a230047f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若绿化区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73840c256b07fc8619ca3864ab6cda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1feb40df85e8deb28601e2bfec896f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83807e0aa1085d518688730cbd0a6178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/2020/1/16/2378537747431424/2379990478848000/STEM/2a3a8405912a4eacb88d1c32a8c4de13.png?resizew=134)
您最近一年使用:0次
解题方法
2 . 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)
您最近一年使用:0次
2021-09-10更新
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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
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