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/2023/4/29/77b0b34b-074a-432e-b085-84b49b9fd17d.png?resizew=213)
(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2万元,种植经济作物的成本为每平方百米1万元,新建道路
的成本为每百米1万元,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/7555d7708fbcceafdca92f950b96834c.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/2023/4/29/77b0b34b-074a-432e-b085-84b49b9fd17d.png?resizew=213)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e772672c590dc0ff3fd45532ab5ee54d.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)
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