1 . 如图1,一条宽为
的两平行河岸有村庄
和发电站
,村庄
与
,
的直线距离都是
,
与河岸垂直,垂足为
.现要铺设电缆,从发电站
向村庄
,
供电.已知铺设地下电缆、水下电缆的费用分别是
万元/
、4万元/
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/e2d30b33-e484-4bb8-be65-c29423a11238.png?resizew=159)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/e8a38ba2-e04c-4e55-a40a-9d9420812788.png?resizew=159)
(1) 如果村庄
与
之间原来铺设有旧电缆 (图1中线段
所示),只需对其进行改造即可使用.已知旧电缆的改造费用是0.5万元/
.现决定在线段
上找得一点
建一配电站,分别向村庄
,
供电,使得在完整利用
,
之间旧电缆进行改造的前提下,并要求新铺设的水下电缆长度最短,试求该方案总施工费用的最小值,并确定点
的位置;
(2). 如图2,点E在线段
上,且铺设电缆线路为
.若
,试用
表示出总施工费用
(万元)的解析式,并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4919215ea88c19e554ce23e4bfe6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309cb286587e4fe3bab223c4348bf879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f555f3cbe968094310f4ee675bf28fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f555f3cbe968094310f4ee675bf28fc7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/e2d30b33-e484-4bb8-be65-c29423a11238.png?resizew=159)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/e8a38ba2-e04c-4e55-a40a-9d9420812788.png?resizew=159)
(1) 如果村庄
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f555f3cbe968094310f4ee675bf28fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2). 如图2,点E在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e782bff19ca086deede755dbe65045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a824cfe814ccb494e7076fbaccfdb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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