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湖北黄岗因在国际中学生数学竞赛中累获奖牌而引人注目.因此,黄岗的经验与试题也倍受人们的重视.2000年黄岗有一道中考试题密切联系实际,又新颖有趣,现介绍如下: 1 题目解法国家电力总公司为了改善农村用电电费过高的观状,目前正在全国各地农村进行电网改造.莲花村六组有四个村庄A、B、C、D正好位于一个正方形的四个顶点,现计划在四个村庄联合架设一条线路.他们设计了四种架设方案,如图4中的实线部分.请你帮助计算一下,哪种架设方案最省电线.(以下数据可供参考:√2=1.414,√3=1.732,√5=2.236)
Hubei Huanggang has drawn attention because of the numerous medals in the international mathematics competition for middle school students. Therefore, Huang Gang’s experience and test questions are also highly valued by people. In 2000, Huanggang had a middle exam topic that was closely related to reality and was new and interesting. Now it is introduced as follows: 1 Title Solution The National Electric Power Corporation is currently carrying out power grid renovations in rural areas across the country in order to improve the high electricity tariffs in rural areas. There are four villages in the six groups of Lotus Village A, B, C, and D located in four squares. Vertex, now plans to set up a line in four villages. They designed four erection plans, as shown in the solid line in Figure 4. Please help calculate, which kind of erection plan is the most economical. (The following data are available for reference.) : √2=1.414, √3=1.732, √5=2.236)