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《中小学数学》2012年第6期张群的《数学活动应为学生理解数学本质而设计》一文中提到“像这样输气管长度之和最小的实际问题可归结为‘在直线上寻求一点,使这一点到两个定点距离之和最短’的数学问题来解决.”该文在活动二中提出一个问题:“如图,在燃气管L上建造一个泵站P,分别向两镇A、B供气(两镇在管道的同侧),要使到A、B两镇的输气管长度之和最小,你还能确定泵站P的位置吗?”作者的结论是,找一定点关于直线的对称点,再连结它与另一定
“Primary and Secondary Mathematics”, No.6, 2012 Zhang Qun’s article “Mathematical Activities Should Be Designed for Students to Understand Mathematical Essence” mentioned in his article “The practical problem of minimizing the sum of gas pipe lengths like this can be attributed to ’ A little, to make this point to the shortest distance between the two fixed-point ’to solve the mathematical problem. ”This article in Activity two raised a question: “ As shown in the gas pipe L to build a pumping station P, respectively, to Two towns A, B gas supply (two towns on the same side of the pipeline), to make the total length of the gas pipelines to town A, B sum to the smallest, you can determine the location of pumping station P? ”The author’s conclusion is , Find a point about the symmetry point of the line, and then link it with another one