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人教版《几何》第一册引言中有这样一个问题,要在河边修一个水泵站,分别向张村、李庄送水,修在河边什么地方,可使所有水管最短(如图1)?这就是一个关于路程最短问题的作图,《几何》第二册 P.89给出了问题的解答.在现实生活中,类似于此种问题比比皆是,解决好此类问题,不但能激发学生的学习兴趣,而且使学生感到数学能学以致用.体现了新课程的教学理念,下面就笔者遇到的一些生活中的实例与大家共同探讨:
One problem in the introduction of the first edition of the “Patterns” of the People’s Education Press was to repair a pump station by the river and send water to Zhangcun and Lizhuang, respectively, and to fix it on the riverside so as to make all the water pipes shortest (Figure 1). ) This is a map of the shortest distance problem. The answer to the question is given in Volume II P.89 of Geometry. In real life, problems like this one abound, solving such problems not only Can stimulate students’ interest in learning, and make students feel that mathematics can learn to use. Reflects the teaching philosophy of the new curriculum, the following examples of life encountered by the author and everyone to discuss: