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最短路径问题在现实生活中经常遇到,初中阶段,主要以“两点之间,线段最短”“连接直线外一点与直线上各点的所有线段中,垂线段最短”为知识基础,有时还要借助轴对称、平移、旋转等变换进行研究。本节课以数学史中的一个经典问题——“将军饮马问题”为载体,开展对“最短路径问题”的课题研究,让学生经历将实际问题抽象为
The shortest path problem often encountered in real life, junior high school stage, mainly in the “between two points, the shortest line ” “connecting straight line point and a straight line at all points of the line, the shortest vertical line ” for knowledge Basis, sometimes with axisymmetric, translation, rotation and other transformation study. This lesson takes a classic problem in the history of mathematics - “generals drinking horse problems” as a carrier, to carry out research on the “shortest path problem”, so that students experience the actual problem is abstracted as