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求路径最短的问题,通常有两大类,一类是建立二次函数模型,利用二次函数最值问题进行求解,另一类通常利用几何知识,依据两点之间线段最短的原理进行求解.不管属于哪种情形,解答这类问题都有一些基本的解题方法,现举例说明如下.例1已知A、B为公路L两旁的两个村庄,现要在公路L上建一车站,使车站到两村庄的路程之和最短.问车站应该建在何处?
The shortest path to find the problem, there are usually two major categories, one is the establishment of quadratic function model, the use of quadratic function to solve the most value problems, and the other is usually the use of geometric knowledge, according to the shortest principle between two points to solve No matter what kind of situation, there are some basic solutions to this kind of problem solving method, the following is an example: As is known, A and B are two villages on both sides of the road L, , So that the two stations to the shortest distance between the two villages. Asked the station should be built where?