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著名的波兰数学家史坦因豪斯在其所著的《数学万花筒》中有一个著名的三村办学问题:有A、B、C村庄各有学生a、b、c人,他们打算联合办一学校,问学校建在什么地方最好(使所有学生走的路程最短)?下面我们用物理学中的办法来解。如图1,在标有三村位置的木板上,在三村所表示的点处各钻一个孔然后把三根系在一起的细绳从孔中穿过,再在它们下面分别挂上重为a、b、c的物品,当整个力学系统处于平衡
The famous Polish mathematician Steinhaus has a well-known three-village education problem in his book “Kaleidoscope of Mathematics”: There are students A, B and C in A, B and C villages. They intend to jointly organize a The school, asked where the school is best (to make all students take the shortest route)? Here we use the physics approach to solve. As shown in Figure 1, on the wooden board marked with the three villages, a hole is drilled at each of the points indicated by the three villages, and then the three tied cords are passed through the holes and hung under them respectively. b, c items, when the entire mechanical system is in balance