问题与猜想当你外出旅游经过高山区时,你可观察到,由山底上到高处的公路总是(如图1所示)呈“乏”字形曲折迂回盘旋在山地之间。这是什么缘故呢?从山底到高处的坡度(斜坡起止点之间的高度差和两点间的比值)很大,如公路修成呈“乏”字形曲折迂回,则每一段斜坡的坡度就可减小很多,坡度减小,汽车上就可节省动力,从而较容易地上到山的高处。 Problems and Conjectures When you travel through the high mountains, you can observe that the road from the bottom of the mountain to the height is always (as shown in Figure 1) in the shape of a “devoid of” twists and turns hovering between the mountains. What is the reason for this? The slope from the bottom of the mountain to the height (height difference between the start and end of the slope and the ratio between the two points) is very large. For example, if the road is turned into a “deficient” shape, then each section of the slope The slope can be reduced a lot, the slope is reduced, the car can save power, and it is easier to go up to the height of the mountain.