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許多劳动人民在生产劳动过程中积累了許多宝貴的经驗,这些經驗合理地运用了教学原理。下面我們举几个与几何学联系比較紧密的問題。当归是一种名貴的中药,也是一种大宗的出口品,甘肃岷县的当归,品貭較高,是当地农民主要的一种經济作物,历年都大面积的栽培。栽出的形状如图1.在栽种蔬菜时也都采用这种形状。如图1,当归A,B,D三棵成一正三角形,A,B,C,D四棵之间形成一菱形,其中一夹角为60°。可是初次下地的人們以为图2的栽种方法和图1是一样的,说“图1不过排列好看一点罢了”。其实图2的排列也并非不好看,而主要是因为图1大大发揮了土地利用率。現在我們用数学的方法加以分析。
Many working people have accumulated a lot of valuable experience in the production of labor, and these experiences have rationally applied teaching principles. Below we present several issues that are more closely related to geometry. Angelica is a valuable traditional Chinese medicine, and it is also a large-scale export product. The Chinese angelica in Gansu Province has a high quality and is a major economic crop for local farmers. It has cultivated a large area over the years. The shape of the plant is shown in Figure 1. This shape is also used when planting vegetables. As shown in Figure 1, Angelica A, B, D three trees form a regular triangle, and A, B, C, and D form a diamond shape with an included angle of 60°. However, the people who landed in the first place thought that the planting method in Figure 2 was the same as in Figure 1, and said that “Figure 1 is just a little bit better.” In fact, the arrangement of Figure 2 is not unattractive, but mainly because Figure 1 greatly contributes to land utilization. Now we use mathematical methods to analyze it.