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我們知道,在农业播种和林业造林中,很多地方已經用“三角形法”代替“四角形法”进行点(穴)播种(如学校里种油菜王、新开果园等按正三角形的三个角頂种植)。这样种法不但提高密植程度,还可以为植物創造更适宜生长的营养面和空間位置。我在数学教学中向同学們介紹了这种方法并作初步的分析,引起了大家对这問題的注意和研究,并企图用正五角形、正六角形、…、任意凸的正n角形来种植。下面談談我对这問題的认识。定理有一公共頂点,以該頂点为角頂的所有頂角之和等于一周角的全等凸正n边形,有且只有正三边形、正四边形、正六边形。 証.设符合定理条件的正n边形用m个頂角可以围成一周角(m≥3),因为正n边形的一个內角等于
We know that in agriculture sowing and forestry afforestation, many places have used “triangular method” instead of “tetragonal method” to conduct point (point) sowing (such as the three corners of the school, such as rapeseed king, newly opened orchard, etc. Planting). This method not only improves the degree of close planting, but also creates more suitable nutrient surfaces and spatial locations for plants. I introduced this method to my classmates in mathematics teaching and made a preliminary analysis. This caused everyone’s attention and research on this issue and attempted to plant it with a positive pentagon, a regular hexagon,..., Any convex positive angle. Let’s talk about my understanding of this issue. The Theorem has a common vertex, with the sum of all the vertices whose vertices are vertices equal to the week’s congruent positive n-gons, and there are only regular triangles, regular quadrilaterals, and regular hexagons. Proof. Set a positive n-gon that conforms to the theorem condition to use m vertices to enclose a circle (m ≥ 3) because an interior angle of a positive n-gon is equal to