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“多边形数”是新课标人教A版课本必修5第2.1节“数列的概念与简单表示法”的引言部分和选修3-1第2.2节“毕达哥拉斯学派”部分的的内容.在数学史上,古希腊数学家毕达哥拉斯最早把正整数和几何图形联系在一起,把数描绘成沙滩上的小石子,又按小石子所能排列的形状,把正整数与正三角形、正方形等图形联系起来,将数分为三角形数,正方形数等.这样一来,抽象的正整数就有了生动的形象,寻找它们之间的规律也就容易多了.后期毕达哥拉斯学派数学家尼可麦丘在《算术引论》中将多边形数推广到立体数.
“Number of polygons ” is a new curriculum standard for people who teach A version of the textbooks compulsory 5 Section 2.1 “Introduction to the concept of sequences and simple representation ” Introduction section and elective 3-1 Section 2.2 “Pythagorean school ”In the history of mathematics, the ancient Greek mathematician Pythagoras was the first to integrate positive integers and geometric figures, the number portrayed as a pebble on the beach, and according to pebbles can arrange the shape , The positive integers and triangles, squares and other graphics linked to the number is divided into the number of triangles, squares, etc. Thus, abstract positive integers have a vivid image, looking for the law between them is also much easier Later, the Pythagorean mathematician Nicole McQueen extended the number of polygons to three-dimensional in Arithmetic Introduction.