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从特殊到一般,是认识的一个飞跃.比如从三角形、四边形的内角和推得任意多边形的内角和公式.从四边形、五边形对角线的条数推得任意多边形对角线的条数公式,从指数是2、3的同底数幂相乘的结果,推得指数为任何自然数时同底数的幂相乘的法则等.都是从研究个别的、具体的、特殊的情况入手,经过周密的思维,推得一般的结果.这是一个抽象思维的过程.初中课本中出现的次数不多.对学生来说,往往
From special to general, it is a leap of understanding. For example, from the inner corners of triangles, quadrilaterals, and the inner corners and formulae of arbitrary polygons, the number of arbitrary polygon diagonals is derived from the number of diagonals of quadrilateral and pentagonal lines. The formula, from the result that the exponent is a power of 2 and 3 with the base, multiplies the power of the base by the power of the exponent to any exponent of the natural number, etc. It starts from the study of individual, specific, and special cases. Thoughtful thinking leads to general results. This is a process of abstract thinking. There are not many times in junior high school textbooks. For students, often