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本文通过证型如“a·b=c·d+e·f的几个例题,揭示学习平面几何推证规律的途径。 一、从基本规律出发探索证题途径 例1 (托勒米定理)求证:圆内接四边形两双对边乘积的和等于两对角线的乘积。
This paper reveals the way of learning plane geometry to deduce the law by using several examples such as “a·b=c·d+e·f”. First, starting from the basic law, exploring the approach of the test case 1 (Ptolemy’s theorem) Prove that the sum of the product of the circle inscribed quadrilateral pairs of two sides is equal to the product of the two diagonal lines.