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在平面几何证题中,不少同学对a~2=bc±ef型题常常发怵,甚至束手无策.对证明这类题的思路有无规律可循,本文进行了初步研讨,现叙述如下. 因为结论的一端是两个乘积式的和(或差),另一端也应是对应的两个乘积式的和(或差).根据这个特点可得以下两个规律: 规律1 当两端是两个乘积式的和时,线段a上定有一个内分点把a
In the plane geometry test, many students often worry about a~2=bc±ef questions, and even do nothing about them. There are no rules for the proof of this kind of questions. This article has carried out a preliminary study, which is described below. Because one end of the conclusion is the sum (or difference) of two products, the other end is also the sum (or difference) of the corresponding two products. According to this characteristic, the following two laws can be obtained: Rule 1 When both ends are When the sum of two products is present, there is an internal point on line a that holds a