论文部分内容阅读
周成武老师的这篇文章很好.文章介绍的方法是“先猜后证”——先通过特殊情形猜出结果,再对一般情形进行证明.先猜:因为是对特殊情形(包括退化情形和极端情形),条件多了,容易得到结果;后证:因为有了明确的目标(具体定值),证明起来相对容易了.这种方法不仅对解决几何中的定值问题适用,而且对解决代数中的定值问题,同样也适用,是证明定值问题的一般方法.在一类平面几何探索性问题中,题目以开放型的形式出现,要求探索猜想出结论,然后再加以证明.将问题先作特殊化(又称退化或极端化)处理,即作特殊位置、特殊结构等处理,是探索结论的一条有效途径;对探索出的结论再用三角形证之.下面予以说明.
Zhou Chengwu teacher’s article is very good. The article describes the method is “Guess the evidence ” - Guess the results through special circumstances, and then prove the general situation.Guess: Because of the special circumstances (including the degradation Situations and extreme cases), conditions are high, and results are easy to obtain; After evidence: it is relatively easy to justify because of a clear goal (a specific set of values.) This approach not only applies to solving the problem of valuation in geometry, but also The same holds true for solving fixed-valued problems in algebra, which is a general way of proving valuation problems. In a class of planar geometry exploratory questions, the questions appear in an open form, requiring exploration of the conjecture to be conclusive and then corroborated The first specialization (also known as degeneration or extreme) treatment, that is, as a special location, special structure and other treatment, is an effective way to explore the conclusion; to explore the conclusions of the triangle card again.