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从知识转化角度,通过追根溯源,综合条件分析,不断调整解题策略和疏通受阻思维,直到找到解决问题的通法,这才是解法自然的生成之道。笔者拜读了文献[1]后,对如何利用条件挖掘一题多解有了深刻的认识,但也有一些不同的想法,愿与姜老师探讨,更希望得到广大同仁的斧正。1试题再现已知:如图1,在△ABC中,∠ACB=90°,AC=1/2BC。以BC为底边作等腰直角△BCD,E为CD的中点,求证:AE⊥EB。2思路剖析2.1运用“垂直定义”
From the point of view of knowledge transfer, through tracing the source and analyzing the conditions of comprehensive conditions, we can adjust the problem-solving strategies and unblock the thinking until we find a solution to the problem. This is the way of generating natural solutions. After reading the literatures [1], the author has a deep understanding of how to use the conditions to mine a problem-solving solution. However, there are also some different ideas that I would like to discuss with Professor Jiang. I also hope that my colleagues from all over the world can learn from it. 1 test reproduction known: Figure 1, △ ABC, ∠ ACB = 90 °, AC = 1 / 2BC. To BC as the base for isosceles right angle △ BCD, E is the midpoint of the CD, verify: AE⊥EB. 2 train of thought analysis 2.1 use “vertical definition ”