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《中学生数学》高中版2008年第2、6、12、12期的P29、P13、P25、P36分别发表了《西部数学奥赛题的三角证法》、《用导数解题》(的例5)、《西部数学奥赛一题优美简捷的证明与推广》、《道是无妨却有妨》等四文.仔细拜读,受益多多.同时也发现有的证法的某些不足之处(例如证法的科学性、简捷性、方法的初等化等).本文在充分吸收原四文特色的前提下,再给出三种初等、简捷的证明方法,供同学们参考.
Secondary School Mathematics High School Edition P29, P13, P25, P36 of the 2nd, 6th, 12th, and 12th of 2008 respectively published the “Triangle Certificate of Law in the Western Mathematical Olympiad”, “Example 5” , “Western Mathematical Olympiad a beautiful simple and easy to prove and promote”, “Road is no harm but harm” and other four texts. Read carefully and benefit a lot. At the same time also found some of the inadequacies of the law (such as the law Science, simplicity, method of equality, etc.) In this paper, fully absorb the original four text features of the premise, and then give three kinds of elementary, simple proof method for the students reference.