主题小数学家的修养——类比思想方法。内容寻觅问题“四个互不相等的正数a,b、c、d中,a最大,d最小,且a:b=c:d,(据一九八六年广州、福州、重庆、武汉四市初中数学联赛试题第一试第一题第3小题改编)”用几何方法给出必要而简略的证明。 目的 倘若用代数方法,不难证得结论。本活动旨在使学生逐渐体会类比是“获得发现的 The cultivation of thematic mathematicians - the analogy method of thinking. The content-problem problem “The four mutually unequal positive numbers a, b, c, d, a is the largest, d is the smallest, and a:b=c:d, (according to 1986 Guangzhou, Fuzhou, Chongqing, Wuhan The 4th junior high school mathematics competition questions first test first question 3th small question adaptation) "gives a necessary and simple proof using geometric method. Purpose If you use the algebraic approach, it is not difficult to prove the conclusion. This activity aims to make students gradually realize that the analogy is