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【案例背景】问题:(1)等腰三角形底边上的任一点与两腰的距离之和等于腰上的高;(2)等腰三角形底边延长线上任一点与两腰的距离之差等于腰上的高(人教版几何第二册P197)。本人在初三复习三角形、四边形、圆时,想到了这样一个老问题。尽管苏科版新教材未将它明确提出,但在诸如《学习指导用书》(苏大出版社)等资料中还是有与其有关的不少习题。那么,怎么样老题新讲?怎么样让学生能有更深入的探究,
Case background】 【Question: (1) the bottom of the isosceles triangle and waist at any point on the waist is equal to the height of the waist; (2) isosceles triangle at any point on the extension of the line and the distance between the waist Equal to the high waist (PEP. P197). I am in the third review triangle, quadrilateral, round, I came up with such an old problem. Although the new textbook of the Soviet Union does not make it clear, new materials such as “Learning Guide Book” (Su Da Publishing House) and other materials still have a lot of exercises related to it. So, how old questions new? How to let students have more in-depth exploration,