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看了《中学数学月刊》2013年第7期顾玉石与王慧老师写的《2012年高考全国卷理科第12题的推广》一文,笔者经过进一步思考,下面给出简证与再推广,以飨读者.原题(2012年全国理科第12题)正方形ABCD的边长为1,点E在边AB上,点F在边BC上,AE=BF=37,动点P从E出发沿直线向F运动,每当碰到正方形的边时反弹,反弹时反射角等于入射角,当点P第一次碰到E时,P与正方形的边碰撞的次数为
Read the “Mathematical Monthly of Secondary School” 2013 the seventh period Gu Gu-shih and Wang Hui teacher wrote “the 2012 college entrance examination of the national science section 12 promotion” article, the author after further thinking, the following is a summary and re-promotion to原 readers. The original title (2012 National Science 12) square ABCD side length of 1, the point E in the side AB, the point F in the side BC, AE = BF = 37, starting point P starting point E along the straight line F movement, whenever the edge of a square bounce, the bounce angle is equal to the angle of reflection, when the first point P hit E, P and the square side of the collision number of