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现行人教版八年级数学(上册)第52页有这样一道题:如图1,∠B=∠C=90°,E是BC的中点,DE平分∠ADG,求证:AE是∠DAB的平分线.教材将此题作为在学生学完了“三角形全等的判定”和“角平分线的性质”之后的一道拓广探索题安排在课后的习题中,编者的意图在于引导学生通过探索,训练学生运用三角形全等的判定和角平分线的性质等知识综合解决问题的能力,达到用数学的目的.数学学习不能脱离课本,这是不争的常识,但实际教学中,不少老师、学生往往忽视对课本的利用,对教材
As in Figure 1, ∠B = ∠C = 90 °, E is the midpoint of BC, DE bisects ∠ADG, verify: AE is ∠ DAB The textbook takes this question as an extended exploration question after the student has completed the “Judgment of Triangle Equality” and the “Nature of the Angle Bisection Line.” The editor’s intention is to Guide students through the exploration, training students to use the triangle congruent judgments and the nature of angle bisector of the ability to comprehensively solve the problem, to achieve the purpose of mathematics.Mathematical learning can not be divorced from the textbook, it is an indisputable common sense, but the actual teaching, Many teachers, students tend to ignore the use of textbooks, textbooks