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这是一道经典老题,此题解法多样,本文从不同知识层面和思维角度出发,列举了几种经典解法,跨越初中、高中学段,是初高中知识内容和思维方法衔接的一个很好素材,启迪思维,打开思路。题目:如图1,四边形ABDC、CDFE、EFHG是3个连续的正方形,∠ADB=α,∠AFB=β,∠AHB=γ,求证:α+β+γ=90°。这道经典老题,用初中学过的知识能解决,用高中学过的知识也能解决,不少学校在初高中衔接阶段,或准备自主招生考试时,经常将此题介绍给学生。
This is a classic old question, this question is diverse, this article from different knowledge level and thinking point of view, enumerated several classical solutions, across junior high school, high school section, is the beginning of high school knowledge content and thinking method of convergence of a good material , Inspire thinking, open ideas. Title: As shown in Figure 1, the quadrilaterals ABDC, CDFE, and EFHG are three consecutive squares. ∠ADB = α, ∠AFB = β, ∠AHB = γ. Verify that: α + β + γ = 90 °. This classic old question can be solved with the knowledge of junior high school and can be solved with the knowledge of high school. Many schools often introduce this question to students when they meet in the first phase of high school or when preparing for their own entrance examination.