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等腰直角三角形在旋转变换下的探究性问题,是近几年中考数学命题的热点,其探究过程常与三角形的全等和相似、勾股定理、正方形的性质以及函数方程等知识有关,是一类对能力要求较高的问题.现以中考试题为例,具体归纳为以下几种类型进行分析.一、90°角绕直角顶点旋转例1(2015年汕尾)在Rt△ABC中,∠A=90°,AC=AB=4,D,E分别是边AB,AC的中点.若等腰Rt△ADE绕点A逆时针旋转,得
Isotropic rectangular triangles in the rotational transformation of the inquiry is the hot topic in recent years, mathematics proposition, the inquiry process is often associated with the equality and similarity of the triangle, the Pythagorean theorem, the nature of the square and the equation of knowledge and other related knowledge is A class of higher ability to ask questions. Now take the examination questions as an example, specifically summarized as the following types of analysis .A 90 ° angle around the right-angle vertex rotation Example 1 (Shanwei 2015) In Rt △ ABC, ∠ A = 90 °, AC = AB = 4, D, E, respectively, the middle point of the side AB, AC If the isosceles Rt △ ADE around the A counterclockwise rotation, too