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判定和证明三角形相似和利用三角形相似解题,是中考的重点之一。此类题目大多以判定三角形相似、写出相似三角形、证明三角形相似、利用三角形相似解题四种形式出现。近年来中考压轴题多以图形变换型背景出现,而图形变换的背后大量蕴含着相似三角形,如何选取相似形进行判定,并利用相似比的关系式处理相关问题尤为重要。下面我们以试题为例,跟同学们边解边说吧:
Judging and proving that triangles are similar and solving similar problems using triangles is one of the focuses of the examination. Most of these topics appear in four forms: similar triangles, similar triangles, similar triangles, and similar triangles. In recent years, the title of Chinese exams has mostly appeared in the background of graphic transformation. However, there are a lot of similar triangles behind the graphic transformation. How to select the similarity form for judgment, and use the similarity ratio to deal with related issues is particularly important. Here we take the exam as an example. Let’s talk with the students: