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1.相似法作图的实际意义中学课本相似法作图是紧接着相似三角形位似之后提出的。在这之前,几何作图着重在交轨法,但在学习位似形性质之后,便给我们创造了一种新的作图方法的条件。的确有许多作图题,施用相似法,有时会迎刃而解,所以在中学几何下一阶段介作图题的学习中,相似法作图是个重要内容。通过相似法的学习,使作图题介法更多样化,对介作图题的范围更广,方法更易,这必然会使中学生学习的兴趣更浓厚。当教师讲介了“已知三角形三边之比和一个綫性元素,求作这三角形”这类作图题之后,学生们会油然而生一种感觉这多么便当呀!多么合理呀!
1. The practical significance of the similarity mapping method The similarity mapping in the middle school textbooks was proposed immediately after similar triangles. Prior to this, geometric mapping focused on the cross-track method, but after learning the plausible nature, it gave us the conditions for a new mapping method. There are indeed many drafting questions. Applying the similarity method can sometimes solve the problem. Therefore, in the study of drawing questions in the next stage of middle school geometry, similarity mapping is an important content. Through the study of similar methods, the diversification of the drawing questions is more diversified, and the scope of the topic is wider and the method is easier. This will inevitably make the middle school students more interested in learning. After the teacher introduced the “triangle of the known triangles and a linear element to the triangle”, the students would feel a sense of how easy it was! How reasonable!