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初中数学新课程中,几何部分变化较大,增加了几何变换的内容,先学几何变换,再学几何证明.注重渗透几何变换的思想,有利于培养我们的解题能力,在解决一些竞赛题时,我们的思路也更加开阔.2004年全国初中数学竞赛第二试中的几何题就可以用我们课内学过的平移、旋转、轴对称等几何变换的思想作出多种辅助线,从而得出多种不同的证明方法.
In the junior mathematics new course, the geometric part changes greatly, and the content of the geometric transformation is added. The geometry transformation is first studied, and the geometrical proof is revisited. Paying attention to the idea of penetrating geometric transformation is conducive to cultivating our ability to solve problems. When we solve some competition problems, our thinking is also more open. In the second trial of the 2004 junior high school math competition in China, we can use the thoughts of geometric transformations such as translation, rotation, and axisymmetrical changes learned in our class to create a variety of auxiliary lines, and thus obtain a variety of different methods of proof.