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数学中平面图形的变换主要包括:平移、旋转、翻转与折叠(以下简称“翻折”)等几个方面,它们所蕴含的数学思想、方法丰富,在培养同学们的空间观念、几何直观等方面有很好的作用;特别图形变换中所蕴含的不变原则能指引同学们合理的推理、探索.笔者就图形变换中的翻折问题选取几例,与大家交流.一、翻折变换在生活中的运用例1(2013年青海西宁)在折纸这种传统手工艺术中,蕴含许多数学思想,我们可以通过折纸得到一些特殊图形.把一张正方形
The transformation of plane graphics in mathematics includes several aspects such as translation, rotation, flip and folding (hereinafter referred to as “folding ”) and so on. The mathematical ideas and methods they contain are rich in cultivating the students’ Intuitive and so has a good effect; the special graphics transformation contained in the principle of invariance can guide students reasonable reasoning, exploration. The author on the graphics transform in the selection of a few cases of turnover, to exchange with you. Transformation in the use of life Example 1 (2013 Xining, Qinghai) Origami in the traditional art of handcraft contains many mathematical ideas, we can get some special graphics by origami. A square