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勾股定理揭示了直角三角形三边之间的数量关系,紧密联系了数学中两个最基本的量——数与形,堪称数形结合的典范.八年级学生已具备一定的分析与归纳能力,初步掌握了探索图形性质的基本方法.但是学生对用割补方法和面积计算证明几何命题的意识和能力存在不足,不能将数与形有机地结合起来.通过学习勾股定理,学生可对直角三角形有进一步的认识和理解.
The Pythagorean theorem reveals the quantitative relationship between the three sides of a right-angled triangle, and closely links the two most basic quantities in mathematics: number and shape. It can be called a model for the combination of number and shape. The eighth-grade students already have a certain analysis and induction. The ability to initially grasp the basic method of exploring the nature of the graph. However, students lack the awareness and ability to prove geometric propositions using the method of cutting and area calculation, and cannot combine the number and shape organically. By learning the Pythagorean Theorem, students can Have a further understanding and understanding of the right triangle.