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根据教学大纲的规定,在第二章三角形中,研究了全等三角形的性质以后,是须继续研究三角形的不等量问题。为什么要研究三角形的不等量问题?怎样把它教好学好?它与整个平面几何教学有什么关系?这里提供一些初步的看法,供同志们在教学中的参考。 1.三角形中不等量问题在几何教学中的地位和作用: 在客观事物中,等量和不等量是具有相互对立又相互制约的关系。由于有不等量的存在,才能有等量的存在,相反地,既然有等量的关系,那末就必定有不等量的关系。因此,作为研究特例的形状、大小、和相互位
According to the provisions of the syllabus, after studying the properties of congruent triangles in the second chapter of triangles, it is necessary to continue to study the problem of unequal triangles. Why study the triangle’s unequal problem? How to teach it well? How does it relate to the whole plane geometry teaching? Here are some preliminary views for the reference of the comrades in teaching. 1. The status and role of the problem of unequal triangles in geometry teaching: In the objective things, the equal quantity and the unequal quantity are mutually antagonistic and mutually restrictive. Since there is an unequal amount of existence, there can be an equal amount of existence. On the contrary, since there is an equal amount of relationship, there must be an unequal relationship. Therefore, the shape, size, and mutual position of the study as a special case