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这是全国优秀课评比的一堂得奖课的教学片段实录 .课堂上的精彩、生动与丰富之处 (部分已反映在评注上 ) ,自然不是纸面上的一篇小设计所反映得了的 !然而 ,我们仍然看到了一处处精妙绝论之笔 :先列举事例、现象、图形 ;由学生概括它们的共同点 ;然后再提炼出新概念的名称——这是完全符合事物实在的发生过程的匠心之笔 .给“相似三角形”下定义 ,设计了一个由模糊走向精确的发展过程 :需要由模糊走向精确 ;以及怎样由模糊走向精确 (类比全等三角形 )——这也是不同凡响的重过程的设计 .抓住三角形相似与位置无关这一点 ,着重说明 ,可以从有特殊位置关系的相似三角形入手 ,先导出预备定理 .是怎样的特殊位置关系的相似三角形呢 ?——这样的安排也应是为突现发现过程所不可或缺的 !
This is a lecture recording of a prize-winning class in the National Excellent Course Evaluation. The wonderful, lively and rich lessons in the class (some of which have been reflected in the commentary) are naturally not reflected in a small design on paper! However, we still see a pen of exquisite conclusions: First, list examples, phenomena, and graphs; Summarize their common points by students; and then extract the name of a new concept—this is in full compliance with the process of actual occurrence of things. The ingenuity of the pen. Define the “similar triangles” and design a process from the fuzzy to the precise development: from the fuzzy to the precise; and from the fuzzy to the precise (analogous equal triangles) - this is also an extraordinary process The design, which captures the similarity of triangles and positions, emphasizes that it is possible to start with similar triangles with a special positional relationship, first exporting the preliminary theorem. What is the similarity triangle of special positional relations?—this arrangement should also be It is indispensable for the sudden discovery process!