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如何引导学生学好平面几何证题,提高他们的逻辑推理能力?我以为,首先要抓好证题基本功的训练。具体说来,要让学生掌握以下三项基本功:一、找“已知”和“求证”的基本功这项基本功的训练,可分三步进行:首先告诉学生,几何命题最基本的模式是“如果……,那么……”,“如果”后面是条件(已知)部分,“那么”后面是结论(求证)部分。比如在命题“如果两条直线被第三条直线所截得的同位角相等,那么这两条直线平行”中,“两条直线被第三条直线所截得的同位角相等”是已知部分,“这两条直线平行”是求证部分。不过,一般命题不一定都有“如果”、“那么”两个词,因此第二步就应要求学生学会按照“如果……,那么……”的形式改写命题,从而找出已知和求证。比如“两条直线相交,只有一个交点”,让学生加上
How to guide students to learn a good plane geometry testimony, improve their logical reasoning ability? I think, we must first grasp the basic skills of the training of the question. Specifically, let students have the following three basic skills: First, find the basic skills of “known” and “confirmation” The training of basic skills can be divided into three steps: first tell students that the most basic model of geometric proposition is “ If ..., then ... ”,“ if ”followed by the conditional (known) part,“ then ”is followed by the conclusion (confirmation) part. For example, in the proposition “If two identical straight lines by the third straight line is equal, then the two straight lines parallel”, “two straight lines by the third straight line is equal to the same phase angle” is known Part, “the two straight lines parallel” is to verify part. However, general propositions do not always have the words “if” and “then”, so the second step should require students to learn to rewrite propositions in the form of “if ... then ...” . For example, “two straight lines intersect, only one intersection,” for students to add