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几何图形是客观世界物体的抽象。客观世界是千变万化的,几何图形就必然是千姿百态的。因而在平面几何教学的开始阶段,注意图形的变式教学,让教学生接触各种位置的图形,强调图形的本质属性,对提高学生认识图形的能力是有益的。例如讲平行线时,不一定把平行线都画成图1的标准形式,因为在实际中遇到的平行线不都是这种形式的,以后解题也会遇到各种位置的平行线。教学时,有意识地画出如图2的各样变式图形,强调它们的本质属性,可提高学生认识平行线的能
Geometry is an abstraction of an objective world object. The objective world is ever-changing, and geometric figures must be varied. Therefore, at the beginning of the teaching of plane geometry, we pay attention to the variable teaching of graphics, let the students touch the graphics of various locations, emphasize the essential attributes of the graphics, and it is beneficial to improve students’ ability to recognize graphics. For example, when talking about parallel lines, the parallel lines may not necessarily be drawn into the standard form of Figure 1, because the parallel lines encountered in practice are not all of this form. Later, the problem will also encounter parallel lines at various positions. . During teaching, consciously draw various variants as shown in Figure 2, emphasizing their essential attributes, can improve students’ ability to understand parallel lines.