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一直线截另两条直线,可构成八个角,这在平面几何中通常简称为“三线八角”。我们又根据其位置关系对不共顶点的角,分成同位角、内错角和问旁内角三种。对学生来说,能否正确区分这三种角,直接影响到对平行线这部分内容的学习,甚至对于初三快班的学生也有因“三线八角”辨别不清而影响相似形和圆的学习的情况。所以我们应重视“三线八角”的教学。人民教育出版社出版的初级中学平面几何第一册《教学参考》一书上指出:“三线八角”的教学重点应放在三种角的概念上,为掌握三种角,关键是在各种图形中如何快、准地辨别出不共顶点的两角是由哪两条直线被
A straight line intercepts two other straight lines and can form eight corners. This is usually referred to simply as “three-line octagonal” in plane geometry. According to its positional relationship, we also divide the angles of non-common vertices into three types, ie, the isoscending angle, the internal offset angle, and the inward angle. For students, the ability to correctly distinguish the three angles directly affects the learning of this part of the parallel line. Even for students in the first three classes, it is difficult to discriminate between “three lines and eight horns”, affecting similar shapes and circles. Learning situation. Therefore, we should pay attention to the teaching of “three lines and eight horns.” People’s Education Press published a book on the teaching of the first-level secondary school plane geometry “Teaching Reference”: “Three lines and eight horns” teaching should focus on the concept of the three angles, in order to grasp the three angles, the key is in various How quickly and quasily distinguish between the two corners that have no common vertices in the graph