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三垂线定理是“空间直线与平面”一节中的重点和难点。笔者听了茅于渊老师的讲课,他用两课时讲授了三垂线定理、逆定理及其应用。他的讲授层次清楚,步步深入,注意新旧联系,重视培养思维能力,使人听后受益颇多。一、注意知识迁移,自然导入新课。在介绍三垂线定理之前,先围绕直线与平面的位置关系,提出几个问题。 1、直线和平面的位置关系有几种? 2、直线和平面相交有几种不同情况? 3、平面的垂线和斜线在平面内的射影是什么? 在此基础上教者指出,平面的垂线必垂直于这平面内的一切直线,而斜线不能与这
The triple perpendicular theorem is the key and difficult point in the section “Spatial Straight and Plane”. The author listened to Mao Yuyuan teacher's lectures, he taught three vertical lines theorem, inverse theorem and its application with two classes. His level of teaching clearly, step by step, pay attention to old and new connections, attention to cultivate the ability to think, make a lot of people listen to. First, pay attention to knowledge transfer, naturally into the new lesson. Before introducing the three-perpendicular theorem, we first put forward some questions about the positional relationship between the straight line and the plane. 1, the relationship between the number of linear and the plane? 2, the intersection of the line and the plane there are several different situations? 3, the plane perpendicular and oblique projection in the plane is what? On this basis, the teacher pointed out that the plane The perpendicular must be perpendicular to all the straight lines in this plane, and the oblique line can not be associated with this