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在立体几何中,常常需要过定点作已知平面的垂线和作二异面直线的公垂线。这样的垂线、公垂线是否存在、唯一?具体作法又怎样?现行课本并未论及。如果不解决这些问题,无论对学生全面深刻地理解有关概念,还是对他们智能的发展来说,都是很不利的。从近年来学生的各种考卷中看出,立体几何的试题得分率最低,绝大多数学生画不出正确的空间图形。空间想象能力相当差。因此,我认为应当重视立体几何基本作图的教
In the three-dimensional geometry, it is often necessary to use a fixed point as a vertical line of a known plane and a vertical line as a straight line of two different surfaces. Is there such a vertical line or a vertical line as the only one, and what is the specific practice? The current textbook does not address it. If you do not solve these problems, it will be very unfavorable for students to fully understand the relevant concepts, or for the development of their intelligence. From the various examination papers of students in recent years, it can be seen that the three-dimensional geometric test score is the lowest, and most students cannot draw the correct spatial pattern. Space imagination is rather poor. Therefore, I think we should pay attention to the teaching of basic geometric drawing.