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图形的直观性不强是造成解答立体几何困难的重要原因,特别是求点到平面的距离和二面角的大小,作图比较困难,作出的图形比较复杂,对观察、计算、证明都带来很大困难,同学们往往需要在看图上花费较多时间.这也是为什么在解决这类问题的时候,几何方法被放弃、向量方法大行其道的原因所在吧.如何通过对图形的巧妙处理,增强图形的直观性,降低用图的难度,这是学习立体几何应当重视的问题.其实,如果掌握了图形的处理技巧,几何方法也会变得容易,并且其计算量大大减少、正确率会大大高于向量法.
The lack of intuitive graphics is an important reason for the difficulty of solving solid geometry problems. In particular, it is difficult to make a drawing from the point-to-plane distance and the dihedral angle. The graphics made are rather complex, and the observation, calculation, To great difficulty, students often need to spend more time on the map, which is why in solving these problems, the geometric method is abandoned, the vector method popular reason why how to deal with the clever graphics, Enhance the visualization of graphics and reduce the difficulty of the use of graphics, which is to learn the issue of solid geometry should pay attention to.In fact, if you master the graphics processing skills, geometric methods will become easy, and the amount of computation greatly reduced, the correct rate will Much higher than the vector method.