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空间向量法和传统的几何法比较起来,在立体几何问题上,如证垂直,求异面直线形成的角、线面角、二面角等都可以避开传统几何法的一作、二证这两个步骤,直接求解,具有较为明显的优势。因此,在传授了传统几何法解决立体几何问题的基础上,教师有必要向学生补充传授立体几何问题的空间向量解法,让学生掌握空间向量法解立体几何,拓宽学生的知识面提高学生高考的得分能力。
Compared with the traditional geometric method, the space vector method can avoid the traditional work of geometric method on the three-dimensional geometric problems, such as perpendicularity of vertical lines, line angles, dihedral angles, etc. Two steps, direct solution, has obvious advantages. Therefore, on the basis of teaching the traditional geometric method to solve the problem of solid geometry, it is necessary for the teacher to supplement the students with space vector method to teach the problem of solid geometry, to enable students to master the space vector method to solve the solid geometry and broaden the students ’knowledge to improve the students’ Scoring ability.