立体几何主要研究线面、面面的平行与垂直及距离和角等问题,而以它们为背景的探索性问题是近年来高考数学命题创新的一个显著特点,以其较高的新颖性、开放性、探索性和创造性深受命题者的青睐。由于此类问题涉及的点具有运动性和不确定性,所以用传统的方法解决起来难度较大,若用向量方法处理,尤其是引入坐标表达的空问 Stereo geometry mainly studies the problems of line and plane parallelism and vertical distance and angle and so on. The exploratory problem based on them is a significant feature of the innovation of mathematics proposition in college entrance examination in recent years. With its high novelty and openness Sexual, exploratory and creative by the proponents of all ages. Since the points involved in such problems are motile and uncertain, they are more difficult to be solved by the traditional method. If vector processing is used, especially the spatial expression