立体几何中的探索性问题是近年高考命题的一个新的亮点,它侧重考查学生观察发现、类比转化以及运用数学知识分析和解决数学问题的能力.利用空间向量的有关知识,可以有效解决这类问题,它无须进行复杂繁难的作图、论证、推理,只须通过坐标或向量运算进行判断.在解题过程中,往往把 The exploratory problem in the three-dimensional geometry is a new bright spot of the college entrance examination proposition in recent years. It focuses on the ability of students to observe observations, analogical transformations, and the use of mathematical knowledge to analyze and solve mathematical problems. Using the knowledge of space vectors can effectively solve such problems. The problem is that it does not require complicated and complicated graphing, argumentation, and reasoning. It only needs to be judged by coordinate or vector operations. In the process of solving problems, it is often