若某几何量或几何元素的位置关系存在时,某点或线或面应具备何种条件的问题,就是立体几何中的探索性问题。立体几何的探索性问题立意新,形式多样,在近几年的高考试题中频频出现,是高考的热点之一,体现了“开放探索,考查探究精神,开拓展现创新意识的空间”的高考命题指导思想与命题原则。空间向量在解决立体几何的探索性问题中扮演着举足轻重的角色,是研究立体几何的探 The question of what conditions a certain point or line or plane should have if a geometrical quantity or position of a geometrical element exists is an exploratory issue in stereoscopic geometry. Three-dimensional geometric exploration of new ideas, diverse forms, frequently appeared in college entrance examination papers in recent years, is one of the hot spots in the college entrance examination, embodies the “open exploration, explore the spirit of exploration, open up to show the space for innovation”. College entrance examination propositions and propositions. Spatial vectors play a decisive role in solving the exploratory problems of solid geometry,