在直棱柱中找过某一线段且满足其他条件的平面的问题,由于此类考题思维的逆向性,加之需要较强的空间想象力,是立体几何考查中的一个难点。解决此类问题往往依据的是对直棱柱性质的熟练程度和解题经验。本文通过具体例子,利用空间向量,找到了一种解决此类问题的通法。 The problem of finding a plane in a straight prism and satisfying other conditions is due to the inverse nature of this type of question and the need for a strong spatial imagination, which is a difficult point in the examination of solid geometry. Solving such problems is often based on the proficiency and problem solving experience of the properties of the straight prism. This article uses a concrete example to use space vectors to find a common way to solve such problems.