探究性问题是培养学生能力的好素材,本文介绍一个探究性问题,希望对同学们有所启发和帮助.1问题的提出在平面上,不共线的三点可以确定一个圆,类比可以探讨:在空间,任意不共面的四点A,B,C,D是否一定在同一个球面上?2问题的解决空间任意三点共面,不妨设A,B,C三图1点共面α,因为A, The inquiry question is a good material for cultivating students’ ability. This article introduces an inquiry question and hopes to inspire and help the classmates. 1 The question is proposed in the plane, the three points that are not collinear can determine a circle, and the analogy can be discussed. : In the space, does any of the four points A, B, C, and D that are not coplanar must be on the same sphere? 2 The solution to the problem is that any three points are coplanar. Let us assume that A, B, and C are all three points. α, because A,