两个平面垂直的判定和性质是立体几何教学中的重要内容,能较好地培养学生空间想象能力、提高学生逻辑推理能力。但也正由于学生空间想象能力、思维深度发展不平衡等多方面因素的影响,学生在解题时常出现种种错误解答,把这些错误梳理一下,可归结为下列四个方面:一、对二面角的定义及范围认识不清导致错误例1:如图,在空间四边形ABCD中,AD= The judgment and nature of the two vertical planes are important contents in the three-dimensional geometry teaching, which can better cultivate students ’spatial imagination ability and improve students’ logical reasoning ability. However, due to the influence of many factors such as students’ imagination in space and unbalanced development of thinking, students often make various mistakes in solving problems. Combining these mistakes can be summed up in the following four aspects: First, The definition and scope of the corner of knowledge led to the wrong result Example 1: As shown in the figure, in the space quadrilateral ABCD, AD =