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高中课本《立体几何》(甲种本)第51面复习参考题A组第10题“三个平面两两相交,有三条交线求证这三条交于一点交互相平行。”(以下简称习题)该题84年被选作高考理科试题之一。其实与该题异曲同工的有这样一道提,“平面四边形EFGH的四个顶点分别在空间四边形ABCD的四条边上,那么(1)如果EH//FG,则EH//BD,FG//BD;(2)如果EH与FG所在的两条直线相交,则交点在直线BD上。如图1和2”。此题与习题相比,叙述更加具体,学生容易入手,教师应向学生指出两题的一致性,使两题相互映证,
High School Textbook “Three-Dimensional Geometry” (A kind) This is the 51th face of Review Question Group A Question 10 “The three planes intersect each other, and there are three lines of intersection to verify that the three lines intersect at one point in parallel.” (Hereinafter referred to as exercises) This question was selected as one of the subjects for science in the college entrance examination in 84 years. In fact, this is similar to the same thing in the subject. "The four vertices of the planar quadrilateral EFGH are respectively on the four sides of the space quadrilateral ABCD, then (1) if EH//FG, then EH//BD, FG//BD; (2) If EH intersects the two lines where FG is located, then the intersection point is on line BD (Figures 1 and 2). Compared with the exercises, the narrative is more specific and the students are easy to start. The teacher should point the students to the consistency of the two questions and make the two questions reflect each other.