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一次高考考了这么一道题: “已知三个平面两两相交,有三条交线,求证这三条交线交于一点或互相平行。”当时我参加阅卷工作,对卷面出现的种种情况进行了详细的记录,现在离这次考试虽已很久了,但这些珍贵的第一手资料通过回味,捉摸,尤其经过在教学实践中的再体会,更觉意味深长,我把它重加分析、整理,谈谈自已的一些浅见,也许对教师、教研人员、教育理论工作者及考生都是有价值的。一、看双基训练这道考题不算难,但出现了多种好的证法,有完整,严格的标准证法,又有种种巧妙的变式体现出学生有扎实的双基训练。下面略举数例,以示一斑。设三平面α、β、γ两两相
One college entrance exam took such a question: “It is known that the three planes meet each other and there are three lines of intersection. Verify that the three lines of intersection intersect at a point or parallel.” At that time, I participated in the marking work and performed various situations on the surface of the reels. A detailed record, although it has been a long time since the examination, but these precious first-hand materials have become more meaningful and profound through the aftertaste, the elaboration, and especially the experience in teaching practice. I will reanalyze it, Organizing and talking about some of their own views may be valuable for teachers, teaching and research personnel, educational theory workers, and candidates. First, to see the dual-base training exam questions is not difficult, but there have been a variety of good evidence, there are complete, strict standard certification, there are all kinds of clever variants reflect the students have a solid double-base training. Here are a few examples to illustrate. Set three planes α, β, γ two phases