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如果将历年的高考解析几何解答题放在一起进行研究,不难发现,虽然在试题的呈现手段、材料组织、设问方式等方面不断变化创新,但以极点极线作为背景命制的试题屡见不鲜,这既是高考考查潜能的需要,也是命题者学术背景使然.本文首先介绍射影几何的极点、极线概念,并引用射影几何中的3个定理,在此基础上进一步揭示高考解析几何题所蕴涵的射影几何背景,“识破”试题中
It is not difficult to find that if we put together the historical analysis of the college entrance examination analytic geometry problems, we can find that although there are many changes and innovations in presenting the examination questions, material organization and the way of asking and answering questions, , Which is not only the need of examining the potential of college entrance examination but also the academic background of the proponent.Firstly, this paper introduces the concept of pole and polar line of projective geometry, and cites three theorems in projective geometry, on the basis of which, Projective geometry background, “Breakthrough ” test questions