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承载着空间想象能力、逻辑推理能力、运算能力考查的立体几何试题,在历年的高考中被定位于中、低档难度.随着教材中空间向量的进入,命题又出现了“一题两法”的新格局,打破了传统方法和现代方法各自独立命题互不联系的僵局.2007年的全国高考数学试卷中,立体几何试题的命制情况怎样,对教学又有哪些新的启示呢?这里试述一二,供大家参考.
The three-dimensional geometric examination questions that carry spatial imagination ability, logical reasoning ability, and computation ability are positioned in the mid- and low-grade difficulty in the previous college entrance examination. With the entry of the space vector in the teaching materials, the proposition has appeared the “two questions” method. The new pattern of “breakthrough” breaks the stalemate in which the independent propositions of the traditional method and the modern method are not related to each other. In the 2007 National College Entrance Examination mathematics test paper, how was the life-threatening situation of the three-dimensional geometric examination questions, and what new inspiration was there for teaching? Here’s one or two for your reference.