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一、问题的提出最近两年,我们从高考阅卷的抽样分析中发现,学生做立体几何题的能力较差,无论是空间想象能力,还是逻辑推理能力,都存在着不少问题。1983年,我们抽样分析了1000份高考试卷,发现第6题(一道立几题,附原题如下)零分率达17%,仅略好于最难的第9题,两极分化的现象比较严重。第6题:“如图,在三棱锥S—ABC中,S在底面上的射影N位于底面的高CD上;M是侧棱SC上的一点,使截面MAB与底面所成的角等于∠NSC。求证SC垂直于截面MAB。”学生主要的
First, the problem raised In the past two years, we sampled from the college entrance examination papers found that students do three-dimensional geometric problems less capable, both spatial imagination, or logical reasoning, there are many problems. In 1983, we sampled and analyzed 1000 college entrance examination papers. We found that the 6th part (a few questions with the following title) scores a fraction of 17%, only slightly better than the hardest Question 9, and compared the polarization serious. Problem 6: “In the triangular pyramid S-ABC, the projection N of S on the bottom surface is on the high CD of the bottom surface; M is the point on the side edge SC that makes the angle between the cross-section MAB and the bottom surface equal to ∠ NSC. Confirmation SC perpendicular to section MAB. ”Student major