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立体几何是学生学习数学深感困惑的一科.一道五、六成难的立几题,学生做起来,其难度似不在八、九成难的其它数学题之下.究其原因,一是不善分析题中线、面位置关系,二是缺乏解决问题的方法及综合手段而难以入手.因而对典型例题进行剖析,疏理线面中平行、垂直等关系,再用一题多解的形式,在一道题中展现过去学过的各种知识与方法,加以归纳总结,比较其特点与优劣,从中悟出解题规律.这样做,有利于在复习中知识的系统性,方法的全面性.这样做,可使学生有法可循,有路可走,会分析,不畏难.笔者以为:这确实是立体几何复习中事半功倍之举。试举几例供同行指正。
Three-dimensional geometry is a subject that students are deeply puzzled by when they study mathematics. It is difficult to establish a problem with 50% or 60% of students. It is difficult for students to do it, and the difficulty is not under the other math problems that are difficult for eight or nine times. The reason is as follows: Mistakes in the analysis of the midline and surface position of the questions, and the lack of solutions to problems and comprehensive means are difficult to obtain. Therefore, typical examples are analyzed, and the relationship between parallel and perpendicular lines in the line surface is dispelled, and then the multiple solutions are used. In a question, it shows all kinds of knowledge and methods that have been studied in the past, summarizes them, compares their characteristics and advantages and disadvantages, and realizes the law of problem solving. This will be beneficial to the systematicness of the knowledge in the review and the comprehensiveness of the method. In doing so, students will be able to follow the law, have a way to go, will analyze, fearless. I believe: This is indeed a three-dimensional geometric review of the move. Give a few examples for peer correction.