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同学们在解答立体几何问题的过程中,往往会遇到三个难关:一是难以想像出满足已知条件的空间图形;二是难以将题设的条件与所学知识合理整合并进行有效的逻辑推理;三是虽过了前两关,但是在进行定量分析时,难以寻找合理的运算途径,从而导致解题半途而废。那么,怎样才能过好这三关呢?笔者认为,合理地运用立体几何中常用的六种解题思路与方法,将有利于问题的解决.本文结合2003年高考题谈谈立体几何中常用的六种解题思路和方法.
Students in the process of answering three-dimensional geometric problems, often encounter three difficulties: First, it is difficult to imagine the space to meet the known conditions of graphics; Second, it is difficult to set the conditions and knowledge of reasonable integration and effective Logical reasoning; Third, although after the first two levels, but in the quantitative analysis, it is difficult to find a reasonable way of computing, leading to the problem halfway. So, how can we improve the three? I believe that the rational use of three-dimensional geometry commonly used six kinds of problem-solving ideas and methods will help solve the problem.This paper combines the 2003 entrance examination talk about the three-dimensional geometry commonly used Six kinds of problem-solving ideas and methods.