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本文以2016年广州一模的解析几何题为例,利用波利亚解题表(弄清问题、制定计划、实施计划、回顾)及罗增儒教授的学会解题的四步骤程式“(简单模仿、变式练习、自发领悟、自觉分析),重点探讨如何求解平面解析几何问题.在整个解题过程中,注重思想方法的渗透,注重回顾的整个过程,与此同时,合理利用参数方程,简化解析几何问题中的数学运算,缩短解题时间.
In this paper, we take the example of the analytic geometry in Guangzhou in 2016 and make use of the Polya’s problem solving table (clarifying the problem, formulating the plan, implementing the plan and reviewing it) and Prof. Luo Zengru’s four-step program of ” , Variant exercises, spontaneous comprehension, conscious analysis), focusing on how to solve the geometric problem of plane analysis throughout the problem-solving process, pay attention to infiltration of thinking methods, focusing on the entire review process, at the same time, the rational use of parametric equations to simplify Analyze mathematical problems in geometry problems and shorten the solution time.