谈波利亚关于数学解题的思维艺术

On Thinking Technique of Polya's Mathematical Solutions to Problems

波利亚根据他的数学研究经历和其他数学家的实践经验，结合他的数学教育实践，全面、系统地对数学解题的思维艺术进行了研究和总结。本文侧重把握波利亚关于问题──求解（计划、辅助问题和问题链）──发现和发明的方法和规律方面的思想，旨在为我们学会猜想，提高解题能力服务。

Polya has researched and summarized systemtically thinking technique of the mathematical solutions to problems, that has based on his experience of mathematical researching and other mathematicans' practice experience, combined with his mathematical teaching practice. The paper stressly analyses Polya's thought on 'problem-solve(planning, auxiliary problem and problem chain) -method and law of discover and invent', its aims is serving to teach our guess and to raise ability of solutions to problems.