例谈波利亚“怎样解题”的提示语在高考数学解题中的应用——以2015年全国文科数学Ⅱ卷第19题为例

Research on the Application of Prompt Language of Polya's “How to Solve It” for the Problem Solving in College Mathematical Entrance Examination: Based on the Case of 19^(th) Question in the National Liberal Arts mathematics Ⅱ volume of 2015

以波利亚在《怎样解题》一书中给出的"怎样解题表"为研究对象,通过深入分析"怎样解题表"所给出的一系列提示语,结合实际例题的解答过程,阐述波利亚"怎样解题"提示语在高考解题中的应用,为数学解题教学提供参考.

This paper takes Polya's 'How to problem- solving table'in the book of 'How to Solve It'as a case,try to analysis the prompt language in 'How to problem- solving table'and combining with the practical process of example solution to explain the application of prompt language in Polya's'How to Solve It'so as to provide a reference for the teaching of mathematical problem solving.