波利亚“怎样解题”表在中学几何题中的运用——以2016年山西中考数学22题为例

The Reflection of Polya's “Problem Solving” Sheet in the Middle School Geometry——A Case Study of the Twenty-second Question of Shanxi Middle School Mathematics Exam in 2016

波利亚"怎样解题"表广泛运用于数学解题教学中,解题表给予师生一种思维方式,能够高效帮助学生解答问题.以一道山西省中考题中典型的几何题目为例,以波利亚解题理论为支撑,分析解题思路,得到解题思路自然生成的启示,更好地辅助教师进行解题教学.

Polya＇s＂problem solving＂table is widely used in the teaching of the mathematics problem solving, and received good effect. This form gives teachers and students a way of thinking, which can help students to solve questions efficiently. In this paper, a typical geometric problem in the middle test of Shanxi is taken as an example, and analyze the problem-solving thoughts according to Polya＇s disintegration theory to get the inspiration of the idea of solving the problem naturally, so as to better assist teachers in the teaching of solving problems.