1967年在波兰华沙举行的中学生物理竞赛试题中,有一道求无限多电阻器网络总电阻的题目。刊登在《物理教学》1982年第2期第34页上。由于这道题设计新颖,解答构思巧妙,引起了不少学生的兴趣.有的学生一见到网络是很有规律的方格子,便试图从数列的知识中寻觅解题途径,终因思路不对而白费了气力。为了提高学生分析能力,扩大解题思路,现用电路分析法解答该题。这道题目是: In the 1967 Middle School Students Physics Contest held in Warsaw, Poland, there was a problem of finding the total resistance of an infinite number of resistor networks. Published in “Physics Education”, 1982, No. 2, p. 34. Due to the novel design of this topic and the clever design of the solution, it has attracted a lot of students’ interest. When some students see the Internet as a regular grid, they try to find solutions to the problem from a series of knowledge. And in vain. In order to improve student’s analytical ability and expand the problem-solving ideas, the circuit analysis method is used to solve the problem. This topic is: