数学知识的学习常常有一定层次性,因而教材的编排也是由浅入深,由表及里,具有自身的体系性。然而我们又不可能一气呵成地学完全部理论知识再去应用,因此通常是在学习了一部分知识之后,做一定量的习题去巩固所学并加以应用。于是教材一般会按章节给出一定量的习题供学习者思考、研究。此时,解题者往往是根据已学知识来给出分析、解答过程。笔者认为这只是解题的初级阶段。随着所学知 The study of mathematical knowledge often has a certain level, so the textbook layout is also from shallow to deep, from the table, with its own system. However, it is impossible for us to finish all the theoretical knowledge in one go, and then apply it. Therefore, after learning a part of the knowledge, we usually do a certain amount of exercises to consolidate and apply it. So the textbook will generally give a certain amount of exercises according to the chapter for learners to think and study. At this point, the problem-solving is often based on knowledge has been given to analyze and solve the process. I think this is only the initial stage of problem solving. As you learned