第五节数学解题过程数学问题数学问题可以看成是由初始状态(即题的条件)、最终状态(即题的结论)、解(即由初始状态到最终状态转化的过程)、解题基础(即由初始状态到最终状态转化的理论与实践的基础)所构成的系统。如果系统中的四个要素对于解题者而言全部都是已知的,那么这个系统就称为稳定系统,记为R_0。如果上述四个要素中至少有一个是未知的,又至少有一个是已知的,则该系统对于解题者就成为问题 Section 5 Mathematical Problem-solving Process Mathematical problems Mathematical problems can be seen as the initial state (ie the conditions of the question), the final state (ie the conclusion of the question), the solution (ie, the process of transforming from the initial state to the final state) Based on the theory (that is, from the initial state to the final state transformation and the basis of the practice) formed by the system. If all four elements in the system are known to the solver, then the system is called a stable system, denoted R_0. If at least one of the above four elements is unknown and at least one is known then the system becomes a problem for the solver