成功的解题需要我们能充分挖掘问题中的信息,通过对信息的解构与重构中让我们更多地看清问题中各条件之间的联系,揭示出数学内容更内在的逻辑结构和直截了当的关系,同时在问题信息的解构和知识重构中推动解题过程的改进优化和解题成果的扩大。数学学习离不开解题,面对同一个数学问题,解决的途径可能是多样的,在探求的过程中每位解题者的收获又是各异的。解决数学问题时一个严谨的论证求解给人以美的享受,但有时漂亮的求解过程往往隐藏了解题者对问题火热思考的过程,缺少了解题者 Successful problem solving requires that we fully tap the information in the problem and let us see more clearly the connection between the conditions in the problem through the deconstruction and reconstruction of the information to reveal the more logical structure and straightforward mathematical content At the same time, the problems of information deconstruction and reconstruction of knowledge are promoted to improve the process of problem solving and to expand the result of problem solving. Mathematical learning is inseparable from the problem-solving, in the face of the same mathematical problem, the solution may be diverse ways, in the process of exploration of each solver gains are different. A rigorous argument solves the aesthetic enjoyment when solving the mathematical problem, but sometimes the beautiful process of solving often hides the process that the problem-writer fiery thinking about the problem, and the problem-solver