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数学猜想实际上是一种数学想象,是人的思维在探索数学规律、本质时的一种策略。它是建立在已有的事实经验基础上,运用非逻辑手段而得到的一种假定,是一种合理推理。数学方法理论的倡导者G·波利亚曾说过:“在数学领域中,猜想是合理的,是值得尊重的,是负责任的态度。”数学猜想能缩短解决问题的时间;能获得数学发现的机会;能锻炼数学思维。
Mathematical conjecture is actually a kind of mathematical imagination, which is a tactic of human thinking in exploring the laws and essences of mathematics. It is based on the existing factual experience, the use of non-logical means to get a hypothesis, is a reasonable reasoning. G · Polyglia, an advocate of mathematical method theory, once said: “Guess in the field of mathematics is reasonable, it is a respectable and responsible attitude.” Mathematical conjecture can shorten the time to solve the problem; Get the chance to discover math; exercise math thinking.