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合情推理是根据已有的事实、正确的结论、实验和实践的结果,以及个人的经验和直觉等推测某些结论的推理过程.归纳推理和类比推理都是数学活动中常用的合情推理.归纳推理是根据个别事实,推演出一般的结论的推理,简称归纳法.归纳推理的思维过程大致是先实验、观察,再概括、推广,最后猜测一般性的结论.类比推理是根据两个(或两类)对象之间在某些方面的相似或相同,推演出它们在其他方面也相似或相同的推理,简称类比法.类比推理的思维过程大致是先观察、比较,再联想、类推,最后猜测新的结论.
Reasoning reasoning is based on existing facts, the correct conclusion, the results of experiments and practices, as well as personal experience and intuition speculated that some of the conclusions of the reasoning process. Inductive reasoning and analogical reasoning are commonly used in mathematics reasoning reasoning Inductive reasoning is based on individual facts, the deduction of the general conclusion of reasoning, referred to as induction. Inductive reasoning thinking process is roughly the first experiment, observation, and then generalized, generalized, and finally guess the general conclusion analogical reasoning is based on two (Or two types of) objects in some respects similar or the same, deduced that they are otherwise similar or the same reasoning, referred to as analogy. The process of thinking in analogical reasoning is roughly the first observation, comparison, re-association, analogy , Finally guessing the new conclusion.