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在数学试题的解答过程中,按逻辑思维的要求,应对命题作充要条件的等价变形或推理,当一些命题作等价变形较繁时,我们可以避繁就简,作命题的必要条件变形或推理,但为确保命题等价,我们需对非等价变形或推理这一环节加以验证。下面仅以几例来谈解题过程中“验证”这一不可缺少的环节。
In the process of answering maths questions, according to the requirements of logical thinking, the necessary and sufficient conditions of equivalent deformation or inference should be dealt with. When some of the propositions are equivalently deformed and complicated, we can avoid unnecessary problems and make necessary propositions Deformation or reasoning, but in order to ensure propositional equivalence, we need to verify the non-equivalent deformation or reasoning. Here are just a few examples to solve the problem of “verification” is an indispensable link.