在同一数学系统下,把所讨论的问题中的有关命题或对象的表现形式做可逆的逻辑改变叫等价变换。 具体途径可以对命题的局部进行等价转化,也可以对命题的叙述(条件、结论)方式进行转化,以及变换命题的所有的领域。它是中学里一种重要的教学方法,即把数学中待解决或未解决的问题,通过某种转化过程,归结到某个(或某些)已经解决或者比较容易解决的问题,最终可得原问题解的方法。 利用等价变换解决问题的思维结构框图为: In the same mathematics system, reverses the logical change of the propositions or object expressions in the question under discussion to the equivalence transformation. Specific ways can be equivalent to the local translation of the proposition, but also can be the proposition of the narrative (conditions, conclusions) way to transform, as well as transform the proposition of all areas. It is an important teaching method in secondary schools, that is, to solve some or some of the problems that have been solved or are relatively easy to be solved through some transformation process and finally obtain The original solution to the problem. Use the equivalent transformation to solve the problem of thinking structure diagram is: