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研究各种类型的题及其特殊解题方法,自然是非常重要的。因为它是初等数学的重要组成部分,其中孕育了中等数学的大量技巧,而且,特殊解法中也都体现着一般解题方法的因素。但是,特殊的题型题类是无穷无尽的,特殊的解题方法也层出不穷。如果在研究和教学特殊题型和解题方法的同时,不注意一般解题方法的教学和研究,不设法教给学生“以不变应万变”的本领,那么势必使师生陷入于题海之中。赌题押题的失策就在于忽视了题目的一般性,忽视了在教授特殊解题方法的同时进行一般解题方法的传授。
It is naturally very important to study various types of questions and their special methods for solving problems. Because it is an important part of elementary mathematics, it has given birth to a large number of skills in secondary mathematics, and the special solution method also embodies the factors of the general problem-solving method. However, special types of questions are endless, and special methods for solving problems are also emerging. If we do not pay attention to the teaching and research of the general problem-solving method while studying and teaching the specific question types and problem-solving methods, we should not try to teach the students the ability to “do everything and never change,” which will inevitably lead teachers and students to problems. In the sea. The mistake of gambling title quiz lies in ignoring the generality of the topic and ignoring the teaching of the general problem-solving method while teaching the special problem-solving method.