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解一道数学综合题,往往要用到好几种数学公式和法则,而又不是把这些公式、法则堆积起来就能解决问题。在进行综合练习时,最好确定以某个公式或法则为主,而不是缺乏目的性的为综合而综合。通过练习要引导学生归纳方法,找出规律:如何使用这个公式、法则以及这个公式、法则在哪些情况下使用,这两者有联系但有区别。下面以配方法为例,看一下如何用它来解题:
Solving a comprehensive mathematics problem often requires the use of several mathematical formulas and rules, and it is not the accumulation of these formulas and rules that will solve problems. When conducting a comprehensive exercise, it is best to use a certain formula or rule as the basis, rather than a lack of purpose as a comprehensive synthesis. Through exercises to guide students to induction methods, find out the law: how to use the formula, the law, and the conditions under which the formula and rule are used. The two are related but different. Here’s an example of how to use it to see how to use it to solve problems: