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同学们在初一《代数》18～21页学习了公式这一节,主要涉及小学已学过的公式,但也出现了像例3这样需要归纳的公式,这就提出了更高的要求。那么,公式是怎样归纳出来的呢?一般的思路是:通过观察、得出猜想、再进行归纳,即一边算一边想,发现题目中隐合的规律,然后用一个公式表示.值得注意的是归纳所得到的结论是否正确,必须经过严格的证明,才能辨明是非,限于所学知识的局限,这项工作暂不考虑,等以后学习了有关内容后去完成。
The students studied the formulas in the “Algebra” on pages 18 to 21 of the first edition. They mainly dealt with formulas that had been studied in elementary schools, but formulas that required induction like Example 3 also appeared. This put forward higher requirements. Then, how do the formulas are summarized? The general idea is: Through observation, drawing conjectures, and then summing up, that is, thinking about one side and finding out the laws of the topics, then using a formula. It is worth noting that To sum up whether the conclusions obtained are correct or not, it is necessary to go through rigorous proof in order to identify the right and wrong. It is limited to the limitations of the learned knowledge. This work is not considered for the time being, and will be completed after learning the relevant contents.