(1) According to the actual situation, observe the characteristics of each quantity and its changing law.

(2) from this to that, reasonable association, bold speculation.

(3) Be good at analogy and look for similarities or similarities from different things;

(4) Summarize the law, draw a conclusion and verify whether the conclusion is correct or not;

(5) In the process of exploring the law, we should be good at changing the way of thinking and get twice the result with half the effort.

Skills platform:

Exploring the law is a kind of thinking activity, and the leap of thinking from expert to semi-expert requires certain inductive and comprehensive ability. When there are multiple sets of known data, it is necessary to observe carefully and compare repeatedly to find out the law accurately. The mathematical methods needed are: classified discussion, transformation and induction.

(1) Through a series of exploration activities such as observation, analysis, synthesis, induction, generalization, reasoning, judgment, etc., the characteristic of answering questions about exploring regularity is that the conclusions or conditions of the questions are not directly given, and the necessary conclusions and conditions need to be determined step by step.

(2) The key to solving this kind of questions is to carefully examine the questions, master the rules, reasonably speculate, and carefully verify, so as to draw the correct conclusion of the questions.

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