There are many kinds of mathematical induction methods, such as mathematical induction, counterexample, undetermined coefficient method, distribution method and overall generation method, but they all have a unified idea, that is, to simplify mathematical problems and make them difficult.

If the fractional equation is transformed into Zheng Shi equation, the algebraic problem is transformed into a geometric problem, and the quadrilateral problem is transformed into a triangle. The ways to realize this transformation are: reduction to absurdity, counterexample, undetermined coefficient method, distribution method, whole generation method and static and dynamic transformation idea from abstract to concrete.

I don't know if it's what you want, but I hope I can help you.