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The trick of mathematical proof
three kinds

One: Starting from the conditions. Step by step get the answer from the known conditions

Two: Proceed from the conclusion. Infer conditions from the conclusion, and then deduce them when proving.

Three: Start at the same time. It is not easy to deduce conclusions from conditions, nor is it easy to deduce conditions from conclusions. If we start at the same time and have the same place in the middle, we can get the solution.