2. Analysis method (causal), considering the conclusion of the proposition, scrutinizing the conditions needed to make it established, and then continuing to scrutinize the required conditions as the conclusion to be proved, and so on, step by step, until the facts are known.
3. Analysis and synthesis method: combining analysis and synthesis. Comparatively speaking, analytical method is conducive to thinking, and comprehensive method is easy to express. Therefore, when thinking about problems in practice, we can combine them flexibly, thus shortening the distance between the topic and the conclusion and finally achieving the purpose of proof.
Extended data:
As an important problem in plane geometry, geometric proof has two basic types: one is the quantitative relationship of plane graphics; The second is about the positional relationship of plane graphics. These two kinds of problems can often be transformed into each other, for example, proving parallel relations can be transformed into proving equal angles or complementary angles.
Master the construction method of basic graphics: complex graphics are all composed of basic graphics, so be good at decomposing complex graphics into basic graphics. It is often necessary to construct basic graphics, and auxiliary lines are often added when constructing basic graphics to achieve the purpose of concentrating conditions and transforming problems.