Think positively. That is to say, from the conclusion of conditional reasoning, this is the normal logic of our general problem solving. For general simple problems, it is easy for us to do so, so I won't go into details here.

Expand data reverse thinking. As the name implies, it is to think in the opposite direction. When you face a problem and think with positive thinking, you can consider starting with the conclusion: what premise is needed to prove this conclusion, how to get this premise through known conditions, and think from different angles and directions.

Counterevidence thinking. The reduction to absurdity is a proof method in the opposite direction. When the topic is not easy or can't be proved from the front, reduction to absurdity is needed. First, put forward the counter-proposition, take the negative conclusion of the original proposition as the conclusion under the premise of unchanged conditions, and then make reasoning according to the reasoning rules to prove the falsity of the counter-proposition, thus proving the truth of the original proposition.

Solving Methods of Mathematical Geometry Proof in Junior Middle School

1, carefully examine the questions. When reading geometric proof questions, we should accurately find out the known conditions and the answers to be proved, and mark important information in the diagram to make the whole problem clear at a glance.

2. Add auxiliary lines. Some geometric proof problems cannot establish the connection between known and verified from known conditions and figures. At this time, we can consider adding appropriate auxiliary lines to simplify complex problems and help us solve them.

3. Write the proof process. Some students are always lazy in practice and don't write the proof process, which leads to continuous loss of points in the exam. The process of writing proof is a process of logical reasoning, so it must be rigorous, especially "⊙" and "∴". "