1) first analyze the meaning of the question: reading and reviewing the question. If there is a chart, mark the given known conditions at the same time. Using charts can deepen intuition.

geography

Understanding and feeling.

2) Associating related theorems and usages according to given conditions. For example, if we know the midline of a line segment, we can think that a point on the midline of the line segment is equal to the distance between the two ends of the line segment, and if we know the bisector of an angle, we can think of the property theorem of the bisector of an angle or use it to construct a congruent triangles.

3) It is always the basic method to look at the conclusion and associate it with the conclusion. For example, to prove that line segments are equal, the solution is as follows: If two line segments are in the same triangle, it can be proved that the included angles of the two line segments are equal first. If two line segments are not in the same triangle, it can be proved by triangle congruence.

Doing a good job of proof is by no means accomplished overnight, and it needs a gradual process. In a word, we should start from our usual study and be familiar with the commonly used theorems and axioms, the properties and methods related to known conditions, and some commonly used auxiliary lines. The conclusion can be obtained by combining the known conditions, and the ways and methods to get this conclusion can be inferred through the conclusion. If you want to make a good proof, you must start from the usual bits and pieces, cultivate good thinking habits, and constantly reflect and summarize. With the deepening of problem-solving experience, the ability to solve proof problems will be gradually improved.