Second, remember. The record here has two meanings. The first layer means mark. When reading questions, you should mark each condition in the given chart. If the opposite sides are equal, they are represented by equilateral symbols. The second meaning is to remember that the conditions given by the topic should not only be marked, but also kept in mind, so that you can repeat it without looking at the topic.
Third, we should extend it. Difficult topics often hide some conditions, so we need to be able to extend, so the extension here needs to be accumulated at ordinary times. Usually, the basic knowledge points learned in class are firmly grasped, and some special graphics that are usually trained should also be memorized. When reviewing and writing questions, think about what conclusions can be drawn from these conditions, and then mark them next to the graph. Although some conditions may not be needed when proving, such long-term accumulation is convenient for future learning problems.
Fourth, we must analyze the comprehensive method. Analytical synthesis, that is, reverse reasoning, starts with the conclusion that the topic needs your proof. See whether the conclusion proves that the angles are equal or the sides are equal, and so on. For example, the way to prove the angle is 1. The vertex angles are equal. Isosceles triangle 6. Congruent triangles's corresponding angles are equal. 3. Complementary Angle and Complementary Angle Theorem 4. Definition of angular bisector 5. Choose one of the methods according to the meaning of the question, and then consider what conditions this method still lacks, and turn the topic into proving other conclusions. Usually, the missing conditions will appear in the conditions and topics expanded in the third step. At this time, these conditions are combined to make the proof process very orderly.