1. Drawing: For geometric problems, drawing the figure of the problem can help us better understand the problem. By observing the graph, we can find some rules and characteristics, and then find the solution to the problem.
2. Use known conditions: When solving geometric problems, we need to make full use of known conditions. These conditions may be given in the title, or we may find them in the process of drawing. By analyzing the known conditions, we can find clues to solve the problem.
3. Using geometric theorems and formulas: There are many theorems and formulas in geometry, such as Pythagorean theorem and the properties of similar triangles. When solving geometric problems, we can use these theorems and formulas to draw conclusions.
4. Classification discussion: Some geometric problems may involve a variety of situations, so we can discuss the problems by classification. By considering each case separately, we can find the general solution and the special solution of the problem.
5. Construct auxiliary lines: When solving geometric problems, you can simplify the problem by constructing auxiliary lines. Auxiliary lines can be parallel lines, vertical lines, angular bisectors, etc. By constructing auxiliary lines, complex geometric problems can be transformed into simple geometric problems.
6. Reverse thinking: Sometimes, we can try to think from the opposite side of the problem. For example, to prove that two triangles are congruent, we can first assume that they are not congruent, and then draw a contradiction through reasoning, thus proving that they are congruent.
7. Induction and deduction: When solving geometric problems, we can use induction and deduction for reasoning. Induction is a reasoning method from special to general, and deduction is a reasoning method from general to special. By using these two methods, we can find the solution to the problem.
8. Example verification: When solving geometric problems, you can verify whether your solution is correct through examples. Through examples, we can find out whether our solution meets the conditions and requirements of the topic.
In short, solving mathematical geometry problems requires flexible use of various methods and skills. Through more practice, sum up experience and improve the ability to solve geometric problems.