There are several key points in how to solve geometry problems. First, we should have a solid foundation, and we can think of relevant knowledge points and methods after seeing the conditions of the topic. Secondly, geometry topics require students' ability to look at pictures. When analyzing the topic, we need to analyze and think about the known conditions and geometric images. Thirdly, to do geometry problems, you need to have strong analytical ability and logical thinking ability, and you can analyze and sort out the ideas and methods of solving problems from complex conditions.
Many students will fall into panic when there are many topics or complicated graphics. Two more important abilities to solve geometric problems are the ability to analyze known conditions and the ability to read drawings. The process of solving problems is the process of sorting out and analyzing known conditions. The more thorough the analysis and understanding of conditions, the smoother the process of solving problems will be.
The reason why mathematical proof can't be done first is that the proof in the textbook can deepen your understanding of the precision and accuracy of the theorem. Many people's mistakes in understanding theorems and inferences do not stem from their memory and understanding ability. But I'm not familiar with how this theorem comes from and what assumptions it has. Familiarity with the proof process of theorems and inferences is helpful to better understand the conditions, applicability and accuracy of theorems. If you are familiar with the proof of this theorem, you will be familiar with the accuracy of these properties. Therefore, we can see that deepening the understanding of theorem proving will also help to strengthen the rigor of our mathematical expression.
Second, the proof of properties and theorems itself helps to strengthen the further understanding of some mathematical concepts. The proof of some theorems is simple, but the proof of some theorems is a long list, which uses many mathematical concepts, and sometimes we may not understand them thoroughly. Through these proof processes, we can deepen our understanding and application of concepts.