1, based on textbooks, lay a solid foundation.
A shortcut to learning solid geometry is to learn theorem proving in textbooks, especially the proof of some key theorems. The content of the theorem is very simple, that is, the explanation of the relationship between lines, lines and surfaces, and surfaces.
However, theorem proving is generally more complicated or even abstract when beginners learn. Grasp the content of the theorem deeply, and make clear what the function of the theorem is, where it is used and how to use it.
2. Cultivate interest in learning
Do a thing, understand it, understand it, love it, love it, enjoy it. "Good" and "happy" mean willing to learn and enjoying learning, which is interest. Interest is the best teacher. Only when you are interested can you have hobbies. If you like it, you have to practice and enjoy it.
With interest, we can form the initiative and enthusiasm of learning. In mathematics learning, we turn this spontaneous perceptual pleasure into a conscious and rational "understanding" process, which will naturally become the determination to learn mathematics well and the success of mathematics learning.
Step 3 preview before class
Preview in advance, have questions and curiosity about what you have learned. Cooperate with the teacher in class to satisfy the excitement of the senses. Preview key problems in class.
Take the teacher's classroom questioning, pause, demonstration of teaching AIDS and models as appreciating music, answer the teacher's classroom questions in time, cultivate the synchronization of thinking and teachers, improve the spirit, and turn the teacher's evaluation of your questions into a driving force to spur learning.
Step 4 draw more pictures
You should be skilled enough to draw intuitive geometric figures that are common in various exams. Where are the solid lines and the dotted lines, you must be able to draw them at once. This is not a question of space, but a question of whether you are diligent or not. What is the basic drawing method of triangular pyramid, quadrangular pyramid, triangular prism, quadrangular prism and ball?
Besides, there are many students. In fact, some spaces have a good imagination and can be thought of, but if you make a mistake, you can't draw what you want at all. Then the calculation behind them naturally has a very high error rate. Remember that painting is very important.
5. Gradually improve the ability of logical argumentation.
The proof of solid geometry is irreplaceable by any branch of mathematics. Therefore, the college entrance examination over the years has three-dimensional geometry demonstration questions. When demonstrating, we must first be rigorous and accurately understand any definition, theorem and inference.
Secondly, when demonstrating problems, we should use analytical methods, that is, gradually find the sufficient conditions for the conclusion to be established, get close to what is known, and then write it in the form of comprehensive method ("deductive method"); Finally, when solving problems, we should write specifications. For example, if a plane is represented by a parallelogram ABCD, a plane AC can be formed, but the word plane cannot be omitted.