What should I do if mathematical geometry is not good, how to learn mathematical geometry well?

It is best to prepare a notebook to copy the wrong questions, classic questions, and complex questions on it for easy review. If you don't want to copy it, mark it in the exercise book.

Of course, the prerequisite is that the basic knowledge must be understood.

Be sure to do it yourself, don't plagiarize and think more when doing questions, don't ask others at every turn, think more first, and really won't ask for advice again.

Some difficult questions, copy them down and look at them when you review them at the end of the semester.

When doing the problem, the known conditions are gently marked on the diagram with a pencil, and after the question is understood, you can directly look at the diagram, some questions need to be reversed, you should start from the problem, find out the conditions needed for the problem, and then use the known conditions to speculate, and even when you can't guess, draw an auxiliary line that can prove the problem.

1) Three language representations of the theorem: literal language, graphic language, and symbolic language.

2) Master basic graphics.

3) Look at the sample questions – and try to find the basic figures from the graphs of the questions and write the basic conclusions independently.

4) Practice – Remember: practice makes perfect!

Learn. Memorize the theorems, the formulas.

Refer to your classmates', let yourself understand the process of solving the problem, and then do the same problem yourself once, what you understand does not mean that you will do it, so this is very important.

Every time you do a problem, draw a picture, combine the numbers and pictures, and take it slowly.

I'm talking about not looking at the picture, just looking at the title and drawing it yourself.

Improve spatial thinking and logical thinking skills, and imagine more.

The first thing is to learn the concept well. First, clarify the three aspects of the concept: definition – the judgment of the concept; Graphics – a visual depiction of a definition; Expression – A reflection of the properties that define the essence.

Pay attention to the connections and differences between concepts, and memorize axioms, theorems, laws, properties, ...... on the basis of understanding

The second is to learn the language of geometry well. Geometric language is divided into written language and symbolic language, and geometric language is always associated with graphics.

Third, we need to think intuitively. That is, according to the graphics in the book, use our hands and brains to make some graphics with cardboard, bamboo chips, etc., and observe and analyze them in detail, which can not only help us deepen our understanding of the theorems and properties of the book, carry out intuitive thinking, but also gradually cultivate observation.

Fourth, be imaginative. Some problems require both graphical and abstract thinking.

For example, "points" in geometry have no size, only position. There is a size between the real-life point and the actual drawn point. So, the "points" in geometry only exist in the brain's mind.

The same is true of "straight lines", straight lines can extend infinitely, who can draw straight lines to Mars, and then to the Milky Way.

How about drawing into the vast universe? Straight lines also only exist in people's brains.

Fifth, we should study, summarize, and improve at the same time. Compared with other disciplines, geometry is more systematic, and it is necessary to summarize, organize, summarize and summarize the knowledge you have learned. For example, if two straight lines are parallel, what other proof methods are there besides using definition proofs?

What are the properties of two straight lines when they are parallel? In real life, where parallel lines are utilized.

As long as you observe carefully, it is not difficult to find that the edges of the classroom walls, door frames, tables, stools, glass plates, pages, matchboxes, and most of the packaging boxes are ......There are parallel lines everywhere.

Develop the habit of previewing before each class, and be good at finding problems that you don't understand during preview, and go to class with questions. Listen carefully in class, take notes, and participate in class interactions. After class, summarize the knowledge points learned, cultivate the habit of review, and deduce the theorems and axioms given in the textbook by yourself to deepen the impression.

When doing the questions, it is recommended to draw the shapes of each geometry problem by hand to form a feeling in your mind.

For the basic knowledge in the books, we must master it very thoroughly, which is the basis and basis for solving the problem, and only by mastering it proficiently can we solve more difficult problems. Follow the teacher's train of thought in class. In class, you must listen carefully to the teacher's explanation, especially the steps to solve the problem, this is the best shortcut, and then imitate it more for your own use.

Learning geometry is also necessary to think more, think about geometric structures, summarize the ideas of problems, and solve problems.

The difficulties and doubts in mathematics learning are often difficult to figure out for a while, so if you can discuss them with your teachers and classmates. It's easy to get a satisfactory answer. Actively asking questions and discussing them with classmates can sharpen your mind and enrich it.

Mathematics learning needs to take the initiative to learn, to explore, to acquire, so that knowledge can be truly acquired. In the process of studying, it is necessary to carefully study the content of the textbook, raise doubts, and trace back to the source. For each concept, formula, theorem, it is necessary to understand its ins and outs, antecedents and consequences, internal connections, as well as the mathematical ideas and methods contained in the derivation process.

In the process of study, we should be good at combining knowledge with practice and applying it to practice, only in this way can we discover the deficiencies in the study and make up for the shortcomings in the study. The time spent solving the problem should be no less than 70% of the total mathematics learning time. In the process of problem solving, it is necessary to master the basic knowledge and the steps and skills of solving the example problems, that is, to master the tools before doing it.

The exercises should be rigorously reasoned, logical, well-founded, and formatted, and the whole process of solving the problems should be well-founded step by step.

Here's how to learn math geometry well:

1. Memorize the theorems and axioms given in the textbook, and reason the theorems and axioms by yourself, so as to deepen your impression and memorize them.

2. When doing problems, try to draw the figure of each geometric topic. Doing so will help you make the most of the conditions in the question and avoid major omissions. Although this is slow and time-consuming, it helps to form a feeling when you do big problems and problems in the future, which is commonly referred to as inspiration.

3. Carefully and carefully study the example problems in the textbook, find out what problems the example problems are to explain and its solution ideas, and strive to draw inferences from one another, be more familiar with some question types, and then cultivate the way of thinking in mathematics and geometry.

4. The most important thing is to have confidence in yourself and have perseverance.