How to learn math well? Especially geometrically

If you are diligent in thinking, persevering, and learning with your heart, you will succeed.

Memorize more concepts and do more exercises.

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.

Here's how to learn math geometry well:

1. Memorize the theorems and axioms given in the textbook, and reason about the theorems and axioms by yourself, so as to deepen the 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 doing big questions and difficult 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.