First, remember theorems and properties:
When solving geometry problems, we must remember related theorems and properties, such as Pythagorean theorem, parallelogram property, triangle stability and so on. Only by deeply understanding and remembering these theorems and properties can we better use them to solve problems.
Second, learn to draw:
Geometry problems often need drawing analysis, and you should learn to draw. In the process of drawing, we should pay attention to the size, proportion and orientation of the figure in order to better analyze the problem.
Third, master the basic model:
There are many basic models of mathematical geometry in junior high school, such as midpoint, bisector of angle and K-shape. We should learn to recognize these models and master their properties and deformations in order to solve problems better.
Fourth, summarize the problem-solving methods:
There are many types of geometric problems, such as proving problems and calculating problems. We should learn to summarize the solutions to various problems, such as how to prove equal line segments, equal angles and multiple relationships, and how to find the area of shadow parts.
Fifth, do more exercises:
Learning math and geometry in junior high school requires a lot of practice. By doing more exercises, we can deepen our understanding of knowledge points and improve our problem-solving ability and thinking level.
Six, cultivate the concept of space:
Learning junior high school mathematics and geometry needs to cultivate the concept of space, including the understanding of spatial graphics, spatial position relationship, spatial transformation and so on. With a good concept of space, we can better solve geometric problems.
Methods of cultivating spatial concept and logical thinking ability
First, the method of cultivating the concept of space:
1. By observing physical objects such as cuboids, cubes, cylinders, etc. , we can better understand graphics and their properties and cultivate our spatial perception ability.
2. Drawing more pictures can help you better understand graphics and their properties and cultivate your spatial imagination. In the process of drawing, we should pay attention to the proportion, size and orientation of the figure.
3. By making the geometric model, we can better understand the figure and its properties, and cultivate the spatial thinking ability.
Second, ways to improve logical thinking ability:
1, memorizing basic concepts and theorems is the basis of improving logical thinking ability. Only by deeply understanding and remembering these concepts and theorems can we better use them to solve problems.
2. Proving questions is an effective means to train logical thinking. When doing proof questions, we should pay attention to reasoning according to strict proof steps to ensure that each step is justified.
3. There are many kinds of questions in junior high school to learn mathematics and geometry, so we should learn to summarize the problem-solving methods of all kinds of questions. By summarizing the problem-solving methods, we can better understand the essence of the problem and improve the problem-solving ability and thinking level.