The classic nine geometry models that are commonly tested in junior high school mathematics cover the entire junior high school. It is recommended that the collection of geometry models is an important part of the learning process of junior high school mathematics. For many stude

Nine classic geometry models that are frequently tested in junior high school mathematics, covering the entire junior high school. It is recommended to collect and study

Geometry is an important part of the learning process of junior high school mathematics. For many students, learning is difficult. Mainly because of the abstraction and complexity of geometry learning, students are daunted by it. In fact, during the learning process, in addition to having a full understanding of basic knowledge and content, if you can have a certain and sufficient understanding of the geometry models in mathematics. Understand, so that students can quickly understand. The essence of the subject of geometry and the improvement of students' efficiency in solving problems can not only improve their thinking, but also quickly associate them with the content that needs to be proved or solved to quickly solve problems.

So in the learning process of mathematical geometry, at what stage of learning do we need to start with mathematical geometric models? If the foundation is too weak, is it not suitable for learning mathematical models? The above two questions are about the geometry part of junior high school mathematics that everyone is studying. The most common doubts, then Teacher Tang will answer these two questions to let everyone fully understand the importance of mathematical models in mathematics learning, and at what stage learning mathematical models is most helpful for learning.

First of all, we all know that mathematical models are summarized and summarized on the basis of mathematical geometry knowledge. The set form has higher basic requirements for related knowledge. That is to say, if you do not have a firm grasp of the basic content of this piece of geometric knowledge, then the ability and practicality of using these geometric models will not be very strong. After learning, If there is no use for it, then such learning will only waste too much time for everyone, have no practical effect, and will not be of much benefit in improving grades, but it will be very helpful for improving one's mathematical thinking.

Therefore, it is recommended that when students learn the mathematical models corresponding to relevant knowledge, they should have a firm grasp of the basic knowledge of this part of geometric content, so that they can be combined with the model when learning the model. Only in this way can one's mathematical thinking be better expanded. In other words, there are very good geometric models, but the basic knowledge is relatively weak, or even the understanding is not thorough. It cannot be used freely in the specific process of solving questions or analyzing question types, and there is even no room for its operation. On the contrary, the gain outweighs the loss.

Secondly, for each model, we must not only understand its applicable conditions and conclusions, but also truly understand what the form of this model is, and what situations and question types are suitable for this model? In addition, what are the ways in which this model is presented in different situations? Therefore, after understanding each model, you must find the corresponding question type. Improve its application ability, that is, everyone can correspond to the corresponding model in the process of analyzing the question after seeing the question type. If you cannot find this step, then the effect of the model will not be reflected.

Third, these models must be fully understood during the learning process. In other words, it must be mastered proficiently. This is one of the effective ways to improve proficiency during the next stage of reminder practice. When we find that a certain model is suitable for a problem, we cannot directly use theory to prove or solve it, but use the idea of ​​​​this model to quickly solve the process of proving and overturning to reach the final conclusion. This is what everyone is using These models are one of the things you must understand. Moreover, each model must be understood and mastered, and different problem-solving solutions must be proposed corresponding to different question types. This is the ultimate goal of being able to master the model proficiently.

Fourth, there are many mathematical models.Its application techniques and identification calculations are commonly used and commonly tested in many finale questions or the last question of big questions. Therefore, after we master the ins and outs of this model, we must find the corresponding question types to understand it. , how to use the models in these questions? What are its entry points and combined knowledge points? Keep replenishing. Only in this way can the application and adaptability of the model be better.

If you only understand the specific content of the model and reduce its adaptability exercises, then you will feel that these models are not very useful during the learning process, and even in the problem-solving process, the direction of your ideas is not consistent with these models. Combine. It will also make students suspect that what they are learning has not been better confirmed, which will greatly reduce their enthusiasm for learning. This is the most embarrassing thing that students encounter in the process of learning mathematical models. It takes a lot of time and ends up being less practical.

Finally, the models corresponding to the knowledge points at different stages require students at different stages to learn in stages, rather than learning in general, because the model learned at each stage will only have a higher chance of being used if it matches the different stages. In this way, the efficiency of the model will be maximized through continuous practice, and students will be able to apply the learning content, thereby increasing everyone's enthusiasm for learning. For example, if you study the shortest path problem with and of the general drinking horse problem, you will not only gain a solid grasp of the content in the textbook, but also make the connection between yourself and the model just right, and your thinking can be further improved. In daily practice Among them, this geometric thinking can be expanded.

Written at the end, the nine geometric models of junior high school mathematics are some model forms summarized based on the basic knowledge content of the textbook. After everyone has a full understanding of the model, they need to combine the corresponding knowledge points and solve the problem in the process. It can improve everyone's effectiveness in forming problem-solving ideas, and is one of the important ways to improve geometric ability in the process of improving geometry.

Students at different stages of junior high school can learn some models in a targeted manner, instead of waiting for the high school entrance examination preparation stage to study uniformly, when the learning pressure is greater. The training time for each model is also relatively tight, and the application capabilities of the model are improved in a hurry. It is difficult to be comprehensive, so gradually learning mathematical models can provide great help in the formation of one's own mathematical thinking.