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20 17-03-26 6654 people have seen it.
Geometry, as two major knowledge points in junior high school mathematics, is often called Transformers in mathematics because of its changeable graphics and methods. Having said that, Transformers are not invincible. After all, human intelligence is superior. Education experts at Xueda University said that in fact, there are certain laws and rules behind every geometry problem, and the ideas for solving each type of problem are similar. The concentrated expression of this idea is the model (where the power of Transformers lies). For geometry, we should not only resolutely implement it tactically, but also have a clear understanding of the overall study of geometry in junior high school for three years at the strategic level.
Steps/methods
1/7 Step by step reading
Those who get the model get geometry, and the establishment of the model idea is not overnight, but needs students to cultivate it in a lot of practical exercises and methods of continuous summary. The understanding and knowledge of the model can be divided into many levels. The shallowest is the basic shape. When you see similar or similar topics, you can consciously associate them with the topics you have learned before and apply them. This is the simplest model idea.
2/7
The taller ones are similar in spirit. When you see the similarity of the conditions given by some key points, key line segments or topics, you can associate with the knowledge points you have learned, gradually get the correct answers through reasoning and deduction, and remember some specific models. This is the second level.
3/7
The highest state is that there are only a few basic models in my mind. These models are like seeds. When you see a topic, it will sprout, blossom and bear fruit. With the in-depth understanding of the topic, I will continue to look for suitable flowers. Each flower has a specific model on it, and there will be branches between each model. They are not isolated from each other, but linked by other conditions. Reaching such an understanding is all-encompassing and familiar.
4/7
Our ability to control the model should not be limited to topics with obvious model characteristics. For some topics whose features are not obvious, you should be able to add auxiliary lines to mine hidden attributes in the graphics. This requires students to have a deep understanding of every basic figure, not only to know the model, but also to complete the model, and even to construct the model to solve the problem, which requires students to have a high ability to add auxiliary lines by hand.
5/7
Learning geometry well is nothing more than doing the following. To learn geometry well, we must pay attention to the following points:
1, do more questions, read more questions in the initial stage, and have a preliminary understanding of some models.
2. Summarize more and try to summarize the main auxiliary line practices and problem-solving methods of some models with the help of teachers.
3, multi-application, multi-purpose model to solve problems, do not hit the Universiade without methods, think about solutions according to graphic characteristics.
4, how perfect, keep doing problems, there will always be new knowledge added to the existing model system, and constantly expand your knowledge tree.
5. Think more. There may be more than one method for any problem, and each method involves different models. You should be able to discover the relationship between models through multiple solutions to a problem and enhance your understanding of the models.
6/7
In the long run, the investigation trend of the geometric finale of the senior high school entrance examination tends to be more and more competitive, and the focus of the investigation is the comprehensive topic with the theme of three major changes. Nowadays, the idea of three transformations is constantly infiltrating into the topic of geometry in senior two, and the skills of translation, rotation and axial symmetry will gradually become familiar to us. However, it is not enough to be familiar with them. It is necessary to master and apply the model flexibly and accurately to practical problems and improve their ability to do geometric problems.
7/7
The second day is the outbreak period of the model. Congruent triangles's model in the last semester, quadrilateral model in the next semester, and the knowledge of circle offered by many schools in the summer vacation of junior high school are all problems that students need to solve by using the model idea. These knowledge points are not only many, but also very important. It can be said that the focus of the geometry part of junior high school is all on the second day of junior high school, so it is our task to lay a good foundation, practice frequently and summarize more.