High school mathematics set learning method 1 1, understanding special concept elements.
A set is determined by an element. The representation, classification and operation of sets are also characterized by elements. So although there are many concepts and relationships in the set, as long as we grasp the core concept of element, the set problem will be solved.
2. Grasp the special nature of mutual differences.
When solving the problem of set elements, we must pay attention to the fact that the elements in the set should be different from each other to avoid generating additional roots.
3, pay attention to the special set of empty sets
An empty set is a collection without any elements. We stipulate that an empty set is a subset of any set and a proper subset of any non-empty set. Therefore, when it comes to the relationship between sets, we should pay special attention to empty sets.
4. Use special tools to draw Wayne diagram and number axis.
The representation methods of sets can be divided into enumeration method, description method and graphic method. Enumeration generally represents a finite set, and description generally represents an infinite set, which is used to write the final result. In the process of operation, the number axis is generally used to represent the set of continuous elements, and the Wayne diagram is used to represent the set of discrete elements. Graphic language can help us find the answer quickly and intuitively, and improve the speed of solving problems.
High school mathematics set learning method 2 1. The first level is to study hard.
Talking about learning? Head-hanging beam, awl thorn strand? ,? Push, push, push again? . Students at this level find learning boring. For them, learning is a forced behavior, and they can't appreciate the fun of learning. In the long run, it will inevitably produce fear of learning and breed weariness of learning. As a result, learning has become a chore for them.
Second, the second layer is studious.
So-called? People who know are not as good as those who know? Students who reach this level, their interest in learning plays an important role in promoting their study. Hungry for learning, often to the point of forgetting to eat and sleep. They don't need to be forced by others in their studies, and their conscious attitude can often make them get good grades, which in turn makes them more interested in learning and forms a virtuous circle in their studies.
Third, the third layer is learning.
Learning itself is also a science, and there are scientific methods and laws to follow. If you learn correctly, your learning efficiency will be high, your learning will be easy, your thinking will become flexible and fluent, and you can control your knowledge well. Really become the master of knowledge.
How to get high marks in the collection? First of all, remember some commonly used data sets and be familiar with the meaning of relevant symbols. This is the basic requirement of learning to collect. Next, I recommend the best solution to the collection problem. Magic weapon? Catch it? Elements? Find out what elements a set is made of. How come? The key is to concretize and visualize abstract problems, that is, to express the set of description and expression by enumeration, or to express the abstract set by graph. In short, in a word, it is helpful to improve the ability to analyze and solve problems by figuring out which elements are made up of a set.
When encountering the problem of set, students should first find out what the elements in the set are. After this is clear, the next step is to solve the problem. In my question, there are two common ideas:
The first big idea? Discuss ideas by category? Many set problems, especially those with parameters, need the mathematical idea of classified discussion, which will help solve the problems. To express a set by enumeration, we need to express the elements of the set one by one according to the general characteristics of the set (certainty, mutual difference and disorder) and the characteristics of the set itself, and we can't repeat, omit or be out of order.
The second big idea? The idea of combining numbers and shapes? In order to solve the set problem of evaluation domain, it is usually necessary to pay attention to the combination of numbers and shapes, so that numbers can be shaped and complement each other. However, in the process of solving problems, we should pay attention to the accuracy of the endpoint values.