Some commonly used ideas in high school physics and mathematics

Mathematics is all kinds of deformations, and physics is all about writing formulas.

1. Function thinking: refers to using the concept and properties of functions to analyze, transform and solve problems;

2. Combination of numbers and shapes: The use of "combination of numbers and shapes" can make the problems to be studied difficult and simple;

3. Classification and integration: When a problem may cause different results due to the different circumstances of a certain quantity or graph, it is necessary to classify and discuss the various situations of this quantity or graph;

4. Equation thinking: when a problem may be related to a certain equation, the equation can be constructed and the properties of the equation can be studied to solve the problem;

5. Overall thinking: starting from the overall nature of the problem, highlight the analysis and transformation of the overall structure of the problem, discover the overall structural characteristics of the problem, be good at using the "integrated" vision, regard certain formulas or graphics as a whole, grasp the relationship between them, and carry out purposeful and conscious reed body processing;

6. Transformation of ideas: It is to transform unknown, unfamiliar, and complex problems into known, familiar, and simple problems through deductive induction.

Numbers and shapes combine ideas.

The idea of combining numbers and shapes occupies a very important position in the college entrance examination, and its "number" and "shape" are combined and penetrate each other, combining the accurate depiction of algebraic forms with the intuitive description of geometric figures, so that algebraic problems and geometric problems are transformed into each other, and abstract thinking and image thinking are organically combined. The application of the idea of combining numbers and shapes is to fully examine the internal relationship between the conditions and conclusions of mathematical problems, analyze their algebraic significance and reveal their geometric significance, and skillfully combine the quantitative relationship and spatial form to find the solution ideas and solve the problems. To apply this mathematical idea, it is necessary to be proficient in the geometric meaning of some concepts and operations, as well as the algebraic characteristics of common curves.

Applying the idea of combining numbers and shapes, we should pay attention to the transformation of the following numbers and shapes: (1) the operation of sets and the Venn diagram; (2) functions and their images; (3) the function characteristics and function images of the general terms and summation formulas of the series; (4) Equations (mostly binary equations) and the curves of equations.

The commonly used forms to help numbers are: with the help of number lines; With the help of function images; With the help of unit circles; With the help of the structural features of the number formula; With the help of analytic geometry methods.

The commonly used numerical aids are: with the help of the quantitative relationship followed by the geometric trajectory; With the help of the combination of the results of the operation and the geometric theorem.

Commonly used mathematical methods: matching method, commutation method, undetermined coefficient method, mathematical induction method, parameter method, elimination method, etc.;

Mathematical and logical methods: analytical, synthetic, counter-proof, inductive, deductive, etc.;

Mathematical Thinking Methods: Observation and Analysis, Generalization and Abstraction, Analysis and Synthesis, Special and General, Analogy, Induction and Deduction, etc.;

Common mathematical ideas: functions and equations, number and form combination, classification and discussion, transformation (naturalization), etc.

How do you learn math in high school? Is math hard to learn in high school?

Mathematics is a subject, both for liberal arts and science students. It is more important because it is one of the three main courses, and it accounts for a relatively large number of points. If you don't do well in mathematics, you may affect the study of physical chemistry, because those subjects are all about calculations.

However, these calculations are also in mathematics. How do you learn math in high school? What are some good ways to do this?

High School Mathematics. Know the reasons why your child is not good at math:

1. Don't let children learn passively, there are still many students who want to be in junior high school after going to high school, so they follow the teacher's train of thought. I don't have some derivatives, I didn't have a learning method before, and I won't look for it after class. If you practice with practice questions, you just wait for class, and you don't know what the teacher is doing in front of you to write about the content of the teacher's class, and just thinking about taking notes in class is not effective.

2. When the teacher is in class, he should express this knowledge clearly and analyze the key points and difficulties. However, there are still many students who do not pay attention in class. I don't know about many pharmacies, but I take a lot of notes, and there are many problems that I can't understand, and I won't summarize them after class.

Just hurry up and do your homework. When they write their homework, they just mess around and remind them that they don't understand the concepts and rules. Doing questions can only be done by chance.

3. Don't pay attention to the foundation, many children don't have a solid foundation, but they think they have learned well and want to move on to the next lesson, and the premise is that you have to understand all the content of the previous lesson. The evolution of the next question is underway. Find the right way to learn.

For how to learn high school mathematics, it is still important to find a suitable way to learn. The first thing we need to do is to cultivate a good study habit, good study habits include making a study plan, before class, study by yourself, listen carefully to the class when you are in class, and actually consolidate the knowledge engraved after class, and do exercises carefully after class.

At this stage of high school, children say that they are neither small nor big, and at this age, children are very impatient no matter what they do. For this situation, you should not worry. We just need to communicate with the child more and find out the reason why the child is not learning well.

The teacher asks the children to work on the blackboard.

Mathematics is responsible for developing children's arithmetic skills and children's ability to apply knowledge. How to learn math in high school? It still depends on the student's understanding of mathematics.

Students should have their own learning methods, and you should not only grasp the content of the teacher's lesson, but also consolidate and deepen it in time after the class.

The idea of combining numbers and shapes, the idea of equations, the idea of commutation, and the idea of functions, the college entrance examination mainly examines these four.