On the other hand, learning high school mathematics well means learning to take exams, which are inseparable from doing problems, but you can't get high marks as long as you do them. The number and types of high school mathematics questions are huge, but these questions are not equally important. This requires candidates to learn which questions to choose, and the second is to master those questions first, and then master those questions. Grasping these two directions is the first thing to learn mathematics well.

1. What are the types of high school math problems?

First of all, the number of high school mathematics test questions is very large, which I believe everyone knows. We can say that "wildfire never completely devoured them, and they grew taller in the spring breeze". No textbook or software dares to say that all the questions in high school mathematics can be included. Every year in the college entrance examination, all kinds of papers in the country are concentrated together, so I'm afraid I can't finish writing them in senior three, let alone other materials. Therefore, if you want to finish the test questions in senior three, not to mention three years and six years in senior three, I'm afraid it's not enough, so brush the questions.

Faced with so many test questions, Fan Ruijun thinks it can be divided into three categories:

The first category: short answers that directly examine the concept of formula in textbooks.

The second category: indirectly investigate the topic of using conceptual formulas in textbooks and the topic of basic thinking methods from different levels. There are many test questions, which I call basic questions.

The third category: in-depth investigation and application of high-level topics

2. What types of topics should be given priority in high school mathematics?

First of all, there is no doubt that we should focus on basic topics and basic methods, which all parents of high school students understand, but there is no obvious boundary between those basic topics, so many students are blind in learning to solve problems, so how should we grasp the basic topics?

Fan Ruijun believes that we should learn those contents and master those core issues, not by feeling, but by the outline and proposition of the college entrance examination. According to the situation of the college entrance examination, I summarized the basic math questions in senior high school into nearly 300 kinds of questions according to the test sites of the college entrance examination, and explained them through videos to help the candidates in Grade One, Grade Two and the first round of the college entrance examination grasp the key points and the usual problem-solving direction, strengthen the mastery of the basic methods of the basic questions and improve the pertinence of learning. The following are the basic questions of high school mathematics for your reference.

Detailed example

The related video explanation can be learned in the classroom in Fan Ruijun.

Third, high school mathematics textbook learning strategies

Different from junior high school textbooks, senior high school mathematics textbooks come directly from textbooks, and some key questions in the exam only provide a direction. Textbook topics are relatively simple, and many exams involve topics that are not directly derived from textbooks, but are based on the expansion of textbook questions and methods. Therefore, many students will feel that textbooks are divorced from solving problems in exams, and they still can't solve textbook problems after learning them.

Therefore, Fan Ruijun believes that learning high school mathematics textbooks is not simply memorizing the concepts of textbooks, but mastering the methods of expansion and induction. Only by mastering the examples of conceptual exercises in the textbook and the development direction of various practice materials outside the textbook can we really learn the textbook and grasp the source of the topic.

Fourth, high school mathematics learning problem-solving strategies

Fan Ruijun believes that learning high school mathematics well requires four aspects and five levels of work:

Textbook level:

Summarize the methods of refining teaching materials.

Combing the knowledge system

To master the concept of textbooks and how to practice from different angles and levels, we can refer to Fan Ruijun's classroom textbook learning methods and thinking strategies.

Breakthrough of basic problems:

Mastering the types and basic methods of basic questions, especially for students below 80 points, is the main direction of learning. Please refer to Fan Ruijun's explanation of 300 basic questions in class.

Breakthrough of difficult problems:

The main reason why the problem is difficult is that it is comprehensive, involves many knowledge points and has high computing power. Problem-solving information is not directly given and needs to be mined. Therefore, it is difficult to break through by simply relying on inductive questions, and it is necessary to master some special processing methods and thinking methods.

Thinking method of examining questions:

The thinking method of examining questions can be said to be the core of solving problems. Fan Ruijun believes that the examination of questions is to extract text information, formula information, graphics and digital information from the questions, while thinking is to match the extracted information with the methods stored in the brain. If the matching is successful, the problem can be solved smoothly, and the core of matching is the systematization and reticulation of knowledge stored in the brain.

Learning method website

Baidu Fan Ruijun classroom