Take this year's multiple-choice physics topic as an example. The college entrance examination instructions say that stress analysis questions should be tested, but they do not specify what methods will be used, such as dynamic triangle method, dynamic circle method, orthogonal decomposition method, function analysis method and even other special methods. However, the exam description does not specify which method is required by the exam outline, only that stress analysis is a must for the college entrance examination. The specific method depends on the mood of the proposer. Therefore, on the basis of firmly mastering the most common problem-solving methods and skills, we must appropriately expand the knowledge points and problem-solving methods and skills to cope with the uncertainty of the college entrance examination.
Therefore, it also expands many knowledge points and problem-solving methods and skills that are not common or even available in other teaching AIDS. For example, the parameter separation of Roberta's rule in mathematics, the inequality proved by Lagrange's mean value theorem, Taylor's expansion and Taylor's inequality, the conclusion, proof and application of special geometric properties of elliptic parabola hyperbola, and the application of focus chord's focal radius focal triangle in analytic geometry. There are also physical self-locking conditions, friction angle, dynamic circle method and sine theorem analytical method to determine the change of force, the derivation and application of the second third cosmic velocity, the encounter problem of satellite launch orbit change and pursuit, the typical case of mechanical energy non-conservation, the symmetrical digging and filling method to calculate field strength, the dynamic circle method to deal with magnetic field problems, Newton's fourth law (momentum) method to deal with electromagnetic induction problems, and so on.
Of course, in addition to the necessary expansion of various subjects, it is also essential to summarize the most basic and common problem-solving methods and skills. For example, in every chapter and lesson, we will comprehensively summarize the problem-solving methods and skills we will encounter here. After each topic, there is an overall summary of the methods and skills of solving problems in the college entrance examination. For example, the induction of inequality proof methods in math notes, the induction of summation formula derivation method of general formula of series, the induction of the solution method of combining probability of classical probability geometry with probability distribution table, which method of geometric normal vector in different situations is better in solid geometry problems, how to forcibly establish coordinate system for solid geometry problems that are difficult to establish spatial rectangular coordinate system, how to make the proposition that students want to use geometric method popular with vector method and so on. In physics notes, besides the methods and skills of solving problems in each lesson and chapter, the problems are summarized in detail according to the physical model, such as slider problem, conveyor belt problem, bipolar cutting problem, minimum magnetic field area problem, capacitor charging and discharging and grounding problem, circuit diagrams of several electrical experiments and experimental innovation of variant error analysis. To learn math and physics well, it is necessary to sum up different types of questions and firmly master various problem-solving methods and skills. In the notes, we sorted out the common and uncommon problem-solving methods and skills. Examples are selected from the real college entrance examination questions all over the country in recent years. It is suggested that senior one and senior two learn new courses and review in senior three.
The second leg is to brush the questions. Reading notes and reference books on various problem-solving methods and skills is the foundation. Secondly, you must do a lot of problems. Learning must overcome two words: lazy! Some students asked me, how many questions did your senior high school students do in the first round of review? It's really scary to say it. I don't know how I spent that time until now. Each of us has seven or eight exercise books for reviewing a subject, and there are many questions, such as "53", "College Entrance Examination Database" (about 700 pages in a subject), "Good Questions in College Entrance Examination" (about 500 pages in a subject), "600 points and 700 points", "One Book", "BBK" and "Wang Houxiong", and so on, as well as printed by teachers and online. Of course, we don't do all the questions in those materials, but we also do them selectively. We will do similar problems that we haven't seen or done for a long time. Some students don't know what to do after finishing the homework left by the teacher every day. The best way to read notes and reference books is to brush the questions, and review when the knowledge gets stuck. For students who don't have at least two exercise books of their own in mathematics and physics, there is definitely a problem. It is also problematic for them to learn new courses in grade one and grade two. Students in our school seldom buy synchronous exercise books from the first year of high school. You can't do too many questions in a round of review, the more the better.
The third step is error correction. English, mathematics, physics and health must have their own wrong textbooks. Please reply to the "error correction book" on the official account of WeChat, and WeChat will automatically reply to the original article on how to make the error correction book in the past. The topics in "Classic and Error-prone Good Questions in Senior High School" compiled by us come from the voluminous exercise books, wrong questions, typical questions, good questions and new good questions in simulation questions all over the country in recent years. Just because I have done a lot of problems, I have the most experience in doing them. High school classics are easy to make mistakes and good questions are difficult and comprehensive, which is suitable for the first round of review exercises in senior two and senior three.