1. Pay attention to the textbook knowledge, check for leaks and fill gaps. We have completed the first stage of reviewing basic knowledge and strengthening basic skills training. In the second stage of review, we will reflect and summarize the omissions and deficiencies in the last round of review, and we will find that some knowledge has not been mastered well and there is no idea when solving problems, so we should further classify the knowledge and deepen our memory while reviewing. We should further understand the connotation and extension of concepts, firmly grasp the derivation or proof of laws, formulas and theorems, and further strengthen the ideas and methods of solving problems; At the same time, we should find some similar topics for intensive training, fill in the blanks in a timely and targeted manner, and never give up easily until we truly understand and do it.
At this stage, it is particularly important to review textbooks, because the examples and exercises in textbooks are important components of textbooks and the main carriers of mathematical knowledge. Only by thoroughly understanding the examples and exercises in the textbook can we master the basic knowledge of mathematics and master the basic methods of mathematics comprehensively and systematically, so as to keep constant and change. Therefore, when reviewing, we should learn to examine these examples from multiple directions and angles, from which we can further clearly grasp the basic knowledge, review the thinking process, consolidate various solutions and understand the mathematical thinking method. There are various forms of review, especially to improve review efficiency.
In addition, at present, the proposition of the senior high school entrance examination is still based on basic questions, some of which are original or modified questions in the textbook, and some big questions are "higher than the textbook", but the prototype is generally an example or exercise in the textbook, which is an extension, deformation or combination of the questions in the textbook. Examples, exercises and homework in textbooks should not only be understood, but also done. At the same time, we should also pay attention to reading textbooks, researching topics, doing some things and thinking about things in textbooks. Online class of senior high school entrance examination is popular for enrollment.
2. Pay attention to classroom learning and improve efficiency. Under the guidance of teachers, through classroom teaching, students are required to master the internal relationship between knowledge points, clarify the knowledge structure and form an overall understanding. Through the systematic induction of basic knowledge and the classification of problem-solving methods, they can deepen their memory on the basis of forming knowledge structure. At the very least, they should accurately grasp the meaning of each concept, sort out the vague concepts in their usual study, master the knowledge more firmly, and let themselves know the position of each knowledge point in the whole junior high school mathematics. If you want to attend classes and take notes, you should grasp the key points of knowledge in each class, solve problems, improve learning efficiency, and timely check for leaks and fill gaps according to your own specific situation.
3. Consolidate basic knowledge and learn to think. In mathematics examination questions over the years, basic scores account for the most, plus basic scores in some intermediate and difficult questions, so scores account for a larger proportion. We must lay a solid foundation. Through systematic review, we can meet the requirements of "understanding" and "mastering" junior high school mathematics knowledge, and we can skillfully, correctly and quickly apply basic knowledge.
Some questions will create new question situations for the knowledge and methods to be examined, especially for some questions that need to be highly discriminated; Each math test with medium or above difficulty usually involves multiple knowledge points and multiple mathematical thinking methods, or skillfully designs the test questions at the intersection of knowledge. Therefore, each of our classmates should learn to think. What the teacher teaches us in class is the angle, method and strategy of thinking. We should use the methods and strategies we have learned to understand how to think correctly in the process of solving problems in the new situation.
4. Pay attention to the transfer of knowledge and learn to achieve mastery through a comprehensive study. Some examples and exercises in the textbook are not isolated, but closely related. The knowledge of other disciplines is also inextricably linked with mathematics. We should learn to discover, study and show the inner connection of these knowledge from the closest point of thinking development. This not only helps us to understand the textbook knowledge deeply, but also helps us to strengthen the knowledge focus. More importantly, it can effectively promote the construction of our own mathematical knowledge network and method system. Knowledge and ability can be transferred in a benign way, so as to achieve the effect of drawing inferences from others. By exploring the internal relationship between typical examples and exercises in textbooks, we can form a knowledge network and method system more effectively while deeply understanding the knowledge of textbooks. For example, the discriminant of the root of a quadratic equation can not only solve the problems of determining the root and finding the letter coefficient when the root is known, but also solve the factorization of the quadratic trinomial, the determination of the root of the equation group and the coordinates of the intersection of the quadratic function image and the horizontal axis.
5. Review the gradient and choose typical exercises. If the first stage is the basis of the senior high school entrance examination review, focusing on double-base training, then the second stage review is the extension and improvement of the first stage review. At this stage, the exercises should be selected with certain difficulty, but the harder the better, the harder the topic, the better. Questions should be typical and representative, and the selected questions can be completed step by step. Only in this way can we stimulate our desire to learn and make it difficult for us to solve it ourselves.
6. Pay attention to basic knowledge and problem-solving methods. Basic knowledge is the concepts, formulas, axioms and theorems involved in junior high school mathematics curriculum. Students are required to master the internal relationship between knowledge points, clarify the knowledge structure, form an overall understanding and comprehensively apply it. Every year, there will be one or two difficult comprehensive math problems in the senior high school entrance examination. The knowledge used to solve these problems is the basic knowledge that students learn and does not depend on those special and non-universal problem-solving skills. Online classroom of senior high school entrance examination is popular for enrollment.
In addition to the basic knowledge, the mathematical proposition of the senior high school entrance examination also attaches great importance to the examination of mathematical methods, such as collocation method, undetermined coefficient method, discriminant method and other operational mathematical methods. When reviewing, we should deal with the connotation of each method, and we should master the types of questions it adapts to, including the steps of solving problems.
7. Form mathematical ideas and learn to use them. The further formation and continuous cultivation of mathematical thought is very important, because it is widely used. For example, equation thought, special and general thought, combination of numbers and shapes, function thought, classified discussion thought, transformation and transformation thought, etc. To deepen our understanding of these ideas, we should do more related topics at present; Judging from the senior high school entrance examination in recent years, the final "finale question" is often related to this kind of question type. Many students only pay attention to algebraic knowledge or geometric knowledge when solving this kind of problems, and they will not skillfully convert algebraic knowledge and geometric knowledge.
8. Comprehensive application, training ability. Through the organic evolution and extension of typical examples and exercises in teaching materials, I can improve my adaptability and innovation ability in participating in inquiry. Taking the typical examples and exercises in textbooks as the training source, it is an important way to implement the new curriculum concept and strengthen the innovative teaching of mathematics. Some examples (exercises) in the textbook seem unremarkable, but it will be of great help to improve our understanding and strengthen our ability to explore, innovate and adapt to changes if we change their conditions or conclusions and use different knowledge and means to compile novel topics. So at this stage, at the same time, we should be able to link the knowledge of each chapter and apply it comprehensively, so as to draw inferences from others and learn from each other's strengths. Looking at the examination of ability in mathematics test questions of senior high school entrance examination, in addition to calculating ability, spatial imagination ability, logical thinking ability, and the ability to analyze and solve pure mathematics problems, it also strengthens reading comprehension ability, exploration and innovation ability, mathematics application ability, and the examination of students' non-intellectual factors such as emotion, will, perseverance and values, which will inevitably make the examination of ability in mathematics test questions of senior high school entrance examination enter a new stage.
9. Pay close attention to key points and practice hot spots. For many years, the contents of "equation", "function", "straight line", "triangle and proof" and "circle" in junior high school mathematics have been the key contents of the senior high school entrance examination. "Equation thought" and "function thought" run through the senior high school entrance examination paper, so we should focus on reviewing these contents. In the senior high school entrance examination questions all over the country, the number of application questions has generally increased, and application questions are not limited to "solving application questions with equations". In addition to solving application problems with equations, "application function problems", "inequality application problems" and "statistical application problems" have all become hot spots in the senior high school entrance examination. At the same time, in recent years, the application problems also pay great attention to the examination of the ability to analyze and solve practical problems, which often appears in the senior high school entrance examination papers in various provinces and cities, and it is difficult, so it is necessary to properly strengthen the training of such application problems so as to be prepared. In the usual study, many of our classmates are afraid of application problems and are unwilling to do them. Therefore, when practicing such problems, we should actively participate in the teaching process, encourage ourselves to think, explore and demonstrate, and cultivate our scientific attitude of seeking truth from facts, innovative spirit and good study habits. Openness, exploration, reading comprehension, scheme design and hands-on operation are hot topics in recent years, which are helpful to test our exploration ability, divergent thinking and innovative consciousness. Most of these questions come from textbooks, and some of them don't require high knowledge, but the questions are new, the background is complex, and the words are long and difficult to sort out, so it is necessary to train them properly in the last period so as to