First of all, don't ignore textbooks. Find out all the teaching textbooks of senior one and senior two, and read the knowledge points, theorems, axioms and so on carefully, including the proofs in the books. I don't mean to read it, but to really get to know him. Because after all the monthly exams, mid-term exams and final exams, what you have to do is to return to the textbooks. You will find some college entrance examination questions. He skillfully transformed and extended them by using some simple definitions in the book. Therefore, when the teacher reviews at the beginning, he should not exclude it, but recall, digest, understand and master the basic knowledge in these books. Second, try to master some new theorems and laws. In senior one and senior two, the teacher may say that this formula is not required by the syllabus and there is no need to master it. This is completely correct, because all the knowledge at that time was new, and it was difficult for you to digest and master too much new knowledge. But now that you have mastered a lot of knowledge, it will be easier to master it if you combine your own ability to understand things outside the exam outline. For example, Robida's law is not taught in high school, and it is very convenient to use when answering big questions. If you master it, you will do it better, faster and more accurately than others.
Third, we should pay attention to the summary of mathematical thinking methods. For example, the idea of painting, the idea of transformation and so on. This operation is relatively easy. It is to pay attention to analysis every time you finish the question and see how he analyzes the question; How the teacher explains and classifies during the lecture; You can even ask the students around you how to do this problem, to seek more solutions to one problem and more ideas, and to see if there is a better way than you. A good method is half the battle. Mastering the correct method not only saves time and effort.
Fourth, the improvement of computing power. To be honest, I don't have this problem. However, many students around me have this problem, that is, problems that they can do clearly will definitely be miscalculated. You can deduct 10 points for big questions. It is said to be careless, but I don't think so. I think there are two reasons, one is that my knowledge is not solid, and the other is that my computing ability is too poor. Both of them are fatal. The improvement of calculation ability will increase the accuracy rate, and the problems that can be done will be done right once. At the same time, it will save a lot of time to do other problems. So you should learn to improve your computing ability from the beginning of a round of review, so that you won't regret it in the end.
2. High-efficient learning methods of senior one mathematics.
1. Let's look at the related concepts and operational properties of the topic 1, and some commonly used formulas. This formula is not only required to be mastered in junior high school, but also often used in senior high school courses.
2. Quadratic function and quadratic equation are both important and difficult points in junior high school. In high school, the content still needs to be learned, and the solution of quadratic inequality should be understood according to the image of quadratic function! When solving inequalities, we should start with solving the roots of equations. When the coefficient of the quadratic term is greater than 0, there is a formula to be written down: "Take both sides of the greater than sign and take the middle of the less than sign".
3. Factorization is more important and is often used in high schools. For example, proving monotonicity of a function often requires factorization, and solving a multivariable equation often requires factorization before finding the root of the equation.
4. Discriminant is very important, which can not only judge how many quadratic equations have, but also judge that there are more than two roots; Equal to zero 1 root; Less than zero and rootless. But also can judge the zero point of quadratic function, which will be learned in the compulsory course of People's Education Press. There are many problems in the collection that need to be used.
3. High-efficient learning methods of senior one mathematics.
In classroom teaching, it is very important to listen carefully and take notes to cultivate good listening habits. Of course, listening is the main thing. Listening can help you concentrate. You should understand and listen to the key points of the teacher. Pay attention to thinking and analyzing problems when listening, but only listening without remembering, or just remembering without listening, it is inevitable to pay attention to one thing and lose sight of another, and the classroom efficiency is low. Therefore, we should take notes appropriately and purposefully to understand the main spirit and intention of the teacher in class. Scientific notes can improve the efficiency of a 45-minute class.
Grasp the textbook to understand.
Improve math ability, of course, through the classroom. We should make full use of the classroom. The process of mathematics learning in senior one is alive, so is the object of teachers' teaching, which changes with the development of teaching process, especially when teachers pay attention to ability teaching, the teaching materials can't be reflected. Mathematical ability is formed simultaneously with the occurrence of knowledge. Whether forming a concept, mastering a law or doing an exercise, we should cultivate and improve it from different ability angles. Through the teacher's teaching in the classroom, we can understand the position of what we have learned in the textbook and the relationship with the previous knowledge. Only by mastering the teaching materials can we master the initiative in learning.
Improve the agility of thinking
If there is no certain speed in math class, it is ineffective learning. Slow learning can't train the speed of thinking, the agility of thinking and the ability of mathematics, which requires that mathematics learning must have rhythm, so that over time, the agility of thinking and the ability of mathematics will gradually improve.
Avoid legacy problems
In math class, teachers usually ask questions and perform, sometimes accompanied by discussion, so they can hear a lot of information. These questions are very valuable. For those typical problems, problems with universality must be solved in time, and the symptoms of the problems cannot be left behind or even solved. Valuable problems should be grasped in time, and the remaining problems should be supplemented in a targeted manner and pay attention to practical results.
4. High-efficient learning methods of senior one mathematics.
Developing good study habits is a stable and lasting conditioned reflex and a natural need consolidated through repeated practice. Establishing a good habit of learning mathematics will make you feel orderly and relaxed in your study. The good habits of high school mathematics should be: asking more questions, thinking hard, doing easily, summarizing again and paying attention to application. In the process of learning mathematics, students should translate the knowledge taught by teachers into their own unique language and keep it in their minds forever. In addition, we should ensure that there is a certain amount of self-study time every day, so as to broaden our knowledge and cultivate our ability to learn again.
Consolidate students' knowledge base
The process of mathematics teaching should be the process of cultivating students' thinking ability. In teaching, we should start with specific perceptual knowledge and actively promote students' thinking. In the teaching of basic knowledge of mathematics, we should strengthen the teaching of forming concepts, rules and laws, which is also an important means to cultivate students' initial logical thinking ability. However, the teaching in this area is abstract, students lack life experience and poor abstract thinking ability, which makes it difficult to learn. Therefore, in teaching, we should pay attention to the transformation from intuition to abstraction, constantly activate students' thinking process and cultivate students' interest in learning mathematics.
Cultivate students' abilities in all aspects.
Mathematical ability includes five abilities: logical reasoning ability, abstract thinking ability, calculation ability, spatial imagination ability and problem solving ability. These abilities are cultivated in different mathematics learning environments. In the usual study, we should pay attention to the development of different learning places and participate in all beneficial learning practice activities, such as math second class, math competition, intelligence competition and so on. Usually pay attention to observation, such as the ability of spatial imagination is to purify thinking through examples, abstract the entities in space in the brain, and analyze and reason in the brain. The cultivation of other abilities must be developed through learning, understanding, training and application. Especially in order to cultivate these abilities, teachers will carefully design "intelligent courses" and "intelligent questions", such as multi-media teaching such as solving one question, training classification by analogy, applying models and computers, which are all good courses to cultivate mathematical abilities. In these classes, students must devote themselves to all aspects of intelligence and finally realize the all-round development of their abilities.
5. High-efficient learning methods of senior one mathematics.
(1) Make a plan and define the learning purpose. A reasonable study plan is the internal motivation to promote our active study and overcome difficulties. The plan should be supervised by the teacher first, and then completed by yourself. There are both long-term plans and short-term arrangements. In the process of implementation, we must be strict with ourselves and temper our learning will. (2) Pre-class preparation is the basis for achieving better learning results. Preview before class can not only cultivate self-study ability, but also improve interest in learning new lessons and master the initiative in learning. Preview can't go through the motions, we should pay attention to quality, try to understand the teaching materials before class, pay attention to the teacher's ideas in class, grasp the key points, break through the difficulties and solve the problems in class as much as possible.
(3) Classroom is the key link to understand and master basic knowledge, skills and methods. Listen carefully to the key points and difficulties in class and record the contents added by the teacher, instead of writing them all down, paying attention to one and losing one.
(4) Reviewing in time is an important part of improving learning efficiency. By reading textbooks repeatedly and consulting relevant materials in multiple ways, we can strengthen our understanding and memory of the basic conceptual knowledge system, link the new knowledge we have learned with the old knowledge, analyze and compare the results, and arrange the review results in the notebook at the same time, so that the new knowledge we have learned can be changed from "understanding" to "knowing".
(5) Independent homework is a process of thinking independently, analyzing and solving problems flexibly, further deepening the understanding of new knowledge and mastering new skills. This process is also a test of our will and perseverance. Through application, we can change knowledge from "knowing" to "being familiar with".
(6) Problem-solving refers to the process of understanding the knowledge incorrectly exposed in the process of independently completing homework, or missing the answer because of thinking obstruction, so as to clarify the thinking and supplement the answer. Perseverance is needed to solve problems. Did the wrong homework again. Think over what you don't understand wrong. If you can't really solve the problem, you should consult your teachers and classmates, review and strengthen the mistakes that are easy to make, do appropriate repetitive exercises, digest what you ask your teachers and classmates into your own knowledge, and persist in changing knowledge from "familiar" to "alive" for a long time.
(7) Systematic summarization is an important link to master knowledge and develop cognitive ability comprehensively, systematically and profoundly through positive thinking. To sum up, we should, on the basis of systematic review, take teaching materials as the basis, refer to notes and materials, and reveal the internal relationship between knowledge through analysis, synthesis, analogy and generalization, so as to achieve the purpose of mastering what we have learned. Frequent multi-level summary can change knowledge from "living" to "understanding".