High school mathematics is mainly composed of algebra, trigonometry and geometry. Content is independent of each other, but solutions often provide each other. You'll know when you get to senior three. Required: Algebra includes: 1 set and simple logic. In fact, it is a set, a proposition and a necessary and sufficient condition. Quite simply, the college entrance examination will not single out this kind of question 2 function. First, for the description of functions, there is a mapping domain corresponding to the regular domain; Then the nature, third, monotone parity periodicity; Finally, there are exponential function and logarithmic function, which are two basic functions. We should study their characteristics and images. Triangle is actually a tool, which is very annoying. Just memorize the formula and practice it thoroughly. 4 geometry, that is, plane analytic geometry, uses coordinate method to quantitatively study plane geometry problems. Learn several definitions, and then the equations of straight lines and circles. Conic curve equation. The college entrance examination generally focuses on common functions, hyperbolic+linear series, trigonometric binomial theorem, solid geometric arrangement and combination plus probability, and other knowledge is less. It is important that if you are a senior one, you must master the basic problem-solving methods in class, and you must not forget that practicing in senior three will be very troublesome. Also, don't ignore the concept. Usually, many topics depend on the difficulty of testing concepts. But 70% of the topics can be done with basic knowledge, 20% need to combine all kinds of knowledge, and only 10% of the topics are really hard to think about. After entering high school, many students often can't adapt to mathematics learning, which in turn affects their enthusiasm for learning and even their grades plummet. There are many reasons for this. But it is mainly caused by students' ignorance of the characteristics of high school mathematics teaching content and their own learning methods. According to the characteristics of high school mathematics teaching content, this paper talks about learning methods of high school mathematics for students' reference. First, the characteristics of high school mathematics and junior high school mathematics 1 change. Mathematical language has a sudden change in abstraction, which is significantly different from junior high school. Junior high school mathematics is mainly expressed in vivid and popular language. Mathematics in senior one involves very abstract set language, logical operation language, function language, image language and so on. 2. Transition from thinking method to rational level Another reason why senior one students have difficulty in mathematics learning is that the thinking method of senior high school mathematics is very different from that of junior high school. In junior high school, many teachers have established a unified thinking mode for students to solve various problems, such as how many steps to solve the fractional equation, what to look at first and then what to look at in factorization, and so on. Therefore, junior high school students are used to this mechanical and easy-to-operate stereotype, while senior high school mathematics has undergone great changes in the form of thinking, and the abstraction of mathematical language puts forward high requirements for thinking ability. This sudden change in ability requirements has made many freshmen feel uncomfortable, leading to a decline in their grades. 3. The total amount of knowledge content has increased dramatically. Another obvious difference between high school mathematics and junior high school mathematics is that the "quantity" of knowledge content has increased greatly. Compared with junior high school, the amount of knowledge and information received per unit time has increased a lot, and the class hours for assisting exercises and digestion have decreased accordingly. 4. The independence of knowledge and the more rigorous system of junior high school knowledge have brought great convenience to our study. Because it is easy to remember and suitable for the extraction and use of knowledge. However, high school mathematics is different. It consists of several relatively independent pieces of knowledge (such as a set, propositions, inequalities, properties of functions, exponential and logarithmic functions, exponential and logarithmic equations, trigonometric ratios, trigonometric functions, series, etc.). ). Often, as soon as a knowledge point is learned, new knowledge appears immediately. Therefore, paying attention to their internal small systems and their connections has become the focus of learning. Second, how to learn high school mathematics 1 well and form a good habit of learning mathematics. 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. Good habits of learning mathematics include self-study before class, paying attention to class, reviewing in time, working independently, solving problems, systematically summarizing and studying after class. 2. To understand and master the commonly used mathematical thinking methods in time to learn high school mathematics requires us to master it from the height of mathematical thinking methods. Mathematics thoughts that should be mastered in middle school mathematics learning include: set and correspondence thoughts, classified discussion thoughts, combination of numbers and shapes, movement thoughts, transformation thoughts and transformation thoughts. With mathematical ideas, we should master specific methods, such as method of substitution, undetermined coefficient method, mathematical induction, analysis, synthesis and induction. In terms of specific methods, commonly used are: observation and experiment, association and analogy, comparison and classification, analysis and synthesis, induction and deduction, general and special, finite and infinite, abstraction and generalization. When solving mathematical problems, we should also pay attention to solving the problem of thinking strategy, and often think about what angle to choose and what principles to follow. The commonly used mathematical thinking strategies in senior high school mathematics include: controlling complexity with simplicity, combining numbers with shapes, advancing forward and backward with each other, turning life into familiarity, turning difficulties into difficulties, turning retreat into progress, turning static into dynamic, and separating and combining. 3. Gradually form a "self-centered" learning model. Mathematics is not taught by teachers, but obtained through positive thinking activities under the guidance of teachers. To learn mathematics, we must actively participate in the learning process, develop a scientific attitude of seeking truth from facts, and have the innovative spirit of independent thinking and bold exploration; Correctly treat difficulties and setbacks in learning, persevere in failure, be neither arrogant nor impetuous in victory, and develop good psychological qualities of initiative, perseverance and resistance to setbacks; In the process of learning, we should follow the cognitive law, be good at using our brains, actively find problems, pay attention to the internal relationship between old and new knowledge, not be satisfied with the ready-made ideas and conclusions, and often think about the problem from many aspects and angles and explore the essence of the problem.