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Lesson 1: How to learn high school mathematics well?
1. Make a plan and clarify the purpose of learning. Plans should be realistic, with both long-term and short-term goals. The key is to implement.

2. Preview before class is the basis to achieve 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. "Learning is not enough" allows you to concentrate in class and write down what the teacher added, instead of copying everything and writing it down.

Timely review is an important part of improving learning efficiency. According to the forgetting curve, if you really want to "apply" mathematical knowledge to solve problems, you must review it. Review points: review on the same day and review in stages. There are many ways to review, such as retrospective review, comparing old and new review, sorting out notes and so on.

5. Independent homework is a process of further deepening the understanding of new knowledge and mastering new skills through independent thinking, flexible analysis and problem solving. It is not a good habit for some students to discuss with others at the beginning of their homework. When their ideas are mature, they will communicate with other students, from one idea to two, and broaden your thinking.

6. Problem-solving refers to the process of straightening out ideas by enlightening and supplementing answers to exposed wrong knowledge or missing answers because of blocked thinking in the process of independently completing homework. 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 summary: On the basis of systematic review, the summary should be based on teaching materials, reference notes and materials, and reveal the internal relationship between knowledge through analysis, synthesis, analogy and generalization, so as to achieve the purpose of mastering the knowledge learned. Frequent multi-level summary can change knowledge from "living" to "understanding".

8. Extracurricular learning includes reading extracurricular books and newspapers, participating in academic competitions and lectures, and visiting senior students or teachers to exchange learning experiences. Extracurricular learning is a supplement and continuation of in-class learning. It can not only enrich students' cultural and scientific knowledge, deepen and consolidate what they have learned in class, but also satisfy and develop our hobbies, cultivate the ability of independent study and work, and stimulate curiosity and enthusiasm for learning.