1, familiar with the basic steps and methods of solving problems.

Mathematical problems are ever-changing, but the steps and ideas of solving them are basically the same. Therefore, we should be familiar with the basic problem-solving steps and methods such as problem-solving thinking, problem modeling, data analysis and conclusion induction. Only in this way can we solve problems quickly and accurately in the exam.

2. Carefully examine the questions.

Examining questions is the basis and key to solving problems. Be careful when examining the questions, understand the meaning of the questions, find out the key words and known conditions in the questions, and clarify the ideas and methods of solving the problems. If the examination is not clear, it will lead to the wrong direction of solving problems, or even unable to solve problems.

3. Master commonly used mathematical ideas and methods.

Mathematical thoughts and methods are the soul and key to solving problems. Commonly used mathematical ideas include: the idea of function and equation, the idea of combining numbers with shapes, and the idea of classified discussion. Commonly used mathematical methods are: method of substitution, undetermined coefficient method, collocation method, etc. Mastering these mathematical ideas and methods can better solve mathematical problems.

4. Learn to use knowledge flexibly.

There are many knowledge points in high school mathematics, which requires students to learn to use flexibly. When solving problems, we should flexibly use knowledge points according to the requirements of the topic and the known conditions, decompose complex problems into simple ones and solve them step by step.

5. Cultivate your thinking ability.

Mathematics is a subject that needs high thinking ability. When solving problems, we should be good at thinking and analyzing problems and cultivate our thinking ability. Doing more questions, thinking more and summarizing more can improve your thinking ability.

Methods of cultivating mathematical thinking ability;

1. Understand and master basic concepts and principles: Mathematical thinking is based on basic mathematical concepts and principles. Therefore, to cultivate mathematical thinking ability, we first need to understand and master basic concepts and principles. This can be achieved by reading more textbooks, doing more exercises and participating in math competitions.

2. Cultivate observation and analysis ability: observation and analysis ability is an important part of mathematical thinking. To cultivate these abilities, we can pay more attention to observing the laws and characteristics of topics, think more about problems, and gradually improve our analytical ability.

3. Cultivate reverse thinking: reverse thinking is a very important way of thinking, which is often used in solving mathematical problems. We can think from the opposite side of the problem and use formulas in reverse to cultivate the ability of reverse thinking.

4. Cultivate spatial thinking ability: Spatial thinking ability is very important for learning geometry and solving solid geometry problems. We can cultivate our spatial thinking ability by observing models and making three-dimensional graphics.

5. Cultivate reasoning ability: reasoning ability is the core of mathematical thinking. You can cultivate your reasoning ability by doing more proof questions and participating in math competitions.