1. Look at the examples from another angle and expand the thinking space.
Those students who understand textbooks and textbook examples at first glance and are confused when doing them must read this article! Many students read books and examples, but they often pass by when they read them, because they often think they know everything when they read them, but they don't understand them thoroughly. So when you look at the example, you should cover up the solution, do it yourself, and look at it when you have finished or can't do it. At this time, you should think about what is different from the solution, what you didn't expect, what you should pay attention to, which method is better, and whether there is another solution.
After the above training, my thinking space has expanded and I have a comprehensive view of the problem. If the source of the topic is clear, it will be more beneficial to add a few comments at the back of the topic to explain the "vision" and ingenuity of the topic.
2. Do the test questions carefully and explore the purpose of the test.
The improvement of mathematical ability is inseparable from doing problems. Everyone knows the simple truth that "practice makes perfect". But the problem is not to engage in sea tactics, but to think of many problems through one problem. You should focus on the thinking process of solving problems, find out the significance and role of basic mathematical knowledge and basic mathematical ideas in solving problems, and study various ways to solve the same mathematical problem with different thinking methods. In the process of analyzing and solving problems, you should not only establish the horizontal connection of knowledge, but also develop the habit of thinking from multiple angles.
3. Learn to optimize the problem-solving process
Three words should be grasped in solving problems: number, shape and shape; Reading, examination and expression should realize the free conversion of three mathematics languages (written language, symbolic language and graphic language). We should attach importance to and strengthen the training and research of multiple-choice questions. We should not only be satisfied with the correct answer, but also learn to optimize the process of solving problems, pursue the quality of solving problems, spend less time and do more things, so as to win enough time to think and solve high-level problems.