1. Don't make a mountain out of a molehill: as long as many questions can be answered by simple methods such as exception, exclusion and assignment, there is no need to do them by conventional methods. Try to answer quickly and accurately in the simplest way, and never do anything like "bombing mosquitoes".
Second, avoid not understanding the meaning of the problem: understanding the meaning of the problem is the first step to solve the problem. Some students, when solving problems, didn't finish reading or understand the problem, and didn't know the meaning of the problem very well, so they took it for granted to write down the problem. The result of this is often that Mai Cheng fails, so they must carefully examine the problem and turn it into their familiar mathematics content.
Third, don't ignore the conditions: setting the conditions of the problem is the major prerequisite for solving the problem. Ignore the conditions and put aside the major premise, and there will be ten questions and nine mistakes. Therefore, we should be good at using conditions, transforming conditions and finding the correct way to solve problems.
Fourth, avoid paying attention to one thing and losing the other: a topic may have multiple demands, and each demand meets certain conditions in various situations. Ignoring any aspect may lead to mistakes. Therefore, when solving problems, we should consider them comprehensively and analyze them carefully to avoid paying attention to one thing and losing another.
5. Don't be impetuous: Impetuousness is a taboo to solve problems. If impetuous, it is easy to be distracted, and it is bound to be unfocused, which is not conducive to solving problems. Carelessness may lead to mistakes that you shouldn't make, so you will regret it. Therefore, we must not be impetuous.
6. Avoid the separation of numbers and shapes: The combination of numbers and shapes is one of the important thinking methods in solving mathematical problems. Some algebraic problems can be solved more intuitively and quickly with the help of geometric figures, and some geometric problems can reflect the internal relations of various parts of the figures more accurately with the help of quantitative relations, which is more conducive to improving the efficiency of solving problems. Therefore, when solving problems, we should strive to combine numbers and shapes and separate them.
7. Avoid following the rules: Some problems are difficult to solve by conventional methods, but they may be broken by unconventional methods. Therefore, when the thinking of solving problems by conventional methods is blocked, we might as well change our perspective and find another way. Maybe the light is just around the corner, and you can be innovative in solving problems.
Eight, taboo is not standardized: the problem-solving is not standardized mainly in: not paying attention to the expression of the problem-solving process, and the steps are endless.
The whole, jumping, scribbling, disorganization, and unclear level, and the written preface are all factors that cannot be ignored. Many students' shortcomings pointed out by the teacher in their homework will still reappear in the exam, so the problem-solving must be standardized and never go its own way.