Junior high school mathematics skillfully takes special values and simplifies junior high school mathematics. Although it is basic mathematics, it does not mean that it is not difficult, especially in quality education. From the perspective of cultivating students' comprehensive quality and ability, junior high school mathematics pays more and more attention to the cultivation of mathematical thinking. Therefore, the setting of many math problems is quite difficult to adjust, which makes math problems more complicated. Single thinking or problem-solving methods will be more difficult in front of some topics.
If we study some mathematical problems in a certain range and consider all the values one by one, then the problems will be extremely annoying and even get into trouble. In this case, it is the key to solve the problem to avoid the conventional solution and jump out of the established mathematical thinking.
Direct deduction, a common problem-solving method in junior high school mathematics: directly starting from the conditions given by the proposition, using concepts, formulas, theorems and so on. Inference or operation, draw a conclusion and choose the correct answer. This is the traditional method of solving problems, which is called direct deduction.
Verification method: find out the appropriate verification conditions from the questions, and then find out the correct answer through verification. You can also find the correct answer by verifying the alternative answers in the conditions. This method is called verification method (also called substitution method). This method is often used when encountering quantitative propositions.
Special value method: Use appropriate special elements (such as figures or numbers) to set conditions or conclusions for people to get answers. This method is called the special element method.
The elimination and screening methods of junior high school students' known mathematical problem-solving skills; For multiple-choice questions with only one correct answer, according to mathematical knowledge or reasoning and calculus, the incorrect conclusion is excluded, and the remaining conclusions are screened, so that the solution to the correct conclusion is called exclusion screening.
Analysis method: directly analyze, summarize and judge the conditions and conclusions of multiple-choice questions in detail, so as to select the correct results, which is called analysis method.
Integral substitution method: simplify an algebraic expression, and then substitute the simplified result as a whole without finding the value of a letter.
The above is my summary of junior high school math problem-solving skills, for your reference only, I hope to help you.