1. Select the appropriate eigenvalue: the selection of eigenvalue should be as simple as possible and easy to calculate. Usually we choose some special values, such as 0, 1,-1 and so on. As a special value.
2. Determine the range of special values: When selecting special values, you need to specify the range of special values to ensure that the special values are within the limits of the conditions given in the questions.
3. Pay attention to the validity of the special value: the special value is only used to simplify the calculation process of the problem, so it is necessary to verify whether the special value meets the conditions and requirements of the problem when using the special value method. If the special value does not meet the conditions, you need to re-select the special value.
4. Pay attention to the independence of special value: when using the special value method, it is necessary to ensure the independence of special value, that is, the choice of special value should not be affected by other variables. This can ensure the correctness of the special value method.
5. Pay attention to the rationality of special values: the choice of special values should conform to the meaning and logic of practical problems. For example, when solving a problem about distance, we can choose 1 as a special value because 1 is a commonly used distance unit.
6. Pay attention to the flexibility of special values: when using the special value method, you need to use different special values flexibly for calculation. Sometimes, the same problem can be solved with many different eigenvalues, which can increase the flexibility and diversity of solving problems.
In a word, when using eigenvalue method to solve junior high school mathematics problems, we need to choose appropriate eigenvalue, and pay attention to the range, effectiveness, independence, rationality and flexibility of eigenvalue. Only on the basis of reasonable selection and use of eigenvalues can the eigenvalue method be correctly applied to solve the problem.