1, factorization;

2. Alternative methods;

3, undetermined coefficient method

Extended data senior high school mathematics problem-solving skills

1, factorization method

Factorization is to transform a polynomial into the product of several algebraic expressions, which is the basis of identity deformation. As a powerful mathematical tool and method, it plays an important role in solving algebra, geometry and trigonometry problems. There are many methods of factorization, such as extracting common factors, formulas, grouping decomposition, cross multiplication and so on. Middle school textbooks also introduce the use of decomposition and addition, root decomposition, exchange elements, undetermined coefficients and so on.

2. Alternative methods

Method of substitution is a very important and widely used method to solve problems in mathematics. Usually, unknowns or variables are called variables. The so-called method of substitution is to replace a part of the original formula with new variables in a complicated mathematical formula, thus simplifying it and making the problem easy to solve.

3, undetermined coefficient method

When solving mathematical problems, it is first judged that the obtained results have a certain form and contain some undetermined coefficients, then the equations about undetermined coefficients are listed according to the problem setting conditions, and finally the values of these undetermined coefficients or some relationship between these undetermined coefficients are found out. This method is called undetermined coefficient method to solve mathematical problems. It is one of the commonly used methods in middle school mathematics.

Tips for solving math problems in senior high school

The last problem in 1. conic curve is often so complicated that it is difficult to get together that K cannot be calculated. At this time, the special value method can be used to calculate k forcibly. The process is to get together first and then calculate the delta. Using the lower David theorem, it is ok to list the expressions that need to be solved.

2. If there is a cone volume and surface area in the multiple-choice question, directly look at the option area, and find the small one with a difference of 2 times is the answer, and the small one with a difference of 3 times is the answer. I have been trying!

3. The second problem of trigonometric function, such as finding the corners of a(cosB+cosC)/(b+c)coA, and then taking the angle A calculated in the first problem as 60 degrees, directly assumes that both B and C are equal to 60 degrees. Save time and effort!

4. There is a step in the process of spatial geometry proof that I really can't think of directly writing out the unused conditions and drawing unexpected conclusions. If the first question really can't be written directly, the second question can be used directly! Students who use conventional methods suggest that a spatial coordinate system should be established at will first. If you make a mistake, you can get 2 points!