Write a "solution" in the application problem as a whole, and the formulas listed by yourself should generally be written as "solution, gain". Let me take an application problem as an example to talk about the standard problem-solving format.

The first step is to analyze the overall idea after reading the topic, and then write a "solution" as a whole. ：

The second step is to set an unknown number after analyzing the topic and make an equation according to the set unknown number.

The third step is to write a "solution" after listing the equations. The calculation process of the formula is completed on draft paper, and finally only a result is written.

Extended data:

Skills to solve junior high school application problems;

1, clear your mind and think about the whole application problem from the perspective of the problem.

2. Standardize the process of solving problems.

3. Careful, in-depth and meticulous examination should be paid attention to.

4. Be good at using analogy to inspire problem-solving ideas.

5. You can try to solve application problems with reverse thinking.

6. Be good at summing up problem-solving ideas by changing methods.

7. Pay attention to efficient reading topics.

8. Do the problem scientifically.

9. Cultivate a good attitude when doing problems.

Common problem-solving methods in junior one mathematics

1, matching method

The so-called formula is to change some items of an analytical formula into the sum of positive integer powers of one or more polynomials by using the method of constant deformation. The method of solving mathematical problems with formulas is called matching method. Among them, the most common method is to make it completely flat. Matching method is an important method of constant deformation in mathematics. It is widely used in factorization, simplifying roots, solving equations, proving equality and inequality, finding extreme values of functions and analytical expressions.

2, factorization method

Factorization is to transform a polynomial into the product of several algebraic expressions. Factorization 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.

3. Alternative methods

Method of substitution is a very important and widely used method to solve problems in mathematics. We usually refer to unknowns or variables as elements. 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.

4. Discriminant method and Vieta theorem.

The root discrimination of unary quadratic equation ax2+bx+c=0(a, B, C belongs to R, a≠0) and△ = B2-4ac is not only used to judge the properties of roots, but also widely used in algebraic deformation, solving equations (groups), solving inequalities, studying functions and even geometric and trigonometric operations as a problem-solving method.

Vieta's theorem not only knows one root of a quadratic equation, but also finds another root. Knowing the sum and product of two numbers, we can find the symmetric function of the root, calculate the sign of the root of quadratic equation, solve the symmetric equation and solve some problems about quadratic curve. , has a very wide range of applications.