I. Inducing knowledge

In particular, mathematics knowledge is closely related, and knowledge is on the rise. If you can sum up well, you can skillfully use relevant knowledge. For example, in the eighth grade, I first talked about the definition of function, then studied the proportional function and linear function, then studied the image and properties of function, the relationship between point coordinates and analytical formula, and determined the method of analytical formula.

Second, inductive problem-solving methods

Although there are many ways to solve the problem, there are always some commonly used methods. For example, it is a common question to prove that "line segments are equal". The commonly used methods are: midpoint definition, equivalent substitution, equivalent addition and subtraction, congruent triangles's corresponding sides are equal, equilateral, axisymmetric, central symmetry, parallelogram's opposite sides are equal, and rectangle's diagonal lines are equal.

Third, summarize the geometric content analysis method.

In solving mathematical problems, analysis is the most critical, and synthesis is the most commonly used. In addition, there are empirical guessing methods, such as: "The sum of the five internal angles of a five-pointed star-shaped figure is 180 degrees, then the sum of the five internal angles is considered as 180 degrees, which is converted into the sum of the internal angles of a triangle.

Fourth, summarize error-prone knowledge and test sites.

Students' mastery of knowledge is limited to classroom learning, and they don't pay attention to the mistakes in homework, so that the mistakes in the exam have not been corrected. Therefore, students should learn to summarize error-prone questions and knowledge points. For example, when learning the solution of a linear equation with one variable, we should summarize the problems that need to be paid attention to in each step.

For the step of naming, we should pay attention to multiplying each item by the common denominator, and we must not miss any item, especially the item without denominator. In addition, to treat the molecule as a whole, brackets should be added to the molecule when necessary, especially when the molecule is a polynomial, and attention should be paid to the symbol problem of removing brackets.

If there is a negative sign before the brackets, be sure to change the symbol of each item and don't miss the following items. With the equal sign as the boundary, you only need to change the sign when moving from one side of the equal sign to the other. Only change the position on one side of the equal sign, and you must not change the sign without passing the equal sign. In this step of merging similar items, you should pay attention to the subtraction in coefficient addition and subtraction. Subtracting a number is equal to adding the inverse of this number.