1, taking the coordinate system as a bridge, using the idea of combining numbers and shapes.

Throughout recent years, most of the final exam questions in various places are related to the coordinate system, which is characterized by establishing the corresponding relationship between points and numbers, that is, coordinates. On the one hand, we can study the properties of geometric figures by algebraic methods, on the other hand, we can get the answers to some algebraic problems through geometric intuition.

2. Take the knowledge of straight line or parabola as the carrier, and use the idea of function and equation.

Straight line and parabola are two important functions in junior middle school mathematics, that is, linear function and quadratic function. Therefore, no matter how to find its analytical formula and study its properties, it is inseparable from the idea of functions and equations. For example, to determine the resolution function, it is often necessary to establish equations or equations and solve them according to known conditions.

3. Use the variability of conditions or conclusions and the idea of classified discussion.

The idea of classified discussion can be used to test the accuracy and rigor of students' thinking, often through the variability of conditions or the uncertainty of conclusions. If we do not pay attention to the classified discussion of various situations, some problems may have wrong solutions or missing solutions. Throughout recent years, it has become a new hot spot to solve the final exam questions by classified discussion.

4. Graphics or basic graphics needed for constructing theorems.

In the process of solving problems, it is sometimes necessary to add auxiliary lines. The requirements for students to add lines in the senior high school entrance examination are quite high, but almost all of them follow the principle of constructing graphs required by theorems or construct some common basic graphs.

5, can't do it, find similarity, have similarity, and use similarity.

The finale involves many knowledge points and it is difficult to transform knowledge. Students often don't know how to start, and they should always look for similar triangles according to the meaning of the question.

What qualities do you need to overcome the finale?

Solid basic knowledge, common mathematical models, flexible problem-solving skills and diverse problem-solving ideas.

How to shape the above characteristics:

1, basis: three theorems of vertex, symmetry axis, maximum and circle of parabola.

2. Models: symmetrical model, similar model, regional model, etc.

3. Skills: simplification of complex problems, stillness of motion problems and specialization of general problems.

4. Thinking: functional thinking, classified discussion thinking, reduction thinking, and combination of numbers and shapes.