The final question is generally to point out the big question at the end of the math test paper now. This kind of questions generally have many scores, great difficulty and strong comprehensive ability, which can open students' scores in the exam and is also the key research project of many students and teachers.
Main inspection: calculation and proof of line segment and angle; Graphic position relationship; Dynamic geometry; Quadratic equation and quadratic function; Cross-synthesis of multiple functions; Solve application problems with column equations (groups); Dynamic geometry and function problems; Induction and conjecture of geometric figures; Reading comprehension problems.
Reflections on solving the final problem of mathematics in senior high school entrance examination
1, learn to combine numbers with shapes.
Throughout the country in recent years, most of the final exam questions are related to the plane rectangular 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 method, and study the quantitative relationship by using the properties of geometric figures to seek algebraic problems. On the other hand, with the help of geometric intuition, some algebraic problems can be solved.
2. Learn to use functions and equations.
The key to solving problems with equation thinking is to construct equations (groups) by using known conditions or conclusions in formulas and theorems. This idea is widely used in algebra, geometry and real life.
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.
3. Learn to use 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.