How to learn junior high school mathematics function well based on zero, first of all, we should be familiar with coordinate system.
After learning the coordinate system by division, the second stage of junior high school began to learn the coordinate system. Coordinate system is the container of all functions and needs to be reflected in all functions.
Learn to express opinions.
In addition, you need to learn to represent points and learn to use abscissa and ordinate to represent the position and characteristics of points. Learn to express the position, movement and characteristics of points.
Understand the concept of function
Understand the concepts of independent variables and dependent variables, and then understand the concept of function. Only by understanding the concept of function can we calculate the function problem.
Function learning method in junior high school
1, pay attention to the idea of "analogy"
Different things often have some same or similar properties. People use this property of similar things to know another thing similar to it through their understanding of one thing. This way of thinking is analogy. The direct proportional function, linear function, inverse proportional function and quadratic function in junior high school learning are essentially similar in concept derivation, image property research and basic problem solving methods. Therefore, the analogy method is not only time-saving and labor-saving, but also helpful for students to understand and apply. This is an economical and effective teaching method.
2. Pay attention to the idea of "combination of numbers and shapes"
The thinking method of combining numbers and shapes is an important thinking method in junior high school mathematics. Mathematics is a science that studies quantitative relations and spatial forms in the real world. The combination of numbers and shapes is to solve mathematical problems through the correspondence and transformation between numbers and shapes. It includes two aspects: helping numbers with shapes and solving shapes with numbers. By using it, complex problems can be simplified and abstract problems can be concretized. It is both rigorous in numbers and intuitive in form.
The three representation methods of function: analytical method, list method and image method themselves embody the "combination of number and shape" of function. Function image is an effective tool to "photograph" abstract functions, and function teaching is inseparable from the learning of function images.
3. Pay attention to the range of independent variables.
The range of independent variables is the difficulty and test point in solving function problems. Correctly finding out the range of independent variables and correctly understanding the problem come down to solving inequalities or groups of inequalities. This requires students to master the idea of function and the practical application of inequality, and fully consider the practical significance of value choice.
4. Pay attention to practical application problems.
One of the main purposes of learning function is to establish an effective function model in complex real life and use the knowledge of function to solve problems. This is also the learning advocated by the new curriculum standard, so the new textbook strongly advocates the application and practice of functions.