What are the skills to solve mathematical functions? 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 learned in junior high school are essentially similar in concept, image properties and basic problem-solving methods. Therefore, Teacher Liu of Sunshine Learning Network pointed out that adopting analogy not only saves time and effort, but also helps students to understand and use it. 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. Finding out the range of independent variables correctly and understanding the problem correctly can be summed up as 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.
What are the skills to solve mathematical functions? The detailed strategy is described above. I hope friends can study the content more than a few times. After sufficient research, we will apply the above methods to our own problems, which will definitely improve the accuracy of our problems soon.