1. Examination: Application questions are usually long. Candidates need to read the stem patiently, understand the conditions in solving the stem, find out the key points of the stem, eliminate irrelevant information in the stem, and clarify the problems they want to solve.
2. Modeling: On the basis of understanding the topic, establish a reasonable mathematical model. According to the situation and requirements of the topic, appropriate mathematical formulas and methods can be selected for modeling.
3, break through the mindset: sometimes you need to use some special mathematical thinking methods to solve difficult problems. You can try to start with more topics, find different paths, think from multiple angles, and try to break through the mindset.
4. Reasonably analyze and solve problems: Reasonable analysis can improve efficiency. When doing application problems, each step should be analyzed clearly, and the calculation and derivation should be refined as much as possible, shortening the steps and saving time and cost.
5. Pay special attention to equation transformation: In practical problems, equation transformation can often greatly simplify the calculation, and special attention should be paid to it. We can try our best to convert complex equations into simple equations, which is easier to operate and improves the efficiency of solving problems.
6. Arithmetic solution: If the application problem contains a lot of arithmetic operations, algorithms can be used to shorten the calculation time, such as matrix operations.
Matters needing attention in doing application problems
1. Pay attention to details: When doing application problems, you need to pay attention to details and check the details of each step, such as whether the units match, whether the data are correct and whether the calculation is accurate. If there are details, it may affect the result of solving the problem and eventually lead to low scores.
2, error correction mentality: when the answer to the question does not match the result of your own deduction, you should stay calm and don't give up easily. You can check whether the calculation process and formula are correct or re-check the questions to avoid mistakes caused by misunderstanding the questions.
3. Time control: You need to pay attention to time control when doing application problems. You should try to shorten your thinking time, make sure to finish it within the specified time, and avoid missing the answer because of lack of time.
4. Familiar with formulas and knowledge points: Scientific and reasonable review and memory can improve the problem-solving ability of application problems. We should learn and be familiar with all kinds of mathematical formulas and knowledge points, and master their applicable occasions and related knowledge points so as to use them flexibly when dealing with application problems.
5. Handling of abnormal situations: When doing application problems, you may encounter some abnormal situations, such as unreasonable data, complex model, no solution or multiple solutions to constraint equations, etc., which require candidates to respond flexibly according to specific situations.