Many students are afraid of difficulties when they see application problems. Because they are afraid of wasting time, they look at the questions at will, which leads to careless reading and insufficient understanding, which leads to insufficient analysis of application problems and thus cannot solve them.
2 Hypothesis: Set appropriate unknowns. After reading the questions and clarifying the relationship between the questions and the known and unknown conditions,
Appropriate unknowns need to be set according to the meaning of the question, which can be set as direct unknowns, and sometimes indirect unknowns need to be set according to the meaning of the question.
3 columns: the mathematical relationship of columns. After setting appropriate unknowns according to the meaning of the question, find out the equation relationship that represents all the meanings of the application question, and list the mathematical relationship, and the application question will become a pure mathematical problem. It should be noted that the listed equations should satisfy that the quantities on both sides of the equal sign should be equal and the algebraic units on both sides of the equation should be the same. At the same time, the range of unknown values should be written according to the needs of the problem. Then, we should use what we have learned to solve mathematical problems and pay attention to the integrity of the problem-solving process.
4 solution: according to the steps of solving the equation, carefully and completely solve the result of the equation. It should be noted that the answer should meet the requirements of practical problems, such as the number of people, trees and machines must be non-negative integers to meet the actual situation.
Test and answer: after the equation is solved, test it, and then write the answer clearly and completely.
The test should be done as follows: the solution obtained from the test can not only make the equation effective, but also make the application problem meaningful; Finally, I have to answer. It is an essential step to return the conclusion of solving mathematical problems to practical problems.