1. Draw a line segment diagram: Drawing a line segment diagram can intuitively express the relationship between quantities and facilitate the discovery of the relationship between quantities and problems. When drawing a line segment, draw a schematic diagram in proportion and indicate the data.

2. Find out the equivalence relation: Equivalence relation is the key to understand the meaning of the question, so we should carefully examine the question and find out the equivalence relation in the question. Common equivalence relations are distance = speed × time, total distance = sum of distances when meeting, etc.

3. Use the proportional relationship: the proportional relationship is a common quantitative relationship in the trip problem, and the problem can be solved through the proportional relationship. For example, if you know the distance between A and B and the speed ratio of A and B, you can find out the time when two cars meet. Knowing the ratio of time and speed, we can find out the distance between the two places.

4. Piecewise problem solving: For the problem of non-uniform travel, you can divide the motion into several segments, analyze each segment with the method of uniform travel problem, and then combine the results.

5. Solving problems with equations: When the relationship is complex and the conditions are scattered, equations can be used to solve problems. Assuming that the unknowns with the most conditional relations are unknowns, grasping the important equations of equivalence relations can often be solved smoothly.

The importance of travel problems

Travel plays an important role in mathematics, because it not only involves basic concepts such as speed, time and distance, but also requires students to master how to deal with these relationships. By solving travel problems, students can improve their understanding of mathematical models, enhance their ability to solve problems, and cultivate their interest and enthusiasm for mathematics.

In addition, travel problems are also common in daily life, such as calculating the distance traveled by cars and the travel time of trains. Therefore, solving travel problems not only helps to improve math skills, but also helps people to better understand and solve problems in real life.