1, understand the concept of ratio: ratio is a way to describe the relationship between two quantities. In the application of ratio, the ratio between speed, distance and time is usually given.
Identify the ratio in the question: find the ratio in the question, and determine which is the "front item of the ratio", which is the "back item of the ratio" and their ratio.
2. Convert ratio into proportion or fraction: According to the nature of ratio, ratio can be converted into proportion or fraction. For example, if the speed is 3: 4, it can be expressed as a ratio of 3/4 or 3: 4.
Establish a mathematical model: according to the requirements of the topic, establish a corresponding mathematical model. If the sum or difference of two quantities is required, it can be calculated directly by proportion or fraction; If the product or quotient of two quantities is required, it can also be calculated by proportion or fraction.
3. Calculation result: Calculate according to the established mathematical model to get the final result.
The significance of the ratio application problem;
1, the significance is to help us better understand and solve practical problems by comparing the relationship between different quantities. In real life, the ratio is widely used, for example, in the comparison of physical quantities such as speed, distance and time, it can be used to calculate time and distance. In the commercial field, we can make a marketing strategy by comparing the prices and sales of different products. In the medical field, we can make treatment plans by comparing the physiological indexes of different patients. Therefore, the application of comparative method has important practical significance and value.
2. The significance of comparing practical problems lies in cultivating students' mathematical thinking and problem-solving ability. By solving comparative application problems, students' mathematical thinking and logical reasoning ability can be exercised, and their understanding and application ability of mathematical knowledge can be improved. At the same time, students can accumulate experience and methods to solve problems by solving practical problems, improve their ability to solve problems, and lay a solid foundation for future study and work.
3. The application problem of ratio can also help students better understand the concepts of ratio and percentage in mathematics and deepen their understanding and mastery of mathematical knowledge.