reverse proportionality

简明释义

反比例

英英释义

例句

1.The amount of time spent studying is in reverse proportionality to the number of mistakes made on a test.

学习时间与考试中犯错的数量呈反比例关系。

2.The speed of a car is in reverse proportionality to the time it takes to reach a destination; as speed increases, time decreases.

汽车的速度与到达目的地所需时间呈反比例关系；速度越快，所需时间越少。

3.In physics, the intensity of light is in reverse proportionality to the square of the distance from the source.

在物理学中，光的强度与距离源头的平方成反比例关系。

4.In economics, the demand for a product often shows reverse proportionality with its price; as prices rise, demand typically falls.

在经济学中，产品的需求通常与其价格呈反比例关系; 当价格上涨时，需求通常会下降。

5.In a fixed budget, the quantity of one good is in reverse proportionality to the quantity of another good.

在固定预算中，一种商品的数量与另一种商品的数量呈反比例关系。

作文

In the world of mathematics and physics, the concept of reverse proportionality plays a crucial role in understanding various phenomena. Reverse proportionality refers to a relationship between two quantities where an increase in one quantity results in a decrease in the other, and vice versa. This relationship can be observed in many real-life situations, making it an essential concept for students and professionals alike.One classic example of reverse proportionality can be found in the context of speed and travel time. When planning a journey, one might notice that the faster they travel, the less time it takes to reach their destination. If a traveler drives at a speed of 60 miles per hour, they will take 2 hours to cover 120 miles. However, if they increase their speed to 120 miles per hour, the travel time reduces to just 1 hour. This illustrates the principle of reverse proportionality: as speed increases, time taken decreases.Another area where reverse proportionality is evident is in the field of economics. Consider the relationship between supply and demand. When the supply of a product increases while demand remains constant, the price of that product tends to decrease. Conversely, if the supply decreases, the price typically rises. This inverse relationship is a fundamental principle in economics, demonstrating how reverse proportionality governs market dynamics.In science, reverse proportionality can also be observed in the realm of gas laws. According to Boyle's Law, the pressure of a gas is inversely proportional to its volume when temperature remains constant. If a gas is compressed into a smaller volume, the pressure increases; if the volume expands, the pressure decreases. This relationship is vital for understanding how gases behave under different conditions and is essential in fields such as chemistry and engineering.Moreover, reverse proportionality can be applied to everyday life scenarios. For instance, consider the relationship between the number of workers on a project and the time required to complete it. If more workers are added to a project, the time taken to finish the work typically decreases. However, if fewer workers are available, the completion time increases. This is another manifestation of reverse proportionality that can be seen in various aspects of teamwork and productivity.Understanding reverse proportionality not only helps in academic pursuits but also enhances critical thinking skills. It encourages individuals to analyze situations from different perspectives and recognize patterns in data. Whether in academics, professional settings, or daily life, the ability to identify and apply the concept of reverse proportionality can lead to better decision-making and problem-solving.In conclusion, reverse proportionality is a fundamental concept that permeates various fields, including mathematics, economics, science, and everyday life. By recognizing and understanding this relationship, individuals can gain valuable insights into how different factors interact with one another. Embracing the principles of reverse proportionality can empower individuals to make informed choices and navigate the complexities of the world around them effectively.

在数学和物理的世界中，反比例关系的概念在理解各种现象中发挥着至关重要的作用。反比例关系指的是两个量之间的一种关系，其中一个量的增加导致另一个量的减少，反之亦然。这种关系可以在许多现实生活的情况下观察到，使其成为学生和专业人士都必不可少的概念。一个经典的反比例关系的例子可以在速度和旅行时间的背景下找到。当计划一次旅行时，人们可能会注意到他们的旅行速度越快，到达目的地所需的时间就越少。如果一位旅行者以每小时60英里的速度行驶，他们将需要2小时才能覆盖120英里。然而，如果他们将速度提高到每小时120英里，旅行时间就减少到仅1小时。这说明了反比例关系的原理：随着速度的增加，所需的时间减少。另一个观察到反比例关系的领域是经济学。考虑供给和需求之间的关系。当某种产品的供应增加而需求保持不变时，该产品的价格往往会下降。相反，如果供应减少，价格通常会上升。这种反向关系是经济学中的一个基本原则，展示了反比例关系如何支配市场动态。在科学中，反比例关系也可以在气体法则的领域中观察到。根据波义尔定律，当温度保持不变时，气体的压力与其体积成反比。如果气体被压缩到更小的体积，压力就会增加；如果体积扩展，压力就会减少。这种关系对于理解气体在不同条件下的行为至关重要，并且在化学和工程等领域中是必不可少的。此外，反比例关系也可以应用于日常生活场景。例如，考虑项目中工人数与完成所需时间之间的关系。如果在项目中增加更多工人，完成工作的时间通常会减少。然而，如果可用工人减少，则完成时间会增加。这是反比例关系的另一个表现，可以在团队合作和生产力的各个方面看到。理解反比例关系不仅有助于学术追求，还增强了批判性思维能力。它鼓励个人从不同角度分析情况并识别数据中的模式。无论是在学术、专业环境还是日常生活中，识别和应用反比例关系的能力都可以带来更好的决策和问题解决。总之，反比例关系是一个基本概念，渗透到数学、经济学、科学和日常生活的各个领域。通过识别和理解这种关系，个人可以获得对不同因素如何相互作用的宝贵见解。接受反比例关系的原则可以使个人能够做出明智的选择，有效地应对周围世界的复杂性。