inverse proportional

简明释义

反比例的

英英释义

例句

1.In physics, pressure is inverse proportional to volume for a fixed amount of gas; when volume increases, pressure decreases.

在物理学中，对于固定量的气体，压力与体积是反比例关系；当体积增加时，压力减少。

2.The speed of a car is inverse proportional 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的时间是反比例关系；速度越快，所需时间越短。

3.The cost per unit is inverse proportional to the quantity purchased; buying in bulk typically reduces the price per item.

单位成本与购买数量是反比例关系；批量购买通常会降低每件商品的价格。

4.The brightness of a light bulb is inverse proportional to the distance from the observer; the farther away you are, the dimmer it appears.

灯泡的亮度与观察者的距离是反比例关系；你离得越远，亮度看起来就越暗。

5.The amount of time needed to complete a task is inverse proportional to the number of people working on it; more hands make lighter work.

完成一项任务所需的时间与参与人数是反比例关系；人手越多，工作越轻松。

作文

Understanding the concept of inverse proportionality is essential in various fields, including mathematics, physics, and economics. When we say that two quantities are inverse proportional (反比例), we mean that as one quantity increases, the other quantity decreases in a way that their product remains constant. This relationship can be represented mathematically as y = k/x, where k is a constant. For example, consider the relationship between speed and travel time when covering a fixed distance. If you increase your speed, the time it takes to reach your destination decreases, illustrating an inverse proportional (反比例) relationship. The faster you go, the less time you need to cover the same distance. This principle is not only applicable to physical scenarios but also extends to economic contexts. In economics, the demand for a product is often inverse proportional (反比例) to its price. As the price of a good increases, the quantity demanded typically decreases, assuming all other factors remain constant. This relationship helps businesses determine pricing strategies and predict consumer behavior. Furthermore, understanding inverse proportional (反比例) relationships aids in problem-solving and decision-making processes. For instance, in project management, if the number of workers on a task increases, the time required to complete the task generally decreases. This is another practical example of how inverse proportional (反比例) relationships manifest in real life. In scientific research, the concept of inverse proportional (反比例) is crucial when analyzing variables. For instance, in physics, the intensity of light is inverse proportional (反比例) to the square of the distance from the light source. This means that as you move further away from a light source, the intensity of light decreases rapidly, following an inverse proportional (反比例) relationship. Moreover, the understanding of inverse proportional (反比例) relationships can enhance our analytical skills. By recognizing these patterns, we can make informed predictions and decisions based on the behavior of different variables. In education, for example, students who study more hours tend to perform better on exams, but there is a point where additional hours may not significantly improve results, showcasing a complex relationship that can sometimes appear inverse proportional (反比例) after a certain threshold. In conclusion, grasping the idea of inverse proportional (反比例) relationships is vital across various disciplines. Whether in mathematics, economics, or everyday life, recognizing how two variables interact can lead to better understanding and more effective decision-making. By applying this knowledge, we can navigate complex situations with greater ease and clarity, ultimately enhancing our ability to solve problems and achieve desired outcomes.

理解反比例的概念在数学、物理和经济等多个领域都是至关重要的。当我们说两个量是反比例时，我们的意思是当一个量增加时，另一个量以一种方式减少，使得它们的乘积保持不变。这个关系可以用数学公式表示为y = k/x，其中k是常数。例如，考虑速度和旅行时间之间的关系，当覆盖固定距离时。如果你提高速度，那么到达目的地所需的时间就会减少，这说明了一个反比例关系。你走得越快，覆盖相同距离所需的时间就越少。这个原则不仅适用于物理场景，还扩展到经济背景。在经济学中，产品的需求通常与其价格呈反比例关系。随着商品价格的上涨，假设其他因素保持不变，需求量通常会减少。这种关系帮助企业确定定价策略并预测消费者行为。此外，理解反比例关系有助于解决问题和决策过程。例如，在项目管理中，如果任务上的工人数量增加，完成任务所需的时间通常会减少。这是反比例关系在现实生活中表现出的另一个实际例子。在科学研究中，反比例的概念在分析变量时至关重要。例如，在物理学中，光强度与光源距离的平方成反比例关系。这意味着，当你远离光源时，光的强度迅速下降，遵循一种反比例关系。此外，理解反比例关系可以增强我们的分析能力。通过识别这些模式，我们可以根据不同变量的行为做出明智的预测和决策。在教育中，例如，学习时间更长的学生通常在考试中表现更好，但在某个点上，额外的学习时间可能不会显著提高成绩，展示了一种复杂的关系，有时在某个阈值后可能呈现反比例。总之，掌握反比例关系的理念在多个学科中都是至关重要的。无论是在数学、经济学还是日常生活中，认识到两个变量之间的相互作用可以导致更好的理解和更有效的决策。通过应用这一知识，我们可以更轻松地应对复杂情况，最终增强解决问题和实现预期结果的能力。