inverse ratio

简明释义

反比

英英释义

例句

1.The cost of production is often found to be in an inverse ratio 反比 to the quantity produced.

生产成本通常与生产数量呈反比。

2.In finance, risk and return are typically in an inverse ratio 反比; higher returns come with higher risks.

在金融中，风险和回报通常呈反比；更高的回报伴随着更高的风险。

3.The amount of light received by a surface is in an inverse ratio 反比 to the square of the distance from the light source.

表面接收到的光量与光源的距离平方呈反比。

4.In this experiment, the speed of the reaction is in an inverse ratio 反比 to the concentration of the reactants.

在这个实验中，反应速度与反应物浓度呈反比。

5.As the distance increases, the gravitational force decreases in an inverse ratio 反比 to the square of the distance.

随着距离的增加，重力以距离平方的反比减小。

作文

Understanding the concept of an inverse ratio can significantly enhance our comprehension of various mathematical and real-world scenarios. An inverse ratio refers to a relationship where two quantities are inversely proportional to each other. This means that as one quantity increases, the other decreases in such a way that their product remains constant. This principle is not only applicable in mathematics but also in everyday situations, such as speed and time, where increasing speed results in a decrease in travel time for a fixed distance.To illustrate this concept further, let us consider a simple example involving work and time. Imagine two workers, Alice and Bob, who are tasked with completing a project. If Alice can complete the project in 4 hours, then her work rate is 1/4 of the project per hour. On the other hand, if Bob can finish the same project in 2 hours, his work rate is 1/2 of the project per hour. Here, we can see an inverse ratio at play. As the time taken by each worker decreases, their respective work rates increase. The product of their work rates multiplied by the time taken to complete the project will always equal the total amount of work required.In practical applications, understanding inverse ratios can be incredibly useful. For instance, in finance, if you invest a certain amount of money at a fixed interest rate, the time it takes for that investment to double is inversely related to the interest rate. If you find a higher interest rate, the time required for the investment to double decreases, demonstrating the inverse ratio between interest rates and time.Moreover, the concept of inverse ratio can be observed in physics as well. Consider the relationship between pressure and volume in a gas. According to Boyle's Law, when the temperature of a gas is held constant, the pressure of the gas is inversely proportional to its volume. This means that if the volume of the gas decreases, the pressure increases, and vice versa, maintaining an inverse ratio between the two variables. This principle is crucial in understanding how gases behave under different conditions, which has implications in various fields such as engineering and environmental science.In conclusion, the inverse ratio is a fundamental concept that transcends mathematical theory and finds relevance in various aspects of our daily lives. By recognizing the relationships governed by inverse ratios, we can make more informed decisions, whether in managing time and resources or understanding scientific principles. As we continue to explore the world around us, grasping the intricacies of inverse ratios will undoubtedly enrich our understanding and application of knowledge in diverse fields. Thus, embracing this concept can lead not only to better academic performance but also to enhanced problem-solving skills in real-life situations.

理解反比的概念可以显著增强我们对各种数学和现实场景的理解。反比指的是两种数量之间的关系，它们是反向成比例的。这意味着，当一种数量增加时，另一种数量以某种方式减少，使得它们的乘积保持不变。这个原则不仅适用于数学，还适用于日常情况，例如速度和时间，在固定距离下，增加速度会导致旅行时间减少。为了进一步说明这一概念，让我们考虑一个简单的例子，涉及工作和时间。想象一下两个工人，爱丽丝和鲍勃，他们被分配完成一个项目。如果爱丽丝可以在4小时内完成项目，那么她的工作率是每小时1/4个项目。另一方面，如果鲍勃可以在2小时内完成同样的项目，他的工作率是每小时1/2个项目。在这里，我们可以看到反比的作用。随着每个工人所用时间的减少，他们各自的工作率增加。每个工人的工作率乘以完成项目所需的时间的乘积将始终等于所需的总工作量。在实际应用中，理解反比可以非常有用。例如，在金融方面，如果你以固定的利率投资一定金额，那么该投资翻倍所需的时间与利率成反比。如果你找到更高的利率，那么投资翻倍所需的时间就会减少，这表明利率和时间之间存在反比关系。此外，反比的概念在物理学中也可以观察到。考虑气体中的压力和体积之间的关系。根据波义尔定律，当气体的温度保持恒定时，气体的压力与其体积成反比。这意味着如果气体的体积减少，压力就会增加，反之亦然，保持两者之间的反比关系。这个原则对于理解气体在不同条件下的行为至关重要，这在工程和环境科学等多个领域都有影响。总之，反比是一个基本概念，超越了数学理论，并在我们日常生活的各个方面都有相关性。通过识别由反比支配的关系，我们可以做出更明智的决策，无论是在管理时间和资源还是理解科学原理时。随着我们继续探索周围的世界，掌握反比的复杂性无疑会丰富我们在不同领域的理解和知识应用。因此，接受这一概念不仅可以提高学业表现，还可以增强在现实生活中解决问题的能力。