inverse proportion

简明释义

反比例

英英释义

例句

1.The amount of gas left in a tank is in inverse proportion to the distance traveled.

油箱中剩余的燃料量与行驶的距离成反比。

2.In economics, the demand for a product is often in inverse proportion to its price.

在经济学中，某产品的需求通常与其价格成反比。

3.As the speed of a car increases, the time required to reach a destination is in inverse proportion to the speed.

汽车速度越快，达到目的地所需的时间与速度成反比。

4.The time taken to complete a task is in inverse proportion to the number of people working on it.

完成任务所需的时间与参与人数成反比。

5.In physics, the brightness of a light source is in inverse proportion to the square of the distance from it.

在物理学中，光源的亮度与距离的平方成反比。

作文

In mathematics, the concept of inverse proportion (反比例) is a fundamental principle that describes the relationship between two variables. When two quantities are in inverse proportion (反比例), it means that as one quantity increases, the other decreases at a constant rate. This relationship can be observed in various real-life scenarios, making it an essential topic in both academic and practical contexts.For instance, consider a simple example involving speed and travel time. If a car travels at a higher speed, the time taken to reach a destination decreases. Conversely, if the car travels at a lower speed, the time taken increases. This relationship can be mathematically represented as: Speed × Time = Constant. Here, speed and time are in inverse proportion (反比例) to each other. This means that if speed doubles, the travel time is halved, illustrating the essence of inverse proportion (反比例).Another common example can be found in the context of work and workforce. Suppose a certain task requires a specific amount of work hours to complete. If more workers are assigned to the task, the time taken to finish the work will decrease. This again exemplifies the principle of inverse proportion (反比例). If we have a fixed amount of work, the number of workers and the time taken to complete the work are inversely related; as one increases, the other decreases.Understanding inverse proportion (反比例) is not only crucial for solving mathematical problems but also for making informed decisions in everyday life. For instance, businesses often rely on this principle when determining pricing strategies. If a company decides to increase the quantity of a product offered at a lower price, it may lead to increased sales volume. Here, the price and quantity sold are in inverse proportion (反比例): as the price decreases, the quantity sold typically increases.Moreover, the concept of inverse proportion (反比例) is prevalent in science as well. In physics, the relationship between pressure and volume in gases can be described using Boyle's Law, which states that pressure and volume are in inverse proportion (反比例) when the temperature is held constant. As the volume of a gas increases, its pressure decreases, and vice versa.In conclusion, the understanding of inverse proportion (反比例) is vital across various fields, including mathematics, economics, and science. Recognizing how two variables interact inversely allows individuals to analyze situations effectively and make better decisions. Whether it's calculating travel times, optimizing business strategies, or studying physical laws, the principle of inverse proportion (反比例) remains a powerful tool in our analytical arsenal. By mastering this concept, one can enhance their problem-solving skills and gain a deeper appreciation for the interconnectedness of different phenomena in the world around us.

在数学中，inverse proportion（反比例）的概念是一个基本原理，它描述了两个变量之间的关系。当两个量呈现出inverse proportion（反比例）时，这意味着当一个量增加时，另一个量以恒定的速率减少。这种关系可以在各种现实生活场景中观察到，使其成为学术和实际背景下的重要主题。例如，考虑一个简单的例子，涉及速度和旅行时间。如果一辆车以更高的速度行驶，到达目的地所需的时间就会减少。相反，如果汽车以较低的速度行驶，所需的时间就会增加。这个关系可以用数学表示为：速度 × 时间 = 常数。在这里，速度和时间是相互呈inverse proportion（反比例）的。这意味着如果速度加倍，旅行时间就会减半，说明了inverse proportion（反比例）的本质。另一个常见的例子可以在工作和劳动力的背景中找到。假设某项任务需要特定数量的工作小时来完成。如果更多的工人被分配到任务上，完成工作的时间就会减少。这再次说明了inverse proportion（反比例）原理。如果我们有固定的工作量，工人人数和完成工作的时间是成反比的；当一个增加时，另一个减少。理解inverse proportion（反比例）不仅对解决数学问题至关重要，而且对在日常生活中做出明智的决策也很重要。例如，企业在确定定价策略时通常依赖这一原理。如果一家公司决定以较低的价格提供更多的产品，这可能会导致销售量的增加。在这里，价格和销售数量呈现出inverse proportion（反比例）：随着价格的降低，销售数量通常会增加。此外，inverse proportion（反比例）的概念在科学中也很普遍。在物理学中，气体的压力和体积之间的关系可以用波义耳定律来描述，该定律指出，当温度保持不变时，压力和体积是成inverse proportion（反比例）的。当气体的体积增加时，其压力减少，反之亦然。总之，理解inverse proportion（反比例）在数学、经济学和科学等各个领域都是至关重要的。认识到两个变量如何呈现反向关系，使个人能够有效分析情况并做出更好的决策。无论是计算旅行时间、优化商业策略，还是研究物理法则，inverse proportion（反比例）原理始终是我们分析工具中的强大工具。通过掌握这一概念，人们可以提升他们的问题解决能力，并更深刻地理解周围世界中不同现象的相互关联性。