inversely proportional

简明释义

成反比例

英英释义

例句

1.The speed of a car is inversely proportional to the time taken to travel a fixed distance.

汽车的速度与行驶固定距离所需的时间是反比关系。

2.The frequency of a wave is inversely proportional to its wavelength.

波的频率与其波长是反比关系。

3.As the temperature increases, the density of air becomes inversely proportional to its volume.

随着温度的升高，空气的密度与其体积是反比关系。

4.In physics, the intensity of light is inversely proportional to the square of the distance from the source.

在物理学中，光的强度与离光源的距离的平方是反比关系。

5.The amount of gas in a balloon is inversely proportional to the pressure inside it.

气球内气体的数量与内部压力是反比关系。

作文

In the realm of mathematics and science, the concept of being inversely proportional is fundamental to understanding various relationships between two variables. When two quantities are inversely proportional, it means that as one quantity increases, the other decreases at a consistent rate. This relationship can be represented by the equation y = k/x, where k is a constant. Such a relationship is not only prevalent in mathematical equations but also observable in everyday life.One classic example of inversely proportional relationships is found in physics, particularly in the study of gravitational force. The force of gravity between two objects is inversely proportional to the square of the distance between their centers. This means that as the distance increases, the gravitational force decreases significantly. For instance, if you double the distance between two planets, the gravitational pull they exert on each other becomes four times weaker. This principle helps us understand why celestial bodies behave the way they do in space.Another area where inversely proportional relationships are evident is in economics. Consider the relationship between supply and demand. Generally, when the supply of a product increases, its price tends to decrease, assuming demand remains constant. Conversely, if the demand for a product rises while the supply remains unchanged, the price will increase. Thus, price and demand can be seen as inversely proportional to each other in many market scenarios. This fundamental economic principle guides businesses and consumers alike in making informed decisions.In the field of chemistry, the ideal gas law illustrates another example of inversely proportional relationships. According to this law, for a given amount of gas at a constant temperature, the pressure of the gas is inversely proportional to its volume. If you compress a gas into a smaller volume, its pressure increases. This relationship is crucial for understanding how gases behave under different conditions, which has practical applications in various industries, including engineering and environmental science.Moreover, the concept of inversely proportional can also be applied in the context of time management. For instance, the more time one spends procrastinating, the less productive one becomes. If a student decides to spend hours on social media instead of studying, their grades may suffer as a result. Here, productivity can be seen as inversely proportional to the amount of time wasted on non-productive activities. This observation highlights the importance of effective time management and prioritization in achieving success.In conclusion, the idea of being inversely proportional is a powerful tool for understanding various phenomena across different fields. Whether in mathematics, physics, economics, or even personal productivity, recognizing these relationships allows us to make better predictions and decisions. By grasping the implications of inversely proportional relationships, we can navigate the complexities of the world around us with greater insight and clarity. As we continue to explore these concepts, we unlock new ways to apply them in our daily lives, ultimately enhancing our understanding of the intricate connections that govern our universe.

在数学和科学领域，反比例的概念对于理解两个变量之间的各种关系至关重要。当两个量是反比例时，这意味着当一个量增加时，另一个量以一致的速率减少。这种关系可以用方程y = k/x表示，其中k是常数。这种关系不仅在数学方程中普遍存在，而且在日常生活中也可以观察到。一个经典的反比例关系的例子可以在物理学中找到，特别是在研究引力时。两个物体之间的引力与它们中心之间距离的平方成反比例关系。这意味着随着距离的增加，引力显著减弱。例如，如果你将两颗行星之间的距离加倍，它们之间的引力将变得弱四倍。这个原理帮助我们理解天体在太空中的行为。另一个明显的反比例关系的领域是经济学。考虑供给与需求之间的关系。通常，当某一产品的供应增加时，其价格往往下降，假设需求保持不变。相反，如果一种产品的需求上升而供应保持不变，价格将会上涨。因此，在许多市场情境中，价格和需求可以被视为相互反比例的。这一基本经济原理指导着企业和消费者做出明智的决策。在化学领域，理想气体定律说明了另一个反比例关系。根据这一法则，对于一定量的气体在恒温下，气体的压力与其体积成反比例关系。如果你将气体压缩到更小的体积，其压力就会增加。这一关系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行业都有实际应用。此外，反比例的概念也可以应用于时间管理的背景中。例如，一个人越是拖延时间，就越不高效。如果一名学生决定花几个小时在社交媒体上，而不是学习，他们的成绩可能会因此受到影响。在这里，生产力可以被视为与浪费在非生产性活动上的时间呈反比例关系。这一观察强调了有效时间管理和优先排序在取得成功中的重要性。总之，反比例的思想是理解各个领域现象的强大工具。无论是在数学、物理、经济学，还是个人生产力中，识别这些关系使我们能够做出更好的预测和决策。通过掌握反比例关系的含义，我们可以更清晰地驾驭周围世界的复杂性。随着我们继续探索这些概念，我们解锁了新的方法来将其应用于我们的日常生活，最终增强了我们对支配宇宙复杂联系的理解。