reciprocal proportion

简明释义

反比例

英英释义

例句

1.In physics, the force and distance are in reciprocal proportion 相互比例 when dealing with work done.

在物理学中，当处理完成的工作时，力和距离是以相互比例 reciprocal proportion 关系的。

2.When calculating interest, the principal and time are in reciprocal proportion 相互比例 to the rate of interest.

在计算利息时，本金和时间与利率之间是以相互比例 reciprocal proportion 关系的。

3.The lengths of two sides of a triangle are in reciprocal proportion 相互比例 to their corresponding angles.

三角形的两边长度与其对应角度之间是以相互比例 reciprocal proportion 关系的。

4.In a chemical reaction, the amount of reactants and products are often in reciprocal proportion 相互比例 to each other.

在化学反应中，反应物和产品的量通常是以相互比例 reciprocal proportion 关系存在的。

5.The speed of two vehicles is in reciprocal proportion 相互比例 to the time taken to cover the same distance.

两辆车的速度与所需时间之间是以相互比例 reciprocal proportion 关系的。

作文

In the world of mathematics, certain concepts are fundamental to understanding relationships between numbers. One such concept is the idea of reciprocal proportion, which refers to a relationship where two quantities are inversely related to each other. When 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 has practical implications in various fields such as physics, economics, and even everyday life.To illustrate this concept, consider the relationship between speed and time when traveling a fixed distance. If you are driving a car and you increase your speed, the time it takes to reach your destination decreases. Conversely, if you reduce your speed, the time required to cover the same distance increases. In this scenario, speed and time are in reciprocal proportion. Mathematically, this can be expressed as: Speed × Time = Constant Distance. This equation highlights how these two variables interact with each other.In physics, the concept of reciprocal proportion is evident in the relationship between pressure and volume in gases, as described by Boyle's Law. According to this law, for a given mass of gas at constant temperature, 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. Here again, we see how the two quantities are connected through their reciprocal proportion.Economics also provides numerous examples of reciprocal proportion. For instance, in the context of supply and demand, as the price of a product increases, the quantity demanded typically decreases, assuming all other factors remain constant. This inverse relationship can be illustrated using a demand curve, where price and quantity demanded are in reciprocal proportion. Understanding this relationship is crucial for businesses and policymakers when making decisions about pricing strategies and market regulations.Furthermore, in everyday life, we often encounter situations that exemplify reciprocal proportion. For example, consider the relationship between the amount of time spent studying and the grades achieved in school. Generally, the more time a student dedicates to studying, the better their grades will be. However, if a student becomes overwhelmed and spends too much time studying without effective strategies, their performance may decline. In this case, there is a delicate balance between time and effectiveness, which can demonstrate an aspect of reciprocal proportion.In conclusion, the concept of reciprocal proportion is a powerful tool for understanding the relationships between various quantities in mathematics, science, economics, and daily life. By recognizing how different variables interact with each other in this way, we can make more informed decisions and predictions. Whether we are analyzing data, solving problems, or simply navigating our day-to-day activities, grasping the essence of reciprocal proportion can enhance our comprehension of the world around us and improve our analytical skills.

在数学的世界里，某些概念是理解数字之间关系的基础。其中一个概念是倒数比例，它指的是两个数量之间的关系，其中一个数量与另一个数量呈反比。当一个数量增加时，另一个数量以保持它们的乘积不变的方式减少。这个原则不仅适用于数学，在物理学、经济学甚至日常生活中也有实际意义。为了说明这个概念，考虑一下在固定距离内旅行时速度和时间之间的关系。如果你开车，增加你的速度，那么到达目的地所需的时间就会减少。相反，如果你降低速度，那么覆盖相同距离所需的时间就会增加。在这个场景中，速度和时间处于倒数比例关系中。从数学上讲，这可以表示为：速度 × 时间 = 固定距离。这个方程突显了这两个变量之间的相互作用。在物理学中，倒数比例的概念在气体的压力和体积之间的关系中显而易见，这由波义尔定律描述。根据这一法则，对于一定质量的气体在恒定温度下，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。在这里，我们再次看到这两个数量通过它们的倒数比例相互联系。经济学也提供了许多倒数比例的例子。例如，在供求关系的背景下，当一种产品的价格上涨时，需求量通常会下降，假设其他所有因素保持不变。这个反向关系可以通过需求曲线来说明，其中价格和需求量处于倒数比例关系中。理解这种关系对于企业和政策制定者在制定定价策略和市场监管决策时至关重要。此外，在日常生活中，我们经常遇到体现倒数比例的情况。例如，考虑学习时间与学校成绩之间的关系。通常情况下，学生花费更多时间学习，成绩会更好。然而，如果学生感到不堪重负，并且花费过多时间学习而没有有效的策略，他们的表现可能会下降。在这种情况下，时间和有效性之间存在微妙的平衡，这可以展示倒数比例的一个方面。总之，倒数比例的概念是理解数学、科学、经济和日常生活中各种数量之间关系的强大工具。通过认识到不同变量之间以这种方式相互作用，我们可以做出更明智的决策和预测。无论我们是在分析数据、解决问题，还是简单地导航我们的日常活动，掌握倒数比例的本质都可以增强我们对周围世界的理解，并提高我们的分析能力。