directly proportional

简明释义

成正比例的

英英释义

例句

1.The amount of gas in a balloon is directly proportional to its volume, meaning that as the volume increases, the amount of gas also increases.

气球中的气体量与其体积是成正比的，这意味着随着体积的增加，气体的量也会增加。

2.In economics, demand is often directly proportional to price when other factors are constant.

在经济学中，当其他因素保持不变时，需求通常与价格是成正比的。

3.The speed of a car is directly proportional to the amount of fuel it consumes over time.

汽车的速度与其消耗的燃料量在时间上是成正比的。

4.The area of a rectangle is directly proportional to its length and width.

矩形的面积与其长度和宽度是成正比的。

5.In physics, the force applied to an object is directly proportional to the acceleration it experiences.

在物理学中，施加在物体上的力与其所经历的加速度是成正比的。

作文

In the realm of mathematics and science, we often encounter relationships that describe how one quantity affects another. One such relationship is when two quantities are said to be directly proportional. This means that as one quantity increases, the other quantity increases at a consistent rate, and similarly, if one quantity decreases, the other also decreases correspondingly. Understanding this concept is fundamental in various fields, including physics, economics, and statistics.For instance, consider the relationship between distance and time for an object moving at a constant speed. If a car travels at a speed of 60 kilometers per hour, the distance covered is directly proportional to the time spent traveling. If the car travels for 1 hour, it covers 60 kilometers. If it travels for 2 hours, it covers 120 kilometers. The relationship can be expressed mathematically as Distance = Speed × Time. Here, if we double the time, the distance also doubles, illustrating the principle of directly proportional.This concept is not only limited to physical movements but also applies to financial contexts. For example, if you earn a salary that is directly proportional to the number of hours you work, then working more hours means earning more money. If your hourly wage is $20, then working 10 hours will earn you $200, while working 20 hours will earn you $400. This clear linear relationship exemplifies how earnings are directly proportional to hours worked.Moreover, the idea of directly proportional relationships extends into the world of science, particularly in chemistry. When studying gas laws, for instance, the volume of a gas is directly proportional to its temperature when pressure is held constant. This relationship is described by Charles's Law, which states that if the temperature of a gas increases, its volume will also increase, provided the pressure remains unchanged. This principle is crucial for understanding how gases behave under different conditions and is widely applied in various scientific experiments.In addition to these examples, the concept of directly proportional relationships can also be observed in everyday life. For instance, when cooking, the amount of ingredients used can be directly proportional to the number of servings you wish to prepare. If a recipe calls for 2 cups of flour to make 4 servings, then to make 8 servings, you would need 4 cups of flour. This straightforward relationship helps in scaling recipes up or down, ensuring that the final dish maintains its intended flavor and texture.Understanding the principle of directly proportional is essential because it allows us to predict outcomes based on changes in one variable. It also helps in developing critical thinking and problem-solving skills. By recognizing patterns and relationships in data, we can make informed decisions in various aspects of life, from budgeting finances to planning scientific experiments.In conclusion, the concept of directly proportional relationships is a powerful tool in both theoretical and practical applications. Whether in mathematics, science, or daily activities, recognizing how quantities relate to one another can enhance our understanding and ability to navigate the world around us. Mastering this concept not only aids in academic pursuits but also enriches our everyday experiences, making us more adept at analyzing situations and making sound decisions.

在数学和科学领域，我们经常会遇到描述一个量如何影响另一个量的关系。其中一种关系是两个量被称为正比。这意味着当一个量增加时，另一个量以一致的速度增加；同样地，如果一个量减少，另一个量也相应地减少。理解这一概念在物理、经济学和统计学等多个领域都是基础。例如，考虑一个以恒定速度移动的物体的距离与时间之间的关系。如果一辆车以每小时60公里的速度行驶，则所覆盖的距离与旅行的时间是正比的。如果汽车行驶1小时，它将覆盖60公里。如果它行驶2小时，它将覆盖120公里。这个关系可以用数学表达为：距离 = 速度 × 时间。在这里，如果我们将时间加倍，距离也会加倍，说明了正比的原则。这一概念不仅限于物理运动，也适用于金融环境。例如，如果你赚取的薪水与工作小时数正比，那么工作更多的小时意味着赚更多的钱。如果你的时薪是20美元，那么工作10小时将赚200美元，而工作20小时将赚400美元。这种明确的线性关系例证了收入与工作小时数之间的正比关系。此外，正比关系的思想还扩展到科学界，特别是在化学中。当研究气体法则时，例如，在压力保持不变的情况下，气体的体积与其温度是正比的。这种关系由查尔斯定律描述，该定律指出，当气体的温度升高时，其体积也会增加，只要压力保持不变。这个原则对于理解气体在不同条件下的行为至关重要，并广泛应用于各种科学实验中。除了这些例子，正比关系的概念也可以在日常生活中观察到。例如，在烹饪时，所用原料的数量可以与您希望准备的份数正比。如果一个食谱需要2杯面粉来制作4份，那么制作8份时，您需要4杯面粉。这种简单的关系有助于调整食谱的份量，确保最终菜肴保持预期的风味和口感。理解正比的原则是至关重要的，因为它使我们能够根据一个变量的变化预测结果。它还有助于培养批判性思维和解决问题的能力。通过识别数据中的模式和关系，我们可以在生活的各个方面做出明智的决定，从预算财务到规划科学实验。总之，正比关系的概念是理论和实践应用中的强大工具。无论是在数学、科学还是日常活动中，认识到数量之间的关系可以增强我们理解和应对周围世界的能力。掌握这一概念不仅有助于学术追求，还丰富了我们的日常体验，使我们在分析情况和做出合理决策时更加熟练。