direct proportionality
简明释义
正比例
英英释义
例句
1.The speed of a car is in direct proportionality with the amount of fuel it consumes, meaning more fuel leads to faster speeds.
汽车的速度与它消耗的燃料量呈直接成比例,这意味着更多的燃料会导致更快的速度。
2.The cost of ingredients is in direct proportionality to the number of dishes prepared in a restaurant.
在餐厅中,食材的成本与准备的菜肴数量呈直接成比例。
3.In a business, profit is often in direct proportionality to sales; higher sales typically result in higher profits.
在一家企业中,利润通常与销售额呈直接成比例;更高的销售额通常会导致更高的利润。
4.The area of a rectangle is in direct proportionality to its length and width; increasing either dimension increases the area.
矩形的面积与其长度和宽度呈直接成比例;增加任一维度都会增加面积。
5.In physics, the force applied to an object is in direct proportionality to its acceleration, as described by Newton's second law.
在物理学中,施加在物体上的力与其加速度呈直接成比例,这是牛顿第二定律所描述的。
作文
In the realm of mathematics and science, the concept of direct proportionality is fundamental. It describes a relationship between two quantities where an increase in one quantity results in a proportional increase in the other. For instance, if we consider the relationship between distance and time when traveling at a constant speed, we can see that as time increases, the distance traveled also increases in a linear fashion. This is a classic example of direct proportionality (直接正比). To illustrate this further, let’s take a simple scenario involving a car traveling on a straight road. If a car moves at a speed of 60 kilometers per hour, then in one hour, it will cover 60 kilometers. If we double the time to two hours, the distance covered will be 120 kilometers. Here, we can observe that the relationship between time and distance is directly proportional; when time increases, distance increases proportionally. The mathematical representation of this relationship can be expressed as: Distance = Speed × Time. In this equation, speed is a constant, and thus, any change in time results in a corresponding change in distance, demonstrating direct proportionality (直接正比).Another area where direct proportionality plays a crucial role is in physics, especially when discussing concepts like force and acceleration. According to Newton's second law of motion, force is equal to mass times acceleration (F = m × a). In this case, if the mass remains constant and we increase the acceleration, the force will also increase proportionally. This relationship again exemplifies direct proportionality (直接正比) because any change in acceleration directly affects the force exerted on an object.Understanding direct proportionality (直接正比) is not only essential for academic purposes but also has practical applications in everyday life. For example, when shopping, if the price of an item is $10 each, then buying two items will cost $20. The total cost is directly proportional to the number of items purchased. This principle can help consumers make informed decisions based on their budgets and the quantities they wish to buy.Moreover, businesses often rely on the concept of direct proportionality (直接正比) when determining pricing strategies or analyzing sales data. If a company finds that increasing advertising expenditure leads to a proportional increase in sales, they can use this information to allocate resources more effectively. By understanding how different factors relate to one another through direct proportionality (直接正比), businesses can optimize their operations and enhance profitability.In conclusion, the principle of direct proportionality (直接正比) is integral to various fields, including mathematics, physics, economics, and daily life. It provides a clear framework for understanding how changes in one quantity affect another, allowing individuals and organizations to make better decisions based on logical reasoning and empirical evidence. As we continue to explore the world around us, recognizing and applying the concept of direct proportionality (直接正比) will undoubtedly aid in our comprehension of complex relationships and enhance our problem-solving skills.
相关单词