mean proportional

简明释义

比例中项

英英释义

例句

1.In a right triangle, the length of the altitude to the hypotenuse is the mean proportional 几何平均数 of the segments it divides the hypotenuse into.

在直角三角形中，垂直于斜边的高度是斜边所分割的两段的mean proportional 几何平均数。

2.The mean proportional 几何平均数 is often used in design to maintain proportions.

在设计中，mean proportional 几何平均数 常常用于保持比例。

3.If you have two sides of a rectangle, the mean proportional 几何平均数 can help determine the optimal dimensions for aesthetics.

如果你有一个矩形的两条边，mean proportional 几何平均数 可以帮助确定最佳的美学尺寸。

4.To find the mean proportional 几何平均数 between two numbers, you can use the formula √(a*b).

要找到两个数之间的mean proportional 几何平均数，你可以使用公式√(a*b)。

5.In photography, the mean proportional 几何平均数 helps achieve balanced compositions.

在摄影中，mean proportional 几何平均数 有助于实现平衡的构图。

作文

The concept of the mean proportional is often encountered in mathematics, particularly in geometry and algebra. To understand it better, let’s explore its definition and applications in various contexts. The mean proportional, also known as the geometric mean, is defined as the square root of the product of two numbers. This mathematical concept can be represented using the formula: if 'a' and 'b' are two positive numbers, then the mean proportional between them is given by √(a * b). This means that if we have two segments of lengths 'a' and 'b', the length of the segment that represents the mean proportional will be the value that maintains the proportional relationship between these two segments.In practical terms, the mean proportional has significant implications in various fields, including architecture, art, and nature. For instance, in architecture, the use of the mean proportional can be seen in the design of buildings and structures where proportions are crucial for aesthetic appeal and structural integrity. The Parthenon in Athens is a classic example where the mean proportional was utilized to create harmonious proportions that have stood the test of time.Similarly, artists throughout history have employed the mean proportional to achieve balance and beauty in their works. The famous painter Leonardo da Vinci used the principles of proportion, including the mean proportional, in his masterpieces. The human figure, as depicted in his works, often follows these proportional guidelines, which contribute to the lifelike quality of his art.Moreover, nature itself exhibits numerous instances of the mean proportional. The arrangement of leaves around a stem, known as phyllotaxis, often follows a pattern that can be explained using the mean proportional. This natural occurrence not only showcases the beauty of mathematics in nature but also emphasizes the importance of proportional relationships in living organisms.In addition to its aesthetic applications, the mean proportional also plays a crucial role in statistics and data analysis. For example, when comparing two sets of data, the geometric mean can provide a more accurate measure of central tendency, especially when dealing with skewed distributions. It is less affected by extreme values compared to the arithmetic mean, making it a valuable tool for researchers and analysts.Furthermore, the mean proportional is essential in finance and economics. In investment analysis, the geometric mean is often used to calculate average rates of return over time, providing a clearer picture of an investment's performance compared to other methods. Investors rely on this measure to make informed decisions and to assess the risk and return associated with different investment options.In conclusion, the mean proportional is a fundamental concept that transcends mere numbers; it embodies a principle of balance and harmony that is evident in various domains of life. Whether in art, architecture, nature, or data analysis, understanding the mean proportional allows us to appreciate the underlying connections that govern our world. As we continue to explore the depths of mathematics and its applications, the significance of the mean proportional remains a testament to the intricate relationship between numbers and the reality we experience.

“均值比例”这一概念在数学中经常出现，特别是在几何和代数中。为了更好地理解它，让我们探讨其定义及在各种背景下的应用。“均值比例”，也称为几何平均数，是两个数的乘积的平方根。这个数学概念可以用公式表示：如果'a'和'b'是两个正数，则它们之间的“均值比例”由√(a * b)给出。这意味着，如果我们有两段长度为'a'和'b'的线段，代表“均值比例”的线段长度将是保持这两段之间比例关系的值。在实际应用中，“均值比例”在建筑、艺术和自然等多个领域具有重要意义。例如，在建筑中，“均值比例”的使用可以在设计建筑和结构中看到，这里的比例对于美观和结构完整性至关重要。雅典的帕台农神庙就是一个经典的例子，它利用了“均值比例”来创造和谐的比例，这些比例经受住了时间的考验。同样，历史上的艺术家们也利用“均值比例”来实现他们作品中的平衡和美感。著名画家列奥纳多·达·芬奇在他的杰作中使用了比例的原则，包括“均值比例”。他作品中描绘的人体往往遵循这些比例准则，这为他的艺术作品增添了栩栩如生的质量。此外，自然界本身也展现了许多“均值比例”的实例。叶子围绕茎的排列，即叶序，通常遵循一种可以用“均值比例”解释的模式。这种自然现象不仅展示了数学在自然界中的美丽，也强调了比例关系在生物体中的重要性。除了其美学应用外，“均值比例”在统计和数据分析中也发挥着关键作用。例如，在比较两组数据时，几何平均数可以提供一个更准确的集中趋势度量，尤其是在处理偏态分布时。与算术平均数相比，它不易受到极端值的影响，使其成为研究人员和分析师的宝贵工具。此外，“均值比例”在金融和经济中也是必不可少的。在投资分析中，几何平均数常用于计算随时间变化的平均收益率，提供比其他方法更清晰的投资表现图景。投资者依赖这一指标来做出明智的决策，并评估与不同投资选项相关的风险和回报。总之，“均值比例”是一个基本概念，它超越了单纯的数字；它体现了一种平衡与和谐的原则，这在生活的各个领域都显而易见。无论是在艺术、建筑、自然还是数据分析中，理解“均值比例”使我们能够欣赏支配我们世界的基本联系。当我们继续探索数学及其应用的深度时，“均值比例”的重要性仍然是数字与我们所经历现实之间复杂关系的证明。