double altitude

简明释义

近午)等高度

英英释义

例句

1.The research showed that flying at double altitude increases visibility.

研究表明，在双倍高度飞行可以增加能见度。

2.The pilot decided to fly at a double altitude to avoid bad weather.

飞行员决定以双倍高度飞行，以避开恶劣天气。

3.In our simulation, we tested the aircraft's performance at double altitude compared to standard levels.

在我们的模拟中，我们测试了飞机在标准高度的双倍高度下的性能。

4.Climbing to double altitude can significantly reduce fuel consumption.

爬升到双倍高度可以显著减少燃料消耗。

5.For safety reasons, the drone was programmed to maintain a double altitude above the ground.

出于安全原因，无人机被编程为在地面上保持双倍高度。

作文

In the realm of geometry, particularly in the study of triangles, the concept of altitude plays a crucial role. The altitude of a triangle is a perpendicular line segment from a vertex to the line containing the opposite side. This measurement is essential for calculating the area of the triangle. However, when we discuss the term double altitude, we delve into a more complex understanding of this geometric principle. The term double altitude refers to a scenario where the altitude is considered in relation to two different bases of a triangle or in a situation where the altitude is effectively doubled for certain calculations. This can be particularly useful in various mathematical applications, including optimization problems and in the derivation of formulas related to triangle properties.To illustrate this concept, consider a triangle with vertices A, B, and C. The altitude from vertex A to side BC is denoted as h. If we were to calculate the area of triangle ABC using this altitude, the formula would be: Area = (1/2) * base * height = (1/2) * BC * h. Now, if we introduce the idea of double altitude, we might analyze a scenario where we are interested in comparing two triangles that share the same base but have different heights. For instance, if we have another triangle ABD with the same base BD as triangle ABC, but with an altitude from point A' that is twice the height of h, we could say that the new altitude is double altitude of the original triangle's height.This comparison not only helps in understanding the relationships between different triangles but also aids in visualizing how changes in altitude affect the area and other properties of triangles. Furthermore, the concept of double altitude can extend beyond simple triangles. In three-dimensional geometry, for example, the altitude can refer to the height of a pyramid or cone. When we talk about double altitude in this context, we may be referring to a situation where we analyze the volume or surface area of such shapes with respect to their altitudinal measurements.Mathematically, the application of double altitude can lead to interesting results when evaluating the properties of similar figures. Similar triangles maintain a constant ratio of corresponding sides, and thus, if one triangle has an altitude that is double altitude of another, the area will increase by a factor of four, since area is proportional to the square of the height. This relationship showcases the importance of understanding how changes in altitude impact overall measurements in geometry.In conclusion, the term double altitude encapsulates a significant aspect of geometric analysis. By recognizing how altitude functions in various contexts—whether in simple triangles or more complex three-dimensional shapes—we can better appreciate the intricacies of geometric relationships. The exploration of double altitude not only enhances our mathematical skills but also deepens our understanding of spatial reasoning and geometric principles. As we continue to study these concepts, it becomes clear that altitude, and its variations, is a fundamental element in the world of mathematics that warrants further investigation and application.

在几何学的领域，尤其是在三角形的研究中，高度的概念起着至关重要的作用。三角形的高度是从一个顶点到包含对边的线段的垂直线段。这个测量对于计算三角形的面积至关重要。然而，当我们讨论术语double altitude时，我们深入了解这一几何原理的更复杂的理解。术语double altitude指的是一个场景，其中高度与三角形的两个不同底边相关，或者在某些计算中高度有效地加倍。这在各种数学应用中非常有用，包括优化问题以及与三角形属性相关的公式的推导。为了说明这一概念，考虑一个具有顶点A、B和C的三角形。顶点A到边BC的高度记作h。如果我们使用这个高度计算三角形ABC的面积，公式将是：面积 = (1/2) * 底 * 高 = (1/2) * BC * h。现在，如果我们引入double altitude的想法，我们可能会分析一个场景，在这个场景中，我们对共享相同底边但高度不同的两个三角形感兴趣。例如，如果我们有另一个三角形ABD，其底边BD与三角形ABC相同，但从点A'到BD的高度是h的两倍，我们可以说新的高度是原始三角形高度的double altitude。这种比较不仅有助于理解不同三角形之间的关系，还帮助我们可视化高度的变化如何影响三角形的面积和其他性质。此外，double altitude的概念可以扩展到简单三角形之外。在三维几何中，例如，高度可以指金字塔或圆锥的高度。当我们在这种情况下谈论double altitude时，我们可能指的是分析这些形状的体积或表面积与其高度测量相关的情况。在数学上，double altitude的应用在评估相似图形的属性时可以导致有趣的结果。相似三角形保持对应边的恒定比率，因此，如果一个三角形的高度是另一个的double altitude，则面积将增加四倍，因为面积与高度的平方成正比。这种关系展示了理解高度变化如何影响几何中的整体测量的重要性。总之，术语double altitude概括了几何分析的一个重要方面。通过认识到高度在各种背景下的功能——无论是在简单的三角形中还是在更复杂的三维形状中——我们可以更好地欣赏几何关系的复杂性。对double altitude的探索不仅增强了我们的数学技能，还加深了我们对空间推理和几何原理的理解。随着我们继续研究这些概念，显然，高度及其变体是数学世界中的一个基本元素，值得进一步的研究和应用。