curved surface

简明释义

曲面

英英释义

例句

1.The glass dome features a curved surface that allows natural light to flood the interior.

这个玻璃穹顶具有一个曲面，可以让自然光洒满内部。

2.In mathematics, we often study the properties of shapes with a curved surface like spheres and cylinders.

在数学中，我们经常研究具有曲面的形状的性质，比如球体和圆柱体。

3.The artist used a curved surface to create a dynamic sculpture that draws the viewer in.

艺术家使用了一个曲面来创作一件动态雕塑，吸引观众的目光。

4.The architect designed a building with a stunning curved surface that reflects light beautifully.

建筑师设计了一座拥有惊艳的曲面，能够美丽地反射光线。

5.When designing the car, engineers focused on aerodynamics, ensuring the body had a smooth curved surface.

在设计汽车时，工程师们专注于空气动力学，确保车身具有光滑的曲面。

作文

In the realm of geometry, the concept of a curved surface is essential for understanding various shapes and forms. A curved surface can be defined as a surface that is not flat but instead has a continuous bend or curve. This characteristic distinguishes it from planar surfaces, which are entirely flat and can be described using two-dimensional coordinates. Examples of curved surfaces include spheres, cylinders, and cones, each exhibiting unique properties that are crucial in both mathematics and real-world applications.One of the most common examples of a curved surface is a sphere. A sphere is defined as the set of all points in three-dimensional space that are equidistant from a central point. The curved surface of a sphere is smooth and uniform, making it an ideal shape for objects like balls and globes. The mathematical study of spheres involves calculating their surface area and volume, which are given by the formulas 4πr² and (4/3)πr³, respectively, where r is the radius of the sphere. Understanding the properties of a sphere's curved surface is vital in fields such as physics, engineering, and architecture.Another example of a curved surface is a cylinder. A cylinder consists of two parallel circular bases connected by a curved surface. The curved surface of a cylinder can be visualized by imagining a rectangle wrapped around the circular bases. The surface area of a cylinder can be calculated using the formula 2πrh + 2πr², where h is the height and r is the radius. Cylinders are prevalent in everyday life, from cans of soda to pipes, and understanding their curved surfaces helps in designing and utilizing these objects effectively.Cones also feature a curved surface, which connects a circular base to a single apex point. The curved surface of a cone can be thought of as a sector of a circle that has been rolled into a three-dimensional shape. The surface area of a cone is calculated using the formula πr(r + l), where r is the radius of the base and l is the slant height. Cones are commonly found in items such as traffic cones and party hats, highlighting the importance of understanding their curved surfaces in various contexts.The significance of curved surfaces extends beyond mere shapes; they play a crucial role in advanced scientific concepts. For instance, in physics, the curved surfaces of objects can impact how they interact with forces such as gravity and friction. In architecture, the aesthetics and functionality of buildings often rely on the incorporation of curved surfaces, creating visually appealing structures that can withstand environmental pressures.In conclusion, the concept of a curved surface is fundamental in the study of geometry and has practical implications across numerous disciplines. From spheres and cylinders to cones, each shape offers unique characteristics that contribute to our understanding of the world around us. By mastering the concept of curved surfaces, we can better appreciate the beauty and complexity of both mathematical theory and real-life applications.

在几何学的领域中，曲面的概念对于理解各种形状和形式至关重要。曲面可以定义为一种不平坦但具有连续弯曲或曲线的表面。这一特征将其与完全平坦的平面表面区分开来，后者可以用二维坐标描述。曲面的例子包括球体、圆柱体和圆锥体，每种形状都具有独特的属性，这些属性在数学和现实应用中都是至关重要的。最常见的曲面示例之一是球体。球体被定义为三维空间中所有与中心点等距的点的集合。球体的曲面是光滑且均匀的，使其成为球和地球仪等物体的理想形状。球体的数学研究涉及计算其表面积和体积，这分别由公式4πr²和(4/3)πr³给出，其中r是球体的半径。理解球体的曲面性质在物理学、工程学和建筑学等领域至关重要。另一个曲面的例子是圆柱体。圆柱体由两个平行的圆形底面连接而成，其间有一个曲面。圆柱体的曲面可以通过想象一个矩形包裹在圆形底面周围来可视化。圆柱体的表面积可以使用公式2πrh + 2πr²计算，其中h是高度，r是半径。圆柱体在日常生活中很常见，从苏打水罐到管道，理解它们的曲面有助于有效设计和利用这些物体。圆锥体也具有曲面，该曲面将圆形底面连接到单个顶点。圆锥体的曲面可以被视为一个圆的扇形卷成三维形状。圆锥体的表面积使用公式πr(r + l)计算，其中r是底面的半径，l是斜高。圆锥体常见于交通锥和派对帽等物品中，突显了理解它们的曲面在各种背景下的重要性。曲面的重要性不仅限于形状；它们在高级科学概念中也发挥着关键作用。例如，在物理学中，物体的曲面可能影响它们与重力和摩擦等力的相互作用。在建筑学中，建筑的美学和功能通常依赖于融入曲面，创造出既美观又能承受环境压力的结构。总之，曲面的概念在几何学的研究中是基础，并在多个学科中具有实际意义。从球体和圆柱体到圆锥体，每种形状都提供了独特的特征，有助于我们理解周围的世界。通过掌握曲面的概念，我们可以更好地欣赏数学理论和现实应用的美丽与复杂性。