coplanar

简明释义

英[kəʊˈpleɪnə(r)]美[koʊˈpleɪnər]

adj. [数] 共面的

英英释义

单词用法

同义词

反义词

例句

1.Finally, the coplanar stripline on-chip is successfully used in the design of the high-speed IC's, and some measured results are also given.

成功地将共面线应用在深亚微米高速集成电路的设计中，并给出了放大器芯片和共面线的测试结果。

2.So it is a good choice for seeker conformal array using elements fed by coplanar waveguide.

因此，将共面波导馈电的天线单元应用于导引头共形阵列天线中是一个很好的选择。

3.In this chip, inductors are realized with microstrips or grounded coplanar waveguides according to their actual position, so the chip's area is reduced.

选用微带线和衬底接地的共面波导等不同结构的电感实现形式，充分利用了芯片面积。

4.Since X - corners coplanar, a plane - to - plane transform is introduced and rough location of X - corners is realized.

利用棋盘格角点共面特点，将平面到平面的变换引入到角点检测中，实现了角点的自动粗定位。

5.The coplanar waveguide on the substrate with finite dimensions is a physical model which is very closed to the engineering situation.

有限尺寸介质基片上的共面波导是一种非常接近于工程应用状态的物理模型。

6.The stress intensity factors of multitudinous arbitrarily distributed coplanar surface cracks are solved by using the line - spring model.

采用线弹簧模型求解多个共面任意分布表面裂纹的应力强度因子。

7.The engineer ensured that all structural elements were coplanar to maintain stability.

工程师确保所有结构元素都是共面的以保持稳定性。

8.When designing the layout, the architect needed to verify that the walls were coplanar.

在设计布局时，建筑师需要验证墙壁是否共面。

9.In geometry, three points are said to be coplanar if they lie on the same plane.

在几何中，如果三个点位于同一平面上，则称它们是共面的。

10.The computer program can detect if the points are coplanar in a 3D space.

计算机程序可以检测点在三维空间中是否是共面的。

11.If the lines are coplanar, they will intersect at some point.

如果这些线是共面的，它们将在某一点相交。

作文

In the world of geometry, the concept of points, lines, and planes is fundamental. One important term that often comes up in this context is coplanar, which refers to points or lines that lie within the same plane. Understanding this concept is crucial for anyone studying geometry, as it forms the basis for more complex ideas and theorems. In this essay, I will explore the definition of coplanar points and lines, provide examples to illustrate the concept, and discuss its significance in various fields such as architecture and engineering.To begin with, let us define what it means for points to be coplanar. When we say that three or more points are coplanar, we mean that they can all be found on the same flat surface, or plane. For instance, if you imagine a piece of paper, any three dots drawn on that paper are coplanar because they exist on the same two-dimensional surface. However, if you were to take one of those dots and raise it above the paper, it would no longer be coplanar with the other two dots. This illustrates how the position of points in relation to a plane determines their coplanarity.Now, let’s consider lines. Two lines are said to be coplanar if they lie on the same plane. For example, imagine two lines drawn on a whiteboard. As long as both lines remain on the board’s surface, they are coplanar. However, if one line is drawn on the board and the other is drawn in the air, they are not coplanar. This distinction is essential when analyzing geometric shapes and their properties.The significance of understanding coplanar relationships extends beyond theoretical geometry. In fields like architecture, engineers must consider the coplanarity of various structural elements to ensure stability and safety. For instance, when designing a building, architects must ensure that the beams and columns are coplanar to distribute weight evenly. If these elements are not properly aligned, it could lead to structural failure.In addition, the concept of coplanar is also vital in computer graphics and modeling. When creating 3D models, designers often need to ensure that certain vertices are coplanar to maintain the visual integrity of the object. For example, if a designer is creating a flat surface, all the vertices defining that surface must be coplanar to avoid distortions that could make the model look unrealistic.Furthermore, in physics, the idea of coplanar forces is crucial when analyzing the motion of objects. When multiple forces act on an object, they must be considered coplanar if they lie in the same plane. This allows physicists to simplify calculations and predict the resulting motion of the object accurately.In conclusion, the term coplanar is an essential concept in geometry that describes the relationship between points and lines within the same plane. Its applications are vast, spanning architecture, engineering, computer graphics, and physics. Understanding coplanarity helps us comprehend the spatial relationships in our world and is foundational for further studies in mathematics and science. By grasping this concept, students and professionals alike can apply it effectively in various practical scenarios, leading to better designs, safer structures, and a deeper understanding of the physical universe.

在几何学的世界中，点、线和平面的概念是基础。一个经常出现的重要术语是共面的，它指的是位于同一平面上的点或线。理解这个概念对任何学习几何的人来说都是至关重要的，因为它构成了更复杂的思想和定理的基础。在这篇文章中，我将探讨共面点和线的定义，提供例子来说明这一概念，并讨论它在建筑和工程等各个领域的重要性。首先，让我们定义一下点共面的含义。当我们说三个或更多点是共面的时，我们的意思是它们都可以在同一平面上找到。例如，如果你想象一张纸，上面画的任何三个点都是共面的，因为它们存在于同一二维表面上。然而，如果你把其中一个点抬高到纸面上方，它就不再与其他两个点共面。这说明了点相对于平面的定位如何决定它们的共面性。现在，让我们考虑线。如果两条线位于同一平面上，则称它们为共面的。例如，想象一下在白板上画的两条线。只要这两条线保持在板的表面上，它们就是共面的。然而，如果一条线在板上画，而另一条线在空中画，它们就不是共面的。这种区分在分析几何形状及其属性时至关重要。理解共面关系的重要性超越了理论几何。在建筑等领域，工程师必须考虑各种结构元素的共面性以确保稳定性和安全性。例如，在设计建筑物时，建筑师必须确保梁和柱是共面的，以均匀分布重量。如果这些元素没有正确对齐，可能会导致结构失效。此外，共面的概念在计算机图形学和建模中也至关重要。在创建3D模型时，设计师通常需要确保某些顶点是共面的，以保持对象的视觉完整性。例如，如果设计师正在创建一个平面表面，则定义该表面的所有顶点必须是共面的，以避免使模型看起来不真实的畸变。此外，在物理学中，当分析物体的运动时，共面力的概念至关重要。当多个力量作用于一个物体时，如果它们位于同一平面上，则必须将它们视为共面的。这使得物理学家能够简化计算，并准确预测物体的运动结果。总之，术语共面是几何学中的一个基本概念，描述了同一平面内点和线之间的关系。它的应用范围广泛，涵盖建筑、工程、计算机图形学和物理学。理解共面性帮助我们理解我们世界中的空间关系，是数学和科学进一步研究的基础。通过掌握这一概念，学生和专业人士可以在各种实际场景中有效地应用它，从而带来更好的设计、更安全的结构以及对物理宇宙更深入的理解。