conic

简明释义

英[ˈkɒnɪk]美[ˈkɑːnɪk]

adj. 圆锥的；圆锥形的

n. 圆锥截面（等于 conic section）

n. （Conic）人名；（法）科尼克

英英释义

单词用法

同义词

反义词

例句

1.This paper introduces Averaging arch area property of conic.

本文介绍圆锥曲线中平分弓形面积的一个性质。

2.But don't ask for an explanation of his elegant proof unless you are interested in conic sections.

但是不要要求对他的优雅证明的解释，除非你对圆锥截面感兴趣。

3.Third part:"Program" and "Standard" in conic partial comparisons and analysis.

第三部分：《大纲》与《标准》在圆锥曲线部分的比较与分析。

4.A study on the method of drawing conic normal lines through a given point outside the conic.

本文就过圆锥曲线外的点作其法线的方法进行研究。

5.The paper focuses on the manufacturing key technologies of new conic cycloidal gear planetary transmission's mesh parts.

论文着重对新型锥形摆线行星传动啮合副的制造关键技术进行研究。

6.A method for interpolating global curvature continuity curves with conic segments is presented in this paper.

提出利用有理二次样条曲线插值整体曲率连续的曲线的一种方法。

7.The architect designed a building with a conic 圆锥形的 roof to enhance its aesthetic appeal.

建筑师设计了一座带有圆锥形的屋顶的建筑，以增强其美学吸引力。

8.We studied the properties of conic 圆锥曲线 during our geometry class.

在几何课上，我们研究了圆锥曲线的性质。

9.The conic 圆锥形的 shape of the ice cream cone makes it easy to hold.

冰淇淋甜筒的圆锥形的形状使其易于握持。

10.In mathematics, a conic 圆锥曲线 section is formed by the intersection of a plane and a cone.

在数学中，圆锥曲线是通过平面与圆锥的交集形成的。

11.The laser beam emitted from the conic 圆锥形的 lens created a focused point of light.

从圆锥形的透镜发出的激光束产生了一个聚焦的光点。

作文

In the realm of geometry, the term conic refers to shapes that are derived from the intersection of a plane and a double-napped cone. These shapes include circles, ellipses, parabolas, and hyperbolas, each possessing unique properties and equations. Understanding conic sections is fundamental not only in mathematics but also in various fields such as physics, engineering, and computer graphics. The study of conic sections dates back to ancient civilizations, with notable contributions from Greek mathematicians like Apollonius of Perga, who systematically classified these curves. A circle, for instance, is formed when the cutting plane is perpendicular to the axis of the cone. This results in a perfectly symmetrical shape where all points are equidistant from the center. The equation of a circle can be expressed as (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. On the other hand, an ellipse occurs when the plane intersects the cone at an angle, creating a closed curve that resembles a stretched circle. The key feature of an ellipse is its two focal points, which play a crucial role in its definition. The equation for an ellipse centered at the origin is given by (x²/a²) + (y²/b²) = 1, where 'a' and 'b' represent the semi-major and semi-minor axes, respectively. Ellipses have practical applications in astronomy, as the orbits of planets around the sun are elliptical in nature. A conic section can also be a parabola, which is formed when the cutting plane is parallel to the edge of the cone. Parabolas are characterized by their U-shaped curves and have a single focal point. The standard form of a parabola's equation is y = ax² + bx + c, where 'a', 'b', and 'c' are constants. Parabolas are commonly found in real-world applications, such as satellite dishes and the trajectory of projectiles, due to their reflective properties. Lastly, hyperbolas are created when the plane intersects both nappes of the cone, resulting in two separate curves. Hyperbolas consist of two branches that open away from each other, and they also have two focal points. The standard equation of a hyperbola is (x²/a²) - (y²/b²) = 1, where 'a' and 'b' define the distance between the vertices and the center. Hyperbolas are significant in navigation and telecommunications, as they can describe the paths of certain types of wave propagation. In conclusion, the concept of conic sections is deeply intertwined with various aspects of mathematics and science. By understanding the properties and equations of circles, ellipses, parabolas, and hyperbolas, one can appreciate their importance in both theoretical and practical applications. Whether it is analyzing the motion of celestial bodies or designing efficient structures, the study of conic sections continues to be a vital area of exploration in the mathematical sciences.

在几何学领域，术语conic指的是通过平面与双锥的交集而产生的形状。这些形状包括圆、椭圆、抛物线和双曲线，每种形状都有其独特的性质和方程。理解conic截面不仅在数学上是基础，而且在物理学、工程学和计算机图形学等多个领域中也至关重要。对conic截面的研究可以追溯到古代文明，希腊数学家如阿波罗尼乌斯·佩尔加的贡献尤为显著，他系统地对这些曲线进行了分类。例如，当切割平面与锥的轴垂直时，就形成了一个圆。这会导致一个完美对称的形状，其中所有点都与中心等距。圆的方程可以表示为(x - h)² + (y - k)² = r²，其中(h, k)是中心，r是半径。另一方面，当平面以某个角度切割锥体时，会形成一个椭圆，这是一种闭合曲线，类似于拉伸的圆。椭圆的一个关键特征是它的两个焦点，这在其定义中起着至关重要的作用。以原点为中心的椭圆的方程为(x²/a²) + (y²/b²) = 1，其中'a'和'b'分别表示半长轴和半短轴。椭圆在天文学中具有实际应用，因为行星围绕太阳的轨道本质上是椭圆形的。另一个conic截面是抛物线，当切割平面与锥的边缘平行时，就会形成抛物线。抛物线的特征是其U形曲线，并且只有一个焦点。抛物线方程的标准形式为y = ax² + bx + c，其中'a'、'b'和'c'是常数。由于其反射特性，抛物线在卫星天线和抛射物轨迹等现实应用中非常常见。最后，双曲线是在平面与锥的两个锥体相交时产生的，从而导致两个分开的曲线。双曲线由两个分支组成，向外打开，它们也有两个焦点。双曲线的标准方程为(x²/a²) - (y²/b²) = 1，其中'a'和'b'定义了顶点与中心之间的距离。双曲线在导航和电信中具有重要意义，因为它们可以描述某些类型波传播的路径。总之，conic截面的概念与数学和科学的各个方面密切相关。通过理解圆、椭圆、抛物线和双曲线的性质和方程，人们可以欣赏到它们在理论和实际应用中的重要性。无论是分析天体的运动还是设计高效的结构，对conic截面的研究仍然是数学科学探索的重要领域。