parabola

简明释义

英[pəˈræbələ]美[pəˈræbələ]

n. 抛物线

英英释义

单词用法

同义词

反义词

例句

1.This is a parabola, so it's completely symmetric about the vertical, about p.

这是个抛物线，因此关于P点轴对称。

2.So, we have a parabola going downwards in one direction, upwards in the other one.

得到的是在一个方向上开口向下，而在另外的一个方向开口向上的抛物线。

3.If there were no drag, then this, of course, would be a parabola, and the horizontal velocity would always be the same.

如果没有阻力，这应该是个抛物线，水平速度，也应该一样。

4.Such a parabola for the lowest point of people buy a house, buy a house of course, is the most appropriate time.

这样一个抛物线的最低点的人买房子，买房子当然是最合适的时间。

5.It's a second-order equation in x, and is a parabola and a parabola has this shape.

这是一个x的二次方程，也是一个抛物线方程式,抛物线都长这样。

6.The number of calibration curve: apparatus can store 9 calibration curve, 5 for one line, 4 for binomial parabola.

校正曲线数：仪器可存储9条标定曲线，5条为一元一次直线，4条为二项式抛物线。

7.It's a parabola pointing downwards, and starting at one.

那是起点在1且开口向下的抛物线。

8.Life is like a parabola, the apex of the lucky, often is the beginning of doom.

人生就像一条抛物线，幸运的顶点，往往也是厄运的开端。

9.In mathematics, a parabola is defined as the set of all points equidistant from a point and a line.

在数学中，抛物线被定义为与一个点和一条线等距的所有点的集合。

10.The trajectory of a thrown ball follows a parabola.

扔出的球的轨迹遵循一个抛物线。

11.The path of the water from the fountain creates a beautiful parabola in the air.

喷泉水流的路径在空中形成一个美丽的抛物线。

12.The design of the satellite dish utilizes a parabola to focus signals.

卫星天线的设计利用了抛物线来聚焦信号。

13.When graphing quadratic equations, the result is always a parabola.

绘制二次方程时，结果总是一个抛物线。

作文

In mathematics, the term parabola refers to a specific type of curve that is defined as the set of all points in a plane that are equidistant from a fixed point, known as the focus, and a fixed straight line, known as the directrix. This elegant shape appears frequently in various fields such as physics, engineering, and even art. Understanding the properties and applications of a parabola can enhance our comprehension of the world around us.The standard equation of a parabola that opens upwards or downwards is given by the formula y = ax² + bx + c, where 'a', 'b', and 'c' are constants. The value of 'a' determines the direction in which the parabola opens; if 'a' is positive, the parabola opens upwards, and if 'a' is negative, it opens downwards. The vertex of the parabola, which is its highest or lowest point, can be found using the formula -b/(2a). This vertex plays a crucial role in the graphing of the parabola and has significant implications in optimization problems.One of the most fascinating aspects of a parabola is its reflective property. When a parallel beam of light strikes a parabola, it reflects off the surface and passes through the focus. This property is utilized in the design of satellite dishes and parabolic microphones, where capturing signals or sound waves efficiently is essential. The ability of a parabola to concentrate energy at a single point makes it an invaluable tool in technology.In the realm of physics, the parabola describes the trajectory of an object under the influence of gravity when projected at an angle. This concept is crucial in understanding projectile motion, where the path of the projectile forms a parabola. For instance, when a basketball is shot towards the hoop, its flight path resembles a parabola, demonstrating the principles of motion and force.The beauty of a parabola is not limited to mathematics and science; it also finds its way into the arts. Artists and architects often use the parabola in their designs, appreciating its aesthetic appeal and structural integrity. The famous Gateway Arch in St. Louis, Missouri, is a prime example of a structure based on a parabola. Its graceful curvature not only serves a functional purpose but also captivates the eye of the beholder.Furthermore, the concept of a parabola extends beyond its mathematical definition. It symbolizes various phenomena in life, such as growth and decline. For instance, many successful careers follow a parabola-like trajectory, starting with a gradual rise, reaching a peak, and then eventually declining. Recognizing this pattern can provide valuable insights into personal and professional development.In conclusion, the parabola is more than just a mathematical curve; it is a fundamental concept that intersects with various disciplines, including physics, engineering, art, and even personal growth. By understanding its properties and applications, we can appreciate the profound impact that a simple shape can have on our lives. Whether we encounter a parabola in a textbook, a satellite dish, or the arc of a basketball, its significance is undeniable. As we continue to explore the world of mathematics and its applications, the parabola remains a key player in helping us understand complex systems and phenomena.

在数学中，术语抛物线指的是一种特定类型的曲线，它被定义为平面中所有点的集合，这些点与一个固定点（称为焦点）和一条固定直线（称为准线）的距离相等。这种优雅的形状在物理学、工程学甚至艺术等多个领域中频繁出现。理解抛物线的性质和应用可以增强我们对周围世界的理解。打开向上或向下的抛物线的标准方程由公式y = ax² + bx + c给出，其中'a'、'b'和'c'是常数。'a'的值决定了抛物线打开的方向；如果'a'为正，则抛物线向上打开；如果'a'为负，则向下打开。抛物线的顶点，即其最高或最低点，可以通过公式-b/(2a)找到。这个顶点在抛物线的图形绘制中起着至关重要的作用，并在优化问题中具有重要意义。抛物线最迷人的方面之一是它的反射特性。当一束平行光线照射到抛物线上时，它会从表面反射并通过焦点。这一特性在卫星天线和抛物线麦克风的设计中得到了应用，在这些设备中，高效捕捉信号或声波是至关重要的。抛物线能够将能量集中在一个点上，使其成为技术中不可或缺的工具。在物理学领域，抛物线描述了在重力影响下以一定角度投射的物体的轨迹。这个概念对于理解抛体运动至关重要，在这种情况下，抛体的路径形成一条抛物线。例如，当篮球朝着篮筐投射时，它的飞行路径类似于一条抛物线，展示了运动和力的原理。抛物线的美丽不仅限于数学和科学；它也渗透到艺术中。艺术家和建筑师经常在他们的设计中使用抛物线，欣赏其美学吸引力和结构完整性。美国密苏里州圣路易斯的著名大门拱门就是一个基于抛物线的结构的典范。它优雅的曲线不仅具有功能目的，还吸引了观者的目光。此外，抛物线的概念超越了其数学定义。它象征着生活中的各种现象，例如增长和衰退。例如，许多成功的职业生涯遵循抛物线般的轨迹，从逐渐上升开始，达到顶峰，然后最终下降。识别这一模式可以为个人和职业发展提供有价值的见解。总之，抛物线不仅仅是一个数学曲线；它是一个基本概念，交叉于物理学、工程学、艺术甚至个人成长等多个学科。通过理解其性质和应用，我们可以欣赏到一个简单形状对我们生活的深远影响。无论我们在教科书、卫星天线还是篮球的弧线中遇到抛物线，它的重要性都是不可否认的。在我们继续探索数学及其应用的过程中，抛物线仍然是帮助我们理解复杂系统和现象的关键角色。