axis of ordinates

简明释义

纵坐标轴;

英英释义

例句

1.When plotting a graph, make sure to label the axis of ordinates (纵坐标轴) clearly.

绘制图表时，确保清晰标注axis of ordinates（纵坐标轴）。

2.To understand the data better, we can analyze the changes along the axis of ordinates (纵坐标轴).

为了更好地理解数据，我们可以分析沿着axis of ordinates（纵坐标轴）的变化。

3.In a standard Cartesian coordinate system, the vertical line is known as the axis of ordinates (纵坐标轴).

在标准的笛卡尔坐标系中，垂直线被称为axis of ordinates（纵坐标轴）。

4.In this chart, the axis of ordinates (纵坐标轴) indicates the sales figures for each month.

在这个图表中，axis of ordinates（纵坐标轴）表示每个月的销售数字。

5.The value on the axis of ordinates (纵坐标轴) represents the dependent variable in the experiment.

在实验中，axis of ordinates（纵坐标轴）上的值代表因变量。

作文

In the study of mathematics, particularly in the field of coordinate geometry, understanding the different components of a Cartesian plane is crucial. One of the key elements of this plane is the concept of the axis of ordinates, which is commonly referred to as the y-axis. The axis of ordinates serves as a vertical line that runs through the origin of the coordinate system and extends infinitely in both directions. It is essential for plotting points and understanding the relationship between variables in functions.To grasp the significance of the axis of ordinates, we must first understand the Cartesian coordinate system itself. This system consists of two perpendicular lines: the horizontal line known as the x-axis and the vertical line known as the axis of ordinates. Each point on this plane is defined by an ordered pair of numbers (x, y), where 'x' represents the position along the x-axis and 'y' represents the position along the axis of ordinates. This structure allows for a clear and organized way to visualize mathematical relationships.When we plot a point on the Cartesian plane, we start at the origin, which is the intersection of the x-axis and the axis of ordinates. From there, we move horizontally to the right or left to find the x-coordinate, and then vertically up or down to find the y-coordinate. For instance, if we want to plot the point (3, 5), we would move three units to the right along the x-axis and then five units up along the axis of ordinates. This process illustrates how the axis of ordinates plays a vital role in representing data visually.In practical applications, the axis of ordinates is used in various fields such as physics, engineering, and economics. For example, in a graph illustrating the relationship between supply and demand, the quantity of goods may be represented on the x-axis, while the price is plotted along the axis of ordinates. This allows analysts to easily interpret how changes in price affect the quantity supplied or demanded, providing valuable insights for decision-making.Furthermore, understanding the behavior of functions often involves analyzing their graphs, which rely heavily on the axis of ordinates. For instance, the graph of a linear function will always intersect the axis of ordinates at the point where the x-value is zero. This point is known as the y-intercept, and it provides crucial information about the function's behavior. By studying the y-intercept and the slope of the line, one can predict how the function will behave for other values of x.In conclusion, the axis of ordinates is more than just a line on a graph; it is a fundamental component of the Cartesian coordinate system that facilitates the representation and analysis of mathematical relationships. Its importance spans across various disciplines, making it a vital concept for anyone studying mathematics or related fields. By mastering the use of the axis of ordinates, students and professionals alike can enhance their ability to visualize and interpret data effectively.

在数学研究中，特别是在坐标几何领域，理解笛卡尔平面中的不同组成部分至关重要。这个平面中的一个关键元素是“纵坐标轴”的概念，通常称为y轴。“纵坐标轴”作为一条垂直线，通过坐标系统的原点，并在两个方向上无限延伸。它对于绘制点和理解函数中变量之间的关系至关重要。要理解“纵坐标轴”的重要性，我们首先必须了解笛卡尔坐标系统本身。该系统由两条垂直线组成：水平线称为x轴，垂直线称为“纵坐标轴”。该平面上的每个点都由一对有序数字（x，y）定义，其中'x'表示沿x轴的位置，'y'表示沿“纵坐标轴”的位置。这种结构使得可视化数学关系变得清晰而有序。当我们在笛卡尔平面上绘制一个点时，我们从原点开始，即x轴和“纵坐标轴”的交点。从那里，我们水平向右或左移动以找到x坐标，然后垂直向上或向下移动以找到y坐标。例如，如果我们想绘制点（3, 5），我们会沿着x轴向右移动三单位，然后沿着“纵坐标轴”向上移动五单位。这个过程说明了“纵坐标轴”在以可视化方式表示数据中的重要作用。在实际应用中，“纵坐标轴”被广泛用于物理、工程和经济学等多个领域。例如，在一张描述供需关系的图表中，商品数量可能在x轴上表示，而价格则沿着“纵坐标轴”绘制。这使得分析师能够轻松解释价格变化如何影响供给或需求的数量，从而为决策提供宝贵的见解。此外，理解函数的行为通常涉及分析其图形，这在很大程度上依赖于“纵坐标轴”。例如，线性函数的图形总是会在x值为零的点与“纵坐标轴”相交。这个点被称为y截距，它提供了有关函数行为的重要信息。通过研究y截距和直线的斜率，可以预测函数在其他x值下的行为。总之，“纵坐标轴”不仅仅是图表上的一条线；它是笛卡尔坐标系统的基本组成部分，促进了数学关系的表示和分析。它的重要性跨越多个学科，使其成为任何学习数学或相关领域的人的重要概念。通过掌握“纵坐标轴”的使用，学生和专业人士都可以增强有效可视化和解释数据的能力。