axis of ordinates

简明释义

纵坐标轴

英英释义

例句

1.The axis of ordinates (纵轴) represents the dependent variable in the graph.

在图表中，axis of ordinates（纵轴）表示因变量。

2.When plotting a graph, make sure to label the axis of ordinates (纵轴) clearly.

在绘制图表时，请确保清晰地标记axis of ordinates（纵轴）。

3.In this data visualization, the axis of ordinates (纵轴) shows the sales figures over time.

在这个数据可视化中，axis of ordinates（纵轴）显示了随时间变化的销售数据。

4.In a standard Cartesian coordinate system, the vertical line is known as the axis of ordinates (纵轴).

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

5.To find the intersection point, locate where the line crosses the axis of ordinates (纵轴).

要找到交点，请定位直线与axis of ordinates（纵轴）的交叉点。

作文

In the field of mathematics, particularly in coordinate geometry, the concept of the axis of ordinates plays a crucial role in understanding the relationship between different points on a Cartesian plane. The axis of ordinates refers to the vertical line, commonly known as the y-axis, which is used to represent the values of the dependent variable in a two-dimensional graph. This axis is perpendicular to the horizontal line known as the x-axis, or the axis of abscissas, where the independent variable is plotted. To better grasp the significance of the axis of ordinates, let us consider a simple example involving a function. Suppose we have a linear equation, such as y = 2x + 3. In this case, for every value of x that we select, we can calculate the corresponding value of y. When we plot these points on a Cartesian plane, the axis of ordinates will allow us to visualize how y changes as x varies. When we plot the point (0, 3), we find that it lies on the axis of ordinates at the point where x equals zero. This point indicates that when there is no input from the x-axis, the output on the axis of ordinates is 3. Similarly, if we take the point (1, 5), we can see that as x increases to 1, the value of y also increases to 5. This relationship is visually represented by a straight line that crosses both axes, demonstrating the direct correlation between the two variables. Moreover, the axis of ordinates not only helps in plotting points but also aids in interpreting data and making predictions. For instance, in real-world applications such as economics or physics, the axis of ordinates can represent quantities like revenue, temperature, or speed, depending on the context. By analyzing the trends along the axis of ordinates, one can derive meaningful insights about the behavior of the system being studied. Additionally, when working with more complex functions, such as quadratic or exponential equations, the axis of ordinates remains essential in determining the shape and characteristics of the graph. For instance, the graph of a quadratic function typically forms a parabola, and the vertex of this parabola will always intersect the axis of ordinates. Understanding where this intersection occurs can provide critical information about the maximum or minimum values of the function. In conclusion, the axis of ordinates is a fundamental element in the study of mathematics, particularly in graphing and analyzing relationships between variables. Its importance extends beyond mere visualization; it is a powerful tool for interpretation and prediction across various fields. By mastering the use of the axis of ordinates, students and professionals alike can enhance their analytical skills and deepen their understanding of mathematical concepts. As we continue to explore more intricate mathematical ideas, the axis of ordinates will undoubtedly remain a key component in our analytical toolkit.

在数学领域，特别是在坐标几何中，纵坐标轴的概念在理解二维平面上不同点之间的关系中起着至关重要的作用。纵坐标轴指的是垂直线，通常被称为y轴，用于表示二维图中的因变量值。该轴与水平线（称为x轴或横坐标轴）垂直，后者用于绘制自变量。为了更好地理解纵坐标轴的重要性，让我们考虑一个简单的例子，涉及一个函数。假设我们有一个线性方程，例如y = 2x + 3。在这种情况下，对于我们选择的每一个x值，我们都可以计算出相应的y值。当我们在笛卡尔平面上绘制这些点时，纵坐标轴将允许我们可视化y如何随着x的变化而变化。当我们绘制点(0, 3)时，我们发现它位于纵坐标轴上，其中x等于零。这个点表明，当x轴没有输入时，纵坐标轴上的输出是3。类似地，如果我们取点(1, 5)，我们可以看到，当x增加到1时，y的值也增加到5。这种关系通过一条穿过两个轴的直线可视化，展示了两个变量之间的直接关系。此外，纵坐标轴不仅有助于绘制点，还帮助解释数据和进行预测。例如，在经济学或物理学等现实应用中，纵坐标轴可以表示数量，如收入、温度或速度，具体取决于上下文。通过分析纵坐标轴上的趋势，人们可以得出关于所研究系统行为的有意义的见解。此外，在处理更复杂的函数时，如二次或指数方程，纵坐标轴仍然对于确定图形的形状和特征至关重要。例如，二次函数的图形通常形成一个抛物线，而这个抛物线的顶点将始终与纵坐标轴相交。了解这个交点发生的位置可以提供关于函数最大值或最小值的重要信息。总之，纵坐标轴是数学研究中的一个基本元素，特别是在图形绘制和分析变量之间关系方面。它的重要性不仅限于可视化；它是解释和预测各个领域的强大工具。通过掌握纵坐标轴的使用，学生和专业人士都可以增强他们的分析技能，加深对数学概念的理解。随着我们继续探索更复杂的数学思想，纵坐标轴无疑将继续作为我们分析工具箱中的关键组成部分。