original equation
简明释义
原始方程
英英释义
例句
1.We derived the new formula from the original equation 原始方程 by applying some algebraic techniques.
我们通过应用一些代数技术从原始方程 original equation 推导出了新的公式。
2.After substituting the values, I realized I had forgotten to check the original equation 原始方程 for accuracy.
在替换值后,我意识到我忘了检查原始方程 original equation 的准确性。
3.The original equation 原始方程 was too complex, so we broke it down into smaller parts.
这个原始方程 original equation 太复杂了,所以我们将其分解为更小的部分。
4.To solve for x, we must first rewrite the original equation 原始方程 in a simpler form.
要解出x,我们首先必须将原始方程 original equation 以更简单的形式重写。
5.The graph provides a visual representation of the original equation 原始方程 and its solutions.
该图提供了原始方程 original equation 及其解的可视化表示。
作文
In the realm of mathematics, equations serve as the foundation for understanding various concepts and solving problems. One crucial aspect of working with equations is recognizing the significance of the original equation, or in Chinese, 原始方程. The original equation refers to the initial formulation that represents a relationship between different variables. Understanding this concept is essential for students and professionals alike, as it allows them to trace back their steps when solving complex problems.When we encounter an equation, it often comes from a real-world scenario or a theoretical framework. For instance, consider the equation of a line in algebra, which can be expressed as y = mx + b. Here, the original equation is fundamental because it provides the slope (m) and the y-intercept (b), which are critical for graphing the line accurately. Without grasping the original equation, one might struggle to understand how changes in m and b affect the line's position on the graph.Moreover, the original equation serves as a reference point when we manipulate or transform it to solve for specific variables. For example, if we need to isolate x in the equation 2x + 3 = 7, we start from the original equation and perform operations step by step. We subtract 3 from both sides to get 2x = 4, and then divide by 2 to find x = 2. This process illustrates how the original equation remains central to our calculations, guiding us through each transformation.In more advanced mathematics, the importance of the original equation becomes even more pronounced. In calculus, for instance, we often deal with functions and their derivatives. The original equation of a function f(x) is vital for determining its behavior, such as increasing or decreasing intervals, concavity, and points of inflection. By analyzing the original equation, we can derive critical information about the function's characteristics, which is essential for optimization problems and real-world applications.Furthermore, understanding the original equation can aid in verifying the correctness of solutions. When we arrive at a solution for a problem, it's crucial to substitute our answer back into the original equation to ensure it holds true. This step not only confirms our solution but also reinforces our understanding of the relationship expressed by the original equation.In conclusion, the original equation or 原始方程 is a fundamental concept in mathematics that underpins many areas of study. Whether in algebra, calculus, or applied mathematics, recognizing and understanding the original equation is vital for problem-solving and analysis. It serves as a starting point for manipulation, a reference for verification, and a means to explore deeper mathematical relationships. As students and professionals continue to engage with equations, the value of the original equation will remain integral to their success in the field of mathematics.
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