cubic root

简明释义

立方根

英英释义

例句

1.To find the volume of a cube, you can calculate the cubic root 立方根 of its volume.

要找出一个立方体的体积，你可以计算其体积的立方根。

2.The cubic root 立方根 of 27 is 3, since 3 x 3 x 3 equals 27.

27的立方根是3，因为3 x 3 x 3等于27。

3.Mathematicians often use the cubic root 立方根 in solving polynomial equations.

数学家们常常在解决多项式方程时使用立方根。

4.In chemistry, the cubic root 立方根 can help determine the concentration of solutions.

在化学中，立方根可以帮助确定溶液的浓度。

5.When designing a tank, knowing the cubic root 立方根 of its capacity is essential for material selection.

在设计一个水箱时，知道其容量的立方根对材料选择至关重要。

作文

Mathematics is a subject that often challenges students, but it also offers fascinating concepts that can be both fun and useful. One such concept is the cubic root, which is defined as a number that, when multiplied by itself three times, gives the original number. For example, the cubic root of 27 is 3, since 3 × 3 × 3 = 27. Understanding the cubic root can help in various mathematical applications, including geometry, algebra, and even some aspects of physics.To comprehend the importance of the cubic root, let's consider its application in geometry. When dealing with volume, the concept of cubic root becomes essential. The volume of a cube is calculated by raising the length of one of its sides to the third power. Therefore, if we know the volume of a cube, we can find the length of a side by calculating the cubic root of the volume. For instance, if a cube has a volume of 64 cubic units, the length of each side can be determined by finding the cubic root of 64, which is 4. This relationship between volume and the cubic root is not only practical in theoretical mathematics but also in real-world applications such as construction and design.In algebra, the cubic root is often used to solve equations involving cubes. For instance, if we have the equation x³ = 125, we can find the value of x by taking the cubic root of 125. This results in x = 5, since 5 × 5 × 5 = 125. This ability to manipulate equations using the cubic root opens up a range of problem-solving strategies that are vital for students as they progress in their studies.Furthermore, the cubic root plays a significant role in more advanced topics such as calculus and analysis. In calculus, understanding how functions behave around their cubic root values can provide insights into their limits and derivatives. For example, the function f(x) = x^(1/3) has a cubic root at x = 0, which is crucial for understanding its behavior near that point. Analyzing the cubic root can lead to deeper insights into continuity and differentiability.In conclusion, the cubic root is a fundamental concept in mathematics that extends beyond mere numbers. It has practical applications in geometry, algebra, and calculus, and understanding it can greatly enhance a student's mathematical skills. By grasping the significance of the cubic root, students can approach mathematical problems with greater confidence and creativity. Whether it’s calculating the dimensions of a cube or solving complex equations, the cubic root is an essential tool in the mathematician's toolbox. Embracing this concept not only aids in academic success but also prepares students for real-world scenarios where mathematical reasoning is required.

数学是一门常常挑战学生的学科，但它也提供了许多迷人的概念，这些概念既有趣又实用。其中一个概念是立方根，定义为一个数，当它自身相乘三次时，得到原始数字。例如，27的立方根是3，因为3 × 3 × 3 = 27。理解立方根可以帮助在各种数学应用中，包括几何、代数，甚至一些物理方面。要理解立方根的重要性，让我们考虑它在几何中的应用。当处理体积时，立方根的概念变得至关重要。立方体的体积通过将一个边的长度提高到三次方来计算。因此，如果我们知道一个立方体的体积，我们可以通过计算体积的立方根来找到边的长度。例如，如果一个立方体的体积为64立方单位，则每条边的长度可以通过找到64的立方根来确定，即4。这种体积与立方根之间的关系不仅在理论数学中是实用的，而且在建筑和设计等现实世界的应用中也是如此。在代数中，立方根通常用于解决涉及立方的方程。例如，如果我们有方程x³ = 125，我们可以通过取125的立方根来找到x的值。这导致x = 5，因为5 × 5 × 5 = 125。利用立方根操作方程的能力为学生在学习过程中提供了一系列至关重要的问题解决策略。此外，立方根在更高级的主题如微积分和分析中也扮演着重要角色。在微积分中，理解函数在其立方根值附近的行为可以为其极限和导数提供见解。例如，函数f(x) = x^(1/3)在x = 0处具有立方根，这对于理解其在该点附近的行为至关重要。分析立方根可以深入了解连续性和可微性。总之，立方根是数学中的一个基本概念，超越了单纯的数字。它在几何、代数和微积分中具有实际应用，理解它可以大大提高学生的数学技能。通过掌握立方根的重要性，学生可以以更大的信心和创造力来应对数学问题。无论是计算立方体的尺寸还是解决复杂的方程，立方根都是数学家工具箱中的一个重要工具。接受这一概念不仅有助于学术成功，还为学生准备了在需要数学推理的现实场景中使用。