立方項的意思、翻譯和例句

是什麼意思

「立方項」是數學和代數中的一個術語,通常指的是一個變數的三次方項。在多項式中,立方項是指形如 ax³ 的項,其中 a 是係數,x 是變數。這種項的特徵是其變數的指數為三,表示變數被自我相乘三次。立方項在數學中經常出現在立方體的體積計算、代數方程以及其他數學運算中。

依照不同程度的英文解釋

  1. A part of a math expression where a number is multiplied by itself three times.
  2. A term in math that has a variable raised to the power of three.
  3. A term in an equation that includes a variable multiplied by itself three times.
  4. A term in algebra that involves a variable raised to the third power.
  5. A component of a polynomial that represents a variable cubed.
  6. A specific type of term in algebraic expressions where a variable appears with an exponent of three.
  7. A mathematical term characterized by a variable raised to the third power, often used in volume calculations.
  8. A term in a polynomial of degree three, indicating a cubic relationship.
  9. A term that expresses a cubic relationship, often used in equations involving three-dimensional geometry.
  10. A term that signifies a variable raised to the third power, commonly found in cubic equations.

相關英文單字或片語的差別與用法

1:Cubic term

用法:

在數學中,立方項通常被稱為立方項,特別是在多項式的上下文中。它指的是變數的三次方,例如 x³。在多項式中,立方項是指變數的指數為三的項,通常用於描述立方體的體積或其他三次方的數學運算。

例句及翻譯:

例句 1:

這個多項式的立方項是 3x³。

The cubic term of this polynomial is 3x³.

例句 2:

在計算立方體的體積時,我們使用立方項

When calculating the volume of a cube, we use the cubic term.

例句 3:

他們討論了這個方程中的立方項

They discussed the cubic term in this equation.

2:Cubic expression

用法:

指的是包含立方項的數學表達式,通常用於代數運算和方程解的過程中。立方表達式可以是單一的立方項,或是一個多項式,其中包含一個或多個立方項。這類表達式在幾何學和物理學中也經常出現,尤其是在涉及體積的計算時。

例句及翻譯:

例句 1:

這個立方表達式的根可以通過因式分解找到。

The roots of this cubic expression can be found by factoring.

例句 2:

我們需要簡化這個包含立方項的立方表達式。

We need to simplify this cubic expression that contains cubic terms.

例句 3:

立方表達式在工程計算中非常重要。

Cubic expressions are very important in engineering calculations.

3:Third-degree term

用法:

在代數中,立方項也可以被稱為三次項,因為它的指數是三。這個術語通常用於描述多項式的不同項目,特別是在討論多項式的度數時。三次項在數學模型和方程中經常出現,特別是在涉及三次方的問題中。

例句及翻譯:

例句 1:

這個多項式的三次項是 5x³。

The third-degree term of this polynomial is 5x³.

例句 2:

在這個問題中,我們需要找出三次項的係數。

In this problem, we need to find the coefficient of the third-degree term.

例句 3:

三次項在這個方程的解中扮演了重要角色。

The third-degree term plays an important role in the solution of this equation.