hyperbolic的音標(biāo)是[?ha?p??bl?k]，基本翻譯是"雙曲的；雙曲函數(shù)"，速記技巧是"雙曲的=hy+bio+l"。

Hyperbolic這個詞源自希臘語，意為“雙曲的”。它的變化形式包括名詞hyperbola和形容詞hyperbolic。

相關(guān)單詞：

1. Conic section - 拋物線或橢圓的部分，是數(shù)學(xué)中的一種圖形，與hyperbola有密切關(guān)系。

2. Hyperboloid - 雙曲幾何學(xué)中的一種形狀，類似于hyperbola。

3. Hyperbolic function - 雙曲函數(shù)，包括雙曲正弦、雙曲余弦等，描述了hyperbola等雙曲幾何的特性。

例如，當(dāng)說到一個“hyperbolic curve”（雙曲線）時，我們通常指的是一種在二維歐幾里得空間中定義的曲線，它具有向外擴(kuò)張的趨勢。而“hyperbolic function”（雙曲函數(shù)）則描述了這種曲線的基本特性。此外，“hyperbolic space”（雙曲空間）則是一種在數(shù)學(xué)中使用的抽象概念，它也與hyperbola密切相關(guān)。

常用短語：

1. hyperbolic acceleration

2. hyperbolic motion

3. hyperbolic function

4. hyperbolic cosine

5. hyperbolic sine

6. hyperbolic tangent

7. hyperbolic space

例句：

1. The hyperbola is characterized by hyperbolic acceleration.

2. Hyperbolic motion occurs when a body moves along a hyperbola.

3. Hyperbolic functions are commonly used in physics and engineering.

4. The hyperbolic cosine of x is denoted as cosh(x) and is used to model certain types of growth.

5. Hyperbolic sine and hyperbolic tangent are also commonly used functions in physics and engineering.

6. Hyperbolic space is a mathematical concept that describes a curved space with infinite dimensions.

英文小作文：

Title: Hyperbolic Space: An Amazing Mathematical Concept

Hyperbolic space is a mathematical concept that describes a curved space with infinite dimensions. It is commonly used in physics and engineering to model certain types of motion and growth. The hyperbolic cosine, hyperbolic sine, and hyperbolic tangent are also important functions in this context.

Hyperbolic motion occurs when a body moves along a hyperbola, and hyperbolic functions are used to model certain types of growth, such as exponential growth or decay. Hyperbolic space provides a more accurate description of these phenomena than Euclidean space, which has finite dimensions.

This mathematical concept is not only fascinating from a mathematical perspective, but also has practical applications in various fields. Understanding hyperbolic space can help us better understand the world around us and develop more accurate models for various phenomena.