hyperbolic

hyperbolic的音标是[ˌhaɪpəˈblɪk]，基本翻译是"双曲的；双曲函数"，速记技巧是"双曲的=hy+bio+l"。

Hyperbolic这个词源自希腊语，意为“双曲的”。它的变化形式包括名词hyperbola和形容词hyperbolic。

相关单词：

1. Conic section - 抛物线或椭圆的部分，是数学中的一种图形，与hyperbola有密切关系。

2. Hyperboloid - 双曲几何学中的一种形状，类似于hyperbola。

3. Hyperbolic function - 双曲函数，包括双曲正弦、双曲余弦等，描述了hyperbola等双曲几何的特性。

例如，当说到一个“hyperbolic curve”（双曲线）时，我们通常指的是一种在二维欧几里得空间中定义的曲线，它具有向外扩张的趋势。而“hyperbolic function”（双曲函数）则描述了这种曲线的基本特性。此外，“hyperbolic space”（双曲空间）则是一种在数学中使用的抽象概念，它也与hyperbola密切相关。

常用短语：

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.