hyperboloid

hyperboloid的音标是[ˌhaɪpəˈboʊlɔɪ]，基本翻译是双曲线，速记技巧是双曲线的形状像马鞍。

Hyperboloid的词源：

词根：hyper-（超） + -bol-（球） + -oid（形状） → 超球形的 → hyperboloid

Hyperboloid的变化形式：

复数：hyperboloids

现在分词：hyperboloid

过去式：hyperbolized 或 hyperbolized

过去分词：hyperbolized

相关单词：

1. Hyperbolic（超曲线的）：来自于hyperboloid，表示超曲线的。它可以用于数学、物理和工程学中。

2. Contraction（收缩）：来自于hyperboloid的过去式形式hyperbolized，表示通过压缩或收缩来减小尺寸或规模。

3. Hyperbolize（夸张）：来自于hyperbolize，表示夸大或过度强调。这个词常用于形容言语或行为上的夸张表现。

4. Hyperbolic function（超曲线函数）：是一种数学函数，来自于hyperbolic函数，描述超曲线的行为。

5. Hyperboloid surface（双曲面）：是一种三维曲面，来自于hyperboloid，表示具有双曲线形状的表面。

6. Hyperbolic space（双曲空间）：是一种数学概念，来自于hyperbolic space，表示具有双曲线性质的空间。

7. Hyperbolic cone（双曲锥）：来自于hyperboloid的变形形式，表示具有双曲线形状的锥体。

8. Hyperbolic mirror（双曲面镜）：来自于hyperboloid的应用，常用于光学仪器中作为反射镜。

9. Hyperbolic motion（双曲运动）：来自于hyperbolic function的应用，表示具有双曲线形状的运动轨迹。

10. Hyperbolic angle（双角）：来自于hyperbolic angle，表示具有双曲线形状的角度或角度变化。

常用短语：

1. hyperboloid curve

2. hyperboloid surface

3. hyperbolic paraboloid

4. hyperbolic cosine

5. hyperbolic sine

6. hyperbolic tangent

7. hyperbolic radius

双语例句：

1. The hyperboloid curve is a two-dimensional object that resembles a pair of wings.

2. The hyperboloid surface is a three-dimensional object that appears as a pair of ellipsoids.

3. Hyperbolic cosine is a mathematical function that is used to approximate the shape of objects in space.

4. Hyperbolic sine is a mathematical function that is used to measure the deviation of objects from their ideal positions.

5. Hyperbolic tangent is a mathematical function that is used to describe the behavior of systems that are undergoing rapid changes.

6. Hyperbolic radius is a measurement used to describe the size of objects in hyperbolic space.

英文小作文：

Hyperboloid is a fascinating mathematical object that can be found in many different contexts. It is a two-dimensional curve that resembles a pair of wings and can be used to describe the shape of objects in space. Hyperboloid surfaces are three-dimensional objects that appear as pairs of ellipsoids and can be used to model the shape of objects in three dimensions.

Hyperboloid is also closely related to hyperbolic functions, which are mathematical functions that are used to approximate the shape of objects in space and measure the deviation of objects from their ideal positions. Hyperbolic cosine, hyperbolic sine, and hyperbolic tangent are examples of hyperbolic functions that are commonly used in science and engineering.

In addition, hyperboloid is also closely related to hyperbolic geometry, which is a branch of mathematics that studies the properties of hyperbolic curves and surfaces. Hyperbolic geometry provides a different perspective on how we view space and time, and it has applications in fields such as physics and astronomy.