hyperboloid的音標是[?ha?p??bo?l??]，基本翻譯是雙曲線，速記技巧是雙曲線的形狀像馬鞍。

Hyperboloid的詞源：

詞根：hyper-（超） + -bol-（球） + -oid（形狀） → 超球形的 → hyperboloid

Hyperboloid的變化形式：

復數：hyperboloids

現在分詞：hyperboloid

過去式：hyperbolized 或 hyperbolized

過去分詞：hyperbolized

相關單詞：

1. Hyperbolic（超曲線的）：來自于hyperboloid，表示超曲線的。它可以用于數學、物理和工程學中。

2. Contraction（收縮）：來自于hyperboloid的過去式形式hyperbolized，表示通過壓縮或收縮來減小尺寸或規模。

3. Hyperbolize（夸張）：來自于hyperbolize，表示夸大或過度強調。這個詞常用于形容言語或行為上的夸張表現。

4. Hyperbolic function（超曲線函數）：是一種數學函數，來自于hyperbolic函數，描述超曲線的行為。

5. Hyperboloid surface（雙曲面）：是一種三維曲面，來自于hyperboloid，表示具有雙曲線形狀的表面。

6. Hyperbolic space（雙曲空間）：是一種數學概念，來自于hyperbolic space，表示具有雙曲線性質的空間。

7. Hyperbolic cone（雙曲錐）：來自于hyperboloid的變形形式，表示具有雙曲線形狀的錐體。

8. Hyperbolic mirror（雙曲面鏡）：來自于hyperboloid的應用，常用于光學儀器中作為反射鏡。

9. Hyperbolic motion（雙曲運動）：來自于hyperbolic function的應用，表示具有雙曲線形狀的運動軌跡。

10. Hyperbolic angle（雙角）：來自于hyperbolic angle，表示具有雙曲線形狀的角度或角度變化。

常用短語：

1. hyperboloid curve

2. hyperboloid surface

3. hyperbolic paraboloid

4. hyperbolic cosine

5. hyperbolic sine

6. hyperbolic tangent

7. hyperbolic radius

雙語例句：

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.