angle bisector

"angle bisector"的音标为[ˈæŋɡl bɪˈsaɪktə(r)]，基本翻译为“角平分线”。速记技巧可以考虑使用谐音记忆法，将其记作“安哥李鲍席”，即“Angle Bisector”的发音类似“安哥李鲍席”。

Angle bisector (角平分线)的英文词源是拉丁语"bis"（两倍）和"sectio"（分割）。其变化形式包括：

1. Angle bisector：角平分线，用于将角二等分。

2. mid-angle：中角，用于指代被平分的角。

3. angular bisector：角弧，表示从角的顶点开始，向角的两边画出的线段。

4. angular median：角中线，与角平分线在概念上相似，但更强调从角的顶点出发的线段。

相关单词有：

1. isosceles triangle（等腰三角形）：一个三角形的两条边相等，通过其角平分线可以将该三角形二等分。

2. median angle（中角）：在等腰三角形中，底边上的两个角称为中角，它们可以通过角平分线相等。

3. altitude（高）：在三角形中，从顶点出发，垂直于底边的线段称为高。高和平分线在概念上存在一定的差异，但它们都与角的平分有关。

以上词汇和概念可以进一步扩展到更广泛的数学和几何学领域，如三角形的性质、多边形的分割、角度和边的测量等。

常用短语：

1. angle bisector divides

2. angle bisector bisect

3. angle bisector splits

4. angle bisector divides equally

5. angle bisector divides in half

6. angle bisector divides into two equal parts

7. angle bisector divides into two equal angles

例句：

1. The angle bisector of a triangle divides each side equally.

2. The angle bisector of a sector divides the circle into two equal arcs.

3. The angle bisector of a rectangle splits the rectangle into two equal triangles.

4. The angle bisector of a pentagon divides the pentagon into five equal triangles.

5. The angle bisector of a hexagon divides the hexagon into two hexagons each with six equal triangles.

6. The angle bisector of a regular hexagon divides the hexagon into two equal hexagons and two equal triangles.

7. The angle bisector of a circle divides the circle into two equal arcs and two equal angles.

英文小作文：

Title: Angle Bisectors and Equal Triangles

Angle bisectors play an important role in geometry, as they help us to divide shapes into equal parts. Let"s take a look at how they work with triangles, which are one of the most common shapes we encounter in geometry.

When we draw an angle bisector through a vertex of a triangle, it divides each side equally, forming two equal triangles with the same base and height. This means that the angles formed by the sides are also equal, making the triangles isosceles. Therefore, angle bisectors are essential for proving that triangles are isosceles or for finding the length of sides or angles in isosceles triangles.

In addition to triangles, angle bisectors also play a role in other shapes such as sectors, rectangles, and pentagons, where they help us to divide these shapes into equal parts and find their properties more easily. Understanding angle bisectors is fundamental to understanding geometric concepts and solving geometric problems effectively.