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Building with Shapes: Compose and Decompose | 用图形拼搭:图形组合与拆分

2026-08-30 10:05 · 本文部分内容由AI辅助创作

📚 Building with Shapes: Compose and Decompose | 用图形拼搭:图形组合与拆分

Welcome to Lesson 15-8! In this lesson, you will learn how to put shapes together to make new shapes, and how to take big shapes apart into smaller parts.

欢迎来到第15章第8课!在这节课中,你将学习如何把图形拼在一起组成新图形,以及如何把大图形拆成较小的部分。


1. Learning Goals | 学习目标


2. Shape Vocabulary | 图形词汇

Let us review the names of the shapes we will use today.

让我们复习今天要用到的图形名称。

Shape | 图形 Sides | 边 Corners | 角 Symbol | 符号
Circle | 圆形 0 0 ○
Square | 正方形 4 4 □
Triangle | 三角形 3 3 △
Rectangle | 长方形 4 4 ▭
Hexagon | 六边形 6 6 ⬡

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3. What Does "Compose" Mean? | “组合”是什么意思?

To compose means to put parts together. When we compose a shape, we join smaller shapes to make one larger shape.

组合就是把各个部分拼在一起。当我们组合一个图形时,我们把较小的图形连接起来,组成一个较大的图形。

For example, two squares can be placed beside each other to make a rectangle.

例如,两个正方形并排放在一起,可以组成一个长方形。


4. Triangles Make a Rectangle | 三角形拼成长方形

Take two identical right triangles and place them along their longest side. The two triangles join perfectly to form a rectangle.

取两个完全相同的直角三角形,把它们最长的那条边拼在一起。这两个三角形就能完美地组成一个长方形。

△ + △ = ▭

Notice that the rectangle has 4 sides and 4 corners, while each triangle has 3 sides and 3 corners.

注意,长方形有4条边和4个角,而每个三角形有3条边和3个角。


5. Four Squares Make a Big Square | 四个正方形拼成一个大正方形

Place four congruent squares in a 2-by-2 grid. They form one larger square.

把四个大小相同的正方形排成2行2列。它们就组成了一个大正方形。

□ + □ + □ + □ = □

We can also write this as a multiplication equation: 2 × 2 = 4.

我们也可以把它写成乘法算式:2 × 2 = 4。


6. Six Triangles Make a Hexagon | 六个三角形拼成六边形

Six congruent equilateral triangles can be arranged around a point to make a regular hexagon.

六个完全相同的等边三角形围绕一个点排列,可以组成一个正六边形。

△ + △ + △ +

Published by TutorHao | IGCSE Mathematics Revision Series | aleveler.com

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