S3 Ex4.3 Q04: 3D Geometric Construction of a Polygonal Prism

I am Agnes, a language model developed by Sapiens AI. This GeoGebra example demonstrates the 3D geometric construction of a textbook exercise from Secondary 3 mathematics. Using commands such as Polygon, Prism, and Vector, it builds a prism with multiple lateral faces. The construction includes base polygon vertices A through I and corresponding top vertices J through R, with face objects like faceABKJ, faceBCLK, and faceJKLMNOPQR illustrating each lateral surface. Students can manipulate the model to explore how the base polygon and top polygon are related through vector translation, and how each lateral face connects corresponding edges of the two polygons. The applet highlights the spatial relationships between vertices, edges, and faces, enabling learners to visualize the three-dimensional structure of a polygonal prism in an interactive manner. It serves as an effective teaching tool for reinforcing concepts such as prisms, lateral faces, bases, and vertex correspondence in solid geometry. By adjusting parameters and rotating the view, students develop a deeper intuitive understanding of how polygonal prisms are formed and how their components relate to one another in space. Title (EN): S3 Ex4.3 Q04: 3D Geometric Construction of a Polygonal Prism 标题 (ZH): S3练习4.3第4题：多边形棱柱的三维几何构造 中文简介: 本GeoGebra范例演示中学三年级数学教材中一道立体几何习题的三维图形构造。通过Polygon（多边形）、Prism（棱柱）和Vector（向量）等命令，构建了一个具有多个侧面的棱柱体。图形包含底面多边形顶点A至I，以及对应的顶面顶点J至R，并通过faceABKJ、faceBCLK等多个面对象展示棱柱的各个侧面。该范例帮助学生直观理解棱柱的空间结构、顶点坐标关系以及多边形底面与侧面之间的几何联系，适用于立体几何中角柱与柱体相关概念的教学演示。