Bowl or Cup Modeling (2): Cosine, Fractions, and Root-Based 3D Construction

① This example demonstrates how to construct a bowl- or cup-like 3D surface model in GeoGebra using cosine functions, radical expressions, and rhombus elements, serving as an advanced geometric modeling exercise. ② Core mathematical concepts include the periodic variation of cosine functions, curve shapes defined by square roots, fractional scaling, and the planar properties of a rhombus, which together define the container's outline and surface. ③ Construction highlights: based on the summary, the model likely employs geometric construction tools (e.g., drawing a rhombus, plotting cosine and root-function graphs), possibly with sliders to dynamically adjust parameters such as depth, rim diameter, and curvature; since no explicit commands are listed, it may also involve surface or revolution commands to generate the 3D form. ④ This is suitable for high school or undergraduate math modeling courses, useful for exploring the connection between functions and solid geometry, and as a visual teaching aid to understand how parameter changes affect 3D shapes.