CV1.2: Calculus Limits and Solid Geometry Exploration

①This example demonstrates a comprehensive mathematical exploration combining calculus limits with solid geometry (prisms, cubes, spheres), showing how limit concepts apply in three-dimensional space through dynamic graphics. ②Core mathematical concepts include limits, natural numbers, prisms, cubes, spheres, and equations, involving geometric relations such as tangents, perpendicular lines, and intersections. ③Construction highlights: using GeoGebra commands like Point, OrthogonalLine, Intersect, Segment, Tangent, and Line; objects include function f, point P, line g, segments a, h_1, h, points B, Q, lines i, j, k, l, m, points A, C, lines n, p, and text1, which together build an interactive model of limit approximation and solid geometry. ④Suitable for high school to early college students, useful for understanding geometric intuition of limits, cross-sections or tangent relations of solids, and as a teaching tool integrating calculus and solid geometry.