Comprehensive Interactive Exercise on Geometric Transformations and Conic Sectio

① This example is a comprehensive interactive mathematics exercise that demonstrates multiple topics including geometric transformations, conic sections, spheres, percentages, and Poisson distribution through randomly generated parameters and dynamic input fields. ② Core mathematical concepts include geometric transformations (translation, rotation, scaling), conic sections (ellipse, hyperbola, parabola), 3D representation of spheres, percentage calculations, and probability statistics of the Poisson distribution. ③ Construction highlights: uses GeoGebra commands Random and RandomElement to generate random objects, Textfield and TableText for text input and table display, involving objects such as points, lines, circles, conic sections, spheres, buttons, input boxes, etc., allowing users to adjust parameters interactively and observe graphical changes. ④ Suitable for high school to university level mathematics teaching or self-study, useful for consolidating comprehensive applications of geometric transformations, conic sections, and probability statistics, and can serve as a reference template for teachers designing dynamic exercises.