Nail it Down: Tangent Geometry with Power-Function Fitting

This GeoGebra example demonstrates a “nail it down” problem strategy: start from a structured geometry setup (isosceles triangles and a parallelogram-related configuration), then use tangent and equation constraints to determine the target relationships and positions. The key math concepts include power functions (Potenzfunktionen), tangents (Tangente), geometric properties of isosceles triangles (Gleichschenklige Dreiecke), and parallelogram constraints (Parallelogramm) that enforce symmetry/parallelism. Construction-wise, the provided command summary highlights the use of FitPoly for polynomial fitting, together with a collection of construction points and labels (n, Text1, A1–A6, B1–B6, C2–C6, Text2–Text4), line objects (l1, l2), and equation/parameter-related items (g, f, a, b, ymi, yma). The workflow is: build the critical geometric framework, define the function model via fitting, then impose tangent/functional conditions to convert geometry into solvable equations. Suitable for advanced middle/high school students and enrichment activities focused on geometric modeling with functions and equation-solving.