Vector Translation and Piecewise Function: Isosceles Triangle Rotation with Boxp
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① This GeoGebra example demonstrates a comprehensive math problem involving vector translation, piecewise functions, isosceles triangle rotation, and boxplot visualization. ② Core mathematical concepts include 2D vectors and their translation operations, piecewise function graphs, geometric properties of isosceles triangles, rotation transformations, and statistical boxplots (five-number summary). ③ Construction details: from the summary, the Vector command creates vectors, and Translate command translates points or objects; objects include points K1, A, B, vectors u and w, point C and its translated image C', segment b, text objects texte1 and texte2, and parameter a (likely controlling rotation or piecewise function). The construction integrates algebraic, geometric, and statistical elements into one interactive interface. ④ Suitable for high school or early college students to understand the geometric meaning of vector translation, piecewise function definitions and graphs, rotational symmetry, and statistical chart interpretation, also useful as cross-chapter review or inquiry-based learning material.
GeoGebra Commands & Parameters
Vector(A, B) → uTranslate(C, w) → C'Vector(C, C') → b