Median Line, Piecewise & Logarithmic Functions Example
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This example demonstrates the geometric properties of the median line in a rhombus, visualizing piecewise functions and logarithmic functions. Key math concepts include median line, piecewise functions, real numbers, logarithmic functions, and rhombus geometry. Construction highlights involve commands like Root, Point, Textfield, Vector, Sequence, and Zip to create objects such as function f, points B/D, and vectors, with Sequence and Zip for dynamic complex graphics. Suitable for high school mathematics education, exploring function graphs, geometric transformations, and parametric concepts.
GeoGebra Commands & Parameters
Root(f) → B, DPoint(yAxis) → ATextfield(f) → inputBox1Vector(H, F) → wVector(C, I) → vSequence(num) → NVector(A, E) → uZip((k, f(k)), k, N - num / 2) → list3Zip(Vector[(0, k), (2, f(k))], k, N - num / 2) → list2