Mapping 1/z GeoGebra Demonstration
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This example demonstrates the geometric transformation of the mapping 1/z in the complex plane using GeoGebra. It involves core mathematical concepts such as complex number mapping, geometric transformations, and the conversion between polar and Cartesian coordinates. Key GeoGebra commands and objects used include Line, Circle, Point, Locus, SelectedIndex, LaTeX, If, Matrix, and Slider. Suitable for high school and above students to understand the properties and visual representation of complex function transformations.
GeoGebra Commands & Parameters
Line(A, B) → fCircle(C, r) → cPoint(f) → DPoint(c) → ELocus(w_1, D) → loc1Locus(w_2, E) → loc2SelectedIndex(ListOptions) → indexLaTeX(w_1, true, true) → text2If(w_1 ≟ w_1, text2, text4) → text3LaTeX(w_2, true, true) → text5If(sqrt(reE^(2) + imE^(2)) ≠ 0, text5, text6) → text7