Complex Numbers: What's My Rule? by Steve Phelps
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Modeling with Complex Numbers
Modeling with Complex Numbers
Modeling with Complex Numbers
This example demonstrates the dynamic relationship between three complex number points A, B, and C, where point C moves in response to dragging points A and B. Core math concepts include geometric representation of complex numbers, transformations, and locus. It uses GeoGebra commands like Intersect, Circle, and Mirror, involving objects A, C_1, B, D, c, C. Suitable for high school and above students studying complex number geometry, transformations, and locus problems.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → DCircle(D, A) → cMirror(B, c) → C
AI Drawing Prompt Reference
Draw a graph with three points A, B, and C. Points A and B can be moved freely, and point C will adjust automatically based on their positions. Ensure the graph includes these points and shows their dynamic relationship.
The prompt above was compiled from the original drawing commands and is for reference only.