Net of conics through three points
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This example demonstrates the formation and distribution of conic section nets passing through three points. Core math concepts include conic sections, triangles, geometric distribution, and stochastic processes. Construction highlights involve using GeoGebra's ImplicitCurve command with objects A, B, C, l, m, n, and eq4. Suitable for high school and above students to understand the relationship between conic sections and geometric distribution, and the application of parametric equations.
GeoGebra Commands & Parameters
ImplicitCurve(((l * (y - y(A) - ((y(B) - y(A)) / (x(B) - x(A)) * (x - x(A))))) * (y - y(B) - ((y(C) - y(B)) / (x(C) - x(B)) * (x - x(B))))) + ((m * (y - y(A) - ((y(B) - y(A)) / (x(B) - x(A)) * (x - x(A))))) * (y - y(C) - ((y(A) - y(C)) / (x(A) - x(C)) * (x - x(C))))) + ((n * (y - y(A) - ((y(A) - y(C)) / (x(A) - x(C)) * (x - x(A))))) * (y - y(C) - ((y(C) - y(B)) / (x(C) - x(B)) * (x - x(C)))))) → eq4