Wave Propagation of Circles
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This example demonstrates the propagation of circular waves. Key mathematical concepts include the properties of circles and vectors. Using GeoGebra commands Ray and Sequence, the propagation process of circular waves is constructed. Suitable for middle school and above students to learn geometric construction and dynamic geometry.
GeoGebra Commands & Parameters
Ray(A, B) → fRay(A, C) → gSequence(ℯ^((-(((x - k / v)^(2) + y^(2) - sqrt(t - k)^(4)) / sqrt(t - k)^(2))^(2))), k, 0, 3) → L_1
AI Drawing Prompt Reference
Draw the propagation process of circular waves. First, draw two rays starting from point A, with directions B and C respectively. Then, use the sequence command to generate a series of circular waves that start from the origin and spread out with an exponential decay, creating the effect of wave propagation.
The prompt above was compiled from the original drawing commands and is for reference only.