Cubic Surface and Its Tangent Plane
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This example demonstrates a cubic surface and its tangent plane. By adjusting parameters with sliders, you can dynamically observe the changes in the surface. Key mathematical concepts include cubic functions and tangent planes. The construction uses the GeoGebra command OrthogonalLine to create the tangent plane. Suitable for high school mathematics education and learning three-dimensional geometry.
GeoGebra Commands & Parameters
OrthogonalLine(A, xOyPlane) → fOrthogonalLine(B, b) → g
AI Drawing Prompt Reference
Draw a cubic surface and its tangent plane. By adjusting the parameters with sliders, observe the changes in the surface and the tangent plane. First, draw a cubic surface, then at a point on the surface, draw a tangent plane perpendicular to the xy-plane.
The prompt above was compiled from the original drawing commands and is for reference only.