Plotting 3D Surfaces

Plotting 3D Surfaces
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2016-01-29 05:53
This example demonstrates how to plot a three-dimensional surface of the function f(x,y) over a specified domain, involving core math concepts like functions and surface plotting in calculus. It utilizes GeoGebra commands such as Function, Sequence, and Textfield, along with objects like f, x_{min}, x_{max}, y_{min}, y_{max}, g, a, list1, list2, b, c, InputBox1, text1, text2, text3, text4, axes, and button1 for construction. Ideal for high school and above students to understand function graphs and 3D geometry.

GeoGebra Commands & Parameters

  1. Function(f, x_{min}, x_{max}, y_{min}, y_{max}) → g
  2. Sequence(CurveCartesian[k, t, f(k, t), t, y_{min}, y_{max}], k, x_{min}, x_{max}, 1 / a) → list1
  3. Sequence(CurveCartesian[t, k, f(t, k), t, x_{min}, x_{max}], k, y_{min}, y_{max}, 1 / a) → list2
  4. Textfield(f) → InputBox1