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Visualization of Real Number Sets

Visualization of Real Number Sets
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2017-07-29 03:00
Coordinate GeometryGeometric Construction
This example demonstrates the geometric representation and classification of real number sets through dynamic graphics. Key math concepts include real number classification (rational, irrational), set operations, and number line representation. Construction highlights involve using commands like Point, Circle, Polygon to create geometric objects for different number sets (e.g., N_c for natural numbers). Suitable for high school mathematics teaching to intuitively understand the structure and properties of the real number system.

GeoGebra Commands & Parameters

  1. Point(Line[N_c, y = (-x)]) → N_r
  2. Circle(N_c, N_r) → N
  3. Point(Line[W_c, y = (-x)]) → W_r
  4. Circle(W_c, W_r) → W
  5. Point(Line[Z_c, y = (-x)]) → Z_r
  6. Circle(Z_c, Z_r) → Z
  7. Point(Line[Q_c, y = (-x)]) → Q_r
  8. Circle(Q_c, Q_r) → Q
  9. Point(Line[R_c, y = (-x)]) → R_r
  10. Circle(R_c, R_r) → R
  11. Point(Line[C_c, y = (-x)]) → C_r
  12. Circle(C_c, C_r) → C
  13. Corner(5) → A
  14. Polygon(Corner[1], Corner[2], Corner[3], Corner[4]) → blankout, a, b, c, d