MathPlotAI Logo MathPlotAI

Graphical Construction of Logarithm

Graphical Construction of Logarithm
Loading the math board and drawing, please wait…
2020-05-07 23:44
FunctionInequalityGraphing
This example demonstrates the graphical construction of logarithmic functions using geometric methods. Key mathematical concepts include logarithmic functions, inequalities, and function graphs. Using GeoGebra commands such as Intersect, Point, Circle, etc., the nature of logarithmic functions can be intuitively understood. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Point(c) → C
  5. Tangent(C, c) → f,
  6. Intersect(f, xAxis) → D
  7. Line(A, C) → g
  8. OrthogonalLine(D, xAxis) → h
  9. Intersect(h, g) → E
  10. Line(E, f) → i
  11. Intersect(i, xAxis) → F
  12. OrthogonalLine(F, xAxis) → j
  13. Intersect(j, g) → G
  14. Line(G, i) → k
  15. Intersect(k, xAxis) → H
  16. OrthogonalLine(H, xAxis) → l
  17. Intersect(l, g) → I
  18. Line(I, k) → m
  19. Intersect(m, xAxis) → J
  20. OrthogonalLine(J, xAxis) → n
  21. Intersect(n, g) → K
  22. Line(K, m) → p
  23. Intersect(p, xAxis) → L
  24. OrthogonalLine(L, xAxis) → q
  25. Intersect(q, g) → M
  26. Circle(A, E) → d
  27. Circle(A, G) → e
  28. Circle(A, I) → c1
  29. Circle(A, K) → d1
  30. Circle(A, M) → e1
  31. Intersect(d, xAxis) → N_1, N_2
  32. Intersect(e, xAxis) → O_1, O_2
  33. Intersect(c1, xAxis) → P_1, P_2
  34. Intersect(d1, xAxis) → Q_1, Q_2
  35. Intersect(e1, xAxis) → R_1, R_2