Differential Calculus & Geometry Construction Example

Differential Calculus & Geometry Construction Example
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2017-02-15 00:06
This example demonstrates the process of constructing differential geometry figures and calculating expected values using GeoGebra. It involves core mathematical concepts such as differential calculus, expected value, rectangle, cube, and conic sections. The construction uses commands like Point, Vector, Textfield, and objects including a, base, e, k, A, m, a_1, b_1, f1, f2, B, C, u, v, c, text2, text3, inputBox1, inputBox2, d, f3, D, w, text5, inputBox3, button1, button2, button3, button4, text1, g_x, fg_x, hfg_x, x_0, l, inputBox4_1, z, E, g, F. It is suitable for high school students and mathematics enthusiasts learning differential calculus and geometric construction methods.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Vector(A, B) → u
  3. Vector(B, C) → v
  4. Textfield(f1) → inputBox1
  5. Textfield(f2) → inputBox2
  6. Vector(C, D) → w
  7. Textfield(f3) → inputBox3
  8. Textfield(m) → inputBox4_1
  9. Vector(A, D) → z
  10. Vector(A, F) → i
  11. Vector(F, C) → h
  12. Vector(C, D) → j
  13. Vector(B, D) → n
  14. Vector(D, B) → p
  15. Point(yAxis) → H
  16. Vector(H, I) → q
  17. Vector(H, K) → r
  18. Vector(K, J) → s
  19. Vector(I, J) → t
  20. Vector(J, M) → u_1
  21. Textfield(base) → inputBox4
  22. Vector(I, M) → v_1
  23. Vector(M, I) → w_1
  24. Vector(H', G') → z_1
  25. Vector(H', K') → c_1
  26. Vector(K', J') → e_1
  27. Vector(G', J') → d_1