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使用映射图理解函数与方程

使用映射图理解函数与方程
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2017-10-27 13:23
向量函数解析几何
该范例通过映射图帮助理解函数与方程。核心数学概念包括函数、线性函数、交点等。使用了Point、Element、Textfield、Sequence、Vector等GeoGebra命令。适合高中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Point(i) → T_1
  2. Element(glist, fn) → g
  3. Element(flist, fn) → q
  4. Point(yAxis) → A_x
  5. Textfield(m) → inputBox1
  6. Textfield(s) → inputBoxf
  7. Sequence(Vector[(6, m(q(R(i)))), (8, s(m(q(R(i)))))], i, 1, 5) → Quadgvlist
  8. Sequence(Vector[(4, q(R(i))), (6, m(q(R(i))))], i, 1, 5) → Quadmvlist
  9. Sequence(Vector[(0, i), (2, R(i))], i, 1, 5) → QuadRvlist
  10. Sequence(Vector[(2, R(i)), (4, q(R(i)))], i, 1, 5) → Quadqvlist
  11. Point(i) → K
  12. Vector(K, s_{inv}D) → w
  13. Vector(s_{inv}D, m_{invSinvD}) → z
  14. Vector(m_{invSinvD}, q_{inv+}) → d
  15. Vector(q_{inv+}, I) → h_1
  16. Vector(q_{inv-}, J) → j
  17. Sequence(Vector[(0, i), (2, m(i))], i, -2, 2) → Linmvlist
  18. Sequence(Vector[(2, m(i)), (4, s(m(i)))], i, -2, 2) → Linsvlist
  19. Textfield(h) → inputBox2
  20. Textfield(b) → inputBox3
  21. Textfield(m_*) → inputBox4
  22. Textfield(m) → inputBox5
  23. Textfield(s) → inputBox6
  24. Sequence(Vector[(0, i), (4, s(m(i)))], i, -2, 2) → Linfvlist
  25. Point(b_1) → A
  26. Vector(D, E) → k
  27. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}}, "|_") → text22
  28. TableText({{D1, E1}, {D2, E2}, {D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}}, "|_") → text23
  29. TableText({{G1, H1, I1}, {G2, H2, I2}, {G3, H3, I3}, {G4, H4, I4}, {G5, H5, I5}, {G6, H6, I6}}, "|_") → text24
  30. Vector(E, A) → u_1
  31. TableText({{K1, L1}, {K2, L2}, {K3, L3}, {K4, L4}, {K5, L5}, {K6, L6}}, "|_") → text26
  32. TableText({{N1, O1}, {N2, O2}, {N3, O3}, {N4, O4}, {N5, O5}, {N6, O6}}, "|_") → text27
  33. TableText({{N1, O1, P1, Q1, R1}, {N2, O2, P2, Q2, R2}, {N3, O3, P3, Q3, R3}, {N4, O4, P4, Q4, R4}, {N5, O5, P5, Q5, R5}, {N6, O6, P6, Q6, R6}}, "|_") → text28
  34. Vector(T_1, S_*) → w_1
  35. Vector(S_*, T_*) → u_2
  36. If(fn ≟ 3, (2, (-g(y(T_*)))), (2, π - g(y(T_*)))) → R_2
  37. Vector(T_*, R_1) → v_2
  38. Vector(T_*, R_2) → w_2
  39. Vector(R_1, R_#) → a_2
  40. Vector(R_2, R_*) → b_2
  41. Vector(A, D) → g_2