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35个预定义函数集合

35个预定义函数集合
几何画板及绘图内容加载中，请稍等……
2013-11-08 18:38
函数解析几何参数方程滑块动画函数图像
所属专题 surface 3D /3D-Oberflächen 1 surface 3D /3D-Oberflächen 1
该范例展示了35个预定义的三维函数图形，涉及函数、曲面和参数方程。通过使用GeoGebra命令如If、Sequence、Vector等，可以动态调整参数观察函数图像的变化。适合高中及以上学生和教师使用。

GeoGebra 命令及参数

  1. If(jg, t, x_{min} + x_{max} - t) → tj
  2. Corner(3) → Eckpunkt3
  3. Corner(2) → Eckpunkt2
  4. If(c, β, y(C - Eckpunkt2) / dEy * c_{Move}) → β1
  5. Corner(1) → Eckpunkt1
  6. If(c, α, x(C - Eckpunkt1) / dEx * c_{Move}) → α1
  7. If(x ≟ 0, 1, sin(x) / x) → sinc
  8. Element(lFr, Funktion) → f
  9. If(a ∧ bP, tj) → tt2
  10. If(a ∧ (¬bP), tj) → tt1
  11. Mod(β1, 6.283) → β2
  12. Mod(α1, 6.283) → α2
  13. Sequence(a11 * Element[zWX1, i] + a12 * Element[zWY1, i] + a13 * Element[zWZ1, i], i, 1, 4) → zWX1'
  14. Element(zWW_0, 3) → zW_2
  15. Element(zWW_0, 4) → zW_1
  16. Element(zWW_0, 2) → zW_3
  17. Polygon(Eckpunkt1, Eck11, Eck12, (x(Eckpunkt1), y(Eck12))) → Vieleck2, eckpunkt1, eck11, eck12, a_1
  18. Sequence(Segment[Element[zl10, i], Element[zl10, i + 1]], i, 1, 7) → BoxStr
  19. Vector(Element[zl10, 4], Element[zl10, 1]) → zVectx
  20. Vector(Element[zl10, 4], Element[zl10, 3]) → zVecty
  21. Vector(Element[zl10, 4], Element[zl10, 5]) → zVectz
  22. Polygon(Eck11, Eckpunkt2, Eckpunkt3, Eck12) → Vieleck1, eck11_1, eckpunkt2, eckpunkt3, eck12_1
  23. Element(zTT, zW_1) → zY1
  24. Element(zTT, zW_2) → zY2
  25. Element(zTT, zW_3) → zY3
  26. Polygon(zTT) → zTTPoly, , , ,
  27. Element(zl10, zW_1) → zlN11
  28. Element(zl10, 9 - zW_1) → zlN111
  29. Element(zl10, zW_2) → zlN22
  30. Element(zl10, 9 - zW_2) → zlN222
  31. Element(zl10, zW_3) → zlN33
  32. Element(zWW_0, 1) → zW_4
  33. Element(zl10, zW_4) → zlN44
  34. Polygon({zlN11, zlN22, zlN222, zlN111}) → Vgrund01, , , ,
  35. Polygon(Sequence[Element[zl10, i], i, 1, 4]) → Vgrund000, , , ,
  36. Element(zl10, 7) → P_R
  37. Element(zl10, 8) → P_L
  38. Polygon({Element[zl10, 1], Element[zl10, 2], Element[zl10, 7], Element[zl10, 8]}) → Vvrd0, , , ,
  39. Segment(P_R, P_L) → StrRL
  40. Polygon(Sequence[Element[zl10, i], i, 9, 12]) → zlPoly, n, r, s, c_1
  41. Ray(B, Element[zl10, 13]) → Strx
  42. Ray(B, Element[zl10, 14]) → Stry
  43. Ray(B, Element[zl10, 15]) → Strz
  44. Textfield(x_{min}) → inputBox1
  45. Textfield(x_{max}) → inputBox4
  46. Textfield(v_{Animation}) → inputBox8
  47. Textfield(Step) → inputBox7
  48. Textfield(N) → inputBox9
  49. If(b, t, t0) → Rot
  50. If(b, exp(t), sin(π * t0)) → Grün
  51. If(b, ℯ^(-t), 1 - (t0 - 0.5)^(2)) → Blau
  52. Textfield(t) → inputBox10
  53. Textfield(Th) → inputBox3
  54. Textfield(y_{min}) → inputBox5
  55. Textfield(z_{min}) → inputBox6
  56. Textfield(z_{max}) → inputBox11
  57. Textfield(y_{max}) → inputBox12
  58. Textfield(g00r) → inputBox2
  59. Segment((x_{min}, 0), (x_{max}, 0)) → Sx
  60. Segment((0, y_{min}), (0, y_{max})) → Sy
  61. Point(Sx) → Ax
  62. Point(Sy) → Ay
  63. Locus(A', y0) → locu
  64. Locus(A, y0) → locy
  65. Locus(A', x0) → locv
  66. Textfield(Funktion) → inputBox13
  67. Locus(M5_{1}, Ay) → M6_{1}
  68. Locus(M5_{2}, Ay) → M6_{2}
  69. Locus(M5_{3}, Ay) → M6_{3}
  70. Locus(M5_{4}, Ay) → M6_{4}
  71. Locus(M5_{5}, Ay) → M6_{5}
  72. Locus(M5_{6}, Ay) → M6_{6}
  73. Locus(M5_{7}, Ay) → M6_{7}
  74. Locus(M5_{8}, Ay) → M6_{8}
  75. Locus(M5_{9}, Ay) → M6_{9}
  76. Locus(M5_{10}, Ay) → M6_{10}
  77. Locus(M5_{11}, Ay) → M6_{11}
  78. Locus(M5_{12}, Ay) → M6_{12}
  79. Locus(M5_{13}, Ay) → M6_{13}
  80. Locus(M5_{14}, Ay) → M6_{14}
  81. Locus(M5_{15}, Ay) → M6_{15}
  82. Locus(M5_{16}, Ay) → M6_{16}
  83. Locus(M5_{17}, Ay) → M6_{17}
  84. Locus(M5_{18}, Ay) → M6_{18}
  85. Locus(M5_{19}, Ay) → M6_{19}
  86. Locus(M5_{20}, Ay) → M6_{20}
  87. Locus(M5_{21}, Ay) → M6_{21}
  88. Locus(M5_{22}, Ay) → M6_{22}
  89. Locus(M5_{23}, Ay) → M6_{23}
  90. Locus(M5_{24}, Ay) → M6_{24}
  91. Locus(M5_{25}, Ay) → M6_{25}
  92. Locus(M5_{26}, Ay) → M6_{26}
  93. Locus(M5_{27}, Ay) → M6_{27}
  94. Locus(M5_{28}, Ay) → M6_{28}
  95. Locus(M5_{29}, Ay) → M6_{29}
  96. Locus(M5_{30}, Ay) → M6_{30}
  97. Locus(M5_{31}, Ay) → M6_{31}
  98. Locus(M5_{32}, Ay) → M6_{32}
  99. Locus(M5_{33}, Ay) → M6_{33}
  100. Locus(M5_{34}, Ay) → M6_{34}
  101. Locus(M5_{35}, Ay) → M6_{35}
  102. Locus(M5_{36}, Ay) → M6_{36}
  103. Locus(M5_{37}, Ay) → M6_{37}
  104. Locus(M5_{38}, Ay) → M6_{38}
  105. Locus(M5_{39}, Ay) → M6_{39}
  106. Locus(M5_{40}, Ay) → M6_{40}
  107. Locus(M5_{41}, Ay) → M6_{41}
  108. Locus(M5_{42}, Ay) → M6_{42}
  109. Locus(M5_{43}, Ay) → M6_{43}
  110. Locus(M5_{44}, Ay) → M6_{44}
  111. Locus(M5_{45}, Ay) → M6_{45}
  112. Locus(M5_{46}, Ay) → M6_{46}
  113. Locus(M5_{47}, Ay) → M6_{47}
  114. Locus(M5_{48}, Ay) → M6_{48}
  115. Locus(M5_{49}, Ay) → M6_{49}
  116. Locus(M5_{50}, Ay) → M6_{50}
  117. Locus(M5_{51}, Ay) → M6_{51}
  118. Locus(M5_{52}, Ay) → M6_{52}
  119. Locus(M5_{53}, Ay) → M6_{53}
  120. Locus(M5_{54}, Ay) → M6_{54}
  121. Locus(M5_{55}, Ay) → M6_{55}
  122. Locus(M5_{56}, Ay) → M6_{56}
  123. Locus(M5_{57}, Ay) → M6_{57}
  124. Locus(M5_{58}, Ay) → M6_{58}
  125. Locus(M5_{59}, Ay) → M6_{59}
  126. Locus(M5_{60}, Ay) → M6_{60}
  127. Locus(M5_{61}, Ay) → M6_{61}
  128. Locus(M5_{62}, Ay) → M6_{62}
  129. Locus(M5_{63}, Ay) → M6_{63}
  130. Locus(M5_{64}, Ay) → M6_{64}
  131. Locus(M5_{65}, Ay) → M6_{65}
  132. Locus(M5_{66}, Ay) → M6_{66}
  133. Locus(M5_{67}, Ay) → M6_{67}
  134. Locus(M5_{68}, Ay) → M6_{68}
  135. Locus(M5_{69}, Ay) → M6_{69}
  136. Locus(M5_{70}, Ay) → M6_{70}
  137. Locus(M5_{71}, Ay) → M6_{71}
  138. Locus(M5_{72}, Ay) → M6_{72}
  139. Locus(M5_{73}, Ay) → M6_{73}
  140. Locus(M5_{74}, Ay) → M6_{74}
  141. Locus(M5_{75}, Ay) → M6_{75}
  142. Locus(M5_{76}, Ay) → M6_{76}
  143. Locus(M5_{77}, Ay) → M6_{77}
  144. Locus(M5_{78}, Ay) → M6_{78}
  145. Locus(M5_{79}, Ay) → M6_{79}
  146. Locus(M5_{80}, Ay) → M6_{80}
  147. Locus(M5_{81}, Ay) → M6_{81}
  148. Locus(M5_{82}, Ay) → M6_{82}
  149. Locus(M5_{83}, Ay) → M6_{83}
  150. Locus(M5_{84}, Ay) → M6_{84}
  151. Locus(M5_{85}, Ay) → M6_{85}
  152. Locus(M5_{86}, Ay) → M6_{86}
  153. Locus(M5_{87}, Ay) → M6_{87}
  154. Locus(M5_{88}, Ay) → M6_{88}
  155. Locus(M5_{89}, Ay) → M6_{89}
  156. Locus(M5_{90}, Ay) → M6_{90}
  157. Locus(M5_{91}, Ay) → M6_{91}
  158. Locus(M5_{92}, Ay) → M6_{92}
  159. Locus(M5_{93}, Ay) → M6_{93}
  160. Locus(M5_{94}, Ay) → M6_{94}
  161. Locus(M5_{95}, Ay) → M6_{95}
  162. Locus(M5_{96}, Ay) → M6_{96}
  163. Locus(M5_{97}, Ay) → M6_{97}
  164. Locus(M5_{98}, Ay) → M6_{98}
  165. Locus(M5_{99}, Ay) → M6_{99}
  166. Locus(M5_{100}, Ay) → M6_{100}
  167. Locus(M5_{101}, Ay) → M6_{101}

AI 绘图提示语参考

绘制一个包含35个预定义3D函数的集合，包括函数、曲面和参数方程。使用滑块调整参数，观察函数图的变化。首先绘制基本的三角函数图，如正弦函数，然后添加参数方程和曲面，最后通过滑块动态调整参数，观察图形变化。
以上提示语为根据原始绘图命令整理而来，仅供参考。