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一元一次方程（带分数）

一元一次方程（带分数）
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2017-11-01 01:15
本范例演示如何通过GeoGebra解决一元一次方程（带分数）。核心数学概念包括方程和分数。使用了RandomElement, Denominator, LCM, Solve等命令。适合初中数学教学，帮助学生理解方程的解法。

GeoGebra 命令及参数

  1. RandomElement(L_1) → e
  2. RandomElement(L_1) → d
  3. Denominator(f) → u
  4. RandomElement(L_1) → b
  5. RandomElement(L_1) → a
  6. Denominator(c) → o
  7. LCM(o, u) → g
  8. Solve(h) → L_2
  9. Circle(A, 2.5) → k
  10. Circle(E, 2.5) → s
  11. Circle(D, 2.5) → r
  12. Circle(B, 2.5) → p
  13. Circle(C, 2.5) → q
  14. Circle(F, 2.5) → t
  15. Circle(I, 2.5) → e_1
  16. Circle(J, 2.5) → f_1
  17. Circle(H, 2.5) → d_1
  18. Circle(G, 2.5) → c_1
  19. OrthogonalLine(A, xAxis) → i
  20. OrthogonalLine(E, xAxis) → j
  21. OrthogonalLine(D, xAxis) → l
  22. OrthogonalLine(B, xAxis) → m
  23. OrthogonalLine(C, xAxis) → n
  24. OrthogonalLine(F, xAxis) → g_1
  25. OrthogonalLine(I, xAxis) → h_1
  26. OrthogonalLine(J, xAxis) → i_1
  27. OrthogonalLine(H, xAxis) → j_1
  28. OrthogonalLine(G, xAxis) → k_1
  29. Intersect(k, i, 2) → K
  30. Intersect(s, j, 2) → L
  31. Intersect(r, l, 2) → M
  32. Intersect(p, m, 2) → N
  33. Intersect(q, n, 2) → O
  34. Intersect(t, g_1, 2) → P
  35. Intersect(e_1, h_1, 2) → Q
  36. Intersect(f_1, i_1, 2) → R
  37. Intersect(d_1, j_1, 2) → S
  38. Intersect(c_1, k_1, 2) → T
  39. Sequence(Rotate[K, (-((360° * i / g))), A], i, 1, g) → L_3
  40. Sequence(Rotate[K, (-((360° * i / o))), A], i, 1, o) → L_4
  41. Sequence(Rotate[L, (-((360° * i / g))), E], i, 1, g) → L_5
  42. Sequence(Rotate[L, (-((360° * i / o))), E], i, 1, o) → L_6
  43. Sequence(Rotate[M, (-((360° * i / g))), D], i, 1, g) → L_7
  44. Sequence(Rotate[M, (-((360° * i / o))), D], i, 1, o) → L_8
  45. Sequence(Rotate[N, (-((360° * i / g))), B], i, 1, g) → L_9
  46. Sequence(Rotate[N, (-((360° * i / o))), B], i, 1, o) → L_{10}
  47. Sequence(Rotate[O, (-((360° * i / g))), C], i, 1, g) → L_{11}
  48. Sequence(Rotate[O, (-((360° * i / o))), C], i, 1, o) → L_{12}
  49. Sequence(Rotate[P, (-((360° * i / g))), F], i, 1, g) → L_{13}
  50. Sequence(Rotate[P, (-((360° * i / u))), F], i, 1, u) → L_{14}
  51. Sequence(Rotate[Q, (-((360° * i / g))), I], i, 1, g) → L_{15}
  52. Sequence(Rotate[Q, (-((360° * i / u))), I], i, 1, u) → L_{16}
  53. Sequence(Rotate[R, (-((360° * i / g))), J], i, 1, g) → L_{17}
  54. Sequence(Rotate[R, (-((360° * i / u))), J], i, 1, u) → L_{18}
  55. Sequence(Rotate[S, (-((360° * i / g))), H], i, 1, g) → L_{19}
  56. Sequence(Rotate[S, (-((360° * i / u))), H], i, 1, u) → L_{20}
  57. Sequence(Rotate[T, (-((360° * i / g))), G], i, 1, g) → L_{21}
  58. Sequence(Rotate[T, (-((360° * i / u))), G], i, 1, u) → L_{22}
  59. Sequence(Segment[A, Element[L_3, i]], i, 1, g) → L_{23}
  60. Sequence(Segment[A, Element[L_4, i]], i, 1, o) → L_{24}
  61. Sequence(Segment[E, Element[L_5, i]], i, 1, g) → L_{25}
  62. Sequence(Segment[E, Element[L_6, i]], i, 1, o) → L_{26}
  63. Sequence(Segment[D, Element[L_7, i]], i, 1, g) → L_{27}
  64. Sequence(Segment[D, Element[L_8, i]], i, 1, o) → L_{28}
  65. Sequence(Segment[B, Element[L_9, i]], i, 1, g) → L_{29}
  66. Sequence(Segment[B, Element[L_{10}, i]], i, 1, o) → L_{30}
  67. Sequence(Segment[C, Element[L_{11}, i]], i, 1, g) → L_{31}
  68. Sequence(Segment[C, Element[L_{12}, i]], i, 1, o) → L_{32}
  69. Sequence(Segment[F, Element[L_{13}, i]], i, 1, g) → L_{33}
  70. Sequence(Segment[I, Element[L_{15}, i]], i, 1, g) → L_{35}
  71. Sequence(Segment[I, Element[L_{16}, i]], i, 1, u) → L_{36}
  72. Sequence(Segment[F, Element[L_{14}, i]], i, 1, u) → L_{34}
  73. Sequence(Segment[J, Element[L_{17}, i]], i, 1, g) → L_{37}
  74. Sequence(Segment[J, Element[L_{18}, i]], i, 1, u) → L_{38}
  75. Sequence(Segment[H, Element[L_{19}, i]], i, 1, g) → L_{39}
  76. Sequence(Segment[H, Element[L_{20}, i]], i, 1, u) → L_{40}
  77. Sequence(Segment[G, Element[L_{21}, i]], i, 1, g) → L_{41}
  78. Sequence(Segment[G, Element[L_{22}, i]], i, 1, u) → L_{42}
  79. Numerator(c) → v
  80. Numerator(f) → w
  81. Segment(U, V) → l_1
  82. OrthogonalLine(V, l_1) → m_1
  83. Circle(V, 5) → p_1
  84. Intersect(p_1, m_1, 1) → W
  85. Intersect(p_1, m_1, 2) → Z
  86. Segment(W, Z) → n_1
  87. Div(abs(a), abs(b)) → s_1
  88. Circle(A, K) → c_2
  89. Circle(E, L) → d_2
  90. Circle(D, M) → e_2
  91. Circle(B, N) → f_2
  92. Circle(C, O) → g_2
  93. Circle(F, P) → h_2
  94. Circle(I, Q) → k_2
  95. Circle(J, R) → p_2
  96. Circle(H, S) → q_2
  97. Circle(G, T) → r_2
  98. Div(abs(d), abs(e)) → u_1
  99. If(c < 0, (-s_1), s_1) → v_1
  100. Numerator(t_1) → w_1
  101. Sector(k, Element[L_4, abs(w_1)], K) → s_2
  102. Sector(s, Element[L_6, abs(w_1)], L) → t_2
  103. Sector(r, Element[L_8, abs(w_1)], M) → c_3
  104. Sector(p, Element[L_{10}, abs(w_1)], N) → d_3
  105. Sector(q, Element[L_{12}, abs(w_1)], O) → e_3
  106. Div(abs(d), abs(e)) → a_2
  107. If(f < 0, (-a_2), a_2) → b_2
  108. Numerator(i_2) → j_2
  109. Sector(t, Element[L_{14}, abs(j_2)], P) → f_3
  110. Sector(e_1, Element[L_{16}, abs(j_2)], Q) → g_3
  111. Sector(f_1, Element[L_{18}, abs(j_2)], R) → h_3
  112. Sector(d_1, Element[L_{20}, abs(j_2)], S) → k_3
  113. Sector(c_1, Element[L_{22}, abs(j_2)], T) → p_3
  114. Vector(A, A_1) → u_2
  115. Translate(L_{23}, u_2) → L_{43}
  116. Translate(L_{24}, u_2) → L_{44}
  117. Translate(L_{25}, u_2) → L_{45}
  118. Translate(L_{26}, u_2) → L_{46}
  119. Translate(L_{27}, u_2) → L_{47}
  120. Translate(L_{28}, u_2) → L_{48}
  121. Translate(L_{29}, u_2) → L_{49}
  122. Translate(L_{30}, u_2) → L_{50}
  123. Translate(L_{31}, u_2) → L_{51}
  124. Translate(L_{32}, u_2) → L_{52}
  125. Translate(s, u_2) → s'
  126. Translate(r, u_2) → r'
  127. Translate(q, u_2) → q'
  128. Translate(p, u_2) → p'
  129. Translate(k, u_2) → k'
  130. Translate(c_2, u_2) → c_4
  131. Translate(d_2, u_2) → d_4
  132. Translate(e_2, u_2) → e_4
  133. Translate(f_2, u_2) → f_4
  134. Translate(g_2, u_2) → g_4
  135. Translate(s_2, u_2) → s_4
  136. Translate(t_2, u_2) → t_4
  137. Translate(c_3, u_2) → c_5
  138. Translate(d_3, u_2) → d_5
  139. Translate(e_3, u_2) → e_5
  140. Vector(A, F) → v_2
  141. Translate(L_{43}, v_2) → L_{53}
  142. Translate(L_{44}, v_2) → L_{54}
  143. Translate(L_{45}, v_2) → L_{55}
  144. Translate(L_{46}, v_2) → L_{56}
  145. Translate(L_{47}, v_2) → L_{57}
  146. Translate(L_{48}, v_2) → L_{58}
  147. Translate(L_{49}, v_2) → L_{59}
  148. Translate(L_{50}, v_2) → L_{60}
  149. Translate(L_{51}, v_2) → L_{61}
  150. Translate(L_{52}, v_2) → L_{62}
  151. Translate(c_4, v_2) → q_3
  152. Translate(d_4, v_2) → r_3
  153. Translate(e_4, v_2) → s_3
  154. Translate(f_4, v_2) → t_3
  155. Translate(g_4, v_2) → h_4
  156. Translate(k', v_2) → k''
  157. Translate(p', v_2) → p''
  158. Translate(q', v_2) → q''
  159. Translate(r', v_2) → r''
  160. Translate(s', v_2) → s''
  161. Translate(t_4, v_2) → k_4
  162. Translate(s_4, v_2) → p_4
  163. Translate(c_5, v_2) → q_4
  164. Translate(d_5, v_2) → r_4
  165. Translate(e_5, v_2) → f_5
  166. Textfield(A1) → InputBox1
  167. Textfield(A2) → InputBox2
  168. Textfield(A3) → InputBox3

AI 绘图提示语参考

画一个包含五个圆的图形，每个圆的半径为2.5，圆心分别为A、E、D、B、C。然后画五条与x轴垂直的直线，分别通过A、E、D、B、C。接着，以A为中心，将第一条直线旋转360度/g次，以E为中心，将第二条直线旋转360度/o次，以此类推，分别旋转其他直线。最后，画出所有圆与直线的交点，并用这些交点绘制一系列旋转的图形。
以上提示语为根据原始绘图命令整理而来，仅供参考。