分数乘法：通过几何图形理解乘法运算

GeoGebra 命令及参数

1. Point(xAxis) → A
2. Point(xAxis) → B
3. Circle(A, B) → c_{4}
4. Polygon(B, P, b) → poly1, f, q, r, s, t, a_{3}, b_{3}, d_{4}, e, f_1, g_1, g, h_1, C, D, E, F, G, H, I, J, K, h, L, M, O, Q, R, S, T, U, V, i, j, k, l, m, p
5. Segment(P, A) → i_1
6. Segment(A, C) → j_1
7. Segment(D, A) → k_1
8. Segment(E, A) → l_1
9. Segment(F, A) → m_1
10. Segment(G, A) → n_1
11. Segment(H, A) → p_1
12. Segment(I, A) → q_1
13. Segment(J, A) → r_1
14. Segment(K, A) → s_1
15. Segment(L, A) → t_1
16. Segment(M, A) → a_1
17. Segment(O, A) → b_1
18. Segment(Q, A) → c_1
19. Segment(R, A) → d_1
20. Segment(S, A) → e_1
21. Segment(T, A) → f_2
22. Segment(U, A) → g_2
23. Segment(V, A) → h_2
24. Segment(B, A) → i_2
25. Vector(A, W) → u
26. Translate(F, u) → F'
27. Translate(A, u) → A'
28. Segment(F', A') → j_2
29. Translate(E, u) → E'
30. Translate(A, u) → A'_{1}
31. Segment(E', A'_{1}) → k_2
32. Translate(D, u) → D'
33. Translate(A, u) → A'_{2}
34. Segment(D', A'_{2}) → l_2
35. Translate(A, u) → A'_{3}
36. Translate(C, u) → C'
37. Segment(A'_{3}, C') → m_2
38. Translate(P, u) → P'
39. Translate(A, u) → A'_{4}
40. Segment(P', A'_{4}) → n_2
41. Translate(B, u) → B'
42. Translate(A, u) → A'_{5}
43. Segment(B', A'_{5}) → p_2
44. Translate(G, u) → G'
45. Translate(A, u) → A'_{6}
46. Segment(G', A'_{6}) → q_2
47. Translate(H, u) → H'
48. Translate(A, u) → A'_{7}
49. Segment(H', A'_{7}) → r_2
50. Translate(I, u) → I'
51. Translate(A, u) → A'_{8}
52. Segment(I', A'_{8}) → s_2
53. Translate(J, u) → J'
54. Translate(A, u) → A'_{9}
55. Segment(J', A'_{9}) → t_2
56. Translate(c_{4}, u) → c'
57. Translate(O_{1}, u) → Z
58. CircleSector(W, B', Z) → c_2
59. Point(xAxis) → A_1
60. Vector(A, A_1) → v
61. Translate(B, v) → B'_{1}
62. Translate(A, v) → A'_{10}
63. Segment(B'_{1}, A'_{10}) → a_2
64. Translate(P, v) → P'_{1}
65. Translate(A, v) → A'_{11}
66. Segment(P'_{1}, A'_{11}) → b_2
67. Translate(A, v) → A'_{12}
68. Translate(C, v) → C'_{1}
69. Segment(A'_{12}, C'_{1}) → d_2
70. Translate(D, v) → D'_{1}
71. Translate(A, v) → A'_{13}
72. Segment(D'_{1}, A'_{13}) → e_2
73. Translate(E, v) → E'_{1}
74. Translate(A, v) → A'_{14}
75. Segment(E'_{1}, A'_{14}) → f_3
76. Translate(F, v) → F'_{1}
77. Translate(A, v) → A'_{15}
78. Segment(F'_{1}, A'_{15}) → g_3
79. Translate(G, v) → G'_{1}
80. Translate(A, v) → A'_{16}
81. Segment(G'_{1}, A'_{16}) → h_3
82. Translate(H, v) → H'_{1}
83. Translate(A, v) → A'_{17}
84. Segment(H'_{1}, A'_{17}) → i_3
85. Translate(I, v) → I'_{1}
86. Translate(A, v) → A'_{18}
87. Segment(I'_{1}, A'_{18}) → j_3
88. Translate(J, v) → J'_{1}
89. Translate(A, v) → A'_{19}
90. Segment(J'_{1}, A'_{19}) → k_3
91. Translate(c_{4}, v) → c'_{1}
92. CircleSector(A, B, O_{1}) → c_3
93. Point(i_2) → B_1
94. CircleSector(A, B_1, Ptshade) → d_3
95. Segment(C_1, D_1) → l_3
96. Point(l_3) → E_1
97. Vector(C_1, E_1) → w
98. Translate(d_3, w) → e_3
99. Sequence(Segment[(0, 0), (cos((((a * N)) / d * i)), sin((((a * N)) / d * i)))], i, 1, d, 1) → l2
100. GCD(p_{5}) → n_{8}
101. Element(p_{6}, 1) → p_{7}
102. Element(p_{6}, 2) → p_{8}
103. GCD(Element[ans1, 1], Element[ans1, 2]) → ans2
104. Element(ans3, 2) → ans4
105. Rotate(B'_{1}, (360°) / n, A_1) → F_1
106. Angle(B'_{1}, A_1, F_1) → α
107. Polygon(B'_{1}, F_1, n) → poly2, m_3, i_4, j_4, k_4, l_4, m_4, n_4, q_4, r_4, s_4, t_4, n_3, a_4, b_4, e_4, f_5, g_5, h_5, i_5, j_5, k_5, l_5, q_3, m_5, n_5, q_5, r_5, s_5, t_5, a_5, G_1, H_1, I_1, r_3, J_1, K_1, L_1, M_1, N_1, P_1, Q_1, R_1, S_1, T_1, s_3, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, t_3, G_2, H_2, I_2, J_2, K_2, L_2, M_2, O_2, P_2, Q_2, f_4, R_2, g_4, h_4
108. Segment(S_2, F_1) → b_5
109. Segment(G_1, S_2) → c_5
110. Segment(H_1, S_2) → d_5
111. Segment(I_1, S_2) → e_5
112. Segment(J_1, S_2) → f_6
113. Segment(K_1, S_2) → g_6
114. Segment(L_1, S_2) → h_6
115. Segment(M_1, S_2) → i_6
116. Segment(N_1, S_2) → j_6
117. Segment(P_1, S_2) → k_6
118. Segment(Q_1, S_2) → l_6
119. Segment(R_1, S_2) → m_6
120. Segment(S_1, S_2) → n_6
121. Segment(T_1, S_2) → q_6
122. Segment(S_2, U_1) → r_6
123. Segment(V_1, S_2) → s_6
124. Segment(W_1, S_2) → t_6
125. Segment(Z_1, S_2) → a_6
126. Segment(A_2, S_2) → b_6
127. Segment(S_2, B_2) → c_6
128. Segment(C_2, S_2) → d_6
129. Segment(D_2, S_2) → e_6
130. Segment(E_2, S_2) → f_7
131. Segment(F_2, S_2) → g_7
132. Segment(G_2, S_2) → h_7
133. Segment(S_2, H_2) → i_7
134. Segment(S_2, I_2) → j_7
135. Segment(S_2, J_2) → k_7
136. Segment(S_2, K_2) → l_7
137. Segment(S_2, L_2) → m_7
138. Segment(S_2, M_2) → n_7
139. Segment(S_2, O_2) → q_7
140. Segment(S_2, P_2) → r_7
141. Segment(S_2, Q_2) → s_7
142. Segment(S_2, R_2) → t_7
143. Segment(S_2, B'_{1}) → a_7
144. Textfield(ansnum) → InputBox1
145. Random(2, 5) → givena2
146. Random(2, 5) → givenb2