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整数面积

整数面积
几何画板及绘图内容加载中，请稍等……
2019-02-17 19:07
多边形解析几何几何作图
这个范例演示了如何通过几何作图计算整数面积。核心数学概念包括几何图形的面积计算。通过使用GeoGebra命令如Intersect、Point、Segment、Polygon等，可以构造出特定的几何图形并计算其面积。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → Help1
  3. Point(yAxis) → Help2
  4. Segment(A, Help1) → help1
  5. Segment(Help2, A) → help2
  6. Point(help1) → B
  7. Point(help2) → C
  8. Polygon(A, B, D, C) → poly1, a, b, d, c
  9. Text(A3, (xvalue, yvalue - A3)) → B3
  10. Text(A4, (xvalue, yvalue - A4)) → B4
  11. Text(A5, (xvalue, yvalue - A5)) → B5
  12. Text(A6, (xvalue, yvalue - A6)) → B6
  13. Text(A7, (xvalue, yvalue - A7)) → B7
  14. Text(A8, (xvalue, yvalue - A8)) → B8
  15. Text(A9, (xvalue, yvalue - A9)) → B9
  16. Text(A10, (xvalue, yvalue - A10)) → B10
  17. Text(A11, (xvalue, yvalue - A11)) → B11
  18. Text(A2, (xvalue, yvalue - A2)) → B2
  19. Text(A1, (xvalue, yvalue - A1)) → B1
  20. Text(A1, (xvalue + 1 + A1, yvalue + 1)) → C1
  21. Text(A2, (xvalue + 1 + A2, yvalue + 1)) → C2
  22. Text(A3, (xvalue + 1 + A3, yvalue + 1)) → C3
  23. Text(A4, (xvalue + 1 + A4, yvalue + 1)) → C4
  24. Text(A5, (xvalue + 1 + A5, yvalue + 1)) → C5
  25. Text(A6, (xvalue + 1 + A6, yvalue + 1)) → C6
  26. Text(A7, (xvalue + 1 + A7, yvalue + 1)) → C7
  27. Text(A8, (xvalue + 1 + A8, yvalue + 1)) → C8
  28. Text(A9, (xvalue + 1 + A9, yvalue + 1)) → C9
  29. Text(A10, (xvalue + 1 + A10, yvalue + 1)) → C10
  30. Text(A11, (xvalue + 1 + A11, yvalue + 1)) → C11
  31. Text((A1 * 0), (xvalue + 1, yvalue - A1)) → D1
  32. Text((A2 * 0), (xvalue + 1, yvalue - A2)) → D2
  33. Text((A3 * 0), (xvalue + 1, yvalue - A3)) → D3
  34. Text((A4 * 0), (xvalue + 1, yvalue - A4)) → D4
  35. Text((A5 * 0), (xvalue + 1, yvalue - A5)) → D5
  36. Text((A6 * 0), (xvalue + 1, yvalue - A6)) → D6
  37. Text((A7 * 0), (xvalue + 1, yvalue - A7)) → D7
  38. Text((A8 * 0), (xvalue + 1, yvalue - A8)) → D8
  39. Text((A9 * 0), (xvalue + 1, yvalue - A9)) → D9
  40. Text((A10 * 0), (xvalue + 1, yvalue - A10)) → D10
  41. Text((A11 * 0), (xvalue + 1, yvalue - A11)) → D11
  42. Text(A2, (xvalue + 2, yvalue - A2)) → E2
  43. Text(A3, (xvalue + 2, yvalue - A3)) → E3
  44. Text(A4, (xvalue + 2, yvalue - A4)) → E4
  45. Text(A5, (xvalue + 2, yvalue - A5)) → E5
  46. Text(A6, (xvalue + 2, yvalue - A6)) → E6
  47. Text(A7, (xvalue + 2, yvalue - A7)) → E7
  48. Text(A8, (xvalue + 2, yvalue - A8)) → E8
  49. Text(A9, (xvalue + 2, yvalue - A9)) → E9
  50. Text(A10, (xvalue + 2, yvalue - A10)) → E10
  51. Text(A11, (xvalue + 2, yvalue - A11)) → E11
  52. Text(A1, (xvalue + 2, yvalue - A1)) → E1
  53. Text((A2 * 2), (xvalue + 3, yvalue - A2)) → F2
  54. Text((A3 * 2), (xvalue + 3, yvalue - A3)) → F3
  55. Text((A4 * 2), (xvalue + 3, yvalue - A4)) → F4
  56. Text((A5 * 2), (xvalue + 3, yvalue - A5)) → F5
  57. Text((A6 * 2), (xvalue + 3, yvalue - A6)) → F6
  58. Text((A7 * 2), (xvalue + 3, yvalue - A7)) → F7
  59. Text((A8 * 2), (xvalue + 3, yvalue - A8)) → F8
  60. Text((A9 * 2), (xvalue + 3, yvalue - A9)) → F9
  61. Text((A10 * 2), (xvalue + 3, yvalue - A10)) → F10
  62. Text((A11 * 2), (xvalue + 3, yvalue - A11)) → F11
  63. Text((A1 * 2), (xvalue + 3, yvalue - A1)) → F1
  64. Text((A2 * 3), (xvalue + 4, yvalue - A2)) → G2
  65. Text((A3 * 3), (xvalue + 4, yvalue - A3)) → G3
  66. Text((A4 * 3), (xvalue + 4, yvalue - A4)) → G4
  67. Text((A5 * 3), (xvalue + 4, yvalue - A5)) → G5
  68. Text((A6 * 3), (xvalue + 4, yvalue - A6)) → G6
  69. Text((A7 * 3), (xvalue + 4, yvalue - A7)) → G7
  70. Text((A8 * 3), (xvalue + 4, yvalue - A8)) → G8
  71. Text((A9 * 3), (xvalue + 4, yvalue - A9)) → G9
  72. Text((A10 * 3), (xvalue + 4, yvalue - A10)) → G10
  73. Text((A11 * 3), (xvalue + 4, yvalue - A11)) → G11
  74. Text((A1 * 3), (xvalue + 4, yvalue - A1)) → G1
  75. Text((A2 * 4), (xvalue + 5, yvalue - A2)) → H2
  76. Text((A3 * 4), (xvalue + 5, yvalue - A3)) → H3
  77. Text((A4 * 4), (xvalue + 5, yvalue - A4)) → H4
  78. Text((A5 * 4), (xvalue + 5, yvalue - A5)) → H5
  79. Text((A6 * 4), (xvalue + 5, yvalue - A6)) → H6
  80. Text((A7 * 4), (xvalue + 5, yvalue - A7)) → H7
  81. Text((A8 * 4), (xvalue + 5, yvalue - A8)) → H8
  82. Text((A9 * 4), (xvalue + 5, yvalue - A9)) → H9
  83. Text((A10 * 4), (xvalue + 5, yvalue - A10)) → H10
  84. Text((A11 * 4), (xvalue + 5, yvalue - A11)) → H11
  85. Text((A1 * 4), (xvalue + 5, yvalue - A1)) → H1
  86. Text((A1 * 5), (xvalue + 6, yvalue - A1)) → I1
  87. Text((A2 * 5), (xvalue + 6, yvalue - A2)) → I2
  88. Text((A3 * 5), (xvalue + 6, yvalue - A3)) → I3
  89. Text((A4 * 5), (xvalue + 6, yvalue - A4)) → I4
  90. Text((A5 * 5), (xvalue + 6, yvalue - A5)) → I5
  91. Text((A6 * 5), (xvalue + 6, yvalue - A6)) → I6
  92. Text((A7 * 5), (xvalue + 6, yvalue - A7)) → I7
  93. Text((A8 * 5), (xvalue + 6, yvalue - A8)) → I8
  94. Text((A9 * 5), (xvalue + 6, yvalue - A9)) → I9
  95. Text((A10 * 5), (xvalue + 6, yvalue - A10)) → I10
  96. Text((A11 * 5), (xvalue + 6, yvalue - A11)) → I11
  97. Text((A1 * 6), (xvalue + 7, yvalue - A1)) → J1
  98. Text((A2 * 6), (xvalue + 7, yvalue - A2)) → J2
  99. Text((A3 * 6), (xvalue + 7, yvalue - A3)) → J3
  100. Text((A4 * 6), (xvalue + 7, yvalue - A4)) → J4
  101. Text((A5 * 6), (xvalue + 7, yvalue - A5)) → J5
  102. Text((A6 * 6), (xvalue + 7, yvalue - A6)) → J6
  103. Text((A7 * 6), (xvalue + 7, yvalue - A7)) → J7
  104. Text((A8 * 6), (xvalue + 7, yvalue - A8)) → J8
  105. Text((A9 * 6), (xvalue + 7, yvalue - A9)) → J9
  106. Text((A10 * 6), (xvalue + 7, yvalue - A10)) → J10
  107. Text((A11 * 6), (xvalue + 7, yvalue - A11)) → J11
  108. Text((A1 * 7), (xvalue + 8, yvalue - A1)) → K1
  109. Text((A2 * 7), (xvalue + 8, yvalue - A2)) → K2
  110. Text((A3 * 7), (xvalue + 8, yvalue - A3)) → K3
  111. Text((A4 * 7), (xvalue + 8, yvalue - A4)) → K4
  112. Text((A5 * 7), (xvalue + 8, yvalue - A5)) → K5
  113. Text((A6 * 7), (xvalue + 8, yvalue - A6)) → K6
  114. Text((A7 * 7), (xvalue + 8, yvalue - A7)) → K7
  115. Text((A8 * 7), (xvalue + 8, yvalue - A8)) → K8
  116. Text((A9 * 7), (xvalue + 8, yvalue - A9)) → K9
  117. Text((A10 * 7), (xvalue + 8, yvalue - A10)) → K10
  118. Text((A11 * 7), (xvalue + 8, yvalue - A11)) → K11
  119. Text((A1 * 8), (xvalue + 9, yvalue - A1)) → L1
  120. Text((A2 * 8), (xvalue + 9, yvalue - A2)) → L2
  121. Text((A3 * 8), (xvalue + 9, yvalue - A3)) → L3
  122. Text((A4 * 8), (xvalue + 9, yvalue - A4)) → L4
  123. Text((A5 * 8), (xvalue + 9, yvalue - A5)) → L5
  124. Text((A6 * 8), (xvalue + 9, yvalue - A6)) → L6
  125. Text((A7 * 8), (xvalue + 9, yvalue - A7)) → L7
  126. Text((A8 * 8), (xvalue + 9, yvalue - A8)) → L8
  127. Text((A9 * 8), (xvalue + 9, yvalue - A9)) → L9
  128. Text((A10 * 8), (xvalue + 9, yvalue - A10)) → L10
  129. Text((A11 * 8), (xvalue + 9, yvalue - A11)) → L11
  130. Text((A1 * 9), (xvalue + 10, yvalue - A1)) → M1
  131. Text((A2 * 9), (xvalue + 10, yvalue - A2)) → M2
  132. Text((A3 * 9), (xvalue + 10, yvalue - A3)) → M3
  133. Text((A4 * 9), (xvalue + 10, yvalue - A4)) → M4
  134. Text((A5 * 9), (xvalue + 10, yvalue - A5)) → M5
  135. Text((A6 * 9), (xvalue + 10, yvalue - A6)) → M6
  136. Text((A7 * 9), (xvalue + 10, yvalue - A7)) → M7
  137. Text((A8 * 9), (xvalue + 10, yvalue - A8)) → M8
  138. Text((A9 * 9), (xvalue + 10, yvalue - A9)) → M9
  139. Text((A10 * 9), (xvalue + 10, yvalue - A10)) → M10
  140. Text((A11 * 9), (xvalue + 10, yvalue - A11)) → M11
  141. Text((A1 * 10), (xvalue + 11, yvalue - A1)) → N1
  142. Text((A2 * 10), (xvalue + 11, yvalue - A2)) → N2
  143. Text((A3 * 10), (xvalue + 11, yvalue - A3)) → N3
  144. Text((A4 * 10), (xvalue + 11, yvalue - A4)) → N4
  145. Text((A5 * 10), (xvalue + 11, yvalue - A5)) → N5
  146. Text((A6 * 10), (xvalue + 11, yvalue - A6)) → N6
  147. Text((A7 * 10), (xvalue + 11, yvalue - A7)) → N7
  148. Text((A8 * 10), (xvalue + 11, yvalue - A8)) → N8
  149. Text((A9 * 10), (xvalue + 11, yvalue - A9)) → N9
  150. Text((A10 * 10), (xvalue + 11, yvalue - A10)) → N10
  151. Text((A11 * 10), (xvalue + 11, yvalue - A11)) → N11
  152. Polygon((13 + x(B), 0), (13 + x(B) + 1, 0), (13 + x(B) + 1, 12), (13 + x(B), 12)) → poly2, e, f, g, h
  153. Polygon((12, 11 - y(C)), (24, 11 - y(C)), (24, 10 - y(C)), (12, 10 - y(C))) → poly3, i, j, k, l
  154. Segment(E, F) → m
  155. Intersect(h, i) → G
  156. Intersect(h, k) → H
  157. Intersect(f, k) → J
  158. Intersect(f, i) → M
  159. Polygon(H, J, M, G) → poly4, h_1, j_1, m_1, g_1
  160. Polygon(F, N, O, P) → poly5, f_1, n, o, p
  161. Point(f_1) → Q
  162. Polygon(F, Q, R, S) → poly6, f_2, q, r, s
  163. Line((A1, -1), (A1, -2)) → A13
  164. Line((A2, -1), (A2, -2)) → A14
  165. Line((A3, -1), (A3, -2)) → A15
  166. Line((A4, -1), (A4, -2)) → A16
  167. Line((A5, -1), (A5, -2)) → A17
  168. Line((A6, -1), (A6, -2)) → A18
  169. Line((A7, -1), (A7, -2)) → A19
  170. Line((A8, -1), (A8, -2)) → A20
  171. Line((A9, -1), (A9, -2)) → A21
  172. Line((A10, -1), (A10, -2)) → A22
  173. Line((A11, -1), (A11, -2)) → A23
  174. Line((-2, A1), (-1, A1)) → B13
  175. Line((-2, A2), (-1, A2)) → B14
  176. Line((-2, A3), (-1, A3)) → B15
  177. Line((-2, A4), (-1, A4)) → B16
  178. Line((-2, A5), (-1, A5)) → B17
  179. Line((-2, A6), (-1, A6)) → B18
  180. Line((-2, A7), (-1, A7)) → B19
  181. Line((-2, A8), (-1, A8)) → B20
  182. Line((-2, A9), (-1, A9)) → B21
  183. Line((-2, A10), (-1, A10)) → B22
  184. Line((-2, A11), (-1, A11)) → B23
  185. Intersect(A1, a) → T
  186. Intersect(A2, a) → U
  187. Intersect(A3, a) → V
  188. Intersect(A4, a) → W
  189. Intersect(A5, a) → Z
  190. Intersect(A6, a) → A_1
  191. Intersect(A7, a) → B_1
  192. Intersect(A8, a) → C_1
  193. Intersect(A9, a) → D_1
  194. Intersect(A10, a) → E_1
  195. Intersect(A11, a) → F_1
  196. Intersect(A13, a) → C13
  197. Intersect(A14, a) → C14
  198. Intersect(A15, a) → C15
  199. Intersect(A16, a) → C16
  200. Intersect(A17, a) → C17
  201. Intersect(A18, a) → C18
  202. Intersect(A19, a) → C19
  203. Intersect(A20, a) → C20
  204. Intersect(A21, a) → C21
  205. Intersect(A22, a) → C22
  206. Intersect(A23, a) → C23
  207. Intersect(A13, d) → D13
  208. Intersect(A14, d) → D14
  209. Intersect(A15, d) → D15
  210. Intersect(A16, d) → D16
  211. Intersect(A17, d) → D17
  212. Intersect(A18, d) → D18
  213. Intersect(A19, d) → D19
  214. Intersect(A20, d) → D20
  215. Intersect(A21, d) → D21
  216. Intersect(A22, d) → D22
  217. Intersect(A23, d) → D23
  218. Segment(C13, D13) → E13
  219. Segment(C14, D14) → E14
  220. Segment(C15, D15) → E15
  221. Segment(C16, D16) → E16
  222. Segment(C17, D17) → E17
  223. Segment(C18, D18) → E18
  224. Segment(C19, D19) → E19
  225. Segment(C20, D20) → E20
  226. Segment(C21, D21) → E21
  227. Segment(C22, D22) → E22
  228. Segment(C23, D23) → E23
  229. Intersect(B13, c) → F13
  230. Intersect(B14, c) → F14
  231. Intersect(B15, c) → F15
  232. Intersect(B16, c) → F16
  233. Intersect(B17, c) → F17
  234. Intersect(B18, c) → F18
  235. Intersect(B19, c) → F19
  236. Intersect(B20, c) → F20
  237. Intersect(B21, c) → F21
  238. Intersect(B22, c) → F22
  239. Intersect(B23, c) → F23
  240. Intersect(B13, b) → G13
  241. Intersect(B14, b) → G14
  242. Intersect(B15, b) → G15
  243. Intersect(B16, b) → G16
  244. Intersect(B17, b) → G17
  245. Intersect(B18, b) → G18
  246. Intersect(B19, b) → G19
  247. Intersect(B20, b) → G20
  248. Intersect(B21, b) → G21
  249. Intersect(B22, b) → G22
  250. Intersect(B23, b) → G23
  251. Segment(F13, G13) → H13
  252. Segment(F14, G14) → H14
  253. Segment(F15, G15) → H15
  254. Segment(F16, G16) → H16
  255. Segment(F17, G17) → H17
  256. Segment(F18, G18) → H18
  257. Segment(F19, G19) → H19
  258. Segment(F20, G20) → H20
  259. Segment(F21, G21) → H21
  260. Segment(F22, G22) → H22
  261. Segment(F23, G23) → H23
  262. Segment(N, G_1) → t
  263. Segment(G_1, S) → a_1

AI 绘图提示语参考

画一个直角坐标系，然后在第一象限内画一个由四个点组成的矩形，点A在原点，点B、C、D分别在x轴和y轴上，且B和C在x轴上，C和D在y轴上。接着计算并标注这个矩形的面积。
以上提示语为根据原始绘图命令整理而来，仅供参考。