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矩形的面积

矩形的面积
几何画板及绘图内容加载中，请稍等……
2017-04-17 09:52
多边形几何作图
这个范例演示了如何通过几何作图来计算矩形的面积。核心数学概念包括矩形的性质和面积计算方法。通过使用GeoGebra命令如Polygon和Segment，可以构造多个矩形并观察其面积变化。适合初中及以上学生学习几何和面积计算。

GeoGebra 命令及参数

  1. Polygon((2, 0), (3, 0), (3, 1), (2, 1)) → sqr_1, a_1, b_1, c_1, d_1
  2. Polygon((3, 0), (4, 0), (4, 1), (3, 1)) → sqr_2, a_2, b_2, c_2, d_2
  3. Polygon((4, 0), (5, 0), (5, 1), (4, 1)) → sqr_3, a_3, b_3, c_3, d_3
  4. Polygon((5, 0), (6, 0), (6, 1), (5, 1)) → sqr_4, a_4, b_4, c_4, d_4
  5. Polygon((6, 0), (7, 0), (7, 1), (6, 1)) → sqr_5, a_5, b_5, c_5, d_5
  6. Polygon((1, -2), (2, -2), (2, -1), (1, -1)) → sqr_6, a_6, b_6, c_6, d_6
  7. Polygon((2, -2), (3, -2), (3, -1), (2, -1)) → sqr_7, a_7, b_7, c_7, d_7
  8. Polygon((1, -3), (2, -3), (2, -2), (1, -2)) → sqr_8, a_8, b_8, c_8, d_8
  9. Polygon((2, -3), (3, -3), (3, -2), (2, -2)) → sqr_9, a_9, b_9, c_9, d_9
  10. Polygon((1, -4), (2, -4), (2, -3), (1, -3)) → sqr_{10}, a_{10}, b_{10}, c_{10}, d_{10}
  11. Polygon((2, -4), (3, -4), (3, -3), (2, -3)) → sqr_{11}, a_{11}, b_{11}, c_{11}, d_{11}
  12. Polygon((1, -5), (2, -5), (2, -4), (1, -4)) → sqr_{12}, a_{12}, b_{12}, c_{12}, d_{12}
  13. Polygon((2, -5), (3, -5), (3, -4), (2, -4)) → sqr_{13}, a_{13}, b_{13}, c_{13}, d_{13}
  14. Polygon((5, -2), (6, -2), (6, -1), (5, -1)) → sqr_{14}, a_{14}, b_{14}, c_{14}, d_{14}
  15. Polygon((6, -2), (7, -2), (7, -1), (6, -1)) → sqr_{15}, a_{15}, b_{15}, c_{15}, d_{15}
  16. Polygon((7, -2), (8, -2), (8, -1), (7, -1)) → sqr_{16}, a_{16}, b_{16}, c_{16}, d_{16}
  17. Polygon((5, -3), (6, -3), (6, -2), (5, -2)) → sqr_{17}, a_{17}, b_{17}, c_{17}, d_{17}
  18. Polygon((6, -3), (7, -3), (7, -2), (6, -2)) → sqr_{18}, a_{18}, b_{18}, c_{18}, d_{18}
  19. Polygon((7, -3), (8, -3), (8, -2), (7, -2)) → sqr_{19}, a_{19}, b_{19}, c_{19}, d_{19}
  20. Polygon((5, -4), (6, -4), (6, -3), (5, -3)) → sqr_{20}, a_{20}, b_{20}, c_{20}, d_{20}
  21. Polygon((6, -4), (7, -4), (7, -3), (6, -3)) → sqr_{21}, a_{21}, b_{21}, c_{21}, d_{21}
  22. Polygon((7, -4), (8, -4), (8, -3), (7, -3)) → sqr_{22}, a_{22}, b_{22}, c_{22}, d_{22}
  23. Polygon((0, -7), (1, -7), (1, -6), (0, -6)) → sqr_{23}, a_{23}, b_{23}, c_{23}, d_{23}
  24. Polygon((1, -7), (2, -7), (2, -6), (1, -6)) → sqr_{24}, a_{24}, b_{24}, c_{24}, d_{24}
  25. Polygon((2, -7), (3, -7), (3, -6), (2, -6)) → sqr_{25}, a_{25}, b_{25}, c_{25}, d_{25}
  26. Polygon((3, -7), (4, -7), (4, -6), (3, -6)) → sqr_{26}, a_{26}, b_{26}, c_{26}, d_{26}
  27. Polygon((4, -7), (5, -7), (5, -6), (4, -6)) → sqr_{27}, a_{27}, b_{27}, c_{27}, d_{27}
  28. Polygon((0, -8), (1, -8), (1, -7), (0, -7)) → sqr_{28}, a_{28}, b_{28}, c_{28}, d_{28}
  29. Polygon((1, -8), (2, -8), (2, -7), (1, -7)) → sqr_{29}, a_{29}, b_{29}, c_{29}, d_{29}
  30. Polygon((2, -8), (3, -8), (3, -7), (2, -7)) → sqr_{30}, a_{30}, b_{30}, c_{30}, d_{30}
  31. Polygon((3, -8), (4, -8), (4, -7), (3, -7)) → sqr_{31}, a_{31}, b_{31}, c_{31}, d_{31}
  32. Polygon((4, -8), (5, -8), (5, -7), (4, -7)) → sqr_{32}, a_{32}, b_{32}, c_{32}, d_{32}
  33. Polygon((0, -9), (1, -9), (1, -8), (0, -8)) → sqr_{33}, a_{33}, b_{33}, c_{33}, d_{33}
  34. Polygon((1, -9), (2, -9), (2, -8), (1, -8)) → sqr_{34}, a_{34}, b_{34}, c_{34}, d_{34}
  35. Polygon((2, -9), (3, -9), (3, -8), (2, -8)) → sqr_{35}, a_{35}, b_{35}, c_{35}, d_{35}
  36. Polygon((3, -9), (4, -9), (4, -8), (3, -8)) → sqr_{36}, a_{36}, b_{36}, c_{36}, d_{36}
  37. Polygon((4, -9), (5, -9), (5, -8), (4, -8)) → sqr_{37}, a_{37}, b_{37}, c_{37}, d_{37}
  38. Polygon((7, -6), (8, -6), (8, -5), (7, -5)) → sqr_{38}, a_{38}, b_{38}, c_{38}, d_{38}
  39. Polygon((8, -6), (9, -6), (9, -5), (8, -5)) → sqr_{39}, a_{39}, b_{39}, c_{39}, d_{39}
  40. Polygon((9, -6), (10, -6), (10, -5), (9, -5)) → sqr_{40}, a_{40}, b_{40}, c_{40}, d_{40}
  41. Polygon((10, -6), (11, -6), (11, -5), (10, -5)) → sqr_{41}, a_{41}, b_{41}, c_{41}, d_{41}
  42. Polygon((7, -7), (8, -7), (8, -6), (7, -6)) → sqr_{42}, a_{42}, b_{42}, c_{42}, d_{42}
  43. Polygon((8, -7), (9, -7), (9, -6), (8, -6)) → sqr_{43}, a_{43}, b_{43}, c_{43}, d_{43}
  44. Polygon((9, -7), (10, -7), (10, -6), (9, -6)) → sqr_{44}, a_{44}, b_{44}, c_{44}, d_{44}
  45. Polygon((10, -7), (11, -7), (11, -6), (10, -6)) → sqr_{45}, a_{45}, b_{45}, c_{45}, d_{45}
  46. Polygon((7, -8), (8, -8), (8, -7), (7, -7)) → sqr_{46}, a_{46}, b_{46}, c_{46}, d_{46}
  47. Polygon((8, -8), (9, -8), (9, -7), (8, -7)) → sqr_{47}, a_{47}, b_{47}, c_{47}, d_{47}
  48. Polygon((9, -8), (10, -8), (10, -7), (9, -7)) → sqr_{48}, a_{48}, b_{48}, c_{48}, d_{48}
  49. Polygon((10, -9), (11, -9), (11, -8), (10, -8)) → sqr_{49}, a_{49}, b_{49}, c_{49}, d_{49}
  50. Polygon((7, -9), (8, -9), (8, -8), (7, -8)) → sqr_{50}, a_{50}, b_{50}, c_{50}, d_{50}
  51. Polygon((8, -9), (9, -9), (9, -8), (8, -8)) → sqr_{51}, a_{51}, b_{51}, c_{51}, d_{51}
  52. Polygon((9, -9), (10, -9), (10, -8), (9, -8)) → sqr_{52}, a_{52}, b_{52}, c_{52}, d_{52}
  53. Polygon((10, -8), (11, -8), (11, -7), (10, -7)) → sqr_{53}, a_{53}, b_{53}, c_{53}, d_{53}
  54. Polygon((9.5, 0.5), (10.5, 0.5), (10.5, 1.5), (9.5, 1.5)) → poly6, f_1, g_1, h_1, i_1
  55. Segment((2, 0), (7, 0)) → a
  56. Segment((2, 0), (2, 1)) → b
  57. Segment((2, 1), (7, 1)) → c
  58. Segment((7, 0), (7, 1)) → d
  59. Segment((1, -1), (3, -1)) → e
  60. Segment((1, -1), (1, -5)) → f
  61. Segment((3, -5), (3, -1)) → g
  62. Segment((3, -5), (1, -5)) → h
  63. Segment((5, -4), (5, -1)) → i
  64. Segment((0, -6), (0, -9)) → m
  65. Segment((5, -9), (0, -9)) → n
  66. Segment((5, -9), (5, -6)) → p
  67. Segment((0, -6), (5, -6)) → q
  68. Segment((7, -5), (11, -5)) → r
  69. Segment((7, -5), (7, -9)) → s
  70. Segment((11, -9), (7, -9)) → t
  71. Segment((11, -9), (11, -5)) → e_1
  72. Segment((5, -1), (8, -1)) → k
  73. Segment((8, -4), (8, -1)) → l
  74. Segment((5, -4), (8, -4)) → j