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椭圆中的等面积

椭圆中的等面积
几何画板及绘图内容加载中，请稍等……
2019-03-19 05:24
解析几何几何作图
这个范例展示了椭圆中等面积的性质。核心数学概念包括椭圆的几何性质和面积计算。通过使用GeoGebra命令如Intersect、Point、Circle等，可以动态地探索椭圆中等面积的条件。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Intersect(c, xAxis, 2) → C
  5. Segment(A, B) → f
  6. Point(f) → E
  7. Vector(A, E) → u
  8. Intersect(g, B1, (0, 0)) → C1
  9. Intersect(g, B10, (3.96181202750777, 2.1749487602193547)) → C10
  10. Intersect(g, B16, (7.7790211293602045, 3.6249146002958437)) → C16
  11. Intersect(g, B19, (8.944829003874156, 4.34989752034603)) → C19
  12. Intersect(g, B22, (9.904726917671706, 5.074880440428573)) → C22
  13. Intersect(g, B28, (13.464906929429503, 6.524846280532647)) → C28
  14. Intersect(g, B2, (0.8985363150627201, 0.2416609733505129)) → C2
  15. Intersect(g, B3, (1.4958358221658141, 0.48332194669894263)) → C3
  16. Intersect(g, B4, (1.9440988994429007, 0.7249829200567139)) → C4
  17. Intersect(g, B5, (2.321373279732653, 0.9666438934118669)) → C5
  18. Intersect(g, B6, (2.6616436981467055, 1.2083048678240824)) → C6
  19. Intersect(g, B7, (2.983486612768315, 1.4499658398307793)) → C7
  20. Intersect(g, B8, (3.299698691841183, 1.691626811800525)) → C8
  21. Intersect(g, B9, (3.6215416104738285, 1.9332877868253295)) → C9
  22. Intersect(g, B11, (4.339086409433638, 2.4166097345457658)) → C11
  23. Intersect(g, B12, (4.787349484998994, 2.658270706883755)) → C12
  24. Intersect(g, B13, (5.384648992109253, 2.899931680236732)) → C13
  25. Intersect(g, B14, (6.283185307198224, 3.1415926535941665)) → C14
  26. Intersect(g, B15, (7.181721622194075, 3.3832536269241604)) → C15
  27. Intersect(g, B17, (8.22728420171931, 3.8665755707204488)) → C17
  28. Intersect(g, B18, (8.604558586558609, 4.108236546760845)) → C18
  29. Intersect(g, B20, (9.266671920325276, 4.591558493708144)) → C20
  30. Intersect(g, B21, (9.58288399987242, 4.833219466039303)) → C21
  31. Intersect(g, B23, (10.24499733499598, 5.316541414019315)) → C23
  32. Intersect(g, B24, (10.622271717693026, 5.55820238877995)) → C24
  33. Intersect(g, B25, (11.07053478797479, 5.799863358455188)) → C25
  34. Intersect(g, B26, (11.667834299291737, 6.041524333827495)) → C26
  35. Intersect(g, B27, (12.56637, 6.283185163014739)) → C27
  36. Intersect(g, B29, (14.062206436539968, 6.766507253885722)) → C29
  37. Intersect(g, B30, (14.510469513806209, 7.008168227238768)) → C30
  38. Arc(c, (1; x(C1)), (1; x(C2))) → D2
  39. Arc(c, (1; x(C2)), (1; x(C3))) → D3
  40. Arc(c, (1; x(C3)), (1; x(C4))) → D4
  41. Arc(c, (1; x(C4)), (1; x(C5))) → D5
  42. Arc(c, (1; x(C5)), (1; x(C6))) → D6
  43. Arc(c, (1; x(C6)), (1; x(C7))) → D7
  44. Arc(c, (1; x(C7)), (1; x(C8))) → D8
  45. Arc(c, (1; x(C8)), (1; x(C9))) → D9
  46. Arc(c, (1; x(C9)), (1; x(C10))) → D10
  47. Arc(c, (1; x(C10)), (1; x(C11))) → D11
  48. Arc(c, (1; x(C11)), (1; x(C12))) → D12
  49. Arc(c, (1; x(C12)), (1; x(C13))) → D13
  50. Arc(c, (1; x(C13)), (1; x(C14))) → D14
  51. Arc(c, (1; x(C14)), (1; x(C15))) → D15
  52. Arc(c, (1; x(C15)), (1; x(C16))) → D16
  53. Arc(c, (1; x(C16)), (1; x(C17))) → D17
  54. Arc(c, (1; x(C17)), (1; x(C18))) → D18
  55. Arc(c, (1; x(C18)), (1; x(C19))) → D19
  56. Arc(c, (1; x(C19)), (1; x(C20))) → D20
  57. Arc(c, (1; x(C20)), (1; x(C21))) → D21
  58. Arc(c, (1; x(C21)), (1; x(C22))) → D22
  59. Arc(c, (1; x(C22)), (1; x(C23))) → D23
  60. Arc(c, (1; x(C23)), (1; x(C24))) → D24
  61. Arc(c, (1; x(C24)), (1; x(C25))) → D25
  62. Arc(c, (1; x(C25)), (1; x(C26))) → D26
  63. Arc(c, (1; x(C26)), (1; x(C27))) → D27
  64. Arc(c, (1; x(C27)), (1; x(C28))) → D28
  65. Arc(c, (1; x(C28)), (1; x(C29))) → D29
  66. Arc(c, (1; x(C29)), (1; x(C30))) → D30
  67. Segment((1; x(C1)), (1; x(C2))) → F2
  68. Segment((1; x(C2)), (1; x(C3))) → F3
  69. Segment((1; x(C3)), (1; x(C4))) → F4
  70. Segment((1; x(C4)), (1; x(C5))) → F5
  71. Segment((1; x(C5)), (1; x(C6))) → F6
  72. Segment((1; x(C6)), (1; x(C7))) → F7
  73. Segment((1; x(C7)), (1; x(C8))) → F8
  74. Segment((1; x(C8)), (1; x(C9))) → F9
  75. Segment((1; x(C9)), (1; x(C10))) → F10
  76. Segment((1; x(C10)), (1; x(C11))) → F11
  77. Segment((1; x(C11)), (1; x(C12))) → F12
  78. Segment((1; x(C12)), (1; x(C13))) → F13
  79. Segment((1; x(C13)), (1; x(C14))) → F14
  80. Segment((1; x(C14)), (1; x(C15))) → F15
  81. Segment((1; x(C15)), (1; x(C16))) → F16
  82. Segment((1; x(C16)), (1; x(C17))) → F17
  83. Segment((1; x(C17)), (1; x(C18))) → F18
  84. Segment((1; x(C18)), (1; x(C19))) → F19
  85. Segment((1; x(C19)), (1; x(C20))) → F20
  86. Segment((1; x(C20)), (1; x(C21))) → F21
  87. Segment((1; x(C21)), (1; x(C22))) → F22
  88. Segment((1; x(C22)), (1; x(C23))) → F23
  89. Segment((1; x(C23)), (1; x(C24))) → F24
  90. Segment((1; x(C24)), (1; x(C25))) → F25
  91. Segment((1; x(C25)), (1; x(C26))) → F26
  92. Segment((1; x(C26)), (1; x(C27))) → F27
  93. Segment((1; x(C27)), (1; x(C28))) → F28
  94. Segment((1; x(C28)), (1; x(C29))) → F29
  95. Segment((1; x(C29)), (1; x(C30))) → F30
  96. Vector(D, F) → v
  97. Invert(m) → mm
  98. ApplyMatrix(mm, D2) → J2
  99. ApplyMatrix(mm, D3) → J3
  100. ApplyMatrix(mm, D4) → J4
  101. ApplyMatrix(mm, D5) → J5
  102. ApplyMatrix(mm, D6) → J6
  103. ApplyMatrix(mm, D7) → J7
  104. ApplyMatrix(mm, D8) → J8
  105. ApplyMatrix(mm, D9) → J9
  106. ApplyMatrix(mm, D10) → J10
  107. ApplyMatrix(mm, D11) → J11
  108. ApplyMatrix(mm, D12) → J12
  109. ApplyMatrix(mm, D13) → J13
  110. ApplyMatrix(mm, D14) → J14
  111. ApplyMatrix(mm, D15) → J15
  112. ApplyMatrix(mm, D16) → J16
  113. ApplyMatrix(mm, D17) → J17
  114. ApplyMatrix(mm, D18) → J18
  115. ApplyMatrix(mm, D19) → J19
  116. ApplyMatrix(mm, D20) → J20
  117. ApplyMatrix(mm, D21) → J21
  118. ApplyMatrix(mm, D22) → J22
  119. ApplyMatrix(mm, D23) → J23
  120. ApplyMatrix(mm, D24) → J24
  121. ApplyMatrix(mm, D25) → J25
  122. ApplyMatrix(mm, D26) → J26
  123. ApplyMatrix(mm, D27) → J27
  124. ApplyMatrix(mm, D28) → J28
  125. ApplyMatrix(mm, D29) → J29
  126. ApplyMatrix(mm, D30) → J30
  127. ApplyMatrix(mm, E2) → K2
  128. ApplyMatrix(mm, F2) → L2
  129. ApplyMatrix(mm, E3) → K3
  130. ApplyMatrix(mm, F3) → L3
  131. ApplyMatrix(mm, E4) → K4
  132. ApplyMatrix(mm, F4) → L4
  133. ApplyMatrix(mm, E5) → K5
  134. ApplyMatrix(mm, F5) → L5
  135. ApplyMatrix(mm, E6) → K6
  136. ApplyMatrix(mm, F6) → L6
  137. ApplyMatrix(mm, E7) → K7
  138. ApplyMatrix(mm, F7) → L7
  139. ApplyMatrix(mm, E8) → K8
  140. ApplyMatrix(mm, F8) → L8
  141. ApplyMatrix(mm, E9) → K9
  142. ApplyMatrix(mm, F9) → L9
  143. ApplyMatrix(mm, E10) → K10
  144. ApplyMatrix(mm, F10) → L10
  145. ApplyMatrix(mm, E11) → K11
  146. ApplyMatrix(mm, F11) → L11
  147. ApplyMatrix(mm, E12) → K12
  148. ApplyMatrix(mm, F12) → L12
  149. ApplyMatrix(mm, E13) → K13
  150. ApplyMatrix(mm, F13) → L13
  151. ApplyMatrix(mm, E14) → K14
  152. ApplyMatrix(mm, F14) → L14
  153. ApplyMatrix(mm, E15) → K15
  154. ApplyMatrix(mm, F15) → L15
  155. ApplyMatrix(mm, E16) → K16
  156. ApplyMatrix(mm, F16) → L16
  157. ApplyMatrix(mm, E17) → K17
  158. ApplyMatrix(mm, F17) → L17
  159. ApplyMatrix(mm, E18) → K18
  160. ApplyMatrix(mm, F18) → L18
  161. ApplyMatrix(mm, E19) → K19
  162. ApplyMatrix(mm, F19) → L19
  163. ApplyMatrix(mm, E20) → K20
  164. ApplyMatrix(mm, F20) → L20
  165. ApplyMatrix(mm, E21) → K21
  166. ApplyMatrix(mm, F21) → L21
  167. ApplyMatrix(mm, E22) → K22
  168. ApplyMatrix(mm, F22) → L22
  169. ApplyMatrix(mm, E23) → K23
  170. ApplyMatrix(mm, F23) → L23
  171. ApplyMatrix(mm, E24) → K24
  172. ApplyMatrix(mm, F24) → L24
  173. ApplyMatrix(mm, E25) → K25
  174. ApplyMatrix(mm, F25) → L25
  175. ApplyMatrix(mm, E26) → K26
  176. ApplyMatrix(mm, F26) → L26
  177. ApplyMatrix(mm, E27) → K27
  178. ApplyMatrix(mm, F27) → L27
  179. ApplyMatrix(mm, E28) → K28
  180. ApplyMatrix(mm, F28) → L28
  181. ApplyMatrix(mm, E29) → K29
  182. ApplyMatrix(mm, F29) → L29
  183. ApplyMatrix(mm, E30) → K30
  184. ApplyMatrix(mm, F30) → L30

AI 绘图提示语参考

绘制一个椭圆，并在椭圆上选取多个点，通过这些点构造多个圆弧，展示椭圆内等面积的性质。首先在坐标轴上选取两个点，以这两个点为直径构造一个圆，然后在圆上选取多个点，通过这些点构造多个圆弧。
以上提示语为根据原始绘图命令整理而来，仅供参考。