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风筝图形绘制

风筝图形绘制
几何画板及绘图内容加载中，请稍等……
2015-04-22 00:03
圆多边形几何作图
①本范例演示如何通过 GeoGebra 绘制风筝图形及其相关属性；②涉及的核心数学概念包括多边形、圆、线段、交点等；③作图要点——使用 Line, Circle, Center, Intersect, Segment, Point, AttachCopyToView 等命令和对象构建图形；④适合高中数学学生学习和理解多边形构造及解析几何方法。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Circle(A, 5) → c
  3. Circle(B, 5) → d
  4. Center(c) → C
  5. Center(c) → D
  6. Intersect(c, d, 1) → E
  7. Intersect(c, d, 2) → F
  8. Intersect(d, a) → G, H
  9. Intersect(c, a) → I, J
  10. Line(E, F) → b
  11. Segment(G, F) → e
  12. Segment(J, F) → f
  13. Intersect(c, b, 1) → K
  14. Intersect(c, b, 1) → L
  15. Intersect(c, b, 1) → M
  16. Point(b) → N
  17. Segment(N, G) → g
  18. Segment(N, J) → h
  19. AttachCopyToView(PolyLine[(0.45022943339358695, -2.828807142669296), (0.3124982770926455, -2.7894553837261697), (0.2337947592063932, -2.828807142669296), (0.17476712079170398, -2.8681589016124214), (0.07638772343388864, -2.9271865400271104), (0.017360085019199428, -2.9665382989702365), (-0.04166755339548978, -3.025565937384925), (-0.12037107128174206, -3.084593575799614), (-0.17939870969643126, -3.12394533474274), (-0.23842634811112048, -3.1436212142143027), (-0.31712986599737275, -3.1829729731574288), (-0.37615750441206197, -3.242000611572118), (-0.45486102229831427, -3.3207041294583695), (-0.5335645401845666, -3.3797317678730585), (-0.5532404196561296, -3.438759406287747), (-0.5925921785992557, -3.517462924173999), (-0.6122680580708189, -3.576490562588688), (-0.6122680580708189, -3.65519408047494), (-0.5335645401845666, -3.7732493573043175), (-0.4942127812414404, -3.832276995719006), (-0.47453690176987734, -3.9109805136052582), (-0.45486102229831427, -3.970008152019947), (-0.4155092633551881, -4.029035790434636), (-0.39583338388362505, -4.127415187792451), (-0.3564816249404989, -4.206118705678702), (-0.31712986599737275, -4.284822223564954), (-0.2777781070542466, -4.383201620922769), (-0.23842634811112048, -4.4815810182805835), (-0.17939870969643126, -4.560284536166836), (-0.14004695075330514, -4.65866393352465), (-0.100695191810179, -4.737367451410902), (-0.06134343286705285, -4.816070969297154), (-0.021991673923926713, -4.914450366654969), (-0.0023157944523636417, -5.032505643484346), (0.017360085019199428, -5.130885040842162), (0.0370359644907625, -5.248940317671539), (0.07638772343388864, -5.366995594500917), (0.13541536184857786, -5.485050871330294), (0.17476712079170398, -5.6031061481596725), (0.19444300026326705, -5.72116142498905), (0.21411887973483013, -5.839216701818428), (0.2534706386779563, -5.9769478581193685), (0.27314651814951935, -6.075327255477183), (0.2928223976210824, -6.193382532306561), (0.3124982770926455, -6.331113688607502), (0.33217415656420857, -6.449168965436879), (0.33217415656420857, -6.547548362794695), (0.35185003603577164, -6.626251880680946), (0.3715259155073347, -6.468844844908443), (0.3912017949788978, -6.3901413270221905), (0.4305535539220239, -6.291761929664376), (0.45022943339358695, -6.213058411778124), (0.4895811923367131, -6.154030773363435), (0.5092570718082762, -6.075327255477183), (0.5289329512798393, -6.0162996170624945), (0.5486088307514023, -5.937596099176242), (0.5879605896945285, -5.839216701818428), (0.6273123486376546, -5.740837304460613), (0.6666641075807808, -5.622782027631235), (0.7256917459954699, -5.504726750801858), (0.7847193844101592, -5.366995594500917), (0.8634229022964115, -5.209588558728413), (0.9618022996542268, -5.032505643484346), (1.040505817540479, -4.816070969297154), (1.0798575764836051, -4.65866393352465), (1.1388852148982944, -4.501256897752147), (1.1782369738414207, -4.343849861979643), (1.2175887327845467, -4.18644282620714), (1.2569404917276727, -4.029035790434636), (1.296292250670799, -3.871628754662132), (1.335644009613925, -3.7338975983611915), (1.335644009613925, -3.615842321531814), (1.3553198890854883, -3.537138803645562), (1.3749957685570513, -3.478111165230873), (1.276616371199236, -3.478111165230873), (1.1388852148982944, -3.438759406287747), (1.0798575764836051, -3.3994076473446215), (0.9618022996542268, -3.3010282499868064), (0.8043952638817222, -3.1632970936858658), (0.6666641075807808, -3.064917696328051), (0.5682847102229653, -2.986214178441799), (0.46990531286515, -2.9075106605555474), (0.3912017949788978, -2.8681589016124214), (0.3124982770926455, -2.7894553837261697), true], 1, (-6.869197730027875, -12.31258104796264), (8.241877704132563, 6.39918032949373), (0, 951), (768, 0)) → stroke1