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筝形的性质 by Harshitaa Arunkumar

筝形的性质 by Harshitaa Arunkumar
几何画板及绘图内容加载中，请稍等……
2017-12-06 23:04
多边形角几何作图
这个范例演示了筝形的性质。涉及的核心数学概念包括筝形的对角线性质、角度关系等。通过使用GeoGebra命令如Segment, Point, OrthogonalLine等，可以构造筝形并观察其性质。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. Point(f) → C
  3. OrthogonalLine(C, f) → g
  4. Circle(C, D) → c
  5. Intersect(c, g, 1) → E
  6. Intersect(c, g, 2) → F
  7. Segment(A, F) → h
  8. Segment(F, B) → i
  9. Segment(B, E) → j
  10. Segment(E, A) → k
  11. Segment(F, E) → l
  12. Angle(B, C, F) → α
  13. Angle(F, C, A) → β
  14. Angle(E, C, B) → γ
  15. Angle(A, C, E) → δ
  16. PolyLine((9.25098912766764, 12.933848346176033), (NaN, NaN), (9.536612936274851, 12.486784993573442), (9.561449789197217, 12.449529714189893), (9.598705068580767, 12.43711128772871), (9.61112349504195, 12.39985600834516), true, (9.25098912766764, 12.933848346176033), (9.263407554128824, 12.846919360947751), (9.300662833512373, 12.809664081564202), (9.337918112895922, 12.75999037571947), (9.387591818740654, 12.710316669874738), (9.44968395104657, 12.63580611110764), (9.486939230430119, 12.56129555234054), (9.511776083352485, 12.524040272956992)) → stroke1
  17. PolyLine((9.313081259973556, 8.972370305058634), (NaN, NaN), (9.747726186114964, 9.419433657661223), (9.784981465498515, 9.44427051058359), (9.822236744882064, 9.481525789967138), (9.859492024265613, 9.518781069350688), (NaN, NaN), (13.013772345406121, 12.573713978801724), (NaN, NaN), (13.013772345406121, 12.573713978801724), (13.05102762478967, 12.673061390491188), (13.125538183556769, 12.79724565510302), (9.313081259973556, 8.972370305058634), (13.21246716878505, 12.933848346176033), (13.324233006935698, 13.095287890171413), (13.411161992163981, 13.20705372832206), (13.498090977392263, 13.318819566472708), (13.560183109698178, 13.418166978162173), (13.597438389081727, 13.455422257545722), true, (9.350336539357105, 9.03446243736455), (9.41242867166302, 9.096554569670465), (9.474520803968936, 9.146228275515197), (9.549031362736034, 9.233157260743479), (9.61112349504195, 9.282830966588211), (9.673215627347865, 9.332504672432943), (9.710470906731414, 9.369759951816492)) → stroke2
  18. PolyLine((13.162793462940318, 12.524040272956992), (NaN, NaN), (13.473254124469896, 12.871756213870118), (13.510509403853446, 12.909011493253667), (13.535346256775812, 12.946266772637216), (13.572601536159361, 12.995940478481948), (13.60985681554291, 13.033195757865498), (13.634693668465276, 13.070451037249047), (13.659530521387643, 13.107706316632596), (13.684367374310009, 13.144961596016145), (13.696785800771192, 13.182216875399694), (13.721622653693558, 13.219472154783244), (13.162793462940318, 12.524040272956992), (13.746459506615924, 13.256727434166793), (13.77129635953829, 13.293982713550342), (13.796133212460656, 13.331237992933891), true, (13.187630315862684, 12.56129555234054), (13.224885595246233, 12.59855083172409), (13.274559301090965, 12.660642964030005), (13.324233006935698, 12.697898243413555), (13.361488286319249, 12.735153522797104), (13.398743565702798, 12.784827228641836), (13.435998845086347, 12.822082508025385)) → stroke3
  19. PolyLine((12.839914374949558, 9.469107363505955), (NaN, NaN), (13.162793462940318, 8.848186040446803), (13.187630315862684, 8.786093908140888), (13.224885595246233, 8.724001775834973), (13.2497224481686, 8.686746496451423), (13.262140874629782, 8.649491217067874), (13.286977727552149, 8.612235937684325), (NaN, NaN), (13.013772345406121, 9.518781069350688), (NaN, NaN), (13.013772345406121, 9.518781069350688), (12.839914374949558, 9.469107363505955), (13.026190771867304, 9.44427051058359), (13.063446051250853, 9.369759951816492), (13.113119757095586, 9.257994113665845), (13.175211889401501, 9.171065128437563), (13.224885595246233, 9.084136143209282), (13.262140874629782, 9.009625584442183), (13.299396154013332, 8.935115025675085), (13.324233006935698, 8.897859746291536), (13.361488286319249, 8.83576761398562), (13.386325139241615, 8.773675481679705), (12.852332801410741, 9.431852084122406), (13.423580418625164, 8.724001775834973), (13.44841727154753, 8.686746496451423), (13.473254124469896, 8.649491217067874), (13.498090977392263, 8.612235937684325), (13.510509403853446, 8.574980658300776), true, (12.877169654333107, 9.382178378277676), (12.92684336017784, 9.307667819510577), (12.976517066022572, 9.220738834282296), (13.013772345406121, 9.15864670197638), (13.05102762478967, 9.059299290286916), (13.113119757095586, 8.935115025675085)) → stroke4