用GeoGebra绘制大犬座几何图案

用GeoGebra绘制大犬座几何图案
几何画板及绘图内容加载中,请稍等……
2018-10-05 11:18
本范例演示如何使用GeoGebra的Segment(线段)和PolyLine(多段线)命令绘制大犬座(Canis Major)星座的几何图案。核心数学概念包括线段作图、点的坐标确定以及多段线连接技巧。构造要点:①通过指定端点A、B等点创建线段;②使用PolyLine命令将多个点连接成连续路径;③可调整点的位置来改变星座形状。适合初中及以上学段学生学习几何作图方法,也可用于数学与天文学跨学科教学的素材,帮助学生理解用数学语言描述自然图形的方法。

GeoGebra 命令及参数

  1. Segment(O, P) → f
  2. Segment(Q, R) → g
  3. Segment(S, T) → h
  4. Segment(U, V) → i
  5. Segment(W, Z) → j
  6. Segment(A_1, B_1) → k
  7. Segment(C_1, D_1) → l
  8. Segment(E_1, F_1) → m
  9. Segment(G_1, H_1) → n
  10. Segment(I_1, J_1) → p
  11. Segment(K_1, L_1) → q
  12. PolyLine((3.353855039067555, 6.790137006497326), (NaN, NaN), (3.1740287771777256, 7.149789530276986), (3.368840560891708, 7.764195925067238), (3.4437681700124703, 7.764195925067238), (3.488724735484928, 7.77918144689139), (3.5336813009573853, 7.794166968715543), (3.593623388253995, 7.794166968715543), (3.6385799537264525, 7.809152490539695), (3.6835365191989102, 7.824138012363848), (3.7284930846713675, 7.839123534188), (3.7734496501438253, 7.8541090560121525), (3.8184062156162826, 7.8690945778363055), (3.1290722117052683, 7.164775052101138), (3.86336278108874, 7.899065621484611), (3.9083193465611976, 7.914051143308763), (3.953275912033655, 7.944022186957068), (3.998232477506112, 7.973993230605373), (4.04318904297857, 8.003964274253677), (4.088145608451027, 8.033935317901982), (4.133102173923485, 8.063906361550288), (4.178058739395942, 8.093877405198592), (4.2230153048684, 8.138833970671051), (4.267971870340857, 8.153819492495202), (3.0841156462328105, 7.179760573925291), (4.312928435813315, 8.183790536143508), (4.357885001285772, 8.213761579791813), (4.402841566758229, 8.243732623440117), (4.447798132230687, 8.288689188912574), (4.492754697703145, 8.333645754385033), (4.537711263175602, 8.363616798033338), (4.567682306823907, 8.408573363505795), (4.6126388722963645, 8.423558885329948), (4.657595437768822, 8.468515450802405), (4.702552003241279, 8.483500972626558), (3.0391590807603532, 7.194746095749443), (4.762494090537889, 8.483500972626558), (4.822436177834499, 8.483500972626558), (4.882378265131109, 8.483500972626558), (4.9273348306035665, 8.513472016274862), (4.972291396076024, 8.543443059923167), (5.017247961548482, 8.55842858174732), (5.062204527020939, 8.573414103571473), (5.107161092493397, 8.588399625395624), (5.152117657965854, 8.61837066904393), (5.197074223438311, 8.633356190868083), (2.9792169934637434, 7.194746095749443), (5.2420307889107685, 8.663327234516387), (5.286987354383227, 8.67831275634054), (5.346929441679836, 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