三角形与周长
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①本范例演示了如何通过 GeoGebra 构造三角形并计算其周长;②涉及的核心数学概念包括三角形的基本性质、周长的计算方法以及点、线段、多边形的几何作图;③作图要点:使用了 If 条件语句、点(Point)、多边形(Polygon)和线段(Segment)等 GeoGebra 命令/对象来创建和操作几何元素;④适合初中及以上学生学习几何作图和周长计算,也可用于数学教学演示。
GeoGebra 命令及参数
If(A2 > 0, (A2, B2), 0) → C2If(A3 > 0, (A3, B3), 0) → C3If(A4 > 0, (A4, B4), " ") → C4If(A5 > 0, (A5, B5), " ") → C5If(A6 > 0, (A6, B6), " ") → C6If(A7 > 0, (A7, B7), " ") → C7If(A8 > 0, (A8, B8), " ") → C8If(A9 > 0, (A9, B9), " ") → C9If(A10 > 0, (A10, B10), " ") → C10If(A11 > 0, (A11, B11), " ") → C11If(A12 > 0, (A12, B12), " ") → C12If(A13 > 0, (A13, B13), " ") → C13If(A14 > 0, (A14, B14), " ") → C14If(A15 > 0, (A15, B15), " ") → C15If(A16 > 0, (A16, B16), " ") → C16If(A17 > 0, (A17, B17), " ") → C17If(A18 > 0, (A18, B18), " ") → C18If(A19 > 0, (A19, B19), " ") → C19If(A20 > 0, (A20, B20), " ") → C20If(A21 > 0, (A21, B21), " ") → C21If(A22 > 0, (A22, B22), " ") → C22If(A23 > 0, (A23, B23), " ") → C23If(A24 > 0, (A24, B24), " ") → C24If(A25 > 0, (A25, B25), " ") → C25If(A26 > 0, (A26, B26), " ") → C26If(A27 > 0, (A27, B27), " ") → C27If(A28 > 0, (A28, B28), " ") → C28If(A29 > 0, (A29, B29), " ") → C29If(A30 > 0, (A30, B30), " ") → C30If(A31 > 0, (A31, B31), " ") → C31If(A32 > 0, (A32, B32), " ") → C32If(A33 > 0, (A33, B33), " ") → C33If(A34 > 0, (A34, B34), " ") → C34If(A35 > 0, (A35, B35), " ") → C35Point(Circle[A, 1]) → BPolygon(A, B, 3) → poly1, g, h, i, CPoint(Circle[D, 1]) → ESegment(D, E) → jPolygon(D, E, 3) → poly2, k, l, m, FPolygon((10.21504332640283, 18.917225779374085), (10.725582080558267, 18.05737103553335), 3) → poly5Polygon((7.363275011410328, 18.045590863047085), (8.363275011410328, 18.045590863047085), 3) → poly3Polygon((9.710638707472205, 18.03742981657482), (10.710638707472203, 18.03742981657482), 3) → poly4Polygon((12.681476461733965, 18.00499390541103), (13.681476461733965, 18.00499390541103), 3) → poly6Polygon((13.205685872259123, 18.86309650252601), (13.71622462641456, 18.003241758685274), 3) → poly7Polygon((13.724171026684221, 18.037429816574825), (14.724171026684221, 18.037429816574825), 3) → poly8Polygon((2.3257012257954934, 16.48140832121058), (2.8362399799509292, 15.621553577369845), 3) → poly9Polygon((2.342784583751115, 18.70867450443604), (3.342784583751115, 18.70867450443604), 3) → poly10Polygon((2.3257012257954934, 16.48140832121058), (2.8362399799509292, 15.621553577369845), 3) → poly11