等腰三角形演示 by Kaylee Robinson
几何画板及绘图内容加载中,请稍等……
①本范例演示等腰三角形的性质与构造;②涉及核心数学概念包括三角形分类、角度关系、距离测量、解析几何;③构造要点:使用点、线段、距离、角度、多边形等 GeoGebra 命令创建等腰三角形并标注相关距离与角度;④适合高中数学教学,用于理解等腰三角形的对称性与几何作图。
GeoGebra 命令及参数
Point(Circle[A, 7]) → BSegment(A, B) → fPoint(Circle[A, 7]) → CSegment(A, C) → gSegment(C, B) → hDistance(C, A) → distanceCADistance(B, A) → distanceBADistance(B, C) → distanceBCAngle(C, A, B) → αAngle(B, C, A) → βAngle(A, B, C) → γPolyLine((-1.9831638252350765, -0.8084080931404014), (NaN, NaN), (NaN, NaN), (-2.0461823535483874, -1.1550099988636109), (NaN, NaN), (-2.0461823535483874, -1.1550099988636109), (-2.0934462497833706, -1.2022738950985938), (-2.1407101460183533, -1.2337831592552493), (-2.1879740422533365, -1.2652924234119047), (-2.2352379384883196, -1.2810470554902325), (-2.282501834723303, -1.2968016875685602), (-2.329765730958286, -1.249537791333577), (-1.9831638252350765, -0.8084080931404014), (-2.3455203630366137, -1.2022738950985938), (-2.3455203630366137, -1.1392553667852832), (-2.3612749951149414, -1.0762368384719723), (-2.377029627193269, -1.0289729422369893), true, (-2.0304277214700597, -0.8241627252187291), (-2.077691617705043, -0.8714266214537122), (-2.1092008818616983, -0.9344451497670231), (-2.1407101460183533, -0.9817090460020061), (-2.1879740422533365, -1.0132183101586616), (-2.203728674331664, -1.0604822063936445), (-2.219483306409992, -1.1077461026286277)) → stroke1PolyLine((1.8767210339552116, -0.8399173572970569), (NaN, NaN), (2.1603044113651104, -1.2022738950985938), (2.1603044113651104, -1.2652924234119047), (NaN, NaN), (2.317850732148387, -1.2180285271769216), (NaN, NaN), (2.317850732148387, -1.2180285271769216), (2.30209610007006, -1.2652924234119047), (2.2705868359134045, -1.312556319646888), (2.2548322038350768, -1.3598202158818709), (2.2233229396784213, -1.407084112116854), (1.8767210339552116, -0.8399173572970569), (2.176059043443438, -1.4385933762735095), (2.128795147208455, -1.470102640430165), (2.0972858830517995, -1.4228387441951817), (2.065776618895144, -1.3755748479601986), (2.0342673547384886, -1.3283109517252156), (1.9870034585035057, -1.312556319646888), (1.9397395622685225, -1.2652924234119047), true, (1.9239849301901948, -0.8714266214537122), (1.9397395622685225, -0.9186905176886954), (2.002758090581833, -0.9659544139236784), (2.0342673547384886, -1.0132183101586616), (2.0500219868168164, -1.0604822063936445), (2.0972858830517995, -1.1077461026286277), (2.128795147208455, -1.1550099988636109)) → stroke2PolyLine((-0.10836260791407937, 2.7048748603266755), (NaN, NaN), (0.08069297702585311, 2.9569489735799186), (0.0491837128691977, 3.0042128698149018), (0.03342908079086999, 3.051476766049885), (-0.013834815444113129, 3.098740662284868), (-0.029589447522440835, 3.1460045585198513), (-0.07685334375742396, 3.161759190598179), (-0.09260797583575166, 3.2090230868331617), (-0.15562650414906248, 3.1775138226765067), (-0.1713811362273902, 3.1302499264415236), (-0.2028904003840456, 3.0829860302065404), (-0.10836260791407937, 2.7048748603266755), (-0.21864503246237332, 3.035722133971557), (-0.2501542966190287, 2.988458237736574), true, (-0.10836260791407937, 2.7678933886399864), (-0.10836260791407937, 2.8309119169532972), (-0.10836260791407937, 2.893930445266608), (-0.10836260791407937, 2.9569489735799186), (NaN, NaN), (0.08069297702585311, 2.9569489735799186), (NaN, NaN)) → stroke3PolyLine((-1.5420341270419007, 1.3027126053555103), (NaN, NaN), (-1.9201452969217656, 1.5862959827654088), true, (-1.5420341270419007, 1.3027126053555103), (-1.5892980232768839, 1.3342218695121657), (-1.6365619195118668, 1.3657311336688212), (-1.68382581574685, 1.412995029903804), (-1.7310897119818331, 1.4445042940604595), (-1.7783536082168163, 1.476013558217115), (-1.8256175044517993, 1.5232774544520982), (-1.8728814006867824, 1.5547867186087534)) → stroke4PolyLine((1.2937996470570865, 1.2554487091205273), (NaN, NaN), (1.7034200810936069, 1.4917681902954427), (1.7349293452502623, 1.539032086530426), (1.7821932414852455, 1.5547867186087534), (1.8294571377202284, 1.5705413506870811), true, (1.2937996470570865, 1.2554487091205273), (1.3568181753703974, 1.2554487091205273), (1.4040820716053803, 1.2869579732771825), (1.4513459678403635, 1.318467237433838), (1.4986098640753467, 1.3342218695121657), (1.5301191282320021, 1.3814857657471489), (1.593137656545313, 1.412995029903804), (1.640401552780296, 1.4602589261387873)) → stroke5