三角形全等判定交互式演示
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本范例通过 GeoGeba 交互演示三角形全等的四种判定方法:SSS(边-边-边)、SAS(边-角-边)、ASA(角-边-角)、AAS(角-角-边)。核心数学概念是三角形全等的条件与性质。构造要点:使用 Rotate(旋转)命令动态展示全等变换,利用 Angle(角度)和 Segment(线段)工具精确测量边角关系,通过 Circle(圆)和 Line(直线)工具绘制辅助线,借助 Point(点)和 Intersect(交点)确定关键位置,配合 Textfield(文本框)实时显示判定条件。适合初中几何教学,可用于全等三角形判定定理的直观演示与探究学习。
GeoGebra 命令及参数
Rotate(G, 30°, H) → G'Angle(G, H, G') → αSegment(G, H) → gSegment(G, G') → hSegment(G', H) → iAngle(G', G, H) → βAngle(H, G', G) → γCircle(J, 3) → kPoint(k) → KSegment(J, K) → jRotate(K, 75°, J) → K'Angle(K, J, K') → δRotate(J, (-(40°)), K) → J'Angle(J', K, J) → εLine(J, K') → lLine(J', K) → mIntersect(l, m) → LSegment(J, L) → nSegment(K, L) → pAngle(J, L, K) → ζCircle(M, 3) → qPoint(q) → NSegment(M, N) → rRotate(N, 45°, M) → N'Angle(N, M, N') → ηLine(M, N') → sPoint(s) → ORotate(M, 70°, O) → M'Angle(M, O, M') → θLine(O, M') → tLine(N, M) → f_1Intersect(t, f_1) → PSegment(M, N) → g_1Segment(O, M) → h_1Segment(O, N) → i_1Circle(Q, 4) → c_1Point(c_1) → RSegment(Q, R) → j_1Rotate(Q, (-(90°)), R) → Q'Angle(Q', R, Q) → ιCircle(R, 3) → d_1Line(R, Q') → k_1Intersect(d_1, k_1) → S, TSegment(T, Q) → l_1Segment(R, T) → m_1Angle(Q, T, R) → κAngle(R, Q, T) → λCircle(U, 3) → e_1Point(e_1) → VSegment(U, V) → n_1Rotate(U, (-(70°)), V) → U'Angle(U', V, U) → μLine(U', V) → q_1Circle(V, 4) → p_1Intersect(p_1, q_1) → W, ZSegment(U, W) → r_1Segment(V, W) → s_1Angle(V, U, W) → νAngle(U, W, V) → οLine(A_1, B_1) → t_1Rotate(B_1, 30°, A_1) → C_1Angle(B_1, A_1, C_1) → ξLine(A_1, C_1) → a_1Circle(A_1, 5) → c_2Intersect(c_2, a_1) → D_1, E_1Segment(A_1, E_1) → b_1Circle(E_1, 3) → d_2Point(d_2) → F_1Segment(E_1, F_1) → f_2Line(E_1, F_1) → g_2Circle(F_1, 0.03) → h_2Intersect(h_2, g_2) → G_1, H_1Segment(F_1, H_1) → i_2Intersect(t_1, i_2) → I_1Segment(A_1, I_1) → j_2Angle(A_1, E_1, F_1) → ρAngle(E_1, F_1, A_1) → σTextfield() → InputBox1Textfield() → InputBox2