等腰三角形演示
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①本范例演示等腰三角形的性质与构造;②涉及核心概念包括等腰三角形的定义、底角相等、顶角平分线垂直底边;③作图要点:使用Polygon、Point、Segment、Line、Angle、Midpoint、Ray、OrthogonalLine、Mirror、Circle等GeoGebra命令和对象进行绘制与变换;④适合初中及以上学生学习几何作图与性质探究。
GeoGebra 命令及参数
Polygon(C, A, B) → poly1, b, c, a_1Point(Circle[D, 8]) → ESegment(D, E) → fPoint(Circle[D, 8]) → FSegment(D, F) → gPoint(Circle[F, 8]) → GSegment(F, G) → hLine(D, E) → iPolygon(D, F, G) → poly2, g_1, d, f_1Polygon(D, F, E) → poly3, e, d_1, f_2Segment(D, E) → jAngle(D, E, F) → αAngle(E, F, D) → βAngle(E, G, F) → γAngle(F, D, E) → δMidpoint(H, I) → JRay(H, J) → kOrthogonalLine(J, k) → lPoint(l) → KSegment(K, H) → mSegment(K, I) → nPoint(k) → LAngle(L, I, K) → εMirror(M, N) → M'Segment(M, M') → pOrthogonalLine(N, p) → qPoint(q) → OSegment(M, O) → rSegment(M', O) → sSegment(M', M) → tRay(M, O) → h_1Point(h_1) → PAngle(P, O, M') → ζCircle(Q, R) → c_1Point(c_1) → SPoint(c_1) → TSegment(S, Q) → i_1Segment(T, Q) → k_1Segment(T, S) → j_1Angle(T, Q, S) → ηAngle(S, T, Q) → θAngle(Q, S, T) → ιPoint(c) → USegment(U, C) → l_1Polygon(V, W, Z) → t1, z_1, v, wAngle(V, W, Z) → κAngle(Z, V, W) → λAngle(W, Z, V) → μAngle(D, F, E) → νAngle(E, D, F) → ξAngle(F, E, D) → οAngle(E, F, G) → ρAngle(G, E, F) → σAngle(F, G, E) → τ