Giugiuc 抛物线
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该范例演示了 Giugiuc 抛物线的几何构造。核心数学概念包括抛物线、外接圆、矩形、相关点、平行四边形和等边三角形。通过使用 GeoGebra 命令如 Line、Parabola、Point、Tangent、Intersect、Polygon、Circle、Center、Segment、Angle、Distance、OrthogonalLine,可以构造出复杂的几何图形。适合高中数学教学和研究。
GeoGebra 命令及参数
Line(A_4, B_4) → a_3Parabola(F, a_3) → c_3Point(c_3) → B_1Point(c_3) → A_1Point(c_3) → C_1Tangent(B_1, c_3) → b_3,Tangent(A_1, c_3) → d,Tangent(C_1, c_3) → e,Intersect(b_3, e) → AIntersect(d, e) → BIntersect(b_3, d) → CPolygon(C, A, B) → poligon1, i, g, hCircle(A, B_1, C_1) → fCircle(B, C_1, A_1) → kCenter(f) → A_2Center(k) → B_2Circle(C, A_1, B_1) → pCenter(p) → C_2Segment(C, B) → jPoint(b_3) → DSegment(A, D) → lPoint(e) → ESegment(A, E) → mPoint(k) → GSegment(B_2, G) → nPoint(p) → H_1Segment(C_2, H_1) → qPoint(f) → ISegment(A_2, I) → rPolygon(A_2, C_2, B_2) → poligon2, b_2, a_2, c_2Angle(A_2, B_2, C_2) → αDistance(A_2, C_2) → distanceA2C2Distance(A, C) → distanceACDistance(F, a_3) → distanceFaDistance(A, B) → distanceABDistance(A_2, B_2) → distanceA2B2OrthogonalLine(C_1, m) → tOrthogonalLine(B_1, i) → a_1OrthogonalLine(A_1, h) → b_1Intersect(t, b_1) → B_3Intersect(a_1, t) → A_3Intersect(b_1, a_1) → C_3Distance(A_3, C_3) → distanceKLDistance(A_2, C_2) → oDistance(B_3, C_3) → distanceJLDistance(B_2, C_2) → distanceB2C2Distance(B, C) → distanceBCDistance(A, C) → uDistance(C_3, B_3) → distanceLJDistance(A_3, C_3) → vLine(A, A_2) → c_1Line(C, C_2) → d_1Line(B, B_2) → e_1Polygon(C_3, A_3, B_3) → poly1, j_1, l_1, k_1Angle(h, b_1) → βAngle(l, a_1) → γAngle(m, t) → δDistance(C_2, C_3) → distanceC2C3Distance(C_2, C) → distanceC2CDistance(B, B_2) → distanceBB2Distance(B_2, B_3) → distanceB2B3Distance(A, F) → distanceAFDistance(F, A_3) → distanceFA3Segment(C, C_3) → f_1Segment(A_1, B_3) → aSegment(C_1, B_3) → cSegment(B, B_3) → i_1Segment(A, A_3) → m_1Segment(B_1, A_3) → b