抛物线动画62
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该范例演示了抛物线的动态变化。核心数学概念包括抛物线、向量和不等式。通过使用GeoGebra命令如Line, Parabola, OrthogonalLine等,构建了一个动态的抛物线模型。适合高中数学教学和学习。
GeoGebra 命令及参数
Line(A, B) → aParabola(C, a) → cOrthogonalLine(C, a) → bPoint(c) → DTangent(D, c) → d,Intersect(b, d) → EIntersect(a, b) → FDistance(E, F) → eCircle(D, (0.8 * e)) → gSegment(C, D) → hIntersect(g, d) → I, JIntersect(g, h, 1) → KCircleSector(D, K, J) → kDilate(C, If[-0.5 < i ≤ 0.5, 0.5 - i, 0], D) → C'Segment(C, C') → jDilate(D, If[1 < i ≤ 2, 2 - i, 0], E) → D'Vector(D, D') → uTranslate(k, u) → k'Vector(D, E) → vTranslate(K, v) → K'Translate(I, v) → I'Angle(I', E, K') → αCircleArc(D, K, J) → fRotate(k', If[2 < i ≤ 3, ((-(i - 2)) * α), (-α)], E) → k''Intersect(b, a) → GCircle(G, 0.1) → pIntersect(p, a, 2) → HIntersect(p, b, 2) → LAngle(H, G, L) → β