物理平衡-单个三角形+分量向量
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①本范例演示了物理平衡状态下单个三角形与分量向量的关系;②涉及的核心数学概念包括向量、三角形、角度、长度计算及正交线;③作图要点:使用Segment, Point, Line, Intersect, Vector, Translate, Angle, OrthogonalLine, Length, SelectedElement等GeoGebra命令和对象构建图形;④适合高中物理与数学教学,用于理解力的平衡与向量分解。
GeoGebra 命令及参数
Segment(G, I) → jPoint(j) → HSegment(G, H) → rLine(J, G) → lLine(P, l) → pLine(G, K) → mLine(P, m) → nIntersect(n, l) → OVector(G, O) → vIntersect(p, m) → QVector(G, Q) → wTranslate(R, v) → R'Translate(R', w) → R''Angle(R'', R', R) → ηVector(G, H) → uOrthogonalLine(G, u, xOyPlane) → kIntersect(n, k) → MAngle(O, G, M, xOyPlane) → γAngle(R', R'', R) → εSegment(A, B) → fPoint(f) → CPoint(f) → DSegment(C, E) → gSegment(E, D) → hSegment(E, F) → iAngle(f, g) → αAngle(f, h) → βSegment(P, G) → qLength(q) → aLength(r) → bSegment(J, O) → sSegment(Q, K) → tIntersect(p, k) → NAngle(Q, G, N, xOyPlane) → δ_1SelectedElement(L) → text8Vector(R, R') → cVector(R', R'') → dTranslate(R'', u) → R'''Vector(R'', R''') → eOrthogonalLine(R', e, xOyPlane) → f_1Segment(R'', R) → g_1Intersect(f_1, g_1) → SAngle(S, R', R, xOyPlane) → ε_1Angle(R'', R', S, xOyPlane) → ζAngle(R', R, R'') → δSegment(R', S) → h_1Segment(M, N) → i_1OrthogonalLine(O, i_1, xOyPlane) → j_1OrthogonalLine(Q, i_1, xOyPlane) → k_1Intersect(i_1, j_1) → TIntersect(k_1, i_1) → UVector(G, T) → u_1Vector(T, O) → v_1Vector(G, U) → w_1Vector(U, Q) → a_1Segment(V, W) → l_1Segment(Z, A_1) → m_1Intersect(l_1, m_1) → B_1Vector(B_1, Z) → b_1Vector(B_1, W) → c_1Vector(B_1, A_1) → d_1Vector(B_1, V) → e_1Segment(C_1, D_1) → n_1Segment(E_1, F_1) → p_1