复数三角函数
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所属专题
Complex Math
①本范例演示复数与三角函数的结合,通过动态图形展示复数的几何意义与三角函数性质;②涉及核心概念包括复数、三角函数、圆、向量、解析几何;③作图要点使用Vector(向量)、Point(点)、Segment(线段)、Line(直线)、OrthogonalLine(垂线)、Intersect(交点)、Mirror(镜像)等GeoGebra命令;④适合高中及以上数学学习,用于理解复平面、三角函数图像及几何变换。
GeoGebra 命令及参数
Vector((a, 0)) → uVector((a, 0), (a, b)) → vVector((a, 0), (a, c)) → wPoint(w) → ESegment(C, E) → lPoint(v) → FSegment(C, F) → mVector((b, 0), (b, f)) → nVector((b, 0), (b, g)) → pPoint(p) → GPoint(n) → DSegment(C, G) → jSegment(C, D) → kPoint(u) → ILine(G, j) → qLine(F, w) → rPoint(q) → JPoint(u) → KOrthogonalLine(J, xAxis) → d_1Intersect(s, t) → PSegment(C, P) → a_1Intersect(t, yAxis) → QSegment(Q, P) → b_1Segment(T, P) → c_1Segment(S, A_1) → e_1Segment(R, Z) → f_1Segment(U, B_1) → g_1Segment(V, C_1) → h_1Segment(C, W) → i_1Mirror(C, c_1) → C'Mirror(W, c_1) → W'Segment(C', W') → j_1Mirror(R, c_1) → R'Mirror(Z, c_1) → Z'Segment(R', Z') → k_1Mirror(S, c_1) → S'Mirror(A_1, c_1) → D_1Segment(S', D_1) → l_1Mirror(Q, c_1) → Q'Mirror(P, c_1) → P'Segment(Q', P') → m_1Mirror(V, c_1) → V'Mirror(C_1, c_1) → E_1Segment(V', E_1) → n_1Mirror(U, c_1) → U'Mirror(B_1, c_1) → F_1Segment(U', F_1) → p_1Mirror(S', j_1) → S''Mirror(D_1, j_1) → G_1Segment(S'', G_1) → q_1Mirror(R', j_1) → R''Mirror(Z', j_1) → Z''Segment(R'', Z'') → r_1Mirror(Q', j_1) → Q''Mirror(P', j_1) → P''Segment(Q'', P'') → s_1Mirror(V', j_1) → V''Mirror(E_1, j_1) → H_1Segment(V'', H_1) → t_1Mirror(U', j_1) → U''Mirror(F_1, j_1) → I_1Segment(U'', I_1) → a_2Mirror(S'', s_1) → S'''Mirror(G_1, s_1) → K_1Segment(S''', K_1) → b_2Mirror(V'', s_1) → V'''Mirror(H_1, s_1) → J_1Segment(V''', J_1) → c_2Mirror(U'', s_1) → U'''Mirror(I_1, s_1) → L_1Segment(U''', L_1) → d_2Mirror(R'', s_1) → R'''Mirror(Z'', s_1) → Z'''Segment(R''', Z''') → e_2Segment(C, E) → f_2Segment(C, F) → g_2