基本三角函数比例练习题生成器
几何画板及绘图内容加载中,请稍等……
本范例用于生成基本三角函数比例练习题的图形。它涉及正弦、余弦和比例的概念。通过使用GeoGebra命令如交点、点、线段、正交线、圆、角、旋转等,可以构造出多种几何图形。适合初中和高中学生进行三角函数学习和练习。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APoint(Circle[A, l_1]) → BSegment(A, B) → aOrthogonalLine(A, a) → bCircle(A, l_2) → cIntersect(c, b) → C_1, CSegment(A, C) → dSegment(B, C) → eAngle(B, A, C) → αPoint(xAxis) → DPoint(Circle[D, l_1]) → ESegment(D, E) → fOrthogonalLine(D, f) → gRotate(D, -θ_1, E) → D'Angle(D', E, D) → θLine(E, D') → hIntersect(h, g) → FSegment(E, F) → iSegment(D, F) → jAngle(E, D, F) → βDistance(f, j) → kDistance(e, a) → lAngle(C, B, A) → γPoint(Circle[G, l_1]) → HSegment(G, H) → mOrthogonalLine(G, m) → nCircle(H, l_2) → pIntersect(p, n) → I, JSegment(H, J) → qSegment(G, J) → rAngle(H, G, J) → δAngle(J, H, G) → εPoint(Circle[K, l_1]) → LSegment(K, L) → sCircle(L, l_2) → tOrthogonalLine(K, s) → a_1Intersect(t, a_1) → M, NSegment(L, M) → b_1Segment(K, M) → c_1Angle(M, K, L) → ζAngle(L, M, K) → ηPoint(Circle[P, l_2]) → QSegment(P, Q) → d_1Rotate(Q, θ_1, P) → Q'Angle(Q, P, Q') → ιRotate(P, -(90° - θ_1), Q) → P'Angle(P', Q, P) → κLine(P, Q') → e_1Line(Q, P') → f_1Intersect(e_1, f_1) → RSegment(Q, R) → g_1Segment(P, R) → h_1Angle(P, R, Q) → λPoint(Circle[S, l_2]) → TSegment(S, T) → i_1OrthogonalLine(T, i_1) → j_1Rotate(T, 90° - θ_1, S) → T'Angle(T, S, T') → μLine(S, T') → k_1Intersect(j_1, k_1) → USegment(T, U) → m_1Segment(S, U) → n_1Angle(U, T, S) → νAngle(S, U, T) → ξPoint(Circle[V, l_1]) → WSegment(V, W) → s_1Circle(W, l_2) → t_1OrthogonalLine(V, s_1) → a_2Intersect(t_1, a_2) → X, N_1Segment(W, X) → b_2Segment(V, X) → c_2Angle(X, V, W) → ζ_1Angle(X, W, V) → η_1
AI 绘图提示语参考
绘制一个直角三角形ABC,其中AB为底边,AC为斜边,∠BAC为直角。接着在AB上取点D,以D为圆心画圆,交AC于点E,DE为弦。构造DE的垂线交AC于点F,连接DF。然后以D为旋转中心,将DE逆时针旋转θ1度得到DE',构造∠ED'E。接着以E为圆心画圆,交DE'于点F',连接EF'。构造EF'的垂线交DE于点G,连接EG。最后以E为旋转中心,将EF'逆时针旋转(90°-θ1)度得到EF'',构造∠FE'F''。
以上提示语为根据原始绘图命令整理而来,仅供参考。