相似三角形几何演示
几何画板及绘图内容加载中,请稍等……
①本范例演示相似三角形的判定与性质,通过动态演示加深理解;②涉及核心概念:几何作图、相似三角形判定定理、线性方程、对数函数;③作图要点:使用Mirror(镜像)、Ray(射线)、Point(点)、Line(直线)、Polygon(多边形)、Intersect(交点)、Segment(线段)、Dilate(缩放)、OrthogonalLine(垂线)、Angle(角度)、Perimeter(周长)、PointIn(点在线上)、Distance(距离)等命令构建图形;④适合高中数学学生及教师用于教学演示和概念理解。
GeoGebra 命令及参数
Mirror(G, F) → G'Ray(F, G') → lPoint(l) → JLine(H, F) → n_2Polygon(F, G, H) → poly2, h_1, f_1, g_1Line(J, f_1) → m_2Intersect(n_2, m_2) → B_1Line(A, B) → b_1Polygon(C, A, B) → poly1, b, c, a_2Ray(A, C) → gPoint(g) → DLine(D, a_2) → l_2Intersect(b_1, l_2) → A_1Ray(A, B) → fSegment(D, A) → hSegment(E, A) → iSegment(D, E) → jMirror(H, F) → H'Ray(F, H') → kSegment(I, F) → mSegment(F, J) → nSegment(J, I) → pPolygon(A, D, E) → poly3, e, a_1, dPolygon(F, J, I) → poly4, i_1, f_2, j_1Polygon(K, L, M) → poly5, m_1, k_1, l_1Dilate(M, o, M) → M'Dilate(K, o, Scale) → K'Dilate(L, o, Scale) → L'Dilate(M, o, Scale) → M'_1Polygon(K', L', M'_1) → poly5', m'_1, k', l'Segment(O, P) → qSegment(O, Q) → rSegment(P, Q) → sDilate(O, 1 / 3, Q) → O'Line(O', s) → tIntersect(q, t) → RSegment(R, O') → n_1Segment(O, O') → p_1Segment(O', Q) → q_1Segment(R, P) → r_1Segment(R, O) → s_1Line(A, C) → t_1Line(F, p) → c_1Line(G, m) → d_1Intersect(d_1, c_1) → SLine(T, U) → e_1OrthogonalLine(T, e_1) → g_2Point(g_2) → VPoint(e_1) → WSegment(V, W) → h_2Segment(W, T) → i_2Segment(T, V) → j_2OrthogonalLine(T, h_2) → k_2Intersect(h_2, k_2) → ZAngle(T, V, Z) → αAngle(V, Z, T) → βAngle(T, W, Z) → γAngle(T, Z, W) → δAngle(W, T, Z) → εAngle(V, T, Z) → ζAngle(poly3) → η, θ, ιAngle(poly3) → κ, λ, μAngle(poly3) → ν, ξ, οAngle(A, B, C) → ρAngle(B, C, A) → σPerimeter(poly3) → perimeterpoly3PointIn(poly3) → Pointpoly3_1Perimeter(poly3) → uPointIn(poly3) → Pointpoly3Angle(B_1, F, J) → τAngle(G, F, H) → υDistance(m_1, k_1) → v
AI 绘图提示语参考
绘制两个相似三角形,三角形ABC和DEF,其中点A、B、C构成三角形ABC,点D、E、F构成三角形DEF。通过镜像、射线、点、线、多边形等命令构建图形,利用相似三角形的性质,通过镜像和缩放等操作,构造出相似的三角形。
以上提示语为根据原始绘图命令整理而来,仅供参考。