ROBLOX Logo 几何绘制
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①本范例演示了如何使用 GeoGebra 绘制 ROBLOX Logo 的几何图形;②涉及的核心数学概念包括二维向量、角度、正方形、内切圆、加法、正态分布、实数、乘法等;③作图要点提炼自构造摘要,使用了 LineBisector(角平分线)、Line(直线)、OrthogonalLine(垂线)、Vector(向量)、OrthogonalVector(正交向量)、Intersect(交点)、Mirror(镜像)、Rotate(旋转)、Polygon(多边形)、CircleArc(圆弧)、Sequence(序列)等 GeoGebra 命令和对象;④适合高中数学教学,用于展示向量、几何变换和复杂图形的绘制方法。
GeoGebra 命令及参数
LineBisector(A, B) → mLine(A, B) → sOrthogonalLine(A, s) → bVector(A, B) → uOrthogonalVector(u) → vOrthogonalLine(F, b) → fOrthogonalLine(B_1, b) → aLineBisector(A_1, A) → lIntersect(m, l) → IMirror(f, l) → f'OrthogonalLine(D, s) → iIntersect(i, f') → EOrthogonalLine(Z, i) → hOrthogonalLine(H, i) → kOrthogonalLine(N, h) → pIntersect(p, k) → ORotate(O, (-(15°)), I) → O'_3Mirror(O, m) → O'Rotate(O', (-(15°)), I) → O''_2LineBisector(O'_3, O''_2) → nOrthogonalLine(G, b) → tOrthogonalLine(U, k) → qOrthogonalLine(A_1, b) → rOrthogonalLine(K, l) → jIntersect(t, j) → I_1OrthogonalLine(B, u, xOyPlane) → gIntersect(g, r) → CMirror(f, l) → f'_1Mirror(F, l) → F'Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2CircleArc(I_1, K, G) → cIntersect(m, f') → JIntersect(l, i) → LIntersect(m, k) → MIntersect(l, p) → PIntersect(h, q) → RMirror(K, m) → K'Mirror(G, l) → G'Mirror(K, l) → K'_1Mirror(G, m) → G'_1Mirror(K'_1, m) → TMirror(G', m) → G''Mirror(O, l) → O'_1Mirror(O', l) → O''Mirror(R, m) → R'Mirror(R', l) → R''Mirror(R, l) → R'_1Polygon(G'_1, K', K, G, G', K'_1, T, G'') → polígono1, g'_1, k', k_1, g_1, g', k'_1, t_1, g''Mirror(c, m) → c'Mirror(c, l) → c'_1Mirror(c'_1, m) → dPolygon(O', O'', O'_1, O) → c1, o', o'', o'_1, oPolygon(R, R', R'', R'_1) → c2, r_1, r', r'', r'_1Rotate(O', (-(30°)), I) → O''_1Rotate(O'', (-(30°)), I) → O'''Rotate(O'_1, (-(30°)), I) → QRotate(O, (-(30°)), I) → O'_2Rotate(O'', (-(15°)), I) → O'''_1Rotate(O'_1, (-(15°)), I) → SPolygon(O''_2, O'''_1, S, O'_3) → c1', o''_2, o'''_1, s_1, o'_3Rotate(R, (-(15°)), I) → R'_2Rotate(R', (-(15°)), I) → R''_1Rotate(R'', (-(15°)), I) → R'''Rotate(R'_1, (-(15°)), I) → VPolygon(R'_2, R''_1, R''', V) → c2', r'_2, r''_1, r''', v_1Intersect(n, a) → WSequence(Polygon[Dilate[S, k, O''_2], Dilate[O'''_1, k, O''_2], Dilate[O''_2, k, O''_2], Dilate[O'_3, k, O''_2]], k, 0, 1, 0.03) → l1CircleArc(W, O'_3, O''_2) → e
AI 绘图提示语参考
绘制一个ROBLOX标志,首先通过点A和B绘制线段的中垂线m,接着绘制线段AB,再绘制AB的垂线b,然后通过向量u和v构造一系列的垂线和反射线,最终通过旋转、镜像和交点构造标志的各个部分,形成一个复杂的几何图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。