使用量角器测量角 by Nicolas ERDRICH
几何画板及绘图内容加载中,请稍等……
本范例演示如何使用量角器测量角。核心数学概念包括角度测量和几何作图。使用了Circle, Point, Line, OrthogonalLine, If, Intersect, Vector, Segment, Sequence, Translate, Angle, Textfield等GeoGebra命令。适合初中及以上学生学习角度测量和几何作图。
GeoGebra 命令及参数
Circle(A, 5.4) → cPoint(c) → BLine(B, A) → aOrthogonalLine(A, a) → bIf(n ≟ 0, Random[10, 175], Random[190, 350]) → rndomCircle(M_1, 6) → qIntersect(q, Line[M_1, M_5]) → M_2, M_4Circle(A, 4.5) → gCircle(A, 4) → eCircle(A, 5) → dVector(A, A) → uIntersect(e, a, 2) → I_0Intersect(d, a, 1) → L_0Segment(I_0, L_0) → fIntersect(g, f, 2) → J_0Segment(J_0, L_0) → hCircle(A, 4.75) → kIntersect(k, h, 1) → K_0Segment(L_0, K_0) → iSequence(Translate[Segment[Rotate[J_0, 5° * k, A], Rotate[L_0, 5° * k, A]], u], k, 1, 36) → GraduationsCinqTranslate(b, u) → b'Point(b) → DCircle(D, 2) → pSequence(Translate[Segment[Rotate[L_0, k°, A], Rotate[K_0, k°, A]], u], k, 1, 180) → GraduationsUnitésSequence((Random[10, 15], Random[-5, 5]), k, 0, 2) → ListeAngle(M_2, M_1, Rotate[M_2, rndom°, M_1]) → ang_2Textfield(ang) → entréeSegment(M_1, M_2) → lSegment(M_1, Rotate[M_2, ang_2, M_1]) → sSegment(A, B) → mIntersect(p, a) → J, J_2Intersect(p, a, 1) → HIntersect(e, a) → C, ESequence(Translate[Segment[Rotate[C, 10° * k, A], Rotate[L_0, 10° * k, A]], u], k, 0, 18) → GraduationsDizainesIf(abs(ang_2 - 31°) < 0.5°, Text["BRAVO !"], Text[" FAUX ! "]) → texteIf(n ≟ 0, Random[10, 175], Random[190, 350]) → rndom_1Circle(M_6, 6) → q_1Intersect(q_1, Line[M_6, M_3]) → M_7, M_8Angle(M_7, M_6, Rotate[M_7, rndom_1°, M_6]) → ang_1Segment(M_6, M_7) → l_1
AI 绘图提示语参考
绘制一个包含圆、点、线和角度测量的几何图形。首先画一个圆,从中取一点作为起点,画一条线段,然后画一条与之垂直的线。接着随机生成一个角度,用该角度在圆上取两个点,连接这些点形成一个角。使用向量平移这些线段,生成角度刻度线。最后,根据生成的角度判断是否正确。
以上提示语为根据原始绘图命令整理而来,仅供参考。