平面图形综合
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①本范例演示了菱形、梯形、平行四边形等平面图形的几何性质与计算;②涉及核心概念包括周长、面积、角平分线、特殊点、几何作图等;③构造过程中运用了线段、角平分线、点、线、交点、距离、角度、圆等 GeoGebra 命令与对象;④适合初中数学几何教学与学习,用于巩固平面图形的理解与计算。
GeoGebra 命令及参数
Segment(P, R) → bLineBisector(b) → cPoint(c) → QSegment(Q, P) → dSegment(Q, R) → eLineBisector(G, E) → aPoint(a) → DPoint(a) → FSegment(D, G) → fSegment(G, F) → gSegment(F, E) → hSegment(D, E) → iSegment(G, E) → jSegment(D, F) → kSegment(I, J) → lSegment(J, K) → mLine(I, m) → nLine(K, l) → pIntersect(n, p) → HLineBisector(b) → qDistance(p, l) → oIntersect(n, p) → L_1Intersect(l, n) → M_1Intersect(m, p) → N_1Segment(H, K) → rSegment(H, I) → sSegment(I, K) → tSegment(H, J) → a_1Intersect(t, a_1) → BSegment(I, B) → b_1Segment(K, B) → c_1Segment(H, B) → d_1Segment(J, B) → e_1Angle(I, B, H) → αAngle(K, B, J) → βIntersect(j, k) → CSegment(E, C) → f_1Segment(F, C) → g_1Segment(D, C) → h_1Segment(C, G) → i_1Angle(G, C, F) → γAngle(F, C, E) → δAngle(E, C, D) → εAngle(D, C, G) → ζSegment(M, O) → j_1LineBisector(j_1) → k_1Point(k_1) → NCircle(M, N) → p_1Intersect(p_1, k_1) → P_1, LSegment(M, L) → l_1Segment(L, O) → m_1Segment(O, N) → n_1Segment(N, M) → q_1Intersect(k_1, j_1) → ASegment(N, A) → r_1Intersect(q, b) → YSegment(A, L) → t_1Segment(O, A) → a_2Segment(A, M) → b_2Segment(R, Y) → s_1Segment(Y, P) → c_2Segment(Y, Q) → d_2Angle(R, Y, Q) → ηAngle(M, A, L) → θAngle(N, A, M) → ιAngle(O, A, N) → κAngle(L, A, O) → λ
AI 绘图提示语参考
绘制一个综合平面图形练习:先画一条线段,并作其垂直平分线,在平分线上取一点,连接该点与线段两端点形成等腰三角形。再构造另一组点与线段,形成风筝形和菱形,并作出它们的对角线、角平分线及交点。接着画出由多条线段围成的四边形,标出对角线交点,并测量相关角度。最后,以某线段为半径作圆,并在圆上取点,完成图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。