勾股定理演示 by user25677_1
几何画板及绘图内容加载中,请稍等……
①本范例演示直角三角形三边关系;②涉及勾股定理、相似三角形等核心概念;③使用Segment, Semicircle, Point, Polygon, Angle, OrthogonalLine, Circle, Intersect, Line, Midpoint等GeoGebra命令构建图形;④适合初中及以上数学教学与学习。
GeoGebra 命令及参数
Segment(A, B) → dSemicircle(A, B) → c_2Point(c_2) → CPolygon(A, B, C) → poly1, c, a, bAngle(poly1) → α, β, γOrthogonalLine(C, a) → eOrthogonalLine(B, a) → fCircle(C, B) → gIntersect(g, e, 1) → DLine(D, a) → hIntersect(f, h) → EPolygon(C, B, E, D) → poly2, c_1, b_1, e_1, d_1OrthogonalLine(C, b) → iOrthogonalLine(A, b) → jCircle(C, A) → kIntersect(k, i, 1) → FLine(F, b) → lIntersect(j, l) → GPolygon(A, C, F, G) → poly3, a_1, c_3, f_1, g_1OrthogonalLine(A, c) → mOrthogonalLine(B, c) → nCircle(A, B) → pIntersect(p, m, 1) → HLine(H, c) → qIntersect(n, q) → IPolygon(A, H, I, B) → poly4, a_2, h_1, i_1, b_2Midpoint(F, A) → JMidpoint(A, I) → KMidpoint(D, B) → L
AI 绘图提示语参考
绘制一个直角三角形ABC,其中点C在AB的中垂线上,点D、E、F、G、H、I分别是相应边的中点。构造直角三角形的斜边上的半圆,以及通过直角顶点的中垂线,利用这些线和圆构造出四个小三角形,展示毕达哥拉斯定理的关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。