勾股定理演示 by Mary Anne Ward
几何画板及绘图内容加载中,请稍等……
这个范例演示了勾股定理,即直角三角形的两条直角边的平方和等于斜边的平方。核心概念包括直角三角形、勾股定理和相似变换。通过使用GeoGebra命令如Segment、OrthogonalLine、Circle等,可以动态展示直角三角形的边长关系。适合初中及以上学生学习几何和三角函数。
GeoGebra 命令及参数
Segment(A, B) → aOrthogonalLine(B, a) → bPoint(b) → CSegment(C, A) → cSegment(C, B) → dCircle(C, B) → eOrthogonalLine(C, d) → fIntersect(e, f, 2) → DSegment(D, C) → gOrthogonalLine(B, d) → hOrthogonalLine(D, g) → iIntersect(h, i) → ESegment(E, B) → jSegment(E, D) → kPolygon(C, D, E, B) → poly1, c_1, d_1, e_1, b_1PointIn(poly1) → Pointpoly1Circle(A, B) → pOrthogonalLine(A, a) → lIntersect(p, l, 1) → FCircle(B, A) → qOrthogonalLine(B, a) → mIntersect(q, m, 1) → GOrthogonalLine(G, m) → nLine(A, F) → rSegment(A, F) → sSegment(F, G) → tSegment(G, B) → a_1Polygon(A, B, G, F) → poly2, a_2, b_2, g_1, f_1PointIn(poly2) → Pointpoly2Circle(C, A) → h_1Circle(A, C) → k_1OrthogonalLine(C, c) → i_1OrthogonalLine(A, c) → j_1Intersect(h_1, i_1, 1) → HIntersect(k_1, j_1, 1) → ISegment(I, H) → l_1Segment(H, C) → m_1Polygon(I, H, C, A) → poly3, i_2, h_2, c_2, a_3PointIn(poly3) → Pointpoly3_1PointIn(poly3) → Pointpoly3
AI 绘图提示语参考
画一个直角三角形,标注出斜边和两条直角边,并分别以三边为边长绘制三个正方形。动态展示斜边正方形的面积等于两个直角边正方形面积之和,通过坐标几何和三角函数关系,用辅助线和圆来验证勾股定理。
以上提示语为根据原始绘图命令整理而来,仅供参考。