勾股定理动态演示 by Mathimation

几何画板及绘图内容加载中，请稍等……

2017-08-16 05:32

①本范例动态演示勾股定理，通过可视化方式展示直角三角形三边关系；②核心数学概念包括勾股定理、周长、自然数、减法、随机过程、等边三角形；③作图要点运用了Line, OrthogonalLine, Point, Segment, Angle, Polygon, Mirror, Midpoint等GeoGebra命令与对象，构建直角三角形及相关图形；④适合初中及以上数学学习者，用于理解勾股定理及几何作图。

GeoGebra 命令及参数

Line(E, D) → a_2
OrthogonalLine(D, a_2) → b_1
Point(b_1) → G
Segment(E, G) → c
Segment(D, G) → a
Segment(E, D) → b
Angle(E, D, G) → α
Polygon(E, D, G) → poly4, g_1, e_1, d_1
Polygon(G, D, 4) → poly2, m, n, p, q, I, J
Mirror(poly2, a) → Area_a
Polygon(E, G, 4) → poly3, r, s, t, a_1, K, L
Mirror(poly3, c) → Area_c
Polygon(D, E, 4) → poly1, e, i, j, k, F, H
Mirror(poly1, b) → Area_b
Midpoint(E, D) → B
Midpoint(D, G) → A
Midpoint(G, E) → C