面积与周长 by vinylmath
几何画板及绘图内容加载中,请稍等……
①本范例演示了如何计算多边形的面积与周长;②涉及核心数学概念包括面积、周长、解析几何、几何作图;③作图要点:使用Line, Point, OrthogonalLine, Segment, Vector, Translate, Circle, Intersect, Polygon, Distance, Perimeter等GeoGebra命令和对象;④适合高中阶段学生学习和理解多边形的几何性质与计算方法。
GeoGebra 命令及参数
Line((0, 0), (0, 1)) → yaxisPoint(yaxis) → A_1OrthogonalLine(A_1, yAxis) → aPoint(a) → B_1Segment(A_1, B_1) → bPoint(b) → C_1Point(b) → D_1Segment(A_1, C_1) → cSegment(C_1, D_1) → dSegment(D_1, B_1) → eVector(A_1, C_1) → uTranslate(A, u) → CSegment(A, C) → fCircle(A, d) → gCircle(C, e) → hIntersect(g, h, 1) → BPolygon(A, B, C) → poly1, e', e_1, f_1Distance(e_1, e') → iDistance(f, c) → jDistance(d, e) → kOrthogonalLine(A_1, c) → lOrthogonalLine(B_1, e) → mPoint(yaxis) → E_1OrthogonalLine(E_1, l) → nIntersect(m, n) → F_1Segment(E_1, F_1) → pPoint(p) → GPoint(p) → HSegment(E_1, G) → qSegment(G, H) → rSegment(H, F_1) → sVector(E_1, G) → vTranslate(D, v) → FCircle(D, r) → tCircle(F, s) → c_1Intersect(t, c_1, 1) → EPolygon(D, E, F) → poly2, i', i_1, j_1Segment(E_1, G) → a_1Perimeter(poly1) → perimeterpoly1Perimeter(poly2) → perimeterpoly2Distance(r, a_1) → oDistance(e, s) → wDistance(c, d) → z
AI 绘图提示语参考
画一个由三条线段构成的三角形,再以其中一条边为直径画圆,交点构成新的多边形,并计算周长和面积。
以上提示语为根据原始绘图命令整理而来,仅供参考。