圆柱的平面截面
几何画板及绘图内容加载中,请稍等……
这个范例演示了圆柱的平面截面,展示了Dandelin球的概念。核心数学概念包括圆柱、截面、菱形或矩形、向量等。通过使用GeoGebra命令如OrthogonalLine、InfiniteCylinder、Line、Point等,可以构造出圆柱的截面图形。适合高中几何和立体几何课程。
GeoGebra 命令及参数
OrthogonalLine(T, xOyPlane) → aInfiniteCylinder(a, r) → bLine(B_1, a) → cLine(C_1, a) → dPoint(c) → APoint(d) → BPlane(A, a) → eLine(A, B) → fIntersect(a, f) → MOrthogonalPlane(M, a) → gOrthogonalPlane(M, f) → hIntersectPath(h, g) → iIntersect(i, b) → C, DOrthogonalLine(M, f, e) → kCircle(M, r, e) → pIntersect(k, p) → E, FLine(F, f) → lLine(E, f) → mIntersect(a, l) → M_2Intersect(a, m) → M_1OrthogonalLine(M_2, f, e) → nOrthogonalLine(M_1, f, e) → qIntersect(f, q) → F_1Intersect(f, n) → F_2Plane(f, i) → εEllipse(F_1, F_2, C, ε) → sOrthogonalLine(M_2, a, e) → tOrthogonalLine(M_1, a, e) → a_1Intersect(d, t) → GIntersect(d, a_1) → HCircle(a, G) → c_1Circle(a, H) → d_1Sphere(M_2, F_2) → kug2Sphere(M_1, F_1) → kug1Circle(M_2, F_2, e) → k_2Circle(M_1, F_1, e) → k_1Point(s) → PLine(P, c) → b_1Intersect(b_1, c_1) → P_2,Intersect(b_1, d_1) → P_1,Segment(F_1, P) → l_1Segment(P, P_1) → f_1Segment(F_2, P) → l_2Segment(P, P_2) → h_1Angle(n, f, e) → αAngle(f, q, e) → β