物理问题:可分微分方程
几何画板及绘图内容加载中,请稍等……
这个范例演示了一个物理问题,通过可分微分方程来描述。核心数学概念包括微分方程和可分方程。使用了Intersect, Point, Segment, Polygon, Circle, OrthogonalLine, Vector等GeoGebra命令进行构造。适合高中物理和数学课程使用。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APoint(yAxis) → BSegment((5, 0), (5, 2)) → gSegment((0, 0), (0, 2)) → fSegment(B, D) → a_2Polygon(A, B, D, E) → poly1, a_1, b_2, d, eIntersect(p, c, (11.32455531795991, 1.5032515232604737E-9)) → CIntersect(p, c, (11.32455531795991, 1.5032515232604737E-9)) → FIntersect(i, j) → GIntersect(i, k) → HSegment(H, G) → lIntersect(p, m, (10.916079783099388, 0.250000000000135)) → IIntersect(k, m) → JSegment(J, I) → nIntersect(m, g) → KSegment(K, I) → qIntersect(h, r, (2, 1.75)) → LIntersect(p, r, (7.1713, 1.7642728155)) → MCircle(M, 0.25) → tPoint(Circle[(0, 1.75), 5]) → NSegment(K, I) → b_1Segment(E, O) → d_1Intersect(r, a_2) → QCircle(Q, 0.25) → c_1Circle(Q, 0.26867087944031054) → g_1OrthogonalLine(M, d_1) → h_1Intersect(h_1, d_1) → RSegment(R, M) → i_1OrthogonalLine(C, xAxis) → j_1OrthogonalLine(I, j_1) → k_1OrthogonalLine(I, xAxis) → l_1Intersect(c, l_1) → SSegment(S, I) → m_1Segment((5, 2), (a, 2)) → n_1Intersect(r, n_1) → TCircle(T, 0.25) → q_1Circle(T, 0.23573262929063565) → r_1Vector((5, 2), (a, 2)) → u_1Vector((a, 2), (a, 0.25)) → v_1Vector((5, 2), (a, 0.25)) → w_1Point(u_3) → USegment(U, T) → u_2Segment(U, M) → w_2Segment(T, M) → vSegment((2, 1.75), N) → s_1Segment(P, V) → bPolygon(P, N, E, V) → poly2, p_1, n_2, e_1, v_2OrthogonalLine(M, f_1) → c_2Intersect(f_1, c_2) → WCircle(W, 0.25) → d_2Circle(W, 0.23702296356931926) → e_2Point(Circle[(2, 0), 12]) → ZSegment((2, 0), Z) → f_2Segment(D, M) → wSegment(D, T) → t_1Segment(D, T) → g_2OrthogonalLine(M, d_1) → h_2Intersect(h_2, d_1) → A_1Segment(A_1, M) → i_2Point(Circle[(5, 2), i_2]) → B_1Segment((5, 2), B_1) → u
AI 绘图提示语参考
画一个坐标系,在x轴和y轴上标出交点,然后从点(5,0)到(5,2)画一条水平线段,从(0,0)到(0,2)画一条垂直线段,连接这两条线段与y轴上的另一点形成一个四边形。再在四边形内部画一个圆,圆心在(7.1713, 1.7642728155),半径为0.25。在圆上标出几个点,并连接这些点形成闭合图形。最后,从圆心向x轴和y轴分别画垂线,并在垂线上标出交点,连接这些交点形成新的图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。