GeoGebra参数曲线与积分演示

GeoGebra 命令及参数

1. CurveCartesian(x(B) + (open * cos(t + k)) + (0.5 * cos((7 * t))) + (1 / 3 * cos((-17 * t) + 3.142 / 2)), y(B) + 2.5, z(B) + (open * sin(t + k)) + (0.5 * sin((7 * t))) + (1 / 3 * sin((-17 * t) + 3.142 / 2)), t, 0, theta) → b
2. Segment(C, D) → e
3. Segment(A, E) → i
4. CurveCartesian(x(A) + (a_1 * cos(i + k)), y(A), z(A) + (a_1 * sin(i + k)), i, 0, theta) → a
5. Midpoint(i) → G
6. Surface(x(A) + ((j * cos(i°)) * cos(((m * i))°)), y(A) + ((0.5 * (j - 1)) * cos(((m * i))°)^(2)), z(A) + ((j * sin(i°)) * cos(((m * i))°)), i, 0, 720, j, 0, 4.8) → l
7. Surface(x(A) + 0.45 + (u * x(a(t))) + ((1 - u) * x(b(t))), y(A) + 3.5 + (u * y(a(t))) + ((1 - u) * y(b(t))), z(A) + (u * z(a(t))) + ((1 - u) * z(b(t))), t, 0, theta, u, 0, c) → d
8. Surface(x(G) + ((j * cos(i°)) * cos(((m / 4 * i))°)), y(G) + ((j - 1) * cos(((m / 4 * i))°)^(2)), z(G) + ((j * sin(i°)) * cos(((m / 4 * i))°)), i, 0, 720, j, 0, 4.8) → n
9. Sphere(A + (0, 0, 1), a_1 - 0.01) → g
10. Surface(x(A) + ((a_1 * cos(i)) * cos(j)), y(A) + ((a_1 * cos(i)) * sin(j)), z(A) + (a_1 * sin(i)), i, 0, (2 * π), j, 0, π) → o
11. Surface(x(A) + (((a_1 - 0) * cos(i)) * cos(j)), y(A) + 0.1 + (((a_1 - 0) * cos(i)) * sin(j)), z(A) + ((a_1 - 0) * sin(i)), i, (-π), π, j, (-0.5 * π), (0.5 * π)) → f