圆柱与正弦波面积计算 by Center for Creative Learning, IIT Gn

GeoGebra 命令及参数

1. If(theta ≤ π / 2, π / 2, If[theta ≥ (3 * π / 2), (3 * π / 2), theta]) → theta_{cond}
2. Segment(A, B) → i
3. Plane(PlaneRef, PlaneRef2, PlaneRef2 + (0, 1, 0)) → p
4. Segment(A_{2D}, B_{2D}) → g
5. Integral(IntFun, 0, theta) → Area_{Peel}
6. Text("Area of Peel: " + Area_{Peel}) → text1
7. Integral(IntFun_{Sliced}, π / 2, theta_{cond}) → Area_{SlicedPeel}
8. Segment(A_{2DSliced}, B_{2DSliced}) → j
9. Text("Area of Sliced Peel: " + Area_{SlicedPeel}) → text2
10. Cylinder((0, 0, (-(R / 2))), (0, 0, R / 2), R) → C, C_{2}, C_{3}, C_{4}
11. Segment(A, B + (0, 0, R / 2)) → h