求极坐标曲线所包围的面积

GeoGebra 命令及参数

1. CurveCartesian(((1 + cos(t)) * cos(t)), ((1 + cos(t)) * sin(t)), t, (-π), π) → a
2. CurveCartesian(((1 + cos(t)) * cos(t)), ((1 + cos(t)) * sin(t)), t, 0, π) → c
3. FractionText(d) → text1
4. Rotate(Q, α, O) → Q'
5. Angle(Q, O, Q') → β
6. CircleSector(O, Q, Q') → δA
7. FractionText(deltatheta) → text3
8. Segment(O, Q') → f
9. Intersect(f, a) → B, P, F, G
10. Rotate(P, (-β), O) → P'
11. Angle(P', O, P) → γ
12. CircleSector(O, P', P) → e
13. Midpoint(O, Q) → A
14. Midpoint(O, P) → C
15. Midpoint(P', Q) → D
16. Angle(E, O, Q) → δ
17. Midpoint(A, C) → H
18. CircleSector(O, P', P) → g
19. Integral((1 + cos(x))^(2), theta, theta + deltatheta) → Area
20. Sequence((1 + cos(θ); θ), θ, 0, π, π / n) → l1
21. Ray(O, l1(1)) → m
22. Ray(O, l1(2)) → p
23. Ray(O, l1(3)) → q
24. Ray(O, l1(4)) → r
25. Ray(O, l1(5)) → s
26. Ray(O, l1(6)) → t
27. Ray(O, l1(7)) → f_1
28. Ray(O, l1(8)) → g_1
29. Ray(O, l1(9)) → h_1
30. Ray(O, l1(10)) → i_1
31. Ray(O, l1(11)) → j_1
32. Ray(O, l1(12)) → k_1
33. Ray(O, l1(13)) → l_1
34. Ray(O, l1(14)) → m_1
35. Ray(O, l1(15)) → n_1
36. Ray(O, l1(16)) → p_1
37. Ray(O, l1(17)) → q_1
38. Ray(O, l1(18)) → r_1
39. Ray(O, l1(19)) → s_1
40. Ray(O, l1(20)) → t_1
41. Sequence((1 + cos(θ); θ + π / n), θ, 0, π, π / n) → l2
42. CircleSector(O, l1(1), l2(1)) → Out_1
43. CircleSector(O, l1(2), l2(2)) → Out_2
44. CircleSector(O, l1(3), l2(3)) → Out_3
45. CircleSector(O, l1(4), l2(4)) → Out_4
46. CircleSector(O, l1(5), l2(5)) → Out_5
47. CircleSector(O, l1(6), l2(6)) → Out_6
48. CircleSector(O, l1(7), l2(7)) → Out_7
49. CircleSector(O, l1(8), l2(8)) → Out_8
50. CircleSector(O, l1(9), l2(9)) → Out_9
51. CircleSector(O, l1(10), l2(10)) → Out_{10}
52. CircleSector(O, l1(11), l2(11)) → Out_{11}
53. CircleSector(O, l1(12), l2(12)) → Out_{12}
54. CircleSector(O, l1(13), l2(13)) → Out_{13}
55. CircleSector(O, l1(14), l2(14)) → Out_{14}
56. CircleSector(O, l1(15), l2(15)) → Out_{15}
57. CircleSector(O, l1(16), l2(16)) → Out_{16}
58. CircleSector(O, l1(17), l2(17)) → Out_{17}
59. CircleSector(O, l1(18), l2(18)) → Out_{18}
60. CircleSector(O, l1(19), l2(19)) → Out_{19}
61. CircleSector(O, l1(20), l2(20)) → Out_{20}
62. Sequence((1 + cos(θ + π / n); θ), θ, 0, π, π / n) → l3
63. CircleSector(O, l3(1), l2(1)) → In_1
64. CircleSector(O, l3(2), l2(2)) → In_{2}
65. CircleSector(O, l3(3), l2(3)) → In_4
66. CircleSector(O, l3(4), l2(4)) → In_{3}
67. CircleSector(O, l3(5), l2(5)) → In_5
68. CircleSector(O, l3(6), l2(6)) → In_{6}
69. CircleSector(O, l3(7), l2(7)) → In_7
70. CircleSector(O, l3(8), l2(8)) → In_8
71. CircleSector(O, l3(9), l2(9)) → In_9
72. CircleSector(O, l3(10), l2(10)) → In_{10}
73. CircleSector(O, l3(11), l2(11)) → In_{11}
74. CircleSector(O, l3(12), l2(12)) → In_{12}
75. CircleSector(O, l3(13), l2(13)) → In_{13}
76. CircleSector(O, l3(14), l2(14)) → In_{14}
77. CircleSector(O, l3(15), l2(15)) → In_{15}
78. CircleSector(O, l3(16), l2(16)) → In_{16}
79. CircleSector(O, l3(17), l2(17)) → In_{17}
80. CircleSector(O, l3(18), l2(18)) → In_{18}
81. CircleSector(O, l3(19), l2(19)) → In_{19}
82. CircleSector(O, l3(20), l2(20)) → In_{20}
83. CircleSector(O, l3(1), l2(1)) → Outl_1
84. CircleSector(O, l3(2), l2(2)) → Outl_2
85. CircleSector(O, l3(3), l2(3)) → Outl_1_3
86. CircleSector(O, l3(4), l2(4)) → Outl_4
87. CircleSector(O, l3(5), l2(5)) → Outl_5
88. CircleSector(O, l3(6), l2(6)) → Outl_6
89. CircleSector(O, l3(7), l2(7)) → Outl_7
90. CircleSector(O, l3(8), l2(8)) → Outl_3
91. CircleSector(O, l3(8), l2(8)) → Outl_8
92. CircleSector(O, l3(9), l2(9)) → Outl_9
93. CircleSector(O, l3(10), l2(10)) → Outl_{10}
94. CircleSector(O, l3(11), l2(11)) → Outl_{11}
95. CircleSector(O, l3(12), l2(12)) → Outl_{12}
96. CircleSector(O, l3(13), l2(13)) → Outl_{13}
97. CircleSector(O, l3(14), l2(14)) → Outl_{14}
98. CircleSector(O, l3(15), l2(15)) → Outl_{15}
99. CircleSector(O, l3(16), l2(16)) → Outl_{16}
100. CircleSector(O, l3(17), l2(17)) → Outl_{17}
101. CircleSector(O, l3(18), l2(18)) → Outl_{18}
102. CircleSector(O, l3(19), l2(19)) → Outl_{19}