复合半球与圆锥的测量复习

GeoGebra 命令及参数

1. Point(xAxis) → A
2. Point(xAxis) → B
3. Ellipse(A, B, C) → c
4. Intersect(xAxis, yAxis) → D
5. Point(yAxis) → E
6. Vector(D, E) → u
7. Translate(c, u) → c'
8. Intersect(c, xAxis) → F, G
9. Line(E, xAxis) → a
10. Intersect(c', a) → H, I
11. Vector(E, E') → v
12. Translate(c', v) → c''
13. Line(E', xAxis) → e
14. Intersect(c'', e) → J, K
15. Semicircle(J, K) → f
16. Semicircle(J, K) → g
17. Translate(c, u) → c'_1
18. Intersect(c'', yAxis) → L, M
19. Translate(c', v) → c''_1
20. Translate(c', v) → c''_2
21. Vector(E, I) → w
22. Textfield(r) → inputBox1
23. Textfield(h) → inputBox2
24. Textfield(answerTV) → inputBox4
25. Textfield(answerTSA) → inputBox3
26. If(abs(answerTSA - (1 / 2 * 4 * π * r^(2) + π * r * l_s)) / (1 / 2 * 4 * π * r^(2) + π * r * l_s) < 0.0050, true, false) → answerTSAcorrect
27. If(abs(answerTV - 3.14 * r^(2) * (2 / 3 * r + 1 / 3 * h)) / (3.14 * r^(2) * (2 / 3 * r + 1 / 3 * h)) < 0.0050, true, false) → answerTVcorrect
28. Segment(D, H) → b
29. Segment(D, I) → d
30. Polygon(D, I, H) → poly1, h_1, d_1, i
31. Segment(P_{htxtlow}, P_{htxtup}) → k
32. Midpoint(F, H) → O
33. Vector(P_{stxtlow}, P_{stxtup}) → z
34. Vector(P_{stxtup}, P_{stxtlow}) → p
35. Midpoint(h_1) → P
36. Midpoint(I, D) → N