平行线与横截线形成的对顶角

平行线与横截线形成的对顶角
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2023-08-26 02:23
本范例演示了平行线与横截线形成的对顶角及其等性。通过构造平行线、横截线和对顶角,学生可以理解对顶角的性质。使用了Polygon, Segment, Point, Circle, Sequence, Line, Angle等GeoGebra命令。适合初中6-8年级学生学习对顶角和补角的关系。

GeoGebra 命令及参数

  1. Polygon({(-2.5, -2.5), (-2.5, 2.2), (2.5, 2.2), (2.5, -2.5)}) → graphArea
  2. Segment(intersectP1(1) + (0.9, 0), intersectP1(2) - (0.9, 0)) → segP1Range
  3. Point(segP1Range) → InputPoint1
  4. Circle(InputPoint1, 0.7) → polyCircle1
  5. Polygon({InputPoint1 + (0.8, 0.8), InputPoint1 + (0.8, -0.8), InputPoint1 + (-0.8, -0.8), InputPoint1 + (-0.8, 0.8)}) → polySquare1
  6. Segment(intersectP1(1), intersectP1(2)) → segmentP1
  7. Polygon({intersectP1(1) + (0, 0.1), intersectP1(1) - (0, 0.1), intersectP1(2) - (0, 0.1), intersectP1(2) + (0, 0.1)}) → streetP1
  8. Sequence(RandomPointIn[graphArea], n, 1, 200) → RandomStarts, {(-2.0777212029731533, 0.3921524404082235), (-2.262914706114294, 0.34518284314786474), (0.6255849150513857, -2.387427150161613), (-0.5529880552264306, 0.6390525647021743), (-1.3109594884122966, 1.5478715779083556), (-2.0256149240855743, 2.101543364516256), (-0.8919306296911174, 0.9850147070591571), (-0.19315304616703521, -1.6154751275900172), (1.7636845688853136, 1.425339922965044), (0.4365705971497964, 2.1549186126820503), (2.432677136790508, 2.138993597081373), (2.1847320834876003, -1.2883983703684663), (-2.2869076928108663, 0.70726451283852), (-1.8606548331022832, 0.28623882014717283), (-0.40169900667560876, 0.8598924683469744), (-2.30388689209645, -1.1383650127615317), (1.4222307749352883, 0.7041745002071416), (0.7593338414697599, -2.008120196837663), (2.2938285763351223, -1.3706877611818882), (-1.8664693885680927, 0.7061195057680445), (-1.0594140176584799, -0.6470576038025408), (0.016358838713639745, 2.0222218736147983), (2.0889654615857687, 1.9571594281139904), (-2.2105226417282173, -0.6120912242000591), (-0.8761779041203095, 0.6385903410625042), (1.4964500767271298, -0.6948848078069252), (0.7894268587580693, 0.3711981520196641), (1.495382015075709, 1.078393157945234), (2.121450038952121, 0.1514904440191347), (-2.2211282843184126, -2.139890599394945), (1.632277628987156, -0.13632331478287707), (-0.6350011146089451, 0.5439977846343558), (-1.9887154896038166, -0.032930838274887186), (-1.0195539526574642, -0.8156909700214445), (0.2472023657503315, 1.0696367145341288), (-0.019513537298684547, 0.790359142974228), (0.13147262339312427, -0.8898755582528015), (-1.919543979004596, -0.9342876518678658), (0.5594873726417182, 0.6265157336852467), (0.009454125684770887, -1.5724584830571504), (-1.0891255197428729, 1.0408654954477323), (-0.3605922868890401, 2.1548944074729093), (2.060495198098117, 1.3396512270664567), (-0.5087395842462743, 0.574651012890139), (-1.7514233122406826, 0.8747840316941842), (1.7749339176998307, -0.7991077986667241), (1.1214127782969303, -0.8467032215817702), (-1.7191576677494762, -0.7027928490426638), (-2.256679046145034, 0.8234669208723333), (-2.4918803195970867, -1.9678474845853482), (0.27605507763729786, 0.7017585067943597), (0.3883580050293767, -0.054368257605681425), (0.3236275411227991, 0.11845922566073686), (-2.156467891892944, -1.5615986023357422), (0.6485049427491516, -0.5097377191890109), (-0.7970767398656236, -1.1617861902333775), (1.0793973196594964, 0.8552876731003343), (0.1962345693276597, -0.3157051822610635), (-1.0486289778115443, -0.2698402715818986), (-2.1612756734559726, -0.3930899050571237), (-0.6542295561481586, 1.8697522087608913), (2.0290672818714492, -1.039291155919366), (1.730443983475582, -0.5719157714597702), (0.09178597034686709, -1.1006587924895899), (2.340025656539929, 0.9335976335132079), (0.813475110826225, 1.3545308357326182), (0.7815332894170317, 0.603664376562715), (-1.2543204977602103, 0.2053413827119468), (-0.09769985510804613, -1.4683275615571447), (-2.32283620892012, 1.9928088913714737), (-0.08473407979255132, -1.8145940650783763), (-0.785551806172804, -1.748577152970182), (1.1409112320420562, -2.342314737383417), (-1.6481335222503195, 0.8921197570279786), (-0.5043737887388311, -0.9906499240667788), (-2.238965563146118, -0.21848720447165793), (0.03306165420399765, -0.05933212485867578), (1.2845012054247391, -0.5809847285920617), (1.4280215832844405, 1.3201186829969962), (-0.2205121427695822, 2.0173232437084962), (-1.7182907024697869, -0.4107450688617047), (-0.974999622708272, -1.0575941655826313), (-1.477348118325656, -2.0510446072486346), (-0.12076288389089296, 1.6667128435351204), (-0.020617712387756004, 1.3158885276288967), (0.2540943924157695, -0.06626024781740592), (-1.5910339040728505, 1.7183716385537133), (1.7597052431686215, 0.4233999108766415), (-1.120277943221462, 0.27805833422084714), (1.064329898947209, 0.9458396405347744), (-1.573013923959794, -1.2019921163737721), (2.1135508990892804, -2.4236141409292533), (0.32753397823400743, -0.45131422017826495), (0.3576041482268555, -1.9237460651583387), (-0.8287202127556959, 0.11131765840594054), (-0.9531835817945522, -0.8775505585589476), (1.1481277824154135, 0.8027612843642347), (0.47249649635393975, 0.7959824120037271), (0.6133642043383336, 0.1676863763445935), (1.7542635754538, -1.2499303682132434), (2.046728797470177, -0.9176543569001481), (0.404679086982918, 1.299436819039868), (0.9783202006986675, 1.6695918773599034), (-0.5618213635909031, 0.03813793086535), (-1.6812590746189249, -0.4229568832814419), (0.2336869050966044, 0.20649484874298674), (-0.1986005040178016, -2.4805824824012093), (-1.2910718811860593, -0.012181406772778125), (0.921643624990232, 0.33205645940794604), (1.6193291982688587, -0.07749392942809807), (-2.159593945151647, 0.42552626047647335), (-0.044454181434217865, 0.8809161266953529), (1.2093028821222784, -1.2290671961992932), (0.4810228649462345, 0.33711138394412954), (-2.230367738510666, -0.017793517401173187), (-0.5753661675807398, 1.1331106949303793), (-1.1205221952392557, 1.195110669941779), (-0.7766699329678399, -0.18226676359543514), (0.831131554488755, 0.8730970040532116), (-0.004143620519301727, 1.5854185692573228), (-1.0646949786011628, 1.4973768421353317), (2.1209804800385124, 0.9285972983913791), (0.8691094486727549, 0.922702441870201), (-0.10768976591298385, -0.9477607943270634), (-0.28845937937939103, -0.09865840510123913), (-1.2733408657634309, -2.01885565716349), (-1.5767876439533302, -0.8043926583799188), (-0.1859485710373332, 1.2193471787595498), (0.2663421453097996, 2.114044058426261), (1.4148423834876684, -0.10330834436937053), (-1.1935027126786613, -1.382001669993073), (0.23306029036040954, -0.5398117277279935), (1.6893710128417085, 1.5537939286367912), (-0.5750378271254037, 2.037204090881393), (-0.6561371480494926, 1.6711045293283098), (1.837925022873069, 1.8138396039568239), (-1.8730025351265578, 0.19036260786495607), (-1.982820087531768, 0.4350332915870925), (2.196723036308569, -1.1188352587088872), (-1.6334733865727453, -0.7570069506475716), (-0.42461169367080176, -2.190371034244518), (-2.395947971751482, 2.0274848744949505), (0.44970466221786287, -1.994469024285317), (2.3150049368700625, -2.0346788232072335), (-0.25774072357440714, -1.8102070184915404), (-1.0286328808431067, -0.22292751503878705), (1.3851499682018478, 1.9895183373741254), (0.26128797584295915, -1.973415286760964), (-1.4719261612972794, 1.9512639627983717), (1.95143787163342, 0.23331960613185254), (2.1212062960075624, 0.043609690929909295), (0.7914653412054835, 1.5588422589241686), (-0.07253203952111642, -0.6826656736382988), (1.1621262077525385, -0.4330342478913307), (-0.9607177986417703, -0.23437505789202717), (-0.7327129256196141, -0.9578807255757189), (2.4016842705694916, 0.6977465810548158), (-1.325113803331905, -2.0175602846762177), (-1.3233460541167352, -2.1925353492675623), (-0.07693015079458698, 0.5628987740104288), (0.02279497942355846, -1.51773441607348), (-0.2748966082539219, -2.1105439574431855), (-0.9899990186186121, -0.7389635519163014), (2.0302901018001496, 1.6377905037707734), (-1.0595040553100743, -0.9936375155135364), (-1.1719872238371694, -1.8104031154481666), (1.3056538245705647, -0.28702522040822), (-1.8818528626443127, -0.054261447902239635), (-0.02774713175854382, 1.6261213421642005), (-0.08652277965026656, -1.7912634507466003), (-1.037666582231798, 0.192762270249069), (-1.5116231028044584, 1.8871284782110669), (-0.6324194451938869, 0.4144783689306961), (0.34290591460020403, -2.2188307422144575), (1.0221657834372664, -0.4861371514427124), (-2.487403433457962, 1.3631504395557452), (1.0472365535093013, 0.5659011752510192), (-0.07840319636452442, -0.03370057079646083), (-0.7242492672343754, -1.017524408270314), (-1.5495369467305053, -1.0562191605267819), (-0.131888434660401, 0.4716190568895984), (2.269781033581796, 0.5537525769190381), (-0.8629324206025102, -0.7764812373735441), (-0.2230745191744936, -0.8322609889977204), (1.7145956654151684, -0.29748616318176513), (2.165652953867757, 1.3877686290871583), (0.7139988164055673, -1.751546333518805), (2.2568526766919934, 0.09278009251632913), (2.4672034308681408, 0.31177862288674385), (-1.2763335960436866, 1.1167346703064918), (-2.2497486078855826, 1.0645569924886615), (2.2553180719944166, -0.210316832651805), (-0.8507614494067188, -1.7555435182348558), (0.5213783314757228, -1.9512827289126), (-1.63553999261641, 0.6002522137903283), (-1.9781777141743522, -1.351706312972678), (-2.197720370679186, 0.4159662847640879), (0.03812035990522755, -1.3311447806280268), (-2.2377496809253765, -1.0038919544088696), (1.9367350275819453, 1.0389793553338644)}
  9. Segment(intersectP2(1) + (0.9, 0), intersectP2(2) - (0.9, 0)) → segP2Range
  10. Point(segP2Range) → InputPoint2
  11. Line(InputPoint1, InputPoint2) → lineT
  12. Segment(InputPoint1, InputPoint2) → segmentT
  13. Angle(segmentT, segmentP1) → tpAngle
  14. If(y(Element[intersectT, 2]) > -2.5, (0, distT2), (distT, 0)) → PointDistBottom
  15. If(y(Element[intersectT, 1]) < 2.2, (0, distT2), (distT, 0)) → PointDistTop
  16. Polygon({intersectT(1) + PointDistTop, intersectT(1) - PointDistTop, intersectT(2) - PointDistBottom, intersectT(2) + PointDistBottom}) → streetTransversal
  17. Polygon({InputPoint2 + (0.8, 0.8), InputPoint2 + (0.8, -0.8), InputPoint2 + (-0.8, -0.8), InputPoint2 + (-0.8, 0.8)}) → polySquare2
  18. Polygon({intersectP2(1) + (0, 0.1), intersectP2(1) - (0, 0.1), intersectP2(2) - (0, 0.1), intersectP2(2) + (0, 0.1)}) → streetP2
  19. KeepIf(Distance[n, polySquare1] > 44 / 90 ∧ Distance[n, polySquare2] > 44 / 90 ∧ Distance[n, streetTransversal] > 44 / 90 ∧ Distance[n, streetP1] > 44 / 90 ∧ Distance[n, streetP2] > 44 / 90 ∧ Distance[n, x = -2.5] > 4 / 9 ∧ Distance[n, x = 2.5] > 4 / 9 ∧ Distance[n, y = -2.5] > 4 / 9 ∧ Distance[n, y = 2.2] > 4 / 9, n, RandomStarts) → PointsInRangeB
  20. KeepIf(Distance[n, polyCircle1] > 44 / 90 ∧ Distance[n, polySquare2] > 44 / 90 ∧ Distance[n, streetTransversal] > 44 / 90 ∧ Distance[n, streetP1] > 44 / 90 ∧ Distance[n, streetP2] > 44 / 90 ∧ Distance[n, x = -2.5] > 4 / 9 ∧ Distance[n, x = 2.5] > 4 / 9 ∧ Distance[n, y = -2.5] > 4 / 9 ∧ Distance[n, y = 2.2] > 4 / 9, n, RandomStarts) → PointsInRangeA
  21. Flatten(Sequence[{-1, 0, 1}, n, 1, 33]) → randomList1
  22. Element(randomList1, Mod[countQuestion, 100] + 1) → randomNum1
  23. Circle(InputPoint2, 0.7) → polyCircle2
  24. If(Angle[dist1P, dist4P] > 180°, 360° - Angle[dist1P, dist4P], Angle[dist1P, dist4P]) → α
  25. If(randomNum1 ≟ 0, PointsInRangeB, PointsInRangeA) → PointsInRange
  26. KeepIf(x(n) < 0 ∧ -1 < y(n) < 1, n, PointsInRange) → PointsLeft90
  27. KeepIf(lineP2(n) < y(n) < lineP1(n) ∧ y(n) > lineT(n), n, PointsInRange) → PointsLeft
  28. Element(PointsLeft90, Mod[countQuestion, Length[PointsLeft90]] + 1) → PointLeftR
  29. Element(PointsLeft, Mod[countQuestion, Length[PointsLeft]] + 1) → PointLeftA
  30. KeepIf(x(n) > 0 ∧ -1 < y(n) < 1, n, PointsInRange) → PointsRight90
  31. Element(PointsRight90, Mod[countQuestion, Length[PointsRight90]] + 1) → PointRightR
  32. KeepIf(lineP2(n) < y(n) < lineP1(n) ∧ y(n) < lineT(n), n, PointsInRange) → PointsRight
  33. Element(PointsRight, Mod[countQuestion, Length[PointsRight]] + 1) → PointRightA
  34. Circle(InputPoint1, 0.8) → arcCircle1
  35. Polygon({InputPoint1, ints2(1), (x(ints1(1)), y(ints2(1))), ints1(1)}) → square4
  36. Polygon({InputPoint1, ints1(2), (x(ints1(2)), y(ints2(1))), ints2(1)}) → square3
  37. Polygon({InputPoint1, ints2(2), (x(ints1(2)), y(ints2(2))), ints1(2)}) → square2
  38. Polygon({InputPoint1, ints1(1), (x(ints1(1)), y(ints2(2))), ints2(2)}) → square1
  39. Circle(InputPoint2, 0.8) → arcCircle2
  40. Polygon({InputPoint2, ints4(1), (x(ints3(1)), y(ints4(1))), ints3(1)}) → square4a
  41. Polygon({InputPoint2, ints3(2), (x(ints3(2)), y(ints4(1))), ints4(1)}) → square3a
  42. Polygon({InputPoint2, ints4(2), (x(ints3(2)), y(ints4(2))), ints3(2)}) → square2a
  43. Polygon({InputPoint2, ints3(1), (x(ints3(1)), y(ints4(2))), ints4(2)}) → square1a
  44. Element({square1, square2, square3, square4, square1a, square2a, square3a, square4a}, clickNum) → squareChoice
  45. If(clickNum ≤ 4, polyCircle1, polyCircle2) → circleDrag
  46. Point(circleDrag) → DragPointNew
  47. Angle(DragPointNew, centerP, PolyA) → angleMoved
  48. If(clickNum ≤ 4, arcCircle1, arcCircle2) → arcCircle
  49. Zip({m, n, p}, n, arc1IntsP, m, arcInputs, p, arc2IntsP) → polyPointsP
  50. Vector(centerP, DragPointNew) → dist1PN
  51. Rotate(dist1PN, α / 3) → dist6PN
  52. Rotate(dist1PN, α) → dist4PN
  53. Rotate(dist1PN, (2 * α / 3)) → dist2PN
  54. Segment(intersectP2(1), intersectP2(2)) → segmentP2
  55. CircleSector(InputPoint1, ints1(1), ints2(2)) → arc1
  56. CircleSector(InputPoint1, ints2(2), ints1(2)) → arc2
  57. If(arc1 > arc2, If[x(InputPoint1) > x(InputPoint2), 1, 2], x(InputPoint1) > x(InputPoint2), 3, 4) → case
  58. If(clickNum ≟ 9 ∧ case ≟ 1 ∨ clickNum ≟ 3 ∨ clickNum ≟ 4, -1 - 0.5, clickNum ≟ 9 ∧ case ≟ 2 ∨ clickNum ≟ 7 ∨ clickNum ≟ 8, 1 - 0.5, clickNum ≟ 9 ∧ case ≟ 3 ∨ clickNum ≟ 1 ∨ clickNum ≟ 2, -1 + 0.5, 1 + 0.5) → yPixelPoint1
  59. Point(segmentT) → DragPoint
  60. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
  61. Corner(5) → layoutAppSize
  62. CircleSector(InputPoint1, ints1(2), ints2(1)) → arc3
  63. CircleSector(InputPoint1, ints2(1), ints1(1)) → arc4
  64. CircleSector(InputPoint2, ints3(1), ints4(2)) → arc1a
  65. CircleSector(InputPoint2, ints4(2), ints3(2)) → arc2a
  66. CircleSector(InputPoint2, ints3(2), ints4(1)) → arc3a
  67. CircleSector(InputPoint2, ints4(1), ints3(1)) → arc4a
  68. Sequence(clickNum ≟ n, n, 1, 8) → active
  69. Zip({m, n, p}, n, arc1Ints, m, arcInputs, p, arc2Ints) → polyPoints
  70. Shuffle(Sequence[Random[1, 2], n, 1, 100]) → randomOrders, {2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2}
  71. Shuffle(Sequence[Random[-50, -175] / 100, n, 1, 100]) → randomList2, {-1.57, -1, -0.59, -1.34, -1.25, -1.73, -1.27, -0.58, -1.16, -1.67, -1.56, -1.58, -1.13, -1.39, -0.64, -0.94, -1.65, -0.86, -0.62, -1.44, -1.08, -0.88, -1.27, -1.09, -0.88, -1.43, -1.68, -1.38, -0.91, -1.35, -1.23, -0.95, -1.6, -0.53, -1.3, -0.9, -0.62, -0.87, -0.7, -1.23, -1.34, -1.58, -0.54, -0.64, -1.54, -1.4, -1.1, -0.85, -0.83, -1.04, -0.84, -0.51, -1.57, -0.57, -1.34, -0.54, -1.74, -0.65, -1.62, -1.51, -1.18, -1.08, -1.53, -0.52, -1.48, -1.14, -1.38, -0.76, -0.85, -0.62, -0.68, -1.46, -1.04, -0.54, -1.46, -0.56, -1.51, -0.94, -1.11, -1.47, -0.82, -0.88, -0.75, -1.46, -0.51, -1.13, -0.89, -0.95, -1.16, -1.41, -1.45, -0.96, -1.36, -0.76, -0.79, -1.58, -1.58, -1.07, -1.72, -1.31}
  72. Element(randomOrders, Mod[countQuestion, 100] + 1) → randomOrder
  73. Rotate(squareChoice, (-angleMoved), centerP) → staticDragSquare
  74. If(centerP ≟ InputPoint1, InputPoint2, InputPoint1) → endPoint
  75. If(Mod[clickNum, 4] > 1, 0.25, -0.25) → direction
  76. PointToPixels(Corner[1], Corner[3], Corner[5], PixelPoint) → RightPixelCoords
  77. Rotate(dist1P, α / 3) → dist2P
  78. Rotate(dist1P, (2 * α / 3)) → dist3P
  79. Polygon(DragPointNew - dist1PN, DragPointNew, DragPointNew - dist7PN, DragPointNew - dist3PN, DragPointNew - dist5PN) → dragPoly, f, g, h, i, j
  80. KeepIf(y(n) > lineP1(n), n, PointsInRange) → PointsTop
  81. KeepIf(y(n) < lineP2(n), n, PointsInRange) → PointsBottom
  82. Element(PointsTop, Mod[countQuestion, Length[PointsTop]] + 1) → PointTop
  83. If(α ≟ 90°, PointRightR, PointRightA) → PointRight
  84. If(α ≟ 90°, PointLeftR, PointLeftA) → PointLeft
  85. Element(PointsBottom, Mod[countQuestion, Length[PointsBottom]] + 1) → PointBottom
  86. Zip(Vector[PointTreeMiddle, n], n, {PointBottom, PointLeft, PointRight, PointTop}) → vectorTreePics
  87. Zip(Translate[treePicBase, Vector[n]], Vector[n], vectorTreePics) → trees
  88. Rotate(DragStartNew, 180° - α, centerP) → EndPoint
  89. If(case ≟ 1, 3, case ≟ 2, 7, case ≟ 3, 2, 6) → caseChoice
  90. If(case ≟ 1 ∨ case ≟ 2, If[clickNum ≠ 3 ∧ clickNum ≠ 1, 3, 7], clickNum ≠ 2 ∧ clickNum ≠ 4, 2, 6) → caseEnd
  91. sectorPixels(sectorUse(1), sectorUse(2), sectorUse(3), basePixels + haloPixels, Corner[1], Corner[3], Corner[5]) → pulsingObject1
  92. Rotate(ArcA, (-angleMoved), centerP) → DragPointNew'
  93. CircleSector(centerP, DragPointNew', Rotate[DragPointNew', α, centerP]) → staticDragArc
  94. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  95. Segment(intersectT(1) - PointDistTop, intersectT(2) - PointDistBottom) → lineTransT
  96. Segment(intersectT(1) + PointDistTop, intersectT(2) + PointDistBottom) → lineTransB
  97. Segment(intersectP1(1) + (0, 0.1), intersectP1(2) + (0, 0.1)) → lineTopT
  98. Segment(intersectP1(1) - (0, 0.1), intersectP1(2) - (0, 0.1)) → lineTopB
  99. Segment(intersectP2(1) + (0, 0.1), intersectP2(2) + (0, 0.1)) → lineBottomT
  100. Segment(intersectP2(1) - (0, 0.1), intersectP2(2) - (0, 0.1)) → lineBottomB
  101. CircleSector(arcCover1(1), arcCover1(3), arcCover1(2)) → arcCoverA
  102. CircleSector(arcCover2(1), arcCover2(3), arcCover2(2)) → arcCoverB
  103. Rotate(arcCoverA, (-angleMoved), centerP) → arcCoverA'
  104. Rotate(arcCoverB, (-angleMoved), centerP) → arcCoverB'
  105. Polygon({centerP, innerCenterInts(clickNum), arcCover1(3), arcCover1(2)}) → polyCover1
  106. Polygon({innerCenterInts(clickNum), centerP, arcCover2(3), arcCover2(2)}) → polyCover2
  107. Rotate(polyCover1, (-angleMoved), centerP) → polyCover1'
  108. Rotate(polyCover2, (-angleMoved), centerP) → polyCover2'
  109. Circle(centerP, innerCenterInts(clickNum)) → innerCircle
  110. Point(circleDrag) → PtDropped
  111. Circle(centerP, If[α ≟ 90°, 1.3, 0.95]) → circleArrow
  112. Intersect(circleArrow, Ray[centerP, CenterCircle]) → arrowCenter,
  113. Rotate(arrowCenter, -10°, centerP) → arrowPoint1
  114. Rotate(arrowCenter, 10°, centerP) → arrowPoint2
  115. CircleArc(centerP, arrowPoint1, arrowPoint2) → arrowArc
  116. Segment(arrowCenter, arrowPoint2) → arrowSeg
  117. Rotate(dist1PN, pi / 2) → dist1PN'
  118. Polygon(DragPointNew, DragPointNew - dist1PN, DragPointNew - (dist1PN - dist1PN'), DragPointNew + dist1PN') → dragSquare, dragpointnew, k, l, m

AI 绘图提示语参考

画一个矩形,再画两条平行线和一个横穿它们的直线,形成八个角。用不同颜色标出相对的角,展示它们是相等的。在矩形内随机放置一些点,并确保它们不靠近边缘和线。最后,选择其中一个角,画出它的弧形,并允许拖动这个角来改变弧形的大小。
以上提示语为根据原始绘图命令整理而来,仅供参考。