对称轴可视化：探索图形对称性

GeoGebra 命令及参数

1. Shuffle(Sequence[1, 11]) → randomCases, {6, 2, 10, 4, 1, 3, 11, 8, 5, 7, 9}
2. Element(randomCases, Mod[countQuestion, Length[randomCases]] + 1) → caseNum
3. Vector((10, 0)) → vTranslate
4. Sequence(Rotate[PCenterA + (0, 5), (K * If[caseNum ≟ 2, (2 * pi / 50), pi / 24]), PCenterA], K, 0, If[caseNum ≟ 2, 49, 48]) → rotatePoints
5. Point(rotatePoints) → PRotateA
6. Sequence(Rotate[(0, 4), (K * pi / 3), PCenter], K, 0, 5) → fig11Points
7. Sequence(Rotate[(0, 4), ((K * 2) * pi / 5), PCenter], K, 0, 4) → fig2Points
8. Element(allPoints, caseNum) → currentPoints
9. Polygon(Translate[currentPoints, vTranslate]) → translatedFigure
10. Line(PCenterA, PRotateA) → rotationAxis
11. If(caseNum ≟ 2, (2 * pi / 50), pi / 24) → rotationAngle
12. Shuffle(Sequence[15]) → randomList2, {1, 9, 10, 7, 14, 6, 5, 8, 13, 4, 12, 15, 2, 11, 3}
13. Shuffle(Sequence[20]) → randomList1, {13, 16, 14, 3, 6, 4, 2, 17, 9, 18, 1, 7, 19, 15, 12, 20, 8, 11, 5, 10}
14. Length(found) → countCorrect
15. 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
16. Corner(5) → layoutAppSize
17. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
18. Polygon(currentPoints) → currentFigure
19. Mirror(translatedFigure, rotationAxis) → reflectedFigure
20. Segment(PRotateA, Mirror[PRotateA, PCenterA]) → rotationAxisDisplay
21. CircleSector(PCenterA, PCenterA - Vector[PCenterA, PRotateA], PRotateA) → coverSector
22. Translate(rotationAxisDisplay, Vector[(-vTranslate)]) → baseAxisDisplay
23. Polygon(Translate[currentPoints, vTranslate]) → symmetricFigure
24. circlePixels(PRotateA, 7 + (7 * pulsing), Corner[1], Corner[3], Corner[5]) → pulsingObject
25. Translate(coverSector, Vector[(-vTranslate)]) → foldedRegionBackground