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调和颜料比例

调和颜料比例
几何画板及绘图内容加载中，请稍等……
2016-04-10 11:02
函数解析几何概率统计
所属专题 Primary School Mathematics Collection Mixing Paint Collection
通过混合不同颜色和白色颜料的杯数，观察条形图或圆图来展示选定的比例。本例涉及分数的概念，通过GeoGebra命令如Segment、Conic、Sequence等进行几何作图。适合小学高年级或初中学生学习比例和分数。

GeoGebra 命令及参数

  1. Segment(Can1PtMaster, Can1PtTopL) → Can1segL
  2. Segment(Can1PtBottomR, Can1PtTopR) → Can1segR
  3. Conic(Midpoint[Can1PtTopL, Can1PtTopR] + (0, -0.5), Can1PtTopR + (-0.04, 0), Midpoint[Can1PtTopL, Can1PtTopR] + (canWidth / 3, 0.5), Midpoint[Can1PtTopL, Can1PtTopR] + (((-canWidth)) / 3, 0.5), Can1PtTopL + (0.04, 0)) → can1lidConic
  4. Sequence(i, i, 0, cupsMax) → mix1cupsWhite
  5. Sequence(i, i, 0, cupsMax) → mix1cupsColor
  6. Polygon(Can1PtMaster + (0, -0.006), Can1PtMaster + (canWidth, -0.006), Can1PtMaster + (canWidth, (canHeight * mix1cupsTotal / ((2 * cupsMax))) - 0.1), Can1PtMaster + (0, (canHeight * mix1cupsTotal / ((2 * cupsMax))) - 0.1)) → can1fillRectColor, g, a, b, c
  7. Polygon(Can1PtMaster + (0, -0.013), Can1PtMaster + (canWidth, -0.013), Can1PtMaster + (canWidth, (canHeight * mix1cupsTotal / ((2 * cupsMax)))), Can1PtMaster + (0, (canHeight * mix1cupsTotal / ((2 * cupsMax))))) → can1fillRectWhite, d, e, f, q
  8. Polygon((-10, -2.02734), (99.12, -2.02734), (19.12, 97.97266), (-10, 17.97266)) → BackgroundYellow, l, m, n, p
  9. Polygon(Can1PtMaster + (-0.1, 0.048), Can1PtBottomR + (0.1, 0.048), Can1PtTopR, Can1PtTopL) → can1fillRectYellowBack, h, i, j, k
  10. Conic(Midpoint[Can1PtMaster, Can1PtBottomR] + (0, -0.5), Can1PtBottomR, Midpoint[Can1PtMaster, Can1PtBottomR] + (canWidth / 3, 0.5), Midpoint[Can1PtMaster, Can1PtBottomR] + (((-canWidth)) / 3, 0.5), Can1PtMaster) → can1bottomConic
  11. Polygon(A, B, C, D, E, F, G) → can1brushColorColor, a_1, b_1, c_1, d_1, e_1, f_1, g_1
  12. Polygon(A, B, C, D, E, F, G) → can1brushColorWhite, a_2, b_2, c_2, d_2, e_2, f_2, g_2
  13. Conic(Midpoint[Can1PtMaster, Can1PtBottomR] + (0, -0.45), Can1PtBottomR + (0, 0.1), Midpoint[Can1PtMaster, Can1PtBottomR] + (canWidth / 3, 0.6), Midpoint[Can1PtMaster, Can1PtBottomR] + (((-canWidth)) / 3, 0.6), Can1PtMaster + (0, 0.1)) → can1bottomConicColor
  14. Conic(Midpoint[Can1PtMaster, Can1PtBottomR] + (0, -0.49), Can1PtBottomR + (0, 0.05), Midpoint[Can1PtMaster, Can1PtBottomR] + (canWidth / 3, 0.6), Midpoint[Can1PtMaster, Can1PtBottomR] + (((-canWidth)) / 3, 0.6), Can1PtMaster + (0, 0.05)) → can1bottomConicWhite
  15. Polygon(Mix1visualsMasterPt + (0, tapeDiagramHeight + 0.1), Mix1visualsMasterPt + (If[SelectedElement[mix1cupsColor] ≥ SelectedElement[mix1cupsWhite], tapeDiagRectModelWidth, (SelectedElement[mix1cupsColor] * tapeDiagRectModelWidth / SelectedElement[mix1cupsWhite])], tapeDiagramHeight + 0.1), Mix1visualsMasterPt + (If[SelectedElement[mix1cupsColor] ≥ SelectedElement[mix1cupsWhite], tapeDiagRectModelWidth, (SelectedElement[mix1cupsColor] * tapeDiagRectModelWidth / SelectedElement[mix1cupsWhite])], (2 * tapeDiagramHeight)), Mix1visualsMasterPt + (0, (2 * tapeDiagramHeight))) → mix1tapeDiagColorPoly, mix1tapeDiagGreenPolySeg_1, mix1tapeDiagGreenPolySeg_2, mix1tapeDiagGreenPolySeg_3, mix1tapeDiagGreenPolySeg
  16. Polygon(Mix1visualsMasterPt + (0, 0), Mix1visualsMasterPt + (If[SelectedElement[mix1cupsWhite] ≥ SelectedElement[mix1cupsColor], tapeDiagRectModelWidth, (SelectedElement[mix1cupsWhite] * tapeDiagRectModelWidth / SelectedElement[mix1cupsColor])], 0), Mix1visualsMasterPt + (If[SelectedElement[mix1cupsWhite] ≥ SelectedElement[mix1cupsColor], tapeDiagRectModelWidth, (SelectedElement[mix1cupsWhite] * tapeDiagRectModelWidth / SelectedElement[mix1cupsColor])], tapeDiagramHeight - 0.1), Mix1visualsMasterPt + (0, tapeDiagramHeight - 0.1)) → mix1tapeDiagWhitePoly, mix1tapeDiagWhitePolySeg_1, mix1tapeDiagWhitePolySeg_2, mix1tapeDiagWhitePolySeg_3, mix1tapeDiagWhitePolySeg
  17. Polygon(Mix1visualsMasterPt + (0, rectModelVerticalOffset), Mix1visualsMasterPt + (tapeDiagRectModelWidth, rectModelVerticalOffset), Mix1visualsMasterPt + (tapeDiagRectModelWidth, 3 + rectModelVerticalOffset), Mix1visualsMasterPt + (0, 3 + rectModelVerticalOffset)) → mix1rectAreaOutline, mix1rectAreaOutlineSeg_3, mix1rectAreaOutlineSeg, mix1rectAreaOutlineSeg_1, mix1rectAreaOutlineSeg_2
  18. SelectedIndex(mix1visualType) → mix1visualTypeSelected
  19. Polygon(Mix1visualsMasterPt + (0, rectModelVerticalOffset), Mix1visualsMasterPt + ((SelectedElement[mix1cupsColor] * tapeDiagRectModelWidth / mix1cupsTotal), rectModelVerticalOffset), Mix1visualsMasterPt + ((SelectedElement[mix1cupsColor] * tapeDiagRectModelWidth / mix1cupsTotal), 3 + rectModelVerticalOffset), Mix1visualsMasterPt + (0, 3 + rectModelVerticalOffset)) → mix1rectAreaColorPoly, r, s, t, h_1
  20. Midpoint(Mix1visualsMasterPt, Mix1visualsMasterPt + (tapeDiagRectModelWidth, 3.8)) → Mix1circleModelCenter
  21. Circle(Mix1circleModelCenter, circleModelRadius) → mix1circleModelOutline
  22. Circle(Mix1circleModelCenter, circleModelRadius) → mix1circleModelColorSector
  23. Sequence(Segment[Mix1circleModelCenter, Rotate[Mix1circleModelSectorRefPt, (i * (2 * π / mix1cupsTotal)), Mix1circleModelCenter]], i, 0, mix1cupsTotal - 1, 1) → mix1circleModelDividers
  24. CircleSector(Mix1circleModelCenter, Mix1circleModelSectorRefPt, Rotate[Mix1circleModelSectorRefPt, ((1.99999999999999 * π) * SelectedElement[mix1cupsWhite] / mix1cupsTotal), Mix1circleModelCenter]) → mix1circleModelWhiteSector
  25. Sequence(Segment[Mix1visualsMasterPt + (0 + i, 0), Mix1visualsMasterPt + (0 + i, tapeDiagramHeight - 0.1)], i, 0, If[SelectedElement[mix1cupsWhite] ≥ SelectedElement[mix1cupsColor], tapeDiagRectModelWidth, (SelectedElement[mix1cupsWhite] * tapeDiagRectModelWidth / SelectedElement[mix1cupsColor])], If[SelectedElement[mix1cupsWhite] ≥ SelectedElement[mix1cupsColor], tapeDiagRectModelWidth / SelectedElement[mix1cupsWhite], tapeDiagRectModelWidth / SelectedElement[mix1cupsColor]]) → mix1tapeDiagramWhiteDividers
  26. Sequence(Segment[Mix1visualsMasterPt + (0 + i, tapeDiagramHeight + 0.1), Mix1visualsMasterPt + (0 + i, (2 * tapeDiagramHeight))], i, 0, If[SelectedElement[mix1cupsColor] ≥ SelectedElement[mix1cupsWhite], tapeDiagRectModelWidth, (SelectedElement[mix1cupsColor] * tapeDiagRectModelWidth / SelectedElement[mix1cupsWhite])], If[SelectedElement[mix1cupsColor] ≥ SelectedElement[mix1cupsWhite], tapeDiagRectModelWidth / SelectedElement[mix1cupsColor], tapeDiagRectModelWidth / SelectedElement[mix1cupsWhite]]) → mix1tapeDiagramColorDividers
  27. Sequence(Polygon[Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i, i - cupsMax / 2]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.5, i - cupsMax / 2 + 0.5]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.59, i - cupsMax / 2 + 0.59]), If[i < cupsMax / 2, cupImagesHeight, -0.1]), Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i - 0.09, i - cupsMax / 2 - 0.09]), If[i < cupsMax / 2, cupImagesHeight, -0.1])], i, 0, SelectedElement[mix1cupsColor] - 1, 1) → mix1cupImagesColor
  28. Sequence(Polygon[Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i, i - cupsMax / 2]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.5, i - cupsMax / 2 + 0.5]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.59, i - cupsMax / 2 + 0.59]), If[i < cupsMax / 2, cupImagesHeight, -0.1]), Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i - 0.09, i - cupsMax / 2 - 0.09]), If[i < cupsMax / 2, cupImagesHeight, -0.1])], i, 0, SelectedElement[mix1cupsWhite] - 1, 1) → mix1cupImagesWhiteFill
  29. Sequence(Polygon[Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i, i - cupsMax / 2]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.5, i - cupsMax / 2 + 0.5]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.59, i - cupsMax / 2 + 0.59]), If[i < cupsMax / 2, cupImagesHeight, -0.1]), Mix1cupsWhiteImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i - 0.09, i - cupsMax / 2 - 0.09]), If[i < cupsMax / 2, cupImagesHeight, -0.1])], i, 0, SelectedElement[mix1cupsWhite] - 1, 1) → mix1cupImagesWhiteOutline
  30. Sequence(Polygon[Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i, i - cupsMax / 2]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.5, i - cupsMax / 2 + 0.5]), If[i < cupsMax / 2, 0, (-cupImagesHeight) - 0.1]), Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i + 0.59, i - cupsMax / 2 + 0.59]), If[i < cupsMax / 2, cupImagesHeight, -0.1]), Mix1cupsColorImagesMasterPt + ((cupImagesSpacing * If[i < cupsMax / 2, i - 0.09, i - cupsMax / 2 - 0.09]), If[i < cupsMax / 2, cupImagesHeight, -0.1])], i, 0, SelectedElement[mix1cupsColor] - 1, 1) → mix1cupImagesColorOutline
  31. Sequence(Segment[Mix1visualsMasterPt + (i, rectModelVerticalOffset), Mix1visualsMasterPt + (i, 3 + rectModelVerticalOffset)], i, 0, tapeDiagRectModelWidth, tapeDiagRectModelWidth / mix1cupsTotal) → mix1rectAreaDividers
  32. Conic(Can1PtMaster + (0, -0.1) + (canWidth / 2, (canHeight * mix1cupsTotal / ((2 * cupsMax))) - 0.5), Can1PtMaster + (0, -0.1) + (canWidth - 0.02, (canHeight * mix1cupsTotal / ((2 * cupsMax)))), Can1PtMaster + (0, -0.1) + ((5 / 6 * canWidth), (canHeight * mix1cupsTotal / ((2 * cupsMax))) + 0.5), Can1PtMaster + (0, -0.1) + (canWidth / 6, (canHeight * mix1cupsTotal / ((2 * cupsMax))) + 0.5), Can1PtMaster + (0, -0.1) + (0.02, (canHeight * mix1cupsTotal / ((2 * cupsMax))))) → can1fillTopConicColor
  33. Conic(Can1PtMaster + (0, -0.1) + (canWidth / 2, (canHeight * mix1cupsTotal / ((2 * cupsMax))) - 0.5), Can1PtMaster + (0, -0.1) + (canWidth - 0.02, (canHeight * mix1cupsTotal / ((2 * cupsMax)))), Can1PtMaster + (0, -0.1) + ((5 / 6 * canWidth), (canHeight * mix1cupsTotal / ((2 * cupsMax))) + 0.5), Can1PtMaster + (0, -0.1) + (canWidth / 6, (canHeight * mix1cupsTotal / ((2 * cupsMax))) + 0.5), Can1PtMaster + (0, -0.1) + (0.02, (canHeight * mix1cupsTotal / ((2 * cupsMax))))) → can1fillTopConicWhite
  34. Conic(Can1PtMaster + (0, -0.1) + (canWidth / 2, (canHeight * mix1cupsTotal / ((2 * cupsMax))) - 0.5), Can1PtMaster + (0, -0.1) + (canWidth - 0.02, (canHeight * mix1cupsTotal / ((2 * cupsMax)))), Can1PtMaster + (0, -0.1) + ((5 / 6 * canWidth), (canHeight * mix1cupsTotal / ((2 * cupsMax))) + 0.5), Can1PtMaster + (0, -0.1) + (canWidth / 6, (canHeight * mix1cupsTotal / ((2 * cupsMax))) + 0.5), Can1PtMaster + (0, -0.1) + (0.02, (canHeight * mix1cupsTotal / ((2 * cupsMax))))) → can1fillTopConicWhiteOutline
  35. SelectedIndex(color) → colorSelected
  36. Element({0, 1, 0.6, 1, 0, 0.6}, colorSelected) → red
  37. Element({0.6, 0.2, 0.4, 0.6, 0.6, 0.4}, colorSelected) → green
  38. Element({0, 0.4, 0, 0, 1, 1}, colorSelected) → blue
  39. Polygon(CupButtonPt, CupButtonPt + (0.2, 0), CupButtonPt + (0.3, 0.4), CupButtonPt + (-0.1, 0.4)) → cupButtonOutline, cupButtonOutlineSeg, cupButtonOutlineSeg_1, cupButtonOutlineSeg_2, cupButtonOutlineSeg_3

AI 绘图提示语参考

画一个混合颜料比例的图形，包含一个大圆筒形容器，里面混合了不同颜色和白色颜料。容器底部和顶部有不同颜色的扇形区域，表示不同比例的颜料混合。容器侧面有条形图，显示不同颜色和白色颜料的杯数。条形图下方有圆环图，表示颜色和白色颜料的比例。
以上提示语为根据原始绘图命令整理而来，仅供参考。