整数除以单位分数
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本范例通过文字问题演示整数除以单位分数的过程。使用互动带图展示剂量分配。涉及的核心数学概念包括单位分数除法和模型表示。使用了RandomUniform, Take, If, horizontalTwoPointBox, Polygon, Sequence, Max, Zip, Translate等GeoGebra命令。适合4-5年级学生学习。
GeoGebra 命令及参数
RandomUniform(0, 0.99, 200) → allRandomSeeds, {0.404434064364878, 0.7074783423036891, 0.20659298611569837, 0.29641726152970166, 0.7635153303237063, 0.6603622451728896, 0.8410126497716351, 0.7361283297624616, 0.5645705847558457, 0.6127476478320208, 0.6847578192574096, 0.6103426467473662, 0.5744669037686289, 0.52004581567831, 0.42715807881867746, 0.06095315263403522, 0.8563416531192155, 0.6367641073968269, 0.8812017105237526, 0.2531695266767602, 0.3718368629120609, 0.21398667250657336, 0.6677191557848798, 0.8473900046101438, 0.3671393455147008, 0.8498190813909539, 0.23845039806422152, 0.20683327808269497, 0.2805196996836818, 0.41348501992795816, 0.981972917363895, 0.01895808986239731, 0.1434273513179233, 0.9571129459291268, 0.1031763065004214, 0.7381405124049285, 0.5737526974316941, 0.10228753822774184, 0.7508653656616645, 0.7212104682100837, 0.6686067897145199, 0.9111652549815864, 0.3191581312213889, 0.9262668677551114, 0.7448972989280344, 0.8443660046686322, 0.8166164131382618, 0.25869703225970947, 0.1590942777710448, 0.09995174130204353, 0.7425055467160181, 0.5065190048397993, 0.7528823464947662, 0.47959057173880404, 0.7722264714421336, 0.5600468230210295, 0.6588858725031697, 0.3894792587472512, 0.6137973598660301, 0.7084463349950068, 0.1603318743786034, 0.9547589841526553, 0.444283242938596, 0.8480059221322409, 0.45037986395513624, 0.7270094477262353, 0.8492814770674209, 0.02388894159123632, 0.04090152389060475, 0.7949425329384945, 0.3599669971316337, 0.7487666019333677, 0.056732447395074895, 0.958642307513311, 0.700785338027191, 0.8880471123533391, 0.8998466966264, 0.38760974041335733, 0.19665316369562771, 0.7424239493922833, 0.8485193622812679, 0.09247016949600922, 0.2814848826842221, 0.9341587742044192, 0.9893459778305305, 0.9794887145245853, 0.4000100596233462, 0.9638955344812767, 0.2649768548811634, 0.2260135870154037, 0.9021810212723255, 0.1498707128708483, 0.6376031296221318, 0.31362902621294303, 0.5239908403694415, 0.6011405381626325, 0.7775956644124272, 0.8741495694852921, 0.3602314600681546, 0.07088930089984705, 0.6382514000517117, 0.9516241294137316, 0.9636176178890615, 0.38501372617925517, 0.47134142646821225, 0.36124335927650403, 0.3707868012094838, 0.10499691874576299, 0.8140832485522326, 0.05345530274394262, 0.1489564887753005, 0.022590750193484523, 0.6862746256381732, 0.39869474701054974, 0.017479086297762944, 0.2870199032176255, 0.1666291378652776, 0.9149179038335942, 0.3061817030620171, 0.4933002583591047, 0.079844059045166, 0.3166095705432711, 0.8272112374777358, 0.21283406779868685, 0.27060870691167876, 0.6800910112382658, 0.48912757675032104, 0.5846991124678218, 0.15762665504224319, 0.3358076219410292, 0.8111959566399983, 0.9779933267114599, 0.9497779230548636, 0.9638112965234964, 0.3822264892663801, 0.06222627489203824, 0.04778764567025713, 0.8438778806448568, 0.6018925290632083, 0.3640680794531738, 0.288195358576579, 0.2566121498255388, 0.013231428763426941, 0.3347718173627662, 0.12203407726610392, 0.7264916849109011, 0.5129896864577096, 0.4732786442646879, 0.38843149223231294, 0.49208896786380735, 0.5616214928602903, 0.6553964008983427, 0.6533354439157528, 0.03268522441529858, 0.2670833224027971, 0.7295098588043244, 0.7357438930391574, 0.014151428555494462, 0.8060888446097051, 0.024037568281664833, 0.7581845535353615, 0.6203221062572281, 0.5131973110283585, 0.891293014242562, 0.8747422387959577, 0.8691239341224585, 0.8320054649040513, 0.35653875160721593, 0.148672389146402, 0.6554466617690275, 0.5537959490183524, 0.35984087962138617, 0.6925663584118555, 0.18515483293469084, 0.11726838551364782, 0.7918366503206484, 0.5271502152735157, 0.8667395061028268, 0.80843630866723, 0.1127215770101228, 0.710100653081012, 0.9888957126215856, 0.1324213677854344, 0.9766432879563065, 0.7337523306033581, 0.1137857450878116, 0.9687090589471378, 0.9712576322593123, 0.08024866808952977, 0.8369114410799929, 0.0584520283683865, 0.7244584841322758, 0.7945530635086682, 0.6453669946520583, 0.8866163742403704, 0.07723591025192675, 0.13979079411254328, 0.04678200449981173, 0.21316231060882182, 0.5232485705634833}Take(allRandomSeeds, randIndex, randIndex + numRandoms - 1) → currentRandomSeedsIf(slide2 ≤ 2, 0, Denominator[fracOptions(slide2)]) → studentDosesPerOzIf((2 * countQuestion) + 9 < 45, (2 * countQuestion) + 1, 1) → startIndexhorizontalTwoPointBox(AnchorStep2, AnchorStep2 + ((widthOz * fracOptions(slide2)), height)) → doseBoxPolygon({(-10, -1), (-10, 5.5), (55, 5.5), (55, -1)}) → viewboxhorizontalTwoPointBox(AnchorStep1, AnchorStep1 + ((slide1 * widthOz), height)) → step1BarhorizontalTwoPointBox(AnchorStep2, AnchorStep2 + (widthOz, height)) → step2BarSequence(Segment[AnchorStep1 + ((widthOz * A), 0), AnchorStep1 + ((widthOz * A), height)], A, 1, slide1) → divisionLines1Sequence(Segment[AnchorStep2 + ((A * widthOz / studentDosesPerOz), 0), AnchorStep2 + ((widthOz / studentDosesPerOz * A), height)], A, 1, studentDosesPerOz) → divisionLines2Sequence(If[slide3 < A - 1, 0, If[slide3 ≤ A, slide3 - (A - 1), 1]], A, 1, maxSlide3) → animateTimersSequence(Vector[AnchorStep2, AnchorStep1 + (A, 0)], A, 0, slide1) → animateFrameVectorsMax(0, floor(slide3) - slide1) → totalCountedSequence(Vector[AnchorStep2, AnchorStep1 + ((A * widthOz / studentDosesPerOz), 0)], A, 0, studentTotalDoses - 1) → animateDosesVectorsZip(Translate[step2Bar, Vector[(A * B)]], A, Take[animateTimers, 1, slide1], Vector[B], animateFrameVectors) → moveBoxesZip(Translate[divisionLines2, Vector[(A * B)]], A, Take[animateTimers, 1, slide1], Vector[B], animateFrameVectors) → moveDividersZip(Translate[doseBox, Vector[(A * B)]], A, Take[animateTimers, slide1 + 1], Vector[B], animateDosesVectors) → moveDosesZip(Translate[step2Bar, Vector[B]], Vector[B], Take[animateFrameVectors, 1, slide1]) → step1FramesTranslate(doseBox, Vector[(animateTimers(totalCounted + 1 + slide1) * animateDosesVectors(totalCounted + 1))]) → moveCurrentDose
AI 绘图提示语参考
这是一个分段图示,用于展示将整数值除以单位分数的过程。图形包含一个矩形视图框,两个水平条和一个doseBox,以及一些垂直线段。构造顺序为:先绘制视图框,然后绘制水平条,最后绘制垂直线段。图形中的元素通过坐标和比例关系连接,表示剂量分配的示意图。
以上提示语为根据原始绘图命令整理而来,仅供参考。