概率统计教学范例：Laplace概率与作图方法

GeoGebra 命令及参数

1. Shuffle(1…numberOfQuestions) → randomQuestions, {7, 2, 3, 1, 6, 4, 8, 5}
2. Element(randomQuestions, Mod[questionCount, Length[randomQuestions]] + 1) → randomQuestion
3. Element(randomQuestions, questionCount) → actualQuestion
4. Textfield(input) → inputBox
5. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
6. Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
7. Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte, {{(-0.06000000000000006, 11.279999999999994), (0.9425062656641607, 11.279999999999994), (1.9450125313283215, 11.279999999999994), (2.9475187969924828, 11.279999999999994), (3.950025062656643, 11.279999999999994), (4.952531328320804, 11.279999999999994), (5.955037593984965, 11.279999999999994), (6.9575438596491255, 11.279999999999994), (7.960050125313286, 11.279999999999994), (8.962556390977447, 11.279999999999994), (9.965062656641608, 11.279999999999994), (10.96756892230577, 11.279999999999994), (11.97007518796993, 11.279999999999994), (12.97258145363409, 11.279999999999994), (13.975087719298251, 11.279999999999994), (14.977593984962413, 11.279999999999994), (15.980100250626572, 11.279999999999994)}, {(-0.06000000000000006, 10.276655518394644), (0.9425062656641607, 10.276655518394644), (1.9450125313283215, 10.276655518394644), (2.9475187969924828, 10.276655518394644), (3.950025062656643, 10.276655518394644), (4.952531328320804, 10.276655518394644), (5.955037593984965, 10.276655518394644), (6.9575438596491255, 10.276655518394644), (7.960050125313286, 10.276655518394644), (8.962556390977447, 10.276655518394644), (9.965062656641608, 10.276655518394644), (10.96756892230577, 10.276655518394644), (11.97007518796993, 10.276655518394644), (12.97258145363409, 10.276655518394644), (13.975087719298251, 10.276655518394644), (14.977593984962413, 10.276655518394644), (15.980100250626572, 10.276655518394644)}, {(-0.06000000000000006, 9.273311036789293), (0.9425062656641607, 9.273311036789293), (1.9450125313283215, 9.273311036789293), (2.9475187969924828, 9.273311036789293), (3.950025062656643, 9.273311036789293), (4.952531328320804, 9.273311036789293), (5.955037593984965, 9.273311036789293), (6.9575438596491255, 9.273311036789293), (7.960050125313286, 9.273311036789293), (8.962556390977447, 9.273311036789293), (9.965062656641608, 9.273311036789293), (10.96756892230577, 9.273311036789293), (11.97007518796993, 9.273311036789293), (12.97258145363409, 9.273311036789293), (13.975087719298251, 9.273311036789293), (14.977593984962413, 9.273311036789293), (15.980100250626572, 9.273311036789293)}, {(-0.06000000000000006, 8.269966555183942), (0.9425062656641607, 8.269966555183942), (1.9450125313283215, 8.269966555183942), (2.9475187969924828, 8.269966555183942), (3.950025062656643, 8.269966555183942), (4.952531328320804, 8.269966555183942), (5.955037593984965, 8.269966555183942), (6.9575438596491255, 8.269966555183942), (7.960050125313286, 8.269966555183942), (8.962556390977447, 8.269966555183942), (9.965062656641608, 8.269966555183942), (10.96756892230577, 8.269966555183942), (11.97007518796993, 8.269966555183942), (12.97258145363409, 8.269966555183942), (13.975087719298251, 8.269966555183942), (14.977593984962413, 8.269966555183942), (15.980100250626572, 8.269966555183942)}, {(-0.06000000000000006, 7.266622073578592), (0.9425062656641607, 7.266622073578592), (1.9450125313283215, 7.266622073578592), (2.9475187969924828, 7.266622073578592), (3.950025062656643, 7.266622073578592), (4.952531328320804, 7.266622073578592), (5.955037593984965, 7.266622073578592), (6.9575438596491255, 7.266622073578592), (7.960050125313286, 7.266622073578592), (8.962556390977447, 7.266622073578592), (9.965062656641608, 7.266622073578592), (10.96756892230577, 7.266622073578592), (11.97007518796993, 7.266622073578592), (12.97258145363409, 7.266622073578592), (13.975087719298251, 7.266622073578592), (14.977593984962413, 7.266622073578592), (15.980100250626572, 7.266622073578592)}, {(-0.06000000000000006, 6.2632775919732415), (0.9425062656641607, 6.2632775919732415), (1.9450125313283215, 6.2632775919732415), (2.9475187969924828, 6.2632775919732415), (3.950025062656643, 6.2632775919732415), (4.952531328320804, 6.2632775919732415), (5.955037593984965, 6.2632775919732415), (6.9575438596491255, 6.2632775919732415), (7.960050125313286, 6.2632775919732415), (8.962556390977447, 6.2632775919732415), (9.965062656641608, 6.2632775919732415), (10.96756892230577, 6.2632775919732415), (11.97007518796993, 6.2632775919732415), (12.97258145363409, 6.2632775919732415), (13.975087719298251, 6.2632775919732415), (14.977593984962413, 6.2632775919732415), (15.980100250626572, 6.2632775919732415)}, {(-0.06000000000000006, 5.259933110367891), (0.9425062656641607, 5.259933110367891), (1.9450125313283215, 5.259933110367891), (2.9475187969924828, 5.259933110367891), (3.950025062656643, 5.259933110367891), (4.952531328320804, 5.259933110367891), (5.955037593984965, 5.259933110367891), (6.9575438596491255, 5.259933110367891), (7.960050125313286, 5.259933110367891), (8.962556390977447, 5.259933110367891), (9.965062656641608, 5.259933110367891), (10.96756892230577, 5.259933110367891), (11.97007518796993, 5.259933110367891), (12.97258145363409, 5.259933110367891), (13.975087719298251, 5.259933110367891), (14.977593984962413, 5.259933110367891), (15.980100250626572, 5.259933110367891)}, {(-0.06000000000000006, 4.2565886287625405), (0.9425062656641607, 4.2565886287625405), (1.9450125313283215, 4.2565886287625405), (2.9475187969924828, 4.2565886287625405), (3.950025062656643, 4.2565886287625405), (4.952531328320804, 4.2565886287625405), (5.955037593984965, 4.2565886287625405), (6.9575438596491255, 4.2565886287625405), (7.960050125313286, 4.2565886287625405), (8.962556390977447, 4.2565886287625405), (9.965062656641608, 4.2565886287625405), (10.96756892230577, 4.2565886287625405), (11.97007518796993, 4.2565886287625405), (12.97258145363409, 4.2565886287625405), (13.975087719298251, 4.2565886287625405), (14.977593984962413, 4.2565886287625405), (15.980100250626572, 4.2565886287625405)}, {(-0.06000000000000006, 3.25324414715719), (0.9425062656641607, 3.25324414715719), (1.9450125313283215, 3.25324414715719), (2.9475187969924828, 3.25324414715719), (3.950025062656643, 3.25324414715719), (4.952531328320804, 3.25324414715719), (5.955037593984965, 3.25324414715719), (6.9575438596491255, 3.25324414715719), (7.960050125313286, 3.25324414715719), (8.962556390977447, 3.25324414715719), (9.965062656641608, 3.25324414715719), (10.96756892230577, 3.25324414715719), (11.97007518796993, 3.25324414715719), (12.97258145363409, 3.25324414715719), (13.975087719298251, 3.25324414715719), (14.977593984962413, 3.25324414715719), (15.980100250626572, 3.25324414715719)}, {(-0.06000000000000006, 2.2498996655518404), (0.9425062656641607, 2.2498996655518404), (1.9450125313283215, 2.2498996655518404), (2.9475187969924828, 2.2498996655518404), (3.950025062656643, 2.2498996655518404), (4.952531328320804, 2.2498996655518404), (5.955037593984965, 2.2498996655518404), (6.9575438596491255, 2.2498996655518404), (7.960050125313286, 2.2498996655518404), (8.962556390977447, 2.2498996655518404), (9.965062656641608, 2.2498996655518404), (10.96756892230577, 2.2498996655518404), (11.97007518796993, 2.2498996655518404), (12.97258145363409, 2.2498996655518404), (13.975087719298251, 2.2498996655518404), (14.977593984962413, 2.2498996655518404), (15.980100250626572, 2.2498996655518404)}, {(-0.06000000000000006, 1.246555183946489), (0.9425062656641607, 1.246555183946489), (1.9450125313283215, 1.246555183946489), (2.9475187969924828, 1.246555183946489), (3.950025062656643, 1.246555183946489), (4.952531328320804, 1.246555183946489), (5.955037593984965, 1.246555183946489), (6.9575438596491255, 1.246555183946489), (7.960050125313286, 1.246555183946489), (8.962556390977447, 1.246555183946489), (9.965062656641608, 1.246555183946489), (10.96756892230577, 1.246555183946489), (11.97007518796993, 1.246555183946489), (12.97258145363409, 1.246555183946489), (13.975087719298251, 1.246555183946489), (14.977593984962413, 1.246555183946489), (15.980100250626572, 1.246555183946489)}, {(-0.06000000000000006, 0.24321070234113762), (0.9425062656641607, 0.24321070234113762), (1.9450125313283215, 0.24321070234113762), (2.9475187969924828, 0.24321070234113762), (3.950025062656643, 0.24321070234113762), (4.952531328320804, 0.24321070234113762), (5.955037593984965, 0.24321070234113762), (6.9575438596491255, 0.24321070234113762), (7.960050125313286, 0.24321070234113762), (8.962556390977447, 0.24321070234113762), (9.965062656641608, 0.24321070234113762), (10.96756892230577, 0.24321070234113762), (11.97007518796993, 0.24321070234113762), (12.97258145363409, 0.24321070234113762), (13.975087719298251, 0.24321070234113762), (14.977593984962413, 0.24321070234113762), (15.980100250626572, 0.24321070234113762)}, {(-0.06000000000000006, -0.760133779264212), (0.9425062656641607, -0.760133779264212), (1.9450125313283215, -0.760133779264212), (2.9475187969924828, -0.760133779264212), (3.950025062656643, -0.760133779264212), (4.952531328320804, -0.760133779264212), (5.955037593984965, -0.760133779264212), (6.9575438596491255, -0.760133779264212), (7.960050125313286, -0.760133779264212), (8.962556390977447, -0.760133779264212), (9.965062656641608, -0.760133779264212), (10.96756892230577, -0.760133779264212), (11.97007518796993, -0.760133779264212), (12.97258145363409, -0.760133779264212), (13.975087719298251, -0.760133779264212), (14.977593984962413, -0.760133779264212), (15.980100250626572, -0.760133779264212)}}
8. Textfield(input1) → InputBox1
9. Textfield(input2) → InputBox2