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苹果与橙子的比例书写练习

苹果与橙子的比例书写练习
几何画板及绘图内容加载中，请稍等……
2023-08-24 04:50
函数数列概率统计滑块动画
该范例通过随机生成苹果和橙子的数量，引导学生练习书写两种水果数量的比例。核心数学概念是比例（ratio）与比率（rate），强调用比值比较两个量。作图要点包括使用GeoGebra的随机数生成命令（如RandomUniform、Shuffle、Sample）来随机化题目，通过Textfield和InputBox提供输入框，利用Polygon和Translate绘制水果图形，并借助按钮（btnValidate、btnNew）实现验证与刷新。适合6-8年级学生，用于课堂练习或自主巩固比例概念，支持西班牙语翻译，便于多语言教学环境使用。

GeoGebra 命令及参数

  1. Shuffle(Sequence[20]) → applesNums_{1}, {7, 12, 19, 17, 14, 4, 3, 6, 1, 8, 13, 9, 15, 18, 16, 10, 2, 20, 11, 5}
  2. Element(applesNums_{1}, Mod[questionCount_{1}, Length[applesNums_{1}]] + 1) → applesNum
  3. Shuffle(Sequence[25 - applesNum]) → orangesNums_{1}, {12, 5, 6, 18, 2, 15, 7, 17, 9, 11, 13, 3, 8, 16, 4, 14, 1, 10}
  4. Element(orangesNums_{1}, 1) → orangesNum
  5. RandomUniform(0, 0.99, 200) → allRandomSeeds, {0.07652076779085971, 0.8685243830501315, 0.2114043768171082, 0.5434539937186297, 0.14920321495389569, 0.8476057148638954, 0.8484448079238579, 0.5994263572985519, 0.4964999199596241, 0.4883514679897285, 0.08969196371331459, 0.505760783304117, 0.9217005589964525, 0.8407503623042758, 0.5618372078230758, 0.8725257723382244, 0.9382081282838892, 0.23799115944853944, 0.31115220773268126, 0.03929063634851419, 0.7995661868623837, 0.9174274609156943, 0.2678087413315922, 0.2952533127616925, 0.033410255606943225, 0.5590476636613372, 0.9614988426200354, 0.6053962786721527, 0.24997275740173613, 0.40927454175408723, 0.5903866249573237, 0.28513835566302803, 0.49224567340088937, 0.28275277466551607, 0.6179909911119712, 0.28062815588900275, 0.09106749139079248, 0.14680426867821594, 0.4898541204637641, 0.8286899121816631, 0.8442498100330541, 0.09244027331295253, 0.013794601880884631, 0.8494858310997808, 0.614397308916947, 0.12221541579357467, 0.7041744677700479, 0.5161982083953375, 0.07529800770218324, 0.8187931763229678, 0.001927832815168382, 0.9794636146725252, 0.3716740847045649, 0.5488635448720451, 0.7881047156378825, 0.039905272820462356, 0.3916824181499475, 0.14501240339834087, 0.1493771295614215, 0.649914076191424, 0.2758410631265058, 0.6132895100487722, 0.6593351830168974, 0.2958171792985301, 0.5200332167708512, 0.45655474076332625, 0.5794692619754532, 0.6737526055217733, 0.10390136031683604, 0.353204525623915, 0.9784906711638872, 0.3369318664200982, 0.9092946955763481, 0.22758945838562772, 0.02808561746737438, 0.2085267099522232, 0.4764695582490352, 0.4523299021425254, 0.8973293290572223, 0.673155661709837, 0.8684674187472822, 0.983821112565769, 0.15680456709316395, 0.35087335450761264, 0.8665071042890542, 0.9304902972213283, 0.8669750783157284, 0.8306822768265991, 0.5913272888973761, 0.7488275297281476, 0.6735579599675378, 0.37588762670943443, 0.27720280875444614, 0.9448584904066853, 0.6255194780150877, 0.13110732086517748, 0.47683253813216675, 0.5685612333286154, 0.7488874217050863, 0.16042665984359125, 0.5464589990913553, 0.18575058016503745, 0.5518290905086345, 0.008052075885485017, 0.3014293813849853, 0.4661627712594146, 0.6833867853792719, 0.7968716460719191, 0.6029445568159164, 0.6178694868968381, 0.9598943687910173, 0.4865698399184415, 0.05696763378129979, 0.03673422779453556, 0.00941614630438696, 0.6013718513189164, 0.9361755654815658, 0.6353957412120954, 0.09555548479309366, 0.5281083234116831, 0.5554367123418015, 0.32922178314043915, 0.3376738322496882, 0.7980936771763253, 0.17058474418629369, 0.6768236552647037, 0.7549418198736336, 0.3113014855012007, 0.16923359669032084, 0.9400551399424978, 0.7167121860749212, 0.758498630124476, 0.5310403875052669, 0.9829414654517175, 0.0514604852636798, 0.7963642591916511, 0.16317302893153196, 0.3506929084704175, 0.25098275166934486, 0.5421733096977173, 0.62477577245668, 0.14885372867662064, 0.4656698634977281, 0.12836369197686778, 0.631951401971262, 0.8587217477047703, 0.20049731338908072, 0.02323488496087922, 0.7421900853096297, 0.39844459736311566, 0.3698743868361836, 0.5421397960857421, 0.9842749926241755, 0.8896583614239719, 0.012690342994523495, 0.9638357388818488, 0.5864817919614975, 0.017180380811757646, 0.6767762560463374, 0.07914959800463188, 0.352363612601839, 0.2941021686420633, 0.794568957607119, 0.8237904180438413, 0.27957529078746723, 0.1566496566582943, 0.15902014589659635, 0.10400798388053117, 0.48304050337565557, 0.9223874893340074, 0.2807363041149145, 0.012848471393473483, 0.8893018233221838, 0.011739583436503146, 0.7439666818680385, 0.4559984395241955, 0.054119496375148145, 0.8563835442437262, 0.2303742153835675, 0.9796366326394385, 0.9702955628130038, 0.15884662637186456, 0.7755308450791448, 0.848327466019328, 0.29730043416580504, 0.7255907482839223, 0.9037713118648372, 0.548793804604617, 0.7085659961502656, 0.4310205170585822, 0.022421141560303733, 0.6453959393067363, 0.476283512639301, 0.19218163320328188, 0.08648213579662603, 0.925322130496706, 0.7572072315471127, 0.7334393419750727, 0.8596153019419764, 0.28586080381760653}
  6. Sample(Sequence[36], applesNum, false) → applesPos_{1}, {23, 20, 18, 26, 34, 21, 6}
  7. Sample(Sequence[36] \ applesPos_{1}, orangesNum, false) → orangesPos_{1}, {35, 16, 36, 4, 19, 3, 11, 25, 8, 28, 29, 2}
  8. Take(allRandomSeeds, randIndex, randIndex + numRandoms - 1) → currentRandomSeeds
  9. Textfield(input1) → InputBox1
  10. Textfield(input2) → InputBox2
  11. Corner(5) → layoutAppSize
  12. sectorPixels(A, B, C, haloPixels + 40, Corner[1], Corner[3], Corner[5]) → pulsingObject
  13. sectorPixels(A, B, C, 40, Corner[1], Corner[3], Corner[5]) → displayAngle
  14. PointToPixels(Corner[onboardingDisplayText, 2], Corner[1], Corner[3], Corner[5]) → layoutOnboarding
  15. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  16. Polygon({(0, 0), (10, 0), (10, 4), (0, 4)}) → box_{1}
  17. Flatten(Sequence[Sequence[(0.5 + CLIPBOARDmagicSTRINGkk, 4 - (0.5 + CLIPBOARDmagicSTRINGjj)), CLIPBOARDmagicSTRINGkk, 0, 9], CLIPBOARDmagicSTRINGjj, 0, 4]) → positions_{1}
  18. Translate(vGL_{1}, Vector[(Vector[Corner[1], Corner[2]] / 800 * 16)]) → vGL'_{1}
  19. Translate(vGL_{1}, Vector[(Vector[Corner[1], Corner[2]] / 800 * 64)]) → vGL'_{2}
  20. Dilate(pic1_{1}, 0.11) → pic1'_{1}
  21. Zip(Translate[pic1'_{1}, Vector[positions_{1}(CLIPBOARDmagicSTRINGkk)]], CLIPBOARDmagicSTRINGkk, applesPos_{1}) → l1_{1}
  22. Dilate(pic2_{1}, 0.11) → pic2'_{1}
  23. Zip(Translate[pic2'_{1}, Vector[positions_{1}(CLIPBOARDmagicSTRINGkk)]], CLIPBOARDmagicSTRINGkk, orangesPos_{1}) → l2_{1}
  24. Zip(positions_{1}(kk), kk, Sort[Take[applesPos_{1}, 1, applesNum]]) → CentersApples
  25. Zip(Text[kk, PP, true, true, 0, 0], kk, Sequence[anim1], PP, CentersApples) → l1
  26. Zip(positions_{1}(kk), kk, Sort[Take[orangesPos_{1}, 1, orangesNum]]) → CentersOranges
  27. Zip(Text[kk, PP, true, true, 0, 0], kk, Sequence[anim2], PP, CentersOranges) → l2
  28. If(Mod[randomNum1, 2] ≟ 0, "oranges", "apples") → word1
  29. If(randomNum1 ≟ 1, "oranges", randomNum1 ≟ 2, "apples", "pieces of fruit") → word2
  30. Translate(hGL_{1}, Vector[(Vector[Corner[4], Corner[1]] / 500 * 16)]) → hGL'_{1}
  31. Text((InputBox1 * ""), false) → inputAsString
  32. Defined(IndexOf[":", inputAsString]) → colon

AI 绘图提示语参考

绘制一个数学比值练习的交互场景：画面左侧整齐排列着多个苹果图标，右侧排列着多个橙子图标，水果下方分别标注对应的数量数字。画面中央或下方设有两个输入框，供学生填写比值答案。整体布局简洁清晰，水果图标大小适中、排列有序，适合6-8年级学生使用。背景可以是简洁的白色或浅色，避免干扰元素。
以上提示语为根据原始绘图命令整理而来，仅供参考。