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计算矩形面积：交互式练习

计算矩形面积：交互式练习
几何画板及绘图内容加载中，请稍等……
2023-07-31 17:39
多边形函数几何作图滑块动画函数图像
该范例通过GeoGebra动态演示如何根据矩形的长和宽计算其面积。核心数学概念是矩形面积公式（面积=长×宽），并涉及单位换算与面积单位的理解。作图要点包括使用RandomUniform生成随机边长，通过Textfield和InputBox让用户输入答案，利用If、Take、Zip等命令进行条件判断与数据提取，以及通过Corner、PointToPixels等实现界面布局和文本显示。适合小学4-5年级学生进行面积计算的练习，也可用于教师课堂演示或学生自主探究，支持西班牙语翻译，是经过验证的教学资源。

GeoGebra 命令及参数

  1. RandomUniform(0, 0.99, 200) → allRandomSeeds, {0.07287094196773597, 0.35851411687519313, 0.19185373515411677, 0.3560648070651423, 0.9499242305196738, 0.7337622757420196, 0.7527679252434598, 0.7991231348417204, 0.27392236270239173, 0.12287232996798989, 0.01707165357948234, 0.4585555839229422, 0.47281305183060857, 0.06614761754087212, 0.43316538614961275, 0.41985146219582387, 0.9598294465554408, 0.7011185609656753, 0.2140260009035315, 0.03772583787693068, 0.3932608475849075, 0.819769218042402, 0.7488214117723936, 0.3072523243235457, 0.888515875049514, 0.3149953034949047, 0.7670333659003459, 0.12963279588483598, 0.2873409794698807, 0.4761254316185489, 0.2553376241128383, 0.13543799208821822, 0.36725077468033246, 0.08863900580655303, 0.6492766227189996, 0.6107997727047858, 0.8171070930735853, 0.07070548496562994, 0.5032356480249316, 0.3718697489598444, 0.792352559645764, 0.00884658834330905, 0.1633947979811428, 0.8698802101110682, 0.8256601845450596, 0.38688873740431706, 0.3791788921863172, 0.3233527372101405, 0.6657033382129721, 0.6864256403150127, 0.359264620566966, 0.5153956260495063, 0.47838222475578485, 0.9132513159563692, 0.21842896125199454, 0.5126162975211352, 0.11116048043997584, 0.20265108604980314, 0.9714345856160954, 0.10794530230289816, 0.3221719226243927, 0.37705400946927076, 0.9197479898782103, 0.09262798647338301, 0.42145069472326174, 0.32235235475774493, 0.5461730170525887, 0.1727867378491256, 0.2420187735363564, 0.8841843803625457, 0.3714572488542143, 0.05328975511087871, 0.2636331445030965, 0.962654073133322, 0.6955903331942259, 0.9561848661321026, 0.5617514097090957, 0.12332698564297974, 0.6348636607046009, 0.4526649082371493, 0.318716871461358, 0.6638939825101002, 0.8237972136614307, 0.6864285987354567, 0.8532959927501195, 0.8896348501643867, 0.9687645971281313, 0.9423839514597918, 0.6585191081760549, 0.2667414319173108, 0.6075589090263926, 0.24791332064546923, 0.1862807168911605, 0.11067564859073659, 0.5362420866865969, 0.24437815954410277, 0.16035001948212305, 0.3170396693067986, 0.041407118502959646, 0.6441874791569069, 0.8173222000263, 0.9849263512524925, 0.23245752058887387, 0.38358893621269613, 0.5776099022970563, 0.7873958945142924, 0.9646701860670291, 0.6633618842321948, 0.7358300891996529, 0.020589178140766478, 0.24965759405176421, 0.9388016440541816, 0.31188480359722537, 0.07204190529147736, 0.3753825018545481, 0.4267801352823297, 0.33066519297790314, 0.010002992408951954, 0.1431024309373546, 0.5012522180882714, 0.7996265051666189, 0.3589892483403042, 0.7335341616459179, 0.9093486077781157, 0.1794877402680229, 0.23242292599392322, 0.48912702008045084, 0.008155072000664369, 0.16400284217993463, 0.0010019058400340052, 0.33362186717288705, 0.6574243335232965, 0.8701312476651867, 0.5654421695724392, 0.524046623338901, 0.8858007064840505, 0.5100041345920351, 0.28441042202237954, 0.3339616111075641, 0.08765946616078701, 0.17083808594205604, 0.0028291546532526225, 0.26011736491719095, 0.09437146231390921, 0.04839191230186547, 0.7822904486527155, 0.9277248301967422, 0.23770039282880717, 0.9336926629528555, 0.024053433054207884, 0.9722626988764973, 0.2541237612107714, 0.8815755876695749, 0.29602951808374983, 0.9681580614520049, 0.9071403384356939, 0.7930883061873415, 0.7382739757618368, 0.17677691274905688, 0.8100855942888388, 0.17200335224391236, 0.8368051186285999, 0.7579478364913296, 0.40462360460701785, 0.30856347458116834, 0.7430631742945136, 0.24071644530686356, 0.7899171364499123, 0.9711528996461145, 0.4659978882957371, 0.040191239874621774, 0.35449992834611355, 0.11884353771532451, 0.005639919891160636, 0.5081899182399311, 0.3970835046851457, 0.0347081113219359, 0.6610630827695724, 0.30593329857113555, 0.45392762616296045, 0.49142384790011323, 0.3718853608177843, 0.4972581244868456, 0.8089877525497428, 0.28700760952710497, 0.6608839345251215, 0.9807320783417802, 0.9888235882762605, 0.06953027689168018, 0.5359146909856082, 0.3886544672887342, 0.8072126688325523, 0.8053510413430887, 0.002130095840899352, 0.09021232225089844, 0.4745588550283253, 0.7657928320954384, 0.3704782530018644, 0.12503715909404334, 0.004519671839700301}
  2. Textfield(input1) → InputBox1
  3. If(animateControl ≟ 1, "unit", "units") → textUnitPlural
  4. Take(allRandomSeeds, randIndex, randIndex + numRandoms - 1) → currentRandomSeeds
  5. Textfield(input2) → InputBox2
  6. Zip(Defined[IndexOf[tt, textInput]], tt, {"+", "-", "*", "/", " ", "(", ")"}) → formatChecker
  7. Corner(5) → layoutAppSize
  8. PointToPixels(Corner[onboardingDisplayText, 2], Corner[1], Corner[3], Corner[5]) → layoutOnboarding
  9. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  10. If(isSquare, "square", "rectangle") → typeText
  11. makeBox(startRectangle, rectangleWidth, rectangleHeight) → rectangleOutline
  12. Text(rectangleWidth, startRectangle + (rectangleWidth / 2, 0), true, true, 0, 1) → labelWidth
  13. Text(rectangleHeight, startRectangle + (0, ((-rectangleHeight)) / 2, 0), true, true, -1, 0) → labelHeight
  14. Flatten(Sequence[Sequence[startRectangle - (0, (boxWidth * (rectangleHeight - 1))) + ((k * boxWidth), (j * boxWidth)), k, 0, rectangleWidth - 1], j, 0, rectangleHeight - 1]) → boxPoints
  15. Zip(makeBox[K, boxWidth, boxWidth], K, Take[boxPoints, 1, animateControl]) → boxes

AI 绘图提示语参考

画一个矩形，长度和宽度由随机数生成。矩形的长度和宽度分别标注在矩形的两侧，单位是随机生成的。生成多个相同大小的矩形，用线条连接起来，形成一个网格。用户可以输入矩形的长度和宽度，点击动画按钮来显示或隐藏矩形。
以上提示语为根据原始绘图命令整理而来，仅供参考。