百分比增减演示

几何画板及绘图内容加载中，请稍等……

2023-04-26 16:08

所属专题 Prozentrechnung: Vermehrung und Verminderung

本范例演示了百分比增减的计算过程，通过可视化方式展示数量变化。涉及的核心数学概念是百分比计算和变化因子。作图要点使用了GeoGebra命令如Shuffle、Element、Textfield、Corner等，以及对象如counthint2、questionCount、Zkleiner1、Zgrößer1等，用于动态展示问题和答案。适合初中七、八年级学生，用于练习多步骤百分比问题。

GeoGebra 命令及参数

Shuffle(Sequence[0.01 + i, i, 0, 0.98, 0.01]) → Zkleiner1, {0.7300000000000004, 0.8800000000000006, 0.5000000000000002, 0.3200000000000001, 0.6700000000000004, 0.8500000000000005, 0.6600000000000004, 0.4400000000000002, 0.07, 0.11999999999999998, 0.49000000000000027, 0.6500000000000004, 0.5700000000000003, 0.8200000000000005, 0.04, 0.6300000000000003, 0.7500000000000004, 0.26000000000000006, 0.01, 0.6200000000000003, 0.35000000000000014, 0.19000000000000003, 0.17, 0.23000000000000007, 0.09999999999999999, 0.9200000000000006, 0.16, 0.6800000000000004, 0.2700000000000001, 0.03, 0.8000000000000005, 0.7400000000000004, 0.38000000000000017, 0.2800000000000001, 0.4100000000000002, 0.46000000000000024, 0.7700000000000005, 0.9700000000000006, 0.47000000000000025, 0.8600000000000005, 0.6100000000000003, 0.21000000000000005, 0.24000000000000007, 0.7800000000000005, 0.25000000000000006, 0.10999999999999999, 0.9600000000000006, 0.3000000000000001, 0.6400000000000003, 0.15, 0.3900000000000002, 0.9100000000000006, 0.2900000000000001, 0.3100000000000001, 0.5900000000000003, 0.09, 0.12999999999999998, 0.5200000000000002, 0.9000000000000006, 0.6900000000000004, 0.9400000000000006, 0.7200000000000004, 0.13999999999999999, 0.7900000000000005, 0.9900000000000007, 0.9500000000000006, 0.37000000000000016, 0.22000000000000006, 0.4000000000000002, 0.3300000000000001, 0.060000000000000005, 0.45000000000000023, 0.7000000000000004, 0.08, 0.05, 0.6000000000000003, 0.5300000000000002, 0.36000000000000015, 0.34000000000000014, 0.02, 0.5500000000000003, 0.8400000000000005, 0.4200000000000002, 0.9300000000000006, 0.20000000000000004, 0.5100000000000002, 0.4300000000000002, 0.5800000000000003, 0.8700000000000006, 0.7100000000000004, 0.5400000000000003, 0.8900000000000006, 0.7600000000000005, 0.18000000000000002, 0.9800000000000006, 0.5600000000000003, 0.8100000000000005, 0.8300000000000005, 0.48000000000000026}
Shuffle(Sequence[1.01 + i, i, 0, 0.98, 0.01]) → Zgrößer1, {1.9300000000000006, 1.5100000000000002, 1.4100000000000001, 1.32, 1.12, 1.5700000000000003, 1.6500000000000004, 1.37, 1.8900000000000006, 1.5300000000000002, 1.14, 1.5800000000000003, 1.4900000000000002, 1.6400000000000003, 1.06, 1.7200000000000004, 1.7000000000000004, 1.05, 1.9700000000000006, 1.6200000000000003, 1.6800000000000004, 1.7600000000000005, 1.8500000000000005, 1.11, 1.6700000000000004, 1.8100000000000005, 1.1, 1.21, 1.16, 1.28, 1.15, 1.3900000000000001, 1.7900000000000005, 1.7400000000000004, 1.5400000000000003, 1.6000000000000003, 1.08, 1.5000000000000002, 1.4600000000000002, 1.4500000000000002, 1.04, 1.03, 1.09, 1.4700000000000002, 1.8200000000000005, 1.5900000000000003, 1.24, 1.26, 1.5600000000000003, 1.29, 1.8000000000000005, 1.9400000000000006, 1.9200000000000006, 1.02, 1.31, 1.9100000000000006, 1.7500000000000004, 1.6900000000000004, 1.34, 1.3, 1.19, 1.5500000000000003, 1.7700000000000005, 1.13, 1.35, 1.23, 1.6600000000000004, 1.9600000000000006, 1.4800000000000002, 1.8700000000000006, 1.9900000000000007, 1.07, 1.36, 1.8300000000000005, 1.6100000000000003, 1.9500000000000006, 1.8800000000000006, 1.4000000000000001, 1.4300000000000002, 1.7300000000000004, 1.3800000000000001, 1.17, 1.6300000000000003, 1.2, 1.9800000000000006, 1.8400000000000005, 1.7800000000000005, 1.9000000000000006, 1.25, 1.18, 1.7100000000000004, 1.5200000000000002, 1.4200000000000002, 1.22, 1.8600000000000005, 1.33, 1.01, 1.4400000000000002, 1.27}
Shuffle(Join[{Zgrößer1, Zkleiner1}]) → ZZ, {0.2900000000000001, 0.03, 1.7400000000000004, 0.7100000000000004, 0.8400000000000005, 1.9100000000000006, 1.9200000000000006, 1.6100000000000003, 1.25, 1.22, 0.9200000000000006, 0.5000000000000002, 0.7700000000000005, 0.4000000000000002, 0.8600000000000005, 1.7000000000000004, 0.04, 1.6800000000000004, 1.9300000000000006, 0.3000000000000001, 1.04, 1.6200000000000003, 1.5700000000000003, 0.8100000000000005, 0.5900000000000003, 0.3300000000000001, 1.4000000000000001, 1.21, 1.19, 0.3100000000000001, 1.9000000000000006, 1.29, 0.24000000000000007, 0.7800000000000005, 0.6000000000000003, 0.5800000000000003, 1.32, 0.5600000000000003, 0.7300000000000004, 0.5200000000000002, 1.8400000000000005, 1.4500000000000002, 1.6500000000000004, 0.3900000000000002, 1.3900000000000001, 1.18, 0.7600000000000005, 1.6900000000000004, 1.8100000000000005, 1.5800000000000003, 1.5000000000000002, 1.5900000000000003, 1.7900000000000005, 1.8300000000000005, 1.05, 1.5400000000000003, 0.4400000000000002, 0.13999999999999999, 0.6800000000000004, 0.07, 1.27, 0.9400000000000006, 0.10999999999999999, 0.17, 1.2, 1.5200000000000002, 1.16, 1.6300000000000003, 0.9800000000000006, 1.26, 0.6900000000000004, 1.5600000000000003, 0.49000000000000027, 1.7700000000000005, 0.02, 0.6300000000000003, 0.16, 1.02, 1.6600000000000004, 1.8200000000000005, 1.4300000000000002, 1.11, 0.5700000000000003, 0.6600000000000004, 0.09, 0.060000000000000005, 0.7400000000000004, 0.5100000000000002, 0.7500000000000004, 1.03, 1.07, 0.9300000000000006, 0.15, 0.8200000000000005, 1.8600000000000005, 1.5300000000000002, 1.9900000000000007, 1.17, 0.08, 1.01, 0.12999999999999998, 0.47000000000000025, 1.4200000000000002, 1.28, 1.34, 0.48000000000000026, 0.23000000000000007, 0.9000000000000006, 0.9900000000000007, 1.6400000000000003, 1.4100000000000001, 1.8000000000000005, 1.23, 0.6500000000000004, 0.26000000000000006, 1.8900000000000006, 1.4800000000000002, 1.24, 1.14, 0.7000000000000004, 0.5500000000000003, 0.4200000000000002, 0.25000000000000006, 0.8000000000000005, 1.7800000000000005, 0.8300000000000005, 1.4600000000000002, 1.1, 0.21000000000000005, 0.46000000000000024, 0.6400000000000003, 0.8800000000000006, 0.9500000000000006, 0.9100000000000006, 0.9600000000000006, 1.9400000000000006, 1.6000000000000003, 1.9700000000000006, 0.3200000000000001, 1.4900000000000002, 1.35, 1.7600000000000005, 0.4300000000000002, 1.6700000000000004, 0.5300000000000002, 0.11999999999999998, 1.15, 1.9500000000000006, 1.37, 1.7500000000000004, 0.6200000000000003, 1.36, 1.7300000000000004, 0.20000000000000004, 0.8900000000000006, 1.4700000000000002, 0.5400000000000003, 0.09999999999999999, 1.9800000000000006, 1.9600000000000006, 1.3800000000000001, 0.18000000000000002, 1.31, 0.05, 1.5500000000000003, 1.5100000000000002, 1.4400000000000002, 1.12, 1.7200000000000004, 1.09, 0.38000000000000017, 0.7900000000000005, 0.35000000000000014, 0.6700000000000004, 0.9700000000000006, 0.36000000000000015, 0.22000000000000006, 0.2700000000000001, 0.4100000000000002, 0.34000000000000014, 1.08, 1.06, 1.3, 0.6100000000000003, 1.13, 0.01, 0.45000000000000023, 1.8700000000000006, 0.2800000000000001, 1.7100000000000004, 0.7200000000000004, 0.37000000000000016, 0.8700000000000006, 1.8500000000000005, 1.33, 1.8800000000000006, 0.8500000000000005, 0.19000000000000003}
Element(ZZ, Mod[questionCount, 198] + 1) → ZZFaktor
Textfield(input1) → InputBox1
Corner(Text2, 2) → E2Text2

AI 绘图提示语参考

绘制一个百分比变化的演示题界面：先准备两组随机比值，分别表示减少与增大的变化因子，提供从列表中自动抽取当前因子的机制；再把当次的“变化因子”通过序号选择出来。画面上放置用于填写答案的输入框，并在角落用文本显示问题说明/当前文本内容（含一个角标式文本项）。整体让因子与题目文本联动更新，同时保留输入框供用户计算百分比增减。

以上提示语为根据原始绘图命令整理而来，仅供参考。