Pascal's Triangle and Binomial Coefficients
2020-10-09 17:39
This GeoGebra applet dynamically constructs Pascal's Triangle using Sequence and nCr (combinations) commands. It visually demonstrates the geometric arrangement of binomial coefficients, allowing users to observe their symmetry, the recursive addition rule (each number is the sum of the two above it), and combination calculations, serving as an excellent visualization tool for discrete mathematics
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1. 准备工作\\
 自由点A，两个控制向量: 纵向v=Vector(B,C), 横向u=Vector(C,D)\\

2. 点阵创建\\
 纵向 k v, k=0...a-1, 横向 m u, m=0...k\\
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 扁平化 l2=Flatten(l1)\\
3. 创建显示控制滑动条 n = Slider(0,length(l2),1)\\
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4. 命令nCr(n,r) 创建组合数列\\
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 扁平化 l5=Flatten(l4)\\
5. 文本序列创建\\
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 如果要改变字体大小，可以用 \LaTeX 命令\\
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