TikZ绘图示例——尺规作图:线段的任意等分

描述

将线段五等分, 做法如下:

1. 从点做一直线与成一角度(最好);
2. 由点起在上截取任意五等分;
3. 连接,通过分别作的平行线, 在上所交的点, 即把线段分为等分.

图形

代码

\documentclass[tikz, border=3pt]{standalone}
\usetikzlibrary{calc}

\begin{document}
    \begin{tikzpicture}[]
        % 标记点A, B, C
        \coordinate[label=left:{$A$}] (A) at (0,2);
        \coordinate[label=right:{$B$}] (B) at (5,2);
        \coordinate[label=below right:{$C$}] (C) at (5,0);

        % 绘制线段AB, AC
        \draw (A) -- (B);
        \draw (A) -- (C);

        % 等分线段AC
        \foreach \i in {1,2,...,5}
            {
                \coordinate[label=below:{$\i'$}] (a\i) at ($(A)!\i/5!(4.5,.2)$);
                \coordinate[label=above:{$\i$}] (b\i) at ($(A)!\i/5!(B)$);
                \draw (a\i) -- (b\i);
            }

    \end{tikzpicture}
\end{document}