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直线到非垂直线的交点

tag-icon • tag-icon tikz-pgf intersections
直线到非垂直线的交点

我有两条非线性线。我想在它们之间创建一条（水平）线。我尝试按照手册中的一节操作...但效果并不理想。

手册中的示例：

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
  \path (30:1cm) node(p1) {$p_1$}   (75:1cm) node(p2) {$p_2$};
  \draw (-0.2,0) -- (1.2,0) node(xline)[right] {$q_1$};
  \draw (2,-0.2) -- (2,1.2) node(yline)[above] {$q_2$};
  \draw[->] (p1) -- (p1 |- xline);
  \draw[->] (p2) -- (p2 |- xline);
  \draw[->] (p1) -- (p1 -| yline);
  \draw[->] (p2) -- (p2 -| yline);
\end{tikzpicture}
\end{document}

我的一段代码。以及目前结果的图片。现在，该线应该从左到右，在两条红线之间（...，1.5）左右，就在蓝线下方。我该怎么做？这可能吗？

目前为止的代码图片

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\begin{document}
  \begin{tikzpicture}[scale=0.8]
    \draw[help lines] (-4,0) grid (4,4);
    \draw[thick] (-4,0) rectangle (4,4);
    \draw[blue, name path=line 1](-4,1.75) -- (4,1.75);
    \draw[red, thick, name path=line 2]  plot [smooth, tension=0.707] coordinates{(-4,0)  (-1.5,3) (4,4)};
    \fill[red,name intersections={of=line 1 and line 2,total=\t}]
    \foreach \s in {1,...,\t}{(intersection-\s) circle (2pt) node {\footnotesize\s}};
    \draw[red, thick, name path=line 3]  plot [smooth, tension=0.707] coordinates{(-4,0)  (1.5,1) (4,4)};
    \fill[red,name intersections={of=line 1 and line 3,total=\t}]
    \foreach \s in {1,...,\t}{(intersection-\s) circle (2pt) node {\footnotesize\s}};
    \draw[<->, green]  (0,1.5) -- (0,1.5 -| line 3); % this line failes
  \end{tikzpicture}
\end{document}

答案1

像这样？

在此处输入图片描述

我不确定哪些点之间应该画“绿”线。我假设它显示点s1和之间的距离s2。如果您希望将其放在其他地方，请告诉我。

\documentclass[tikz,margin=3mm]{standalone}
\usetikzlibrary{arrows.meta,intersections}

\begin{document}
    \begin{tikzpicture}
% grid
\draw[help lines] (-4,0) grid (4,4);
\draw[thick] (-4,0) rectangle (4,4);
% curve 1
\draw[red, thick, name path=line 1]  
        plot [smooth, tension=0.707] coordinates {(-4,0)  (-1.5,3) (4,4)};
% curve 2
\draw[red, thick, name path=line 2]  
        plot [smooth, tension=0.707] coordinates {(-4,0)  ( 1.5,1) (4,4)};
% path for determining of intersections
\draw[blue!50,name path=line 3] (-4,1.75) -- (4,1.75);
\fill[red,name intersections={of=line 1 and line 3, by={s1},}] (s1) circle (1pt);
\fill[red,name intersections={of=line 2 and line 3, by={s2},}] (s2) circle (1pt); 
% distancew between s1 and s2
\draw[Straight Barb-Straight Barb, teal]  (s1) -- (s2);
    \end{tikzpicture}
\end{document}

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