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我正在尝试TikZ在笛卡尔平面上绘制两条带箭头的线。我画了一个正方形，边缘为灰色，我希望箭头的尖端位于正方形的边缘。特别是，我想在注释后面包含六个命令

"The following code is for placing arrowheads at the ends of the line segments."

TikZ没有编译它们。（这可以作为使用该intersections包的说明性示例。）

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,backgrounds}


\begin{document}



\begin{tikzpicture}[outer sep=0pt,p/.style={circle, fill,inner sep=1.5pt}]

\draw[draw=gray!30,latex-latex] (-3.75,0) +(-0.25cm,0) -- (3.75,0) -- +(0.25cm,0) node[below right] {$x$};

\clip (-3.75,-3.75) rectangle (3.75,3.75);

\draw[gray,dashed,line width=0.1pt] (-3.75,3.75) -- (3.75,3.75);
\draw[gray,dashed,line width=0.1pt] (-3.75,-3.75) -- (3.75,-3.75);
\draw[gray,dashed,line width=0.1pt] (-3.75,-3.75) -- (-3.75,3.75);
\draw[gray,dashed,line width=0.1pt] (3.75,-3.75) -- (3.75,3.75);

\draw[draw=blue!30,-latex] (0,0) -- (142:5);
\draw[draw=blue!30,-latex] (0,0) -- (-38:5);
\draw[draw=green!50,-latex] (0,0) -- (52:5);
\draw[draw=green!50,-latex] (0,0) -- (-128:5);

\coordinate[p,label={[fill=white]below right:$O$}] (O) at (0,0);

\coordinate (A) at (0:1);
\coordinate (B) at (52:1);
\path pic[draw, angle radius=5mm,"$\phi$",angle eccentricity=1.25] {angle = A--O--B};

\coordinate (a) at (180:1);
\coordinate (b) at (142:1);
\path pic[draw, angle radius=5mm,"$\theta$",angle eccentricity=1.25] {angle = b--O--a};

\coordinate (P) at (142:1);
\coordinate (Q) at (52:1);

\coordinate (R) at ($(O)!4mm! -45:(P)$);
\draw (R) -- ($(O)!(R)!(P)$);
\draw (R) -- ($(O)!(R)!(Q)$);

%The following code makes the right-angle mark and "colors" the inside of it white.
\begin{scope}[on background layer]
\draw[draw=gray!30,latex-latex] (0,3.75) +(0,0.25cm) node[above right] {$y$} -- (0,-3.75) -- +(0,-0.25cm);
\filldraw[fill=white] (O.center) -- ($(O)!(R)!(P)$) -- (R) -- ($(O)!(R)!(Q)$) -- cycle;
\end{scope}


%The following code is for placing arrowheads at the ends of the line segments.
%\path[name intersections={of=(-3.75,3.75) -- (3.75,3.75) and (0,0) -- (52:5), by=intersection-1}];
%\path[name intersections={of=(3.75,3.75) -- (3.75,-3.75) and (0,0) -- (-38:5), by=intersection-2}];
%\path[name intersections={of=(-3.75,-3.75) -- (3.75,-3.75) and (0,0) -- (-128:5), by=intersection-3}];
%\path[name intersections={of=(-3.75,3.75) -- (-3.75,-3.75) and (0,0) -- (142:5), by=intersection-4}];

%\draw[draw=green!50,latex-latex] (intersection-1) -- (intersection-3);
%\draw[draw=blue!30,latex-latex] (intersection-2) -- (intersection-4);

\end{tikzpicture}

\end{document}

答案1

这是一个元帖子比较起来，你只需要设定角度phi，其他一切都会自动调整。

在此处输入图片描述

prologues := 3;
outputtemplate := "%j%c.eps";

beginfig(1);
u := 1cm;
% defime the paths we need and a value for phi..
path xx, yy, box, ray;
xx = (left--right) scaled 4u;
yy = xx rotated 90;
box = unitsquare shifted -(1/2,1/2) scaled 7u;
ray = origin -- right scaled 7u;
numeric phi;
phi = 57.3; 

% first draw axes and box
drawoptions(withcolor .7 white);
drawdblarrow xx;
drawdblarrow yy;
draw box dashed evenly;
drawoptions();

% now draw the angle marks so they are underneath the main lines
% angle marks assume 0 < phi < 90...
path angle_mark[]; 
angle_mark1 = (1u,0) {up} .. (1u,0) rotated phi;
angle_mark2 = (-u,0) {up} .. (-u,0) rotated (phi-90);
angle_mark3 = unitsquare scaled 3/8 u rotated phi;
draw angle_mark1;
draw angle_mark2;
unfill angle_mark3; 
draw angle_mark3;

% now the main lines
for i=0 upto 3:
  drawarrow ray rotated (phi+90i) cutafter box withcolor .42[if odd(i): blue else: red fi, white];
endfor

% finally the labels
label(btex $\phi$   etex, point 1/2 of angle_mark1 scaled 1.23);
label(btex $\theta$ etex, point 1/2 of angle_mark2 scaled 1.23);
label.rt (btex $x$ etex, point 1 of xx);
label.top(btex $y$ etex, point 1 of yy);
fill fullcircle scaled dotlabeldiam;
picture O;
O = thelabel(btex $O$ etex, (u/2,0) rotated (180+45+phi));
unfill bbox O; draw O;

endfig;
end.

答案2

这是一个更简短的方法。

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,backgrounds}


\begin{document}



\begin{tikzpicture}[outer sep=0pt,p/.style={circle, fill,inner sep=1.5pt}]

\draw[draw=gray!30,latex-latex] (-3.75,0) +(-0.8cm,0) -- (3.75,0) -- +(0.25cm,0) node[below right] {$x$};

\coordinate[p,label={[fill=white]below right:$O$}] (O) at (0,0);

\draw[draw=blue!30,-latex] (0,0) -- (142:5)coordinate (aa);
\draw[draw=blue!30,-latex] (0,0) -- (-38:4.5)coordinate (cc);
\draw[draw=green!50,-latex] (0,0) -- (52:4.5)coordinate (dd);
\draw[draw=green!50,-latex] (0,0) -- (-128:4.5)coordinate (bb);

\draw[gray,dashed,line width=0.1pt] (aa|-bb) rectangle (cc|-dd);

\coordinate[p,label={[fill=white]below right:$O$}] (O) at (0,0);

\coordinate (A) at (0:1);
\coordinate (B) at (52:1);
\path pic[draw, angle radius=5mm,"$\phi$",angle eccentricity=1.25] {angle = A--O--B};

\coordinate (a) at (180:1);
\coordinate (b) at (142:1);
\path pic[draw, angle radius=5mm,"$\theta$",angle eccentricity=1.25] {angle = b--O--a};

\coordinate (P) at (142:1);
\coordinate (Q) at (52:1);

\coordinate (R) at ($(O)!4mm! -45:(P)$);
\draw (R) -- ($(O)!(R)!(P)$);
\draw (R) -- ($(O)!(R)!(Q)$);

%The following code makes the right-angle mark and "colors" the inside of it white.
\begin{scope}[on background layer]
\draw[draw=gray!30,latex-latex] (0,3.75) +(0,0.25cm) node[above right] {$y$} -- (0,-3.75) -- +(0,-0.25cm);
\filldraw[fill=white] (O.center) -- ($(O)!(R)!(P)$) -- (R) -- ($(O)!(R)!(Q)$) -- cycle;
\end{scope}

\end{tikzpicture}

\end{document}

在此处输入图片描述

无需裁剪，无需逐块绘制矩形，无需交集。只需定义坐标等aa，bb然后使用

\draw[gray,dashed,line width=0.1pt] (aa|-bb) rectangle (cc|-dd);

绘制矩形。我已将这些线的长度从 调整5为4.5BTW。

由于我仍然有些困惑，你也可以画其他线条，例如

\draw[olive,latex-latex] (aa) -- (bb);
\draw[olive,latex-latex] (aa) -- (dd);

在此处输入图片描述

编辑

为了保存\clip和找到交点，您必须在绘制路径时为其命名。检查以下代码。

\documentclass[10pt]{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,quotes,backgrounds,intersections}
%% come back here

\begin{document}


\begin{tikzpicture}[outer sep=0pt,p/.style={circle, fill,inner sep=1.5pt}]

\draw[draw=gray!30,latex-latex] (-3.75,0) +(-0.25cm,0) -- (3.75,0) -- +(0.25cm,0) node[below right] {$x$};

\clip (-3.75,-3.75) rectangle (3.75,3.75);

\draw[gray,dashed,line width=0.1pt,name path =A] (-3.75,3.75) -- (3.75,3.75);
\draw[gray,dashed,line width=0.1pt,name path = E] (-3.75,-3.75) -- (3.75,-3.75);
\draw[gray,dashed,line width=0.1pt,name path =G] (-3.75,-3.75) -- (-3.75,3.75);
\draw[gray,dashed,line width=0.1pt,name path=C] (3.75,-3.75) -- (3.75,3.75);

\draw[draw=blue!30,-latex,name path = H] (0,0) -- (142:5);
\draw[draw=blue!30,-latex,name path = D] (0,0) -- (-38:5);
\draw[draw=green!50,-latex,name path=B] (0,0) -- (52:5);
\draw[draw=green!50,-latex,name path =F] (0,0) -- (-128:5);

\coordinate[p,label={[fill=white]below right:$O$}] (O) at (0,0);

\coordinate (A) at (0:1);
\coordinate (B) at (52:1);
\path pic[draw, angle radius=5mm,"$\phi$",angle eccentricity=1.25] {angle = A--O--B};

\coordinate (a) at (180:1);
\coordinate (b) at (142:1);
\path pic[draw, angle radius=5mm,"$\theta$",angle eccentricity=1.25] {angle = b--O--a};

\coordinate (P) at (142:1);
\coordinate (Q) at (52:1);

\coordinate (R) at ($(O)!4mm! -45:(P)$);
\draw (R) -- ($(O)!(R)!(P)$);
\draw (R) -- ($(O)!(R)!(Q)$);

\begin{scope}[on background layer]
\draw[draw=gray!30,latex-latex] (0,3.75) +(0,0.25cm) node[above right] {$y$} -- (0,-3.75) -- +(0,-0.25cm);
\filldraw[fill=white] (O.center) -- ($(O)!(R)!(P)$) -- (R) -- ($(O)!(R)!(Q)$) -- cycle;
\end{scope}

    %The following code is for placing arrowheads at the ends of the line segments.
    \path[name intersections={of= A and B, by=aa}];
    \path[name intersections={of=C  and D, by=bb}];
    \path[name intersections={of= E and F, by=cc}];
    \path[name intersections={of= G and H, by=dd}];
    \draw[draw=green!30,latex-latex] (O) -- (aa);
    \draw[draw=blue!30,latex-latex] (O) -- (bb);
    \draw[draw=green!50,latex-latex] (O) -- (cc);
    \draw[draw=blue!30,latex-latex] (O) -- (dd);



\end{tikzpicture}

\end{document}

在此处输入图片描述

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