我想用 tikz pgf 重现以下图像，但不确定如何操作：
我对这张平淡无奇的画感到非常抱歉，我对 tikz pgf 了解甚少，因为我对这样的东西还不熟悉。我看了这网站，但由于图表太复杂，我无法按照提供的图表建模。有人能帮我创建一个带有图例的图表吗？非常感谢！
编辑：
\documentclass[tikz, margin=3mm]{standalone}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{center}
\resizebox{11cm}{7.5cm}{%
\begin{tikzpicture}[
C/.style = {circle, draw, thick, minimum size=3.4em, inner sep=1pt},
arr/.style = {-Triangle, semithick, color=#1, shorten >=2pt, shorten <=2pt},
state/.style={circle, thick, draw=blue!75, fill=blue!20, minimum size=6mm}
]
\node (c0) [C] at ( 0:2.4) {$\frac{1}{1-x}$};
\node (c1) [state] at ( 60:2.4) {$1-x$};
\node (c2) [C] at (120:2.4) {$x$};
\node (c3) [state] at (180:2.4) {$\frac{1}{x}$};
\node (c4) [C] at (240:2.4) {$1-\frac{1}{x}$};
\node (c5) [C] at (300:2.4) {$\frac{x}{x-1}$};
%
\foreach \i in {0,2,4}
{
\pgfmathsetmacro{\j}{int(\i+1)}
\draw[arr=teal] (c\i) edge [bend left] (c\j)
(c\j) to [bend left] (c\i);
}
\path[draw=teal, very thick]
([shift={(-2.5,0.5)}] c2.west) node[right] {$g(x)=\frac{1}{x}$} -- ++ (-0.5,0);
%
\foreach \i in {1,3,5}
{
\pgfmathsetmacro{\j}{int(Mod(\i+1,6))}
\draw[arr=orange] (c\i) edge [bend left] (c\j)
(c\j) to [bend left] (c\i);
}
\path[draw=orange, very thick]
([shift={(-2.5,0.0)}] c2.west) node[right] {$f(x)=1-x$} -- ++ (-0.5,0);
\end{tikzpicture}
}
\end{center}
\end{document}
我对图例、适合页面的大小和颜色做了一些小改动。但是，其中一个蓝色圆圈不统一（来自 state/.style），我不知道该怎么办。谢谢！
答案1
\documentclass[tikz, margin=3mm]{standalone}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[
C/.style = {circle, draw, thick, minimum size=3.4em, inner sep=1pt},
arr/.style = {-Triangle, semithick, color=#1, shorten >=2pt, shorten <=2pt}
]
\node (c0) [C] at ( 0:2.4) {$\frac{1}{1-x}$};
\node (c1) [C] at ( 60:2.4) {$1-x$};
\node (c2) [C] at (120:2.4) {$x$};
\node (c3) [C] at (180:2.4) {$\frac{1}{x}$};
\node (c4) [C] at (240:2.4) {$1-\frac{1}{x}$};
\node (c5) [C] at (300:2.4) {$\frac{x}{x-1}$};
%
\foreach \i in {0,2,4}
{
\pgfmathsetmacro{\j}{int(\i+1)}
\draw[arr=teal] (c\i) edge [bend left] (c\j)
(c\j) to [bend left] (c\i);
}
\path[draw=teal, very thick]
([shift={(-1.5,0.5)}] c2.west) node[right] {$g(x)$} -- ++ (-0.5,0);
%
\foreach \i in {1,3,5}
{
\pgfmathsetmacro{\j}{int(Mod(\i+1,6))}
\draw[arr=orange] (c\i) edge [bend left] (c\j)
(c\j) to [bend left] (c\i);
}
\path[draw=orange, very thick]
([shift={(-1.5,0.0)}] c2.west) node[right] {$f(x)$} -- ++ (-0.5,0);
\end{tikzpicture}
\end{document}
