如果我缩放 TikZ 图片环境，所有内容都应该按正确的比例缩放x？
如果是这样的话，为什么某些代码在环境中无法扩展或扩展不正确？
例如，
\begin{tikzpicture}[scale = 3]
code
\end{tikzpicture}
我询问的原因是，当我输入缩放值作为环境选项时，Qrrbrbirlbel 帮助的一些代码无法缩放。
当我缩放图片时，出现以下错误：
ERROR: Package pgf Error: No shape named F'-2 is known.
--- TeX said ---
See the pgf package documentation for explanation.
Type H <return> for immediate help.
...
l.62 }
%!?
--- HELP ---
From the .log file...
以下是代码：
\documentclass[convert = false]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc, intersections}
\begin{document}
\tikzset{circle with radius/.style = {shape = circle, inner sep = 0pt,
outer sep = 0pt, minimum size = {2 * (#1)}}}
\begin{tikzpicture}[scale = .5
]
\coordinate (O) at (0, 0);
\pgfmathsetmacro{\as}{3}
\pgfmathsetmacro{\bs}{2.25}
\pgfmathsetmacro{\c}{sqrt(\as^2 - \bs^2)}
\pgfmathsetmacro{\al}{3.75}
\pgfmathsetmacro{\bl}{2.9}
\pgfmathsetmacro{\cl}{sqrt(\al^2 - \bl^2)}
\pgfmathsetmacro{\xs}{abs(\c - \cl)}
\coordinate (O) at (0, 0);
\coordinate (F) at (\c, 0) {};
\path[name path global = line1] (\c, 0) -- ++(60:{\as} and \bs);
\path[name path global = line2] (\c, 0) -- ++(150:6cm);
\draw[name path global = ell1] (O) ellipse
(\as cm and \bs cm);
\draw[name path global = ell2] (-\xs, 0)
ellipse (\al cm and \bl cm);
\path[name intersections = {of = line1 and ell1, by = P1}];
\coordinate (A) at (P1) {};
\path[name intersections = {of = line2 and ell2, by = P2}];
\coordinate (B) at (P2) {};
\begin{scope}[declare function = {doubleA = 5.8cm;}]
\clip ($(A.center) + (1, 0)$) rectangle ($(B.center) + (0, 1)$);
\begin{pgfinterruptboundingbox}
\path let
\p1 = ($(A) - (F)$),
\p2 = ($(B) - (F)$),
\n1 = {veclen(\x1, \y1)},
\n2 = {veclen(\x2, \y2)}
in
(A) node[name path global = aCircle, circle with radius = doubleA-\n1]
{}
(B) node[name path global = bCircle, circle with radius = doubleA-\n2]
{}
(F) node[name path global = fCircle,
circle with radius = .5 * doubleA] {};
\tikzset{name intersections = {of = aCircle and bCircle, name = F'} }
\foreach \solA in {2} {
\path ($(F)!.5!(F'-\solA)$) coordinate (C'-\solA)
($(C'-\solA)!doubleA/2!(F)$) coordinate (xDir-\solA)
(F'-\solA) node[name path global/.expanded = f'Circle-\solA,
circle with radius = .5 * doubleA] {};
} %!?
\foreach \solA in {2} { %!?
\path[name intersections = {of = fCircle and f'Circle-\solA,
by = {yDir-\solA}}]
($(xDir-\solA)-(C'-\solA)$) coordinate (xDir'-\solA)
($(yDir-\solA)-(C'-\solA)$) coordinate (yDir'-\solA)
;
}
\end{pgfinterruptboundingbox}
\foreach \solA in {2}
\draw[x = (xDir'-\solA), y = (yDir'-\solA),
name path global = traj]
(C'-\solA) circle [radius = 1];
\end{scope}
\end{tikzpicture}
\end{document}
不进行缩放：
缩放后：
有没有办法我可以扩展这个tikzpicture环境？
编辑2：
由于我只生成了 MWE，修复代码中的问题只会引发另一个无法预见的问题。因此，我发布了整个代码以及transform shape它带来的新问题。
根据 Peter 和 Qrrbrbirlbel 的建议，我能够解决缩放问题，但又出现了一个新问题（见下图）：
1 不应该颠倒，那些节点和线不应该位于它们显示的位置。为什么会transform shape导致这个问题？
我刚刚在这里读了 Andrew Stacey 的帖子如何缩放包含文本的 tikzpicture？。他谈到将对transform shape节点应用旋转。
所以我尝试添加：
\tikzset{global scale/.style={
scale=#1,
every node/.style={scale=#1}
}
}
按照安德鲁的建议将上面的代码添加到图片中，但没有任何改变。
我添加了非 MWE 的代码，因为没有 MWE 代码在这里没有帮助。这是因为当我实施一项更改时，其他内容受到了影响。因此，提供帮助的人不知道代码中还发生了什么。
\documentclass[convert = false]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc, intersections, backgrounds, decorations.markings, arrows}
\begin{document}
\begin{tikzpicture}[line join = round, line cap = round, >=triangle 45,
every label/.append style = {font = \scriptsize},
dot/.style = {inner sep = +0pt, shape = circle,
draw = black, label = {#1}},
small dot/.style = {minimum size = .05cm, dot = {#1}},
big dot/.style = {minimum size = .1cm, dot = {#1}},
transform shape, scale = .75
]
\tikzset{circle with radius/.style = {shape = circle, inner sep = 0pt,
outer sep = 0pt, minimum size = {2 * (#1)}
}
}
\tikzset{global scale/.style = {
scale = #1,
every node/.style = {scale = #1}
}
}
\coordinate (O) at (0, 0);
\pgfmathsetmacro{\as}{3}
\pgfmathsetmacro{\bs}{2.25}
\pgfmathsetmacro{\c}{sqrt(\as^2 - \bs^2)}
\pgfmathsetmacro{\al}{3.75}
\pgfmathsetmacro{\bl}{2.9}
\pgfmathsetmacro{\cl}{sqrt(\al^2 - \bl^2)}
\pgfmathsetmacro{\xs}{abs(\c - \cl)}
\coordinate (O) at (0, 0);
\clip (-1, .25) rectangle (-6, 4);
\node[fill = black, big dot = {below left: \(F\)}] (F) at (\c, 0) {};
\path[name path global = line1] (\c, 0) -- ++(60:{\as} and \bs);
\path[name path global = line2] (\c, 0) -- ++(150:6cm);
\begin{scope}[decoration = {markings,
mark = at position 0.25 with {\arrow{>}},
mark = at position 0.375 with {\node[draw, shape = circle,
inner sep = .04cm, fill = white, font = \tiny] {\(1\)};},
mark = at position 0.75 with {\arrow{>}},
} ]
\draw[postaction = decorate, name path global = ell1, blue] (O) ellipse
(\as cm and \bs cm);
\end{scope}
\begin{scope}[decoration = {markings,
mark = at position 0.25 with {\arrow{>}},
mark = at position 0.6 with {\node[draw, shape = circle,
inner sep = .04cm, fill = white, font = \tiny] {\(2\)};},
mark = at position 0.75 with {\arrow{>}},
},
on background layer
]
\draw[postaction = decorate, name path global = ell2, red] (-\xs, 0)
ellipse (\al cm and \bl cm);
\end{scope}
\path[name intersections = {of = line1 and ell1, by = P1}];
\node[fill = black, big dot = {right: \(A\)}] (A) at (P1) {};
\path[name intersections = {of = line2 and ell2, by = P2}];
\node[fill = black, big dot = {above: \(B\)}] (B) at (P2) {};
\draw[blue] (F) -- (A);
\draw[red] (F) -- (B) node[font = \scriptsize, fill = white,
inner sep = 0cm, pos = .5] {\(r_B\)};
\begin{scope}[on background layer]
\draw[dashed, -latex] ($(-\al , 0) - (1, 0)$) -- ($(\al, 0) + (.5, 0)$)
coordinate (P3);
\draw[dashed, -latex] ($(F) - (0, 3)$) -- ($(F) + (0, 3)$);
\end{scope}
\begin{scope}[declare function = {doubleA = 5.8cm;},
decoration = {markings,
mark = at position 0.175 with {\arrow{>}},
mark = at position 0.225 with {\node[draw, shape = circle,
inner sep = .04cm, fill = white, font = \tiny] {\(3\)};}
} ]
\clip ($(A.center) + (1, 0)$) rectangle ($(B.center) + (0, 1)$);
\begin{pgfinterruptboundingbox}
\path let
\p1 = ($(A) - (F)$),
\p2 = ($(B) - (F)$),
\n1 = {veclen(\x1, \y1)},
\n2 = {veclen(\x2, \y2)}
in
(A) node[name path global = aCircle, circle with radius = doubleA-\n1]
{}
(B) node[name path global = bCircle, circle with radius = doubleA-\n2]
{}
(F) node[name path global = fCircle,
circle with radius = .5 * doubleA] {};
\tikzset{name intersections = {of = aCircle and bCircle, name = F'} }
\foreach \solA in {2} {
\path ($(F)!.5!(F'-\solA)$) coordinate (C'-\solA)
($(C'-\solA)!doubleA/2!(F)$) coordinate (xDir-\solA)
(F'-\solA) node[name path global/.expanded = f'Circle-\solA,
circle with radius = .5 * doubleA] {};
} %!?
\foreach \solA in {2} { %!?
\path[name intersections = {of = fCircle and f'Circle-\solA,
by = {yDir-\solA}}]
($(xDir-\solA)-(C'-\solA)$) coordinate (xDir'-\solA)
($(yDir-\solA)-(C'-\solA)$) coordinate (yDir'-\solA)
;
}
\end{pgfinterruptboundingbox}
\foreach \solA in {2}
\draw[x = (xDir'-\solA), y = (yDir'-\solA), postaction = decorate,
name path global = traj]
(C'-\solA) circle [radius = 1];
\end{scope}
\draw[on background layer, red] let
\p0 = (F),
\p1 = (B),
\p2 = (P3),
\n1 = {atan2(\x1 - \x0, \y1 - \y0)},
\n2 = {atan2(\x2 - \x0, \y2 - \y0)},
\n3 = {.75cm},
\n4 = {(\n2 + \n1) / 2}
in (F) +(\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[font = \tiny, fill = white, inner sep = 0cm] at
([shift = (F)] \n4:\n3) {\(\nu_B\)};
\draw[blue] let
\p0 = (F),
\p1 = (A),
\p2 = (P3),
\n1 = {atan2(\x1 - \x0, \y1 - \y0)},
\n2 = {atan2(\x2 - \x0, \y2 - \y0)},
\n3 = {.5cm},
\n4 = {(\n2 + \n1) / 2}
in (F) +(\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[font = \tiny, fill = white, inner sep = 0cm] at
([shift = (F)] \n4:.75cm) {\(\nu_A\)};
\path[name path = circ] (B) circle [radius = 1bp];
\draw[name intersections = {of = circ and traj}, -latex] (B) --
($(intersection-1)!1.25cm!(intersection-2)$) node[pos = .4, font = \tiny,
below, fill = white, inner sep = 0cm] {\(\mathbf{v}_1\)} coordinate (P3);
\draw[name intersections = {of = circ and ell2}, -latex, red] (B) --
($(intersection-1)!2cm!(intersection-2)$) node[pos = .5, font = \tiny,
above] {\(\mathbf{v}_2\)} coordinate (P4);
\draw[-latex, name path = line3] (P3) -- (P4) node[pos = .5, font = \tiny,
fill = white, inner sep = 0cm] {\(\Delta\mathbf{v}\)};
\draw[name path = line4] (B) -- ($(B)!2.1cm!-90:(F)$) coordinate (P5);
\path[name path = circ2] (P3) circle [radius = 1bp];
\path[name intersections = {of = circ2 and line3}, name path = line5]
(P3) -- ($(intersection-1)!2cm!(P3)$);
\path[name intersections = {of = line5 and line4, by = P6}];
\draw[dotted] (P3) -- (P6);
\path[name intersections = {of = circ and traj}] (B) --
($(intersection-1)!1.5cm!(intersection-2)$) coordinate (P7);
\draw (P3) -- (P7);
\path[name intersections = {of = circ and ell2}] (B) --
($(intersection-1)!2.5cm!(intersection-2)$) coordinate (P8);
\draw (P4) -- (P8);
\draw let
\p0 = (B),
\p1 = (P5),
\p2 = (P3),
\n1 = {atan2(\x1 - \x0, \y1 - \y0)},
\n2 = {atan2(\x2 - \x0, \y2 - \y0)},
\n3 = {1.4cm},
\n4 = {(\n2 + \n1) / 2}
in (B) +(\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
coordinate (P9) at ([shift = (B)] \n4:\n3);
\draw (P9) .. controls ($(P9) - (.15, .15)$) .. ($($(P9) - (.15, .15)$) +
(.25, -.3)$) node[font = \tiny, fill = white, inner sep = 0cm]
{\(\gamma_1\)};
\draw[-latex] let
\p0 = (B),
\p1 = (P5),
\p2 = (P8),
\n1 = {atan2(\x1 - \x0, \y1 - \y0)},
\n2 = {atan2(\x2 - \x0, \y2 - \y0)},
\n3 = {2.1cm},
\n4 = {(\n2 + \n1) / 2}
in (B) +(\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \tiny] at ([shift = (B)]
\n4:\n3) {\(\gamma_2\)};
\draw let
\p0 = (B),
\p1 = (P3),
\p2 = (P4),
\n1 = {atan2(\x1 - \x0, \y1 - \y0)},
\n2 = {atan2(\x2 - \x0, \y2 - \y0)},
\n3 = {1cm},
\n4 = {(\n1 + \n2) / 2}
in (B) +(\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \tiny] at
([shift = (B)] \n4:\n3) {\(\Delta\gamma\)} coordinate (DG);
\begin{scope}[on background layer]
\draw[-latex] let
\p0 = (P6),
\p1 = (P5),
\p2 = (P4),
\n1 = {atan2(\x1 - \x0, \y1 - \y0)},
\n2 = {atan2(\x2 - \x0, \y2 - \y0) - 360},
\n3 = {.75cm},
\n4 = {(\n2 + \n1) / 2}
in (P6) +(\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \tiny] at ([shift = (P6)]
\n4:\n3) {\(\phi\)};
\end{scope}
\end{tikzpicture}
\end{document}