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以极坐标法指定坐标，其原点不是 (0,0)

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以极坐标法指定坐标，其原点不是 (0,0)

我有以下 MWE。我正在尝试计算蓝线上端的坐标，最初由 +(45:2) 确定，并将该坐标分配给点 B。不知道该怎么做...

\documentclass{standalone}
\usepackage[usenames,dvipsnames,svgnames,table,x11names]{xcolor}
\usepackage{tikz}
\usetikzlibrary{angles,arrows,calc,chains,intersections,through,backgrounds,patterns,positioning,quotes,decorations}

\begin{document}

\begin{tikzpicture}
    \coordinate (ORG) at (0.00, 0.00);
        \fill[red] (ORG) circle (2pt) node[above left] {O};

    \coordinate (A) at (1.00, 2.00);
    \fill[red] (A) circle (2pt) node[above left] {A};
    \draw[blue, line width=1.50pt] (A) -- +(45:2);

    \coordinate (B) at (45:4); %+(45:2)
    \fill[magenta] (B) circle (3pt);
    \fill[magenta] (B) circle (3pt) node[above right] {B};
\end{tikzpicture}

\end{document}

答案1

这是一个解决方案

\documentclass{standalone}
\usepackage[usenames,dvipsnames,svgnames,table,x11names]{xcolor}
\usepackage{tikz}
\usetikzlibrary{angles,arrows,calc,chains,intersections,through,backgrounds,patterns,positioning,quotes,decorations}

\begin{document}

\begin{tikzpicture}
    \coordinate (ORG) at (0.00, 0.00);
        \fill[red] (ORG) circle (2pt) node[above left] {O};

    \coordinate (A) at (1.00, 2.00);
    \fill[red] (A) circle (2pt) node[above left] {A};
    \draw[blue, line width=1.50pt] (A) -- +(45:2)coordinate(B);

    \fill[magenta] (B) circle (3pt);
    \fill[magenta] (B) circle (3pt) node[above right] {B};
\end{tikzpicture}

\end{document}

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