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我想得到线段下的 alpha 角

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我想得到线段下的 alpha 角

我想获取三角形 ABC 下的角 alpha，我该怎么做？现在角部分在顶部可见。我还想将角的外部设为黑色。

在此处输入图片描述

\documentclass[10pt]{article}
\usepackage{pgfplots}
\usepackage{amsmath}
\usepackage{graphicx}  
\usepackage{textcomp}
\usepackage{mathtools} 
\usepackage{xcolor}
\usepackage{tabularx} 
\usepackage{pstricks-add}
\usepackage{pgfplots} 
\usepackage{background}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}[scale=0.65]
\tkzDefPoint(0,0){A},
\tkzDefPoint(4,2){B},
\tkzDefPoint(5,0){C},
\tkzDefPoint(-1,1.8){D},
\tkzDefPoint(-5,0){E},
\tkzDefPoint(1.5,1.9){O},
\tkzDrawPoints(A,B,C,D,E,O)
\tkzLabelPoints[below](A)
\tkzLabelPoints[right](B)
\tkzLabelPoints[right](C)
\tkzLabelPoints[below](E)
\tkzLabelPoints[above](O)
\tkzLabelSegment[above,font=\footnotesize](A,B){$4$}
\tkzLabelSegment[above,font=\footnotesize](A,C){$5$}
\tkzLabelSegment[right,font=\footnotesize](A,D){$2$}
\tkzLabelSegment[below,font=\footnotesize](A,E){$5$}
\draw[thick,black](0,0)--(-1,1.8)--(-5,0)--cycle;
\draw[thick,black](D)--(B)--cycle;
\draw[thick,black](0,0)--(4,2)--(5,0)--cycle;
\tkzDefCircle[circum](A,B,D)
\tkzGetPoint{O} \tkzGetLength{rayon}
\tkzDrawCircle[R,thick](O,\rayon pt)
\tkzMarkAngle[size=1cm,opacity=.7,black](C,A,B)
\tkzFillAngle[fill= blue!50,size=1cm,opacity=.7](C,A,B)
\tkzLabelAngle[pos=1.4](C,A,B){$\alpha$}
\node at (-1.4, 2.15) {$D$};
\end{tikzpicture}
\end{document}

答案1

只需在绘制所有内容之前放置\tkzFillAngle命令即可（但在定义点之后）。

tkz填充角度

\documentclass[10pt]{article}
\usepackage{pgfplots}
\usepackage{amsmath}
\usepackage{graphicx}  
\usepackage{textcomp}
\usepackage{mathtools} 
\usepackage{xcolor}
\usepackage{tabularx} 
\usepackage{pstricks-add}
\usepackage{pgfplots} 
\usepackage{background}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}[scale=0.65]
\tkzDefPoint(0,0){A},
\tkzDefPoint(4,2){B},
\tkzDefPoint(5,0){C},
\tkzDefPoint(-1,1.8){D},
\tkzDefPoint(-5,0){E},
\tkzDefPoint(1.5,1.9){O},

\tkzFillAngle[fill= blue!50,size=1cm,opacity=.7](C,A,B) % <--- Moved here

\tkzDrawPoints(A,B,C,D,E,O)
\tkzLabelPoints[below](A)
\tkzLabelPoints[right](B)
\tkzLabelPoints[right](C)
\tkzLabelPoints[below](E)
\tkzLabelPoints[above](O)
\tkzLabelSegment[above,font=\footnotesize](A,B){$4$}
\tkzLabelSegment[above,font=\footnotesize](A,C){$5$}
\tkzLabelSegment[right,font=\footnotesize](A,D){$2$}
\tkzLabelSegment[below,font=\footnotesize](A,E){$5$}
\draw[thick,black](0,0)--(-1,1.8)--(-5,0)--cycle;
\draw[thick,black](D)--(B)--cycle;
\draw[thick,black](0,0)--(4,2)--(5,0)--cycle;
\tkzDefCircle[circum](A,B,D)
\tkzGetPoint{O} \tkzGetLength{rayon}
\tkzDrawCircle[R,thick](O,\rayon pt)
\tkzMarkAngle[size=1cm,opacity=.7,black](C,A,B)
% Deleted from here
\tkzLabelAngle[pos=1.4](C,A,B){$\alpha$}
\node at (-1.4, 2.15) {$D$};
\end{tikzpicture}
\end{document}

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