(1)图形必须居中。 (2)点Z
、X
和Y
应正确标记。 (请注意,这些点远离了它们应在的位置。
\documentclass[11pt,a4paper]{article}
\usepackage{blindtext}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetkzobj{all}
\usepackage{color}
\begin{document}
\normalsize{\textbf{Theorem 1.24.} \textit{The bisectors of the angles of a triangle meet in a point which is equally distant from the sides.}}
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){A}
\tkzDefPoint(12,0){B}
\tkzLabelPoints[below](A)
\tkzLabelPoints[below](B)
\tkzDrawSegment(A,B)
\tkzDefPoint(3,7){C}
\tkzLabelPoints[above](C)
\tkzDrawSegment(A,C)
\tkzDrawSegment(B,C)
\tkzDefLine[bisector](A,C,B)\tkzGetPoint{Z}
\tkzDrawSegment[add=0pt and -150pt](C,Z)
\tkzLabelPoints[xshift=-10pt](Z)
\tkzDefLine[bisector](C,A,B)\tkzGetPoint{Y}
\tkzDrawSegment[add=0pt and -280pt](A,Y)
\tkzLabelPoints[xshift=-10pt](Y)
\tkzDefLine[bisector](C,B,A)\tkzGetPoint{X}
\tkzDrawSegment[add=0pt and -280pt](B,X)
\tkzLabelPoints[xshift=-10pt](X)
\end{tikzpicture}
\end{center}
\end{document}
答案1
我已经有一个初始版本,但根据评论,意图是另一个。无论如何,我决定在这里包含两个版本:
\documentclass[11pt,a4paper]{article}
\usepackage{tkz-euclide}
\usetkzobj{all}
\begin{document}
\begin{center}
\begin{tikzpicture}[scale=0.75]
\tkzDefPoint(0,0){A}
\tkzDefPoint(12,0){B}
\tkzLabelPoints[below](A)
\tkzLabelPoints[below](B)
\tkzDrawSegment(A,B)
\tkzDefPoint(3,7){C}
\tkzLabelPoints[above](C)
\tkzDrawSegment(A,C)
\tkzDrawSegment(B,C)
\tkzDrawBisector[dashed,draw=gray](C,B,A)
\tkzGetPoint{X}
\tkzLabelPoints[left](X)
\tkzDrawBisector(A,C,B)
\tkzGetPoint{Z}
\tkzLabelPoints[below](Z)
\tkzDrawBisector(C,A,B)
\tkzGetPoint{Y}
\tkzLabelPoints[above right](Y)
\tkzInterLL(A,Y)(C,Z)
\tkzGetPoint{P}
\tkzLabelPoints[left](P)
\tkzDrawSegment[add=0pt and -20pt](B,P)
\end{tikzpicture}
\end{center}
\begin{center}
\begin{tikzpicture}[scale=0.75]
\clip
(-1,-3) rectangle (13,8);
\tkzDefPoint(0,0){A}
\tkzDefPoint(12,0){B}
\tkzLabelPoints[below](A)
\tkzLabelPoints[below](B)
\tkzDrawSegment(A,B)
\tkzDefPoint(3,7){C}
\tkzLabelPoints[above](C)
\tkzDrawSegment(A,C)
\tkzDrawSegment(B,C)
\tkzDefLine[bisector](A,C,B)
\tkzGetPoint{Z}
\tkzDrawSegment[add=0pt and -150pt](C,Z)
\tkzDefLine[bisector](B,A,C)
\tkzGetPoint{Y}
\tkzDrawSegment[add=0pt and -320pt](A,Y)
\tkzDefLine[bisector](C,B,A)
\tkzGetPoint{X}
\tkzDrawSegment[add=0pt and -300pt](B,X)
\tkzInterLL(A,Y)(C,Z)
\tkzGetPoint{P}
\tkzLabelPoints[left](P)
\tkzLabelLine[pos=0.65](C,Z){Z}
\tkzLabelLine[pos=0.40](B,X){X}
\tkzLabelLine[pos=0.50](A,Y){Y}
\end{tikzpicture}
\end{center}
\end{document}
结果: