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+\begin{tikzpicture}[scale=1.25]
+ \tkzInit \tkzClip
+ \tkzDefPoint(0,1){A} \tkzDefPoint(6,3){B} \tkzDefPoint(3,6){C}
+ \tkzDrawLines[add= 0 and .3](A,B A,C)
+ \tkzDefLine[bisector](B,A,C) \tkzGetPoint{a}
+ \tkzDrawLine[add=0 and 0,color=magenta!50 ](A,a)
+ \tkzDefPointBy[homothety=center A ratio .5](a) \tkzGetPoint{a'}
+ \tkzDefPointBy[projection = onto A--B](a') \tkzGetPoint{k}
+ \tkzDrawSegment[blue](a',k)
+ \tkzDrawPoints(a,a',k,A)
+ \tkzDrawCircle(a',k)
+ \tkzLabelPoints(a,a',k,A)
+\end{tikzpicture}