\begin{tikzpicture}
 \tkzDefPoints{0/0/A,2/2/B,-1/-1/C}
 \tkzDefCircle[through=](A,C)
 \tkzGetLength{rAC}
 \tkzDrawCircle(A,C)
 \tkzDrawCircle(A,B)
 \tkzDefRandPointOn[rectangle=A and B]
 \tkzGetPoint{a}
 \tkzDefRandPointOn[segment=A--B]
 \tkzGetPoint{b}
 \tkzDefRandPointOn[circle=center A radius \rAC pt]
    \tkzGetPoint{d}
 \tkzDefRandPointOn[circle through= center A through B]
     \tkzGetPoint{c}
 \tkzDefRandPointOn[disk through=center A through B]
     \tkzGetPoint{e}
 \tkzLabelPoints[above right=3pt](A,B,C,a,b,...,e)
 \tkzDrawPoints[](A,B,C,a,b,...,e)
 \tkzDrawRectangle(A,B)
\end{tikzpicture}