Question 3 Divide the length and width of the rectangle into 11 equal parts and 13 equal parts.
【Analysis】In the figure, $E$ and $F$ are the midpoints of sides $AB$ and $AD$ respectively, and points $G$ and $H$ are the trisection points of side $BC$. Connecting $FG$ and $FH$ intersect $ED$ at points $N$ and $M$ respectively.
Then $FN: FG = 3: 11, FM: FH = 3: 13$.
【Conclusion】If the length and width of rectangle $ABCD$ (or square) are to be divided into $2n-1$ equal parts and $2n+1$ equal parts respectively, the midpoints of sides $AD$ and $AB$ are $F$ and $E$ respectively, and connect $DE$; on side $BC$, mark $BG = CH = \left(\frac{n-2}{2n}\right) BC$, connect $FG$ and $FH$, and their intersections with $ED$ are points $N$ and $M$ respectively. Then