3. As shown in Figure 1, extend the sides $AB$ and $DC$ of quadrilateral $ABCD$ to meet at point $E$, and extend sides $BC$ and $AD$ to meet at point $F$. $AC$ intersects $EF$ at $X$, and $BD$ intersects $EF$ at $Y$. The relationship between $\frac{E X}{X F}$ and $\frac{E Y}{Y F}$ is ( ).
(A) $\frac{E X}{X F}>\frac{E Y}{Y F}$
(B) $\frac{E X}{X F}=\frac{E Y}{Y F}$
(C) $\frac{E X}{X F}<\frac{E Y}{Y F}$
(D) Cannot be determined
3. B.

Notice that $\frac{E X}{X F}=\frac{S_{\triangle A B C}}{S_{\triangle A F C}}=\frac{S_{\triangle E C}}{S_{\triangle E C F}} \cdot \frac{S_{\triangle B C F}}{S_{\triangle A F C}}$ $=\frac{A D}{D F} \cdot \frac{E B}{B A}=\frac{S_{\triangle A B D}}{S_{\triangle B B F}} \cdot \frac{S_{\triangle B D E}}{S_{\triangle A B D}}=\frac{S_{\triangle B D E}}{S_{\triangle B D F}}=\frac{E Y}{Y F}$.