根据图片中的试题，给出讲解步骤和答案---**Question Stem:** 如图，在正方形ABCD中，点E，点F分别在边BC，AB上（点E不与点B，C重合），且 AF = BE.连接AC，DF交于点G，连接AE，BG交于点H.若 DF = 4GH, 则 DG/CG = _______. **Translation of Question Stem:** As shown in the figure, in square ABCD, points E and F are on sides BC and AB respectively (point E does not coincide with points B, C), and AF = BE. Connect AC, DF intersecting at point G, connect AE, BG intersecting at point H. If DF = 4GH, then DG/CG = _______. **Given Conditions:** * ABCD is a square. * E is on BC, E is not B or C. * F is on AB. * AF = BE. * G is the intersection of AC and DF. * H is the intersection of AE and BG. * DF = 4GH. **Question Asked:** Find the value of DG/CG. **Diagram Description:** * **Type:** Geometric figure, specifically a square with several intersecting line segments. * **Main Elements:** * A square labeled ABCD. The vertices are labeled A (likely top-left), B (likely bottom-left), C (likely bottom-right), and D (likely top-right). * A point F is marked on the side AB. * A point E is marked on the side BC. * The diagonal AC is drawn. * The line segment DF is drawn, intersecting AC at point G. * The line segment AE is drawn. * The line segment BG is drawn, intersecting AE at point H. * Points G and H are labeled at their respective intersection points. **Mathematical Formulas/Equations:** * AF = BE * DF = 4GH * Question: DG/CG = ?