怎么解这道题?---```plain
Problem 25. (Total score 14 points, where part (1) is 9 points, sub-part ① is 4 points, ② is 5 points, part (2) is 5 points)
Question Stem:
As shown in Figure 9, in parallelogram ABCD, points E, F are points on sides BC, CD respectively.
(1) If E is the midpoint of BC;
① If AE = EF, prove: ∠BAE = ∠EFC;
② If CF = DF, connect BF intersecting AE at G, find the value of S△BEG : S△AEF;
(2) As shown in Figure 10, if AB=3, AD=5, CF=1, ∠AEB = ∠AFE = ∠EFC, find the length of AF.
Figure 9 Description:
Type: Geometric figure (Parallelogram).
Main Elements:
- Parallelogram ABCD. Vertices A, B, C, D are labeled in counter-clockwise order.
- Point E is on side BC.
- Point F is on side CD.
- Line segments connecting A to E, A to F, E to F, and B to F are drawn.
- The figure is labeled "图9" (Figure 9) below it.
Figure 10 Description:
Type: Geometric figure (Parallelogram).
Main Elements:
- Parallelogram ABCD. Vertices A, B, C, D are labeled in counter-clockwise order.
- Point E is on side BC.
- Point F is on side CD.
- Line segments connecting A to E, A to F, E to F, and B to F are drawn.
- The figure is labeled "图10" (Figure 10) below it.
- The relative positions of E and F appear different from Figure 9. E seems closer to B and F seems closer to D in this figure compared to Figure 9 (based on visual inspection and assuming Figure 9 corresponds to the conditions in part 1).
Other Relevant Text:
- "S△BEG" represents the area of triangle BEG.
- "S△AEF" represents the area of triangle AEF.
- Units for lengths (AB, AD, CF) are implied to be consistent but not explicitly stated.
- Units for angles are implied to be degrees or radians but not explicitly stated.
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