在正方形ABCD中，E为CD边中点，连接AE，对角线BD交AE于点F，已知EF = 1，则线段AE的长度为（\quad）---**Image Description:** The image contains a geometric figure. * **Type:** Geometric diagram. * **Main Elements:** * A quadrilateral ABCD, appearing to be a square, with vertices labeled A, B, C, D in counterclockwise order. * A diagonal line segment BD connecting vertex B and vertex D. * A point E is located on the side CD. * A line segment AE connects vertex A to point E. * The line segments BD and AE intersect at a point labeled F. * Labels A, B, C, D, E, F are positioned near the corresponding points. **Extracted Textual Content:** * No textual content such as a question stem, options, explanations, or formulas is present in the image. The image only contains the geometric diagram with labels.