求解---【2025浙江中考数学T24】 已知菱形ABCD, AB=5, AC=8
(1) 求sin∠CAB的值.
(2) E是AD延长线上一点, 将△EAB沿EB翻折到△EFB. 延长AC交EF于点P, 连接BP
① 若AP⊥EF, 求AE的长;
② 求PA-PB的最小值.
**Diagram Description:**
* **Type:** Geometric diagram.
* **Elements:**
* Points labeled: A, B, C, D, E, F, P.
* Lines and Segments: AB, BC, CD, DA (forming rhombus ABCD), AC, EB, FB, EF, BP, AP, CP.
* Point E is on the extension of line segment AD.
* Point P is the intersection of line segment AC and line segment EF.
* Triangle EFB is a reflection of triangle EAB across line EB.
* The rhombus ABCD is shown with vertex A on the bottom left and vertex B on the bottom right. D is roughly above and to the left of A, and C is roughly above and to the right of B.
* Line AC is a diagonal of the rhombus.
* Lines EB and FB are shown, forming triangle EFB.
* Line segment EF is shown.
* Line segment BP is shown.