对应图片内容生成讲解---**Question 15:** **(3分)** **Question Stem:** 如图, 在 Rt△ABC 中, ∠ACB=90°, CA=CB=3, 线段 CD 绕点 C 在平面内旋转, 过点 B 作 AD 的垂线, 交射线 AD 于点 E. 若 CD=1, 则 AE 的最大值为 _______, 最小值为 _______. **Translation of Question Stem:** As shown in the figure, in Rt△ABC, ∠ACB=90°, CA=CB=3. Segment CD rotates around point C in the plane. A perpendicular line is drawn from point B to AD, intersecting ray AD at point E. If CD=1, then the maximum value of AE is _______, and the minimum value is _______. **Diagram Description:** * **Type:** Geometric figure. * **Elements:** * A right-angled triangle ABC, with the right angle at C. * Vertices are labeled A, B, C. * Sides CA and CB are shown as equal in length. * A segment CD is drawn from C to a point D somewhere within the triangle or outside, depending on the rotation. * A line segment or ray AD is shown connecting A and D. * A point E is marked on the ray AD. * A line segment BE is drawn from B to E. * There is a right angle symbol at C, indicating ∠ACB = 90°. * There is a right angle symbol at E, indicating BE ⊥ AD. * Point D is shown inside triangle ABC in the fixed figure, but the problem states CD rotates around C. Point E is shown on the ray AD. **Given Information:** * △ABC is a right-angled triangle. * ∠ACB = 90°. * CA = CB = 3. * CD rotates around C. * BE ⊥ AD, where E is on ray AD. * CD = 1. **To Find:** * Maximum value of AE. * Minimum value of AE. **Options:** (No options provided, fill-in-the-blank question)