生成视频解答图片上这道题---**Question Information:** * **Question Number:** 例5 * **Question Title:** 一题多解法 * **Question Stem:** 如图,在平行四边形ABCD中,BE平分∠ABC,CE⊥BE,若AE=2,求BC的长. * **Question Translation:** As shown in the figure, in parallelogram ABCD, BE bisects ∠ABC, CE⊥BE, if AE=2, find the length of BC. **Diagram Description:** * **Type:** Geometric figure. * **Main Elements:** * **Shape:** Parallelogram ABCD. * **Points:** Labeled points A, B, C, D, E. * **Lines:** * Line segments forming the sides of the parallelogram: AB, BC, CD, DA. * Line segment BE, originating from B and ending at E on AD. * Line segment CE, originating from C and ending at E on AD. * **Angles:** * ∠ABC is an angle of the parallelogram. * BE bisects ∠ABC, meaning it divides the angle into two equal parts. * CE is perpendicular to BE, indicated by CE⊥BE, suggesting a right angle at the intersection point or along the line BE. The diagram shows CE and BE meeting at point E, and the condition is CE⊥BE. This means ∠BEC is a right angle. * **Relative Position:** * E is a point on the side AD of the parallelogram. * A, E, D are collinear, lying on the side AD. E is between A and D. * **Labels:** Points A, B, C, D, E are labeled. The diagram is labeled "例5 题图" (Example 5 Diagram). * **Given Length:** The length of AE is given as 2. **Other Relevant Text:** * "如图" (As shown in the figure) * "在平行四边形ABCD中" (In parallelogram ABCD) * "BE平分∠ABC" (BE bisects ∠ABC) * "CE⊥BE" (CE is perpendicular to BE) * "若AE=2" (If AE=2) * "求BC的长" (Find the length of BC)