请解决图片种描述问题---**Textual Information:** AC平分∠BAD，CE⊥AB，且∠B+∠D=180°，求证:AE=AD+BE. [Incomplete text below the diagram]: 将AD沿AC翻折到AB线上， **Chart/Diagram Description:** * **Type:** Geometric figure. * **Main Elements:** * **Points:** A, B, C, D, E. * **Lines:** * Line segment AD. * Line segment DC. * Line segment CB. * Line segment BA (or AB). * Line segment AC (diagonal). * Line segment CE. * Line segment EC. * **Shapes:** A quadrilateral ABCD is formed by segments AD, DC, CB, BA. A line segment CE is drawn from C to AB. Point E is on AB. * **Relative Position and Direction:** Point E is on the line segment AB, between A and B. CE is perpendicular to AB. AC is a diagonal dividing the angle at A.