是否能生成解题视频 谢谢---**Textual Information:** 如图,在四边形 ABCD 中,AD=BC, E、F 分别是 AB 和 CD 的中点.AD、EF、BC 的延 长线分别交于 M、N 两点. 求证: ∠AME = ∠BNE。 (第 2 题) **Mathematical Formulas/Equations:** AD=BC ∠AME = ∠BNE **Chart/Diagram Description:** * **Type:** Geometric figure. * **Main Elements:** * **Points:** Points A, B, C, D form a quadrilateral. E is located on AB. F is located on CD. Point M is located above and to the left of the quadrilateral, on the extension of AD and EF. Point N is located above and to the right of the quadrilateral, on the extension of BC and EF. * **Lines:** Line segments forming the quadrilateral ABCD. Line segment EF connecting points E and F. Lines AD, EF, and BC are extended. The extension of AD and EF intersect at M. The extension of BC and EF intersect at N. The extended line passing through E, F, M, and N appears to be a single straight line. * **Labels:** Points are labeled A, B, C, D, E, F, M, N. The question number "(第 2 题)" is labeled below the diagram. * **Relationships:** E is the midpoint of AB. F is the midpoint of CD. AD=BC is given. The line segment EF is drawn between the midpoints of two sides. The lines AD, EF, BC are extended to meet at M and N respectively. Specifically, line AD extended meets EF extended at M, and line BC extended meets EF extended at N. * **Angles:** The angles ∠AME and ∠BNE are formed by the intersecting lines. ∠AME is formed by the intersection of extended AD and extended EF. ∠BNE is formed by the intersection of extended BC and extended EF.