解答这个题目,生成详细的讲解视频---```plain text
1. 本小题满分 12 分) (注意: 在试题卷上作答无效)
如图, 四棱锥 S-ABCD 中, SD⊥底面 ABCD, AB//DC, AD⊥DC, AB=AD=1, DC=SD=2, E 为棱 SB 上的一点, 平面 EDC⊥平面 SBC .
(I) 证明: SE=2EB;
(II) 求二面角 A-DE-C 的大小.
Chart Description:
Type: Geometric figure (Pyramid).
Main Elements:
- Vertices: S (apex), A, B, C, D (base), E (on edge SB).
- Base ABCD is a quadrilateral.
- SD is shown as the height from S to the base, represented by a dashed vertical line.
- Edges SA, SB, SC, AB, BC, CD, DA. Edges SD, AD, DC, AB are partially or fully dashed.
- Point E is on edge SB.
- Lines DE and EC are drawn, forming plane EDC.
- The figure represents a right pyramid with a quadrilateral base.
- The text describes the base ABCD as a trapezoid with AB parallel to DC and AD perpendicular to DC. Given lengths are AB=AD=1, DC=2, and height SD=2. E is a point on SB.
- The diagram visually shows the spatial arrangement of the points and edges described.
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