如图,在四棱锥S-ABCD种中,底面ABCD是直角梯形,AD垂直于AB和DC,侧棱SA⊥底面ABCD且SA=2,AD=DC=1,点E在SD上,且AE⊥SD ①证明AE⊥平面SDC ②求三棱锥B-ECD的体积
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![如图,在四棱锥S-ABCD种中,底面ABCD是直角梯形,AD垂直于AB和DC,侧棱SA⊥底面ABCD且SA=2,AD=DC=1,点E在SD上,且AE⊥SD ①证明AE⊥平面SDC ②求三棱锥B-ECD的体积](/uploads/image/z/2753622-54-2.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%9B%9B%E6%A3%B1%E9%94%A5S-ABCD%E7%A7%8D%E4%B8%AD%2C%E5%BA%95%E9%9D%A2ABCD%E6%98%AF%E7%9B%B4%E8%A7%92%E6%A2%AF%E5%BD%A2%2CAD%E5%9E%82%E7%9B%B4%E4%BA%8EAB%E5%92%8CDC%2C%E4%BE%A7%E6%A3%B1SA%E2%8A%A5%E5%BA%95%E9%9D%A2ABCD%E4%B8%94SA%3D2%2CAD%3DDC%3D1%2C%E7%82%B9E%E5%9C%A8SD%E4%B8%8A%2C%E4%B8%94AE%E2%8A%A5SD+%E2%91%A0%E8%AF%81%E6%98%8EAE%E2%8A%A5%E5%B9%B3%E9%9D%A2SDC+%E2%91%A1%E6%B1%82%E4%B8%89%E6%A3%B1%E9%94%A5B-ECD%E7%9A%84%E4%BD%93%E7%A7%AF)
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