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如图,三棱柱 A B C - A 1 B 1 C 1 中, C A = C B , A B = A A 1 , ∠ B A A 1 = 60 ° .
(Ⅰ)证明: A B ⊥ A 1 C ; (Ⅱ)若 A B = C B = 2 , A 1 C = 6 ,求三棱柱 A B C - A 1 B 1 C 1 的体积.
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