(本小题满分12分)
如图,斜三棱柱ABC-A1B1C1的侧面AA1C1C是面积为的菱形,∠ACC1为锐角,侧面ABB1A1⊥侧面AA1C1C,且A1B=AB=AC=1.
(1)求证:AA1⊥BC1;
(2) 求三棱锥A1-ABC的体积.
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(本小题满分12分)
如图,斜三棱柱ABC-A1B1C1的侧面AA1C1C是面积为的菱形,∠ACC1为锐角,侧面ABB1A1⊥侧面AA1C1C,且A1B=AB=AC=1.
(1)求证:AA1⊥BC1;
(2) 求三棱锥A1-ABC的体积.