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dsProject/dsLightRag/Util/GGB/extracted/5364f0a1de04d3446aa256b775236575/ocr_result.md
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1.已知三棱柱 $A B C-A_{1} B_{1} C_{1}$ , $A A_{1} \perp$ 底面 $A B C$ , $A B=A C=A A \, , \, \, \, \, A B \perp A C$ . $D$ 为线段 $A C$ 的中点。
1证明 $B_{1} C / /$ 平面 $B A_{1} D$ ;
2平面 $A_{1} B D$ 把三棱柱分成了两部分,求三棱锥 $A-A_{!} B D$ 和剩下部分几何体的体积比.