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A佳教育·2023年11月高三联考数学试卷答案

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分析在正方体AC₁中，列举出与面ABCD的对角线AC异面的所有的棱，由此能求出结果．

解答解：如图，在正方体AC₁中，与面ABCD的对角线AC异面的棱有：
BB₁，DD₁，A₁B₁，A₁D₁，D₁C₁，B₁C₁，
共6条．
故答案为：6．

点评本题考查正方体中与面对角线异面的棱的条数的判断，是基础题，解题时要认真审题，注意正方体的性质的合理运用．