如圖,已知邊長為
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的正三角形
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中,
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、
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分別為
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和
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的中點,
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面
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,且
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,設(shè)平面
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過
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且與
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平行。 求
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與平面
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間的距離?
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設(shè)
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、
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、
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的單位向量分別為
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、
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、
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,選取{
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,
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,
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}作為空間向量的一組基底。易知
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,
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=
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=
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=
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,
設(shè)
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是平面
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的一個法向量,則
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,
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,即
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,
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直線
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與平面
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間的距離
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=
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如題(19)圖,在四棱錐
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中,
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且

;平面
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
平面
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,
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;
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為
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
。求:
(Ⅰ)點
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
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
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
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已知
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,
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,
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上,若
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的面積為
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分別過點

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