请问如何证明：如果四面体的内切球与每个面的切点都是这个面的重心，那么这个四面体是正四面体？ 知乎 Sketch Coloring Page

请问如何证明：如果四面体的内切球与每个面的切点都是这个面的重心，那么这个四面体是正四面体？ 知乎 Template

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tomski请问如何证明：如果四面体的内切球与每个面的切点都是这个面的重心，那么这个四面体是正四面体？ 知乎 coloring

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如何证明任意四面体既有内切球又有外接球？ 知乎 sketch template

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有关立体几何的内切球、外接球的结论 知乎 sketch template

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如何证明任意四面体既有内切球又有外接球？ 知乎 sketch template

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如何证明任意四面体既有内切球又有外接球？ 知乎 sketch template

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球体与正四面体切接 知乎 sketch template

正四面体ABCD内接于半径为R的球O（即四个顶点在球面上），其内切球半径为r，（1）证明R＝3r （2）用R表百度知道 sketch template

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请问如何证明：如果四面体的内切球与每个面的切点都是这个面的重心，那么这个四面体是正四面体？ 知乎 sketch template

例4、正四面体的棱长为a，则其内切球和外接球的半径是多�体积是多�？练习：角度一直三棱柱的外接球1．2013辽宁高考已知直三棱柱 sketch template

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