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 Coloring Page

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 Template

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tomski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 coloring

求棱长为a的正四面体的内切球、棱切球的半径 百度教育 sketch template

高中数学：几何体表面积与体积的教学设计知乎 sketch template

2．求棱长为a的正四面体外接球的半径．百度教育 sketch template

深入浅出数学系列立体几何（4）：球的切接问题（上）知乎 sketch template

一个正四面体的各条棱长都是a那么这个正四面体的高百度经验 sketch template

如图，正四面体的长为1，， 则． sketch template

7．如图正四面体的棱长均为且平面于A点BCD均在平面外且在平面同一侧则点B到平面的距离是 A． B． C． D．——青夏教育精英 sketch template

求棱长为a的正四面体的外接球与内切球的半径．题目和参考答案——青夏教育精英家教�—— sketch template

深入浅出数学系列立体几何（3）：正四面体的性质知乎 sketch template

正四面体ABCD棱长为2，E、F分别为BC、AD中点，则EF的长为 百度教育 sketch template

在棱长为a的正四面体中，相对两条棱间的距离为 百度教育 sketch template

已知任意一个四面体的六条棱长，如何求出其体积？知乎 sketch template

求棱长为a的正四面体的外接球和内切球的半径 解析如图作AH⊥底面BCD于H则AH＝a设内切球的球心为O半径为rO点与ABC sketch template

正四面体棱切球图示千图� sketch template

已知任意一个四面体的六条棱长，如何求出其体积？知乎 sketch template

正四面体一个顶点处的立体角是多大？知乎 sketch template

如图四面体ABCD的每条棱长都等于2点EF分别为棱ABAD的中点则AB BC= BC EF= EF与AC所成的角为 sketch template

求棱长为a的正四面体的外接球和内切球的半径 解析如图作AH⊥底面BCD于H则AH＝a设内切球的球心为O半径为rO点与ABC 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

已知菱形的边长为2，将沿折起，使得点至点的位置，得到四面体当二面角的大小为120°时，四面体的体积为；当四面体的体积为1时，以为球心，的长 sketch template

已知正四面体ABCD的棱长为3cm．1已知点E是CD的中点点P在 ABC的内部及边界上运动且满足EP∥平面ABD试求点P的轨迹2 sketch template

棱长为2的正四面体的四个顶点都在同一个球面上若过该球球心的一个截面如图1则图中三角形的面积是 A． B． C． D．题目和参考答案——青 sketch template

16．过正四面体外接球球心的平面截正四面体所得截面如图所示——青夏教育精英家教�—— sketch template

任意四面体的外接球半径公式知乎 sketch template

正四面体ABCD中MN分别是棱BCAD的中点则异面直线AMCN所成角的余弦值为 A 23B14C23D 14 题目和 sketch template

已知正四面体的棱长为a．1求正四面体的高2求正四面体内切球的半径和体积．题目和参考答案——青夏教育精英家教�—— sketch template

仔细观察下面的正四面体正六面体正八面体解决下列问题1填空�正四面体的顶点数V= 面数F= 棱数E= ．�正六面体的顶点数V sketch template

正四面体体积基本概况文档 sketch template

已知正四面体ABCD的棱长为1求1该四面体的内切球的表面积2与该四面体各条棱均相切的球的体积3该四面体的外接球上AB两点间 sketch template

仔细观察下面的正四面体正六面体正八面体解决下列问题1填空�正四面体的顶点数V= 面数F= 棱数E= ．�正六面体的顶点数V sketch template

深入浅出数学系列立体几何（4）：球的切接问题（上）知乎 sketch template

3 正四面体的外接球 sketch template

深入浅出数学系列立体几何（4）：球的切接问题（上）知乎 sketch template

已知正四面体ABCD的棱长为2，所有与它的四个顶点距离相等的平面截这个四面体所得截面的面积之和是（）A．3 3B．4C．3D．3 百度教育 sketch template

两个相同的正四棱锥底面重合组成一个八面体可放于棱长为1的正方体中重合的底面与正方体的某一个面平行各顶点均在正方体的表面上把满足上述条件 sketch template

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