名校
1 . 如图所示,有一个棱长为4的正四面体
容器,D是PB的中点,E是CD上的动点,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/e230b237-396b-4dc7-ad97-7986396d2f09.png?resizew=177)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/e230b237-396b-4dc7-ad97-7986396d2f09.png?resizew=177)
A.若E是CD的中点,则直线AE与PB所成角为![]() |
B.![]() ![]() |
C.如果在这个容器中放入1个小球(全部进入),则小球半径的最大值为![]() |
D.如果在这个容器中放入10个完全相同的小球(全部进入),则小球半径的最大值为![]() |
您最近一年使用:0次
2023-04-17更新
|
1443次组卷
|
5卷引用:安徽省安庆市桐城中学2023届高三下学期第二次模拟数学试卷
名校
解题方法
2 . 如图所示,一圆锥的底面半径为
,母线长为
,
为圆锥的一条母线,
为底面圆的一条直径,
为底面圆的圆心,设
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/4c1a6040-bc40-43ac-baec-840d48ccd8b2.png?resizew=119)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0bb340c121cf95271aeb0229c256af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/4c1a6040-bc40-43ac-baec-840d48ccd8b2.png?resizew=119)
A.过![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-04-13更新
|
1099次组卷
|
4卷引用: 安徽省安庆市怀宁县高河中学2022-2023学年高一下学期第三次月考数学试题
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解题方法
3 . 我们知道,在
中,
,若
为内切圆的圆心,则由
得到,
内切圆的半径
.将此结论类比到空间,得到:在三棱锥
中,
,
,则三棱锥
内切球的半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3ef4881bd7c5860178dbdbc7bba6e3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5dc3c15be47864978aeccce8bbae64b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cdfc4d6fb1528a35ecae1cf8628fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b41396d66e5b8550bd38c040ec62b32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4447931b753c487d1e8823aee7cc83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f5b535b3e9eccdad4d0515fb898b07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3ef4881bd7c5860178dbdbc7bba6e3.png)
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