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解题方法
1 . 如图,
两两垂直,过
作
,垂足为D.
![](https://img.xkw.com/dksih/QBM/2023/8/13/3301868646563840/3325189961097216/STEM/cb9d3a1d35874e64ae0fbb0392f4d504.png?resizew=202)
(1)求证:
平面
;
(2)设
,二面角
的平面角为
时,求三棱锥
侧面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aac2484f6092ccd71a733714718704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://img.xkw.com/dksih/QBM/2023/8/13/3301868646563840/3325189961097216/STEM/cb9d3a1d35874e64ae0fbb0392f4d504.png?resizew=202)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d59cdc4d6fa9e28e0d7ce6ea74833bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
您最近一年使用:0次
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解题方法
2 . 如图,三棱锥
中,
,
,
两两垂直,
,
,
分别是
,
的中点,
的面积为
,四棱锥
的体积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/18786fc0-1e66-480d-a19f-9a9d914146b6.png?resizew=170)
(1)若平面
平面
,求证:
;
(2)求三棱锥
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75764c506b7ff847a7960ed28371f49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/18786fc0-1e66-480d-a19f-9a9d914146b6.png?resizew=170)
(1)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd82d880985b1490bc5f4bb7fdee1cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baceb049bf16ed0fd33639fdda0ec5ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3237c82088b1ac0c5ba31b7714d5164b.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
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2021-10-15更新
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3 . 已知下列几何体三视图如图.
(2)求该几何体外接球的体积.
(2)求该几何体外接球的体积.
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2021-02-05更新
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538次组卷
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2卷引用:江西省南昌市第十九中学2021-2022学年高二下学期第一次月考数学试卷