解题方法
1 . 某几何体的三视图如图所示,则该几何体的体积为________ ,表面积为________ .
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968550020440064/2972047983452160/STEM/1e330a11-17fc-4660-868f-e9a34d18b914.png?resizew=253)
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解题方法
2 . 一个几何体的三视图如图所示,则此几何体的表面积是_________
;体积是_____ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33691e3419e3f8f9c2bc36d1627b7541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33691e3419e3f8f9c2bc36d1627b7541.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/dba0257f-f41c-4f98-9ad2-64f63cf0f45c.png?resizew=204)
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3 . 某四棱锥的三视图如图所示,该四棱锥的表面积是______ ,侧面与底面所成二面角的正切值为______ .
![](https://img.xkw.com/dksih/QBM/2021/6/1/2733223322804224/2760278163005440/STEM/b8713010605e42efa8b8633586bc12e5.png?resizew=190)
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4 . 如图,
的三边![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6ac54ec9c7b341a24932feb3502223.png)
,
分别是三边的中点,沿
将
折起,使得
重合于点
,则四面体
的表面积为_________ ;体积为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6ac54ec9c7b341a24932feb3502223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a67428c17b1d1e1acb3c3cce277c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384b5175ca2d34611a5cede5b6f0c308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0d1adedce5c3f55e99b53545867a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f107bd06ad6af2ff8d5aaa9ace12d9a0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/42e2bb09-bf29-4f1f-b19f-f02f98f51aa8.png?resizew=320)
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5 . 一个棱锥的三视图如图所示,则该棱锥的体积为_________ ,表面积为_________ .
![](https://img.xkw.com/dksih/QBM/2021/4/6/2694147688079360/2803165930790912/STEM/e2c54455086a4f70ac5273b8adc749ee.png?resizew=267)
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解题方法
6 . 已知某几何体是由一个三棱锥和一个四棱锥组合而成,其三视图如图所示(单位:
),则该几何体的体积为______
,表面积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6d1d99afa158b4ba4fc0dae562fcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://img.xkw.com/dksih/QBM/2021/3/24/2684823931043840/2684850872721408/STEM/a7ab44ad-f7dd-4419-9c41-1a057b262d93.png?resizew=392)
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2021-03-24更新
|
631次组卷
|
3卷引用:2021年浙江省新高考测评卷数学(第九模拟)
解题方法
7 . 如图所示,已知某几何体的三视图,则该几何体的体积是______ ,表面积为______ .
![](https://img.xkw.com/dksih/QBM/2022/4/6/2952476438814720/2952971541774336/STEM/59e310aa-3821-4042-a735-7d7e7b750dfc.png?resizew=213)
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解题方法
8 . 若某几何体的三视图(单位:
)如图所示,则此几何体的体积________
;表面积是________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6d1d99afa158b4ba4fc0dae562fcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://img.xkw.com/dksih/QBM/2021/3/1/2668712818286592/2669361839218688/STEM/1194f40d73894a3caf607c81ca0ee666.png?resizew=222)
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9 . 如图是一个几何体的三视图,根据图中的数据(单位:
).此几何体的表面积为______
;此几何体的体积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ccdc7aaa645c8bcc8978cda5479821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b77fcbd8001b946d98b01b7d4999ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/a4721448-4304-4056-ac40-4b1c64526720.png?resizew=170)
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2020高三·浙江·专题练习
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10 . 某几何体的三视图如图所示(单位:cm),则该几何体的表面积是_____ cm2,体积是____ cm3.
![](https://img.xkw.com/dksih/QBM/2020/12/1/2604673475698688/2610571544223744/STEM/9b904c1d3483451aaa3f5deb25fa2a15.png?resizew=174)
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