1 . 如图,某几何体的下部分是长、宽均为8,高为3的长方体,上部分是侧棱长都相等且高为3的四棱锥,求:
(2)若要将几何体下部分表面刷上涂料(除底面),求需要刷涂料的表面积.
(2)若要将几何体下部分表面刷上涂料(除底面),求需要刷涂料的表面积.
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2023-09-21更新
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7卷引用:贵州省黄平县且兰高级中学2023-2024学年高二上学期第一次月考数学试题
贵州省黄平县且兰高级中学2023-2024学年高二上学期第一次月考数学试题新疆柯坪县柯坪湖州国庆中学2022-2023学年高二上学期12月月考数学试题上海市复兴高级中学2023-2024学年高二上学期期中数学试题8.3.1.2棱柱、棱锥、棱台的体积练习(已下线)专题8.10 立体几何初步全章十三大基础题型归纳(基础篇)-举一反三系列(已下线)模块三 专题5 大题分类练(空间几何体表面积和体积)(人教A版)(已下线)第8.3.1讲 棱柱、棱锥、棱台的表面积和体积-同步精讲精练宝典(人教A版2019必修第二册)
名校
2 . 如图所示,在三棱锥
中,
是边长为
的正三角形,且平面
平面
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/0703cf7b-76f2-4495-9a38-508b4a41dfe7.png?resizew=167)
(I)求证:
平面
;
(II)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2aaed1e9ead175f30f7130569d0411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f406965e1a56b161ff7b61f3c8bbf9ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566866c39352ba27f4179ac1f3a20c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948de7780b28259851afba4995019d28.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/0703cf7b-76f2-4495-9a38-508b4a41dfe7.png?resizew=167)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8acde6a4543f7c7dc745c542cda311b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d39f37441ee55dbc8f1a6ca199a66b.png)
(II)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da035673ef0edcfae6b72fb5e5ba34a.png)
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2019-04-01更新
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2卷引用:贵州省凯里市第一中学2019届高三下学期模拟考试《黄金卷二》数学(文)试题
名校
解题方法
3 . 在直三棱柱
中,
,延长
到
,使
,连结
,得到多面体
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/18/c0649f53-6fe9-4239-8690-7a9b86cb856b.png?resizew=240)
(1)证明:
平面
;
(2)若
,
,求多面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ddd49625097d0a78df7170be4f882e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa265e6bf764ba99120bf8858fc29cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b1dd0fbfc62602b496a1ddce721d94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/18/c0649f53-6fe9-4239-8690-7a9b86cb856b.png?resizew=240)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504a36c231b8e80724d01649e7c0944f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee3d1518e197f7f25c341da6b1e3483.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58899f5c3638f1e32274137723f99836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92105835f8075cb75dff244e908370b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b1dd0fbfc62602b496a1ddce721d94.png)
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2017-06-18更新
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2卷引用:贵州省凯里市第一中学2016-2017学年高二下学期自主学习效果检测数学(文)试题