解题方法
1 . 在四面体
中,平面
平面
,
是直角三角形,
,则二面角
的正切值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b027ed57b9c6f24e27ec0ae282c76efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae054a3f7c399dc5125ed094fd464dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a438393ddfc7da1804baf4932442bb35.png)
您最近一年使用:0次
名校
2 . 已知三棱锥
中,
为等边三角形,
,
,
,
,则三棱锥的外接球的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a15a004f7d47ed595f063e60075223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967f74b8993c61634ceed95edca05ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff008bf9d674fee28e3b4514d0b1c83.png)
您最近一年使用:0次
名校
解题方法
3 . 三棱锥
中,
是边长为
的正三角形,
, 若三棱锥的体积为
,则
长度的最小值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307d38cc7012c328f1f22aa793fe76d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
您最近一年使用:0次
4 . 已知四棱锥
的底面
为矩形,其中
,点
平面
,点M,N分别在线段
,
上(不含端点位置),其中
,则四面体
的体积最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e887b428c53c47d35413fa5d09b12c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51daa3ead4877292c14136da74895bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ee6360d6e027611421aa0cbefb8bc2.png)
您最近一年使用:0次
2024-06-10更新
|
247次组卷
|
3卷引用:安徽省鼎尖名校联盟2024届高三下学期5月第三次联考数学试卷
5 . 如图,由直三棱柱
和四棱锥
构成的几何体中,
,则该几何体的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b3e8bee41beb61f3c4afdc554cb455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee978f544d165f5d08720eb06f7bdaf.png)
您最近一年使用:0次
6 . 现将一个高为4,体积为
的圆柱削成一个空间几何体ABCD,其中棱AB,CD分别为圆柱上、下底面上相互垂直的两条直径,则被削去部分的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a39dce3f1e36dbe01293c309816968.png)
您最近一年使用:0次
名校
解题方法
7 . 在正方体
中,
为
的中点,
在棱
上,且
,则过
且与
垂直的平面截正方体
所得截面的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a08d59ea2e73af215bf92327025c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec192a6452e81cbb9fb336271aac60fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
您最近一年使用:0次
8 . 在边长为4的正方形ABCD中,如图1所示,E,F,M分别为BC,CD,BE的中点,分别沿AE,AF及EF所在直线把
和
折起,使B,C,D三点重合于点P,得到三棱锥
,如图2所示,则三棱锥
外接球的表面积是_________ ;过点M的平面截三棱锥
外接球所得截面的面积的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b243cad6d4bb5f76151db1a8bc94c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5a0a6e5b3f489a7032ea5116c96024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b115316e0fcd2ef46a4dd383472996e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b115316e0fcd2ef46a4dd383472996e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b115316e0fcd2ef46a4dd383472996e4.png)
您最近一年使用:0次
名校
9 . 四棱锥
中,底面
为矩形,
,四条侧棱长度均相等.若平面
平面
,则该四棱锥的高为__________ ;二面角
的余弦值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258434229ab23f63b62d849429b38f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
您最近一年使用:0次
解题方法
10 . 如图,在平行四边形中,
,
,且EF交AC于点G,现沿折痕AC将
折起,直至满足条件
,此时EF的长度为
您最近一年使用:0次