1 . 已知某圆柱的轴截面是面积为4的正方形,则该圆柱的侧面积为__________ ,该圆柱的内切球的体积为__________ .
您最近一年使用:0次
2 . 西流湖公园今年春天成为了网红打卡地,公园里不仅有美丽的景色,各种亭台楼阁也是各有特色.十字歇山顶是中国古代建筑屋顶的经典样式之一,图1中的角楼的顶部即为十字歇山顶.其上部可视为由两个相同的直三棱柱交叠而成的几何体(图2).这两个直三棱柱有一个公共侧面
.在底面
中,若
,
,则该几何体的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbbf9291bb1b41ee3bf0d41f81f51dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ee8de2d272e8a3cad423ef206cd7eb.png)
A.88 | B.![]() | C.64 | D.![]() |
您最近一年使用:0次
解题方法
3 . 在长方体
中,
,
,
,则该长方体的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4626aa882c330ecf87143e8e742c8591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
A.204 | B.200 | C.196 | D.192 |
您最近一年使用:0次
2024-06-03更新
|
416次组卷
|
3卷引用:河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考测试(三)(6月)数学试题
河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考测试(三)(6月)数学试题安徽省亳州市涡阳县蔚华中学2023-2024学年高一下学期第二次月考数学试题(已下线)6.6.1-2 柱、锥、台的表面积和体积-同步精品课堂(北师大版2019必修第二册)
名校
4 . 如图所示,水平放置的
用斜二测画法画出的直观图为
,其中
,
,那么
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b2e248df7240bb3140bba2777e5a302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07f9c771366e6e618beb4f875e636c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.等边三角形 | B.等腰直角三角形 |
C.钝角三角形 | D.三边互不相等的三角形 |
您最近一年使用:0次
名校
解题方法
5 . 已知棱长为2的正方体
中,动点
在棱
上,记平面
截正方体所得的截面图形为
,平面
与线段AD的交点为N,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a0a3bb566b5d2404e4bb823abddfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
A.平面![]() ![]() | B.不存在点![]() ![]() ![]() |
C.直线![]() ![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
6 . 在梯形
中,
,
是线段
上一点,
,
,
,
,把
沿
折起至
,连接
使得平面
平面
.
平面
;
(2)求异面直线
与
所成的角;
(3)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bdb3995265a321989202ff01001013d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b08daf5a6880ff23085d10a8b51823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb048f5765a7187c85e304089baf0eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51600ff4d6e109bf0288b2ea2e7fc92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235d1553f6806c1eee3b17b94d23f0f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bfad3f7e65188bcf7f62ea5acdbf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c34b18525831f3eda7bb90be0199b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e6629d0e1a4ce3fe4f0345f6961473.png)
您最近一年使用:0次
名校
解题方法
7 . 已知矩形
,
,
,沿
将
折起成
.若点
在平面
上的射影落在
内部,则四面体
的体积取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea25ef38e4afa8f75ffd0842890289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc84671fd0f27587260cdbcc31e6d483.png)
您最近一年使用:0次
8 . 底面边长为6的正四棱锥被平行于其底面的平面所截,截去一个底面边长为3,高为3的正四棱锥,所得棱台的体积为________ .
您最近一年使用:0次
名校
解题方法
9 . 如图,圆柱
的底面半径为1,侧面积为
,
,
分别是圆柱上、下底面圆的一条直径,且点
在下底面的投影点
平分圆弧
.
的表面上,求球
的表面积;
(2)求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)求四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2024-05-23更新
|
566次组卷
|
3卷引用:河南省信阳高级中学2023-2024学年高一下学期5月期中考试数学试题
名校
10 . 下列说法正确的是( )
A.底面是正多边形的棱锥是正棱锥 |
B.长方体是平行六面体 |
C.用一个平面去截圆柱,所得截面一定是圆形或矩形 |
D.用一个平面去截圆锥,截面与底面之间的部分是圆台 |
您最近一年使用:0次
2024-05-12更新
|
443次组卷
|
2卷引用:河南省郑州外国语学校2023-2024学年高一下学期期中考试数学试题