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1 . 把正方体的表面沿某些棱剪开展成一个平面图形(如图),请根据各面上的图案判断这个正方体是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-02-15更新
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799次组卷
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4卷引用:安徽省宣城市泾县中学2021年强基夏令营选拔测试数学试题
安徽省宣城市泾县中学2021年强基夏令营选拔测试数学试题(已下线)8.1 基本立体图形1(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)浙江省温州市环大罗山联盟2022-2023学年高一下学期期中联考数学试题(已下线)专题3.1基本立体图形-重难点突破及混淆易错规避(人教A版2019必修第二册)
2 . 如图所示,用一个平行于圆锥底面的平面截这个圆锥,截得的圆台上、下底面的面积之比为1:16,截去的圆锥的底面半径是3
,圆锥
的高为24
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5c8ef519-d354-450e-ad83-d94fec41ead2.png?resizew=124)
(1)求圆台的母线长l.
(2)若该棱锥中有一内接正方体,试求正方体的棱长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5c8ef519-d354-450e-ad83-d94fec41ead2.png?resizew=124)
(1)求圆台的母线长l.
(2)若该棱锥中有一内接正方体,试求正方体的棱长.
您最近一年使用:0次
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3 . 设正四棱柱
的底面边长为1,高为2,平面
经过顶点
,且与棱
所在直线所成的角都相等,则满足条件的平面
共有( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af55b84645a6a98e36ad57c96938af8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.1 | B.2 | C.3 | D.4 |
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2021-05-28更新
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272次组卷
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4卷引用:上海市长宁区2021届高三二模数学试题
上海市长宁区2021届高三二模数学试题上海市实验学校2020-2021学年高二下学期期末数学试题(已下线)课时41 空间直线与平面的位置关系-2022年高考数学一轮复习小题多维练(上海专用)(已下线)第19讲 立体几何初步-3
解题方法
4 . 若正四面体
的所有棱长均为
,则正四面体
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.表面积为![]() | B.高为![]() | C.体积为![]() | D.内切球半径为![]() |
您最近一年使用:0次
解题方法
5 . 设
是
所在平面外一点,
,
,
两两垂直,
于点
,
,
,
,
的面积分别是
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/6e11b49c-7480-4c85-8e74-9d71a52d3f2c.png?resizew=191)
(1)证明:平面
平面
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545e18836bc7fee22f8f813a6f525d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/6e11b49c-7480-4c85-8e74-9d71a52d3f2c.png?resizew=191)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ad6a0124359e8b9f7649cf0bff51ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b41efcda0218e2779574502e9860d53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3562f49d785876f34613df6e32bee895.png)
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解题方法
6 . 在四棱锥
中,底面
是边长为
的正方形,P在底面的射影为正方形的中心
点为
中点.点T为该四棱锥表面上一个动点,满足
都平行于过
的四棱锥的截面,则动点T的轨迹围成的多边形的面积为( )
![](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/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9dbae132122a9337cc8db5130189bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e87d4d9a3b0f961483bf4f68be9c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知正方体
的棱长为2,
,
中点分别为
,
,若过
的平面截该正方体所得的截面是一个五边形,则该五边形周长的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/49b50357a6545cae8348e3059312f520.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知正方体
的边长为
,
为边
上靠近
的三等分点,过
且垂直于直线
的平面被正方体所截的截面面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知正方体
的棱长为4,点
为
中点,点
为
中点,若平面
过点
且与平面
平行,则平面
截正方体
所得的截面面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3ef97d64e58d311019b70fe5e2cc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
您最近一年使用:0次
2021-01-17更新
|
326次组卷
|
2卷引用:名校学术联盟2020-2021学年高三上学期1月模拟信息卷押题卷数学理科(一)试题
解题方法
10 . 在三棱柱
中,底面
为正三角形,侧棱垂直于底面,
是
的中点,
是
的中点.给出下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
A.若![]() ![]() ![]() ![]() |
B.![]() ![]() |
C.若该三棱柱有内切球,则![]() |
D.若该三棱柱所有棱长均相等、则侧面对角线与棱成45°角的共有30对 |
您最近一年使用:0次
2020-12-25更新
|
634次组卷
|
4卷引用:专题20 立体几何角的计算问题(测)-2021年高三数学二轮复习讲练测(新高考版)
(已下线)专题20 立体几何角的计算问题(测)-2021年高三数学二轮复习讲练测(新高考版)(已下线)数学-2021年高考考前20天终极冲刺攻略(二)(新高考地区专用)【学科网名师堂】 (5月25日)河北省邯郸市2021届高三上学期期末质量检测数学试题陕西省渭南市大荔县2022-2023学年高一下学期期末数学试题