名校
1 . 如图,在正方体
中,
,
,
分别是棱
,
,
的中点.
平面
;
(2)求直线
与平面
所成角的正弦值.
![](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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b70cef0b79ca64acbb67dc667fc53b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
您最近一年使用:0次
23-24高二下·上海·期末
2 . 如图,在长方体
中,已知
,
,点
为棱
的中点.求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37750daa8ba3b3fe3e9e2092f81c848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa203719e01b3755a5d149191f9e3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
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3 . 如图,在四面体
中,
,
,
为
的中点,
为
上一点.
平面BDF;
(2)若
,
,
.
(ⅰ)求二面角
的余弦值;
(ⅱ)求直线
与平面
所成角的正弦值的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ad8d16722f5b9e7fd2602f14d5ffbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc6db50a9709c3f4d84eee7bdf1250.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8726e6a11ad400cfd860b09debe475be.png)
(ⅰ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.png)
(ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次
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解题方法
4 . 如图1,在等腰梯形ABCD中,
,
,E为CD中点,将
沿AE折起,使D点到达P的位置(点P不在平面ABCE内),连接PB,PC(如图2),则在翻折过程中,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edba78154f762c0b636754c88cf90b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
A.![]() | B.![]() |
C.存在某个位置,使![]() | D.PB与平面ABCE所成角的取值范围为![]() |
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名校
5 . 如图,直四棱柱
中,底面ABCD为菱形,
,
,P,M,N分别为CD,
,
的中点.
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e0b64d25ddd18454f88e40c45d7d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f5dd01b683fcab010fc6ff5558c9e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183960a75956e783ee1c5dcd4776b425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96872cd6cd581ae8a861c7032e0257b4.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96872cd6cd581ae8a861c7032e0257b4.png)
您最近一年使用:0次
名校
6 . 如图,在长方体
中,
,
;
(2)求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b057dd60a3b145cabb4fdcde3c1aafb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d56889f2417c8449b7ed31a03550d24.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
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7日内更新
|
663次组卷
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3卷引用:专题08 立体几何大题常考题型归类-期末考点大串讲(人教B版2019必修第四册)
(已下线)专题08 立体几何大题常考题型归类-期末考点大串讲(人教B版2019必修第四册)湖南省永州市第一中学2023-2024学年高一下学期5月月考数学试卷山东省潍坊市部分学校2023-2024学年高一下学期第二次月考数学试题
解题方法
7 . 已知圆台的上、下底面半径分别为1和3,母线长为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
A.圆台的母线与底面所成的角为![]() |
B.圆台的侧面积为![]() |
C.圆台的体积为![]() |
D.若圆台的两个底面的圆周在同一个球的球面上,则该球的表面积为![]() |
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7日内更新
|
1552次组卷
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7卷引用:广东省六校(北江中学、河源中学、清远一中、惠州中学、阳江中学、茂名中学)2023-2024学年高一下学期联合质量监测考试数学试题
广东省六校(北江中学、河源中学、清远一中、惠州中学、阳江中学、茂名中学)2023-2024学年高一下学期联合质量监测考试数学试题(已下线)专题04 立体几何初步-期期末真题分类汇编(人教A版2019必修第二册)(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)(已下线)第六章 立体几何初步(单元测试,新题型)-同步精品课堂(北师大版2019必修第二册)(已下线)专题05 立体几何初步(2)-期末考点大串讲(苏教版(2019))(已下线)核心考点6 立体几何中组合体 B提升卷 (高一期末考试必考的10大核心考点) (已下线)专题08 立体几何异面直线所成角、线面角、面面角及平行和垂直的证明 -《期末真题分类汇编》(北师大版(2019))
8 . 如图,已知圆柱母线长为4,底面圆半径为
,梯形
内接于下底面圆,
是直径,
,过点
向上底面作垂线,垂足分别为
,点
,
分别是线段
上的动点,点
为上底面圆内(含边界)任意一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597f3aedca309efba342bd8dace25b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d659d5601d47fc8e580788f8bfc2cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a5f13f3212930da75becd1f57bf542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.若平面![]() ![]() ![]() ![]() |
B.若平面![]() ![]() ![]() |
C.![]() |
D.当点![]() ![]() ![]() ![]() ![]() |
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9 . 如图,在正方体
中,
为线段
的中点,
为线段
上的动点.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.不存在点![]() ![]() |
D.PQ与平面![]() ![]() |
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2024-05-12更新
|
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|
4卷引用:专题04 高一下期末考前必刷卷02(提高卷)-期末考点大串讲(人教A版2019必修第二册)
(已下线)专题04 高一下期末考前必刷卷02(提高卷)-期末考点大串讲(人教A版2019必修第二册)甘肃省酒泉市2024届高三第三次诊断考试(5月)数学试题(已下线)核心考点5 立体几何中的位置关系 B提升卷 (高一期末考试必考的10大核心考点)2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
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10 . 如图,在斜三棱柱
中,
为AC的中点,
.
.
(2)若
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064a85cbe661188cb3bbcf25d98c30ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e157e940dd443c9660aed01001d670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107930f76e1a7266df474665b3fb256e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ed25a99a7ef3fff62adfa6b46060d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2fecaad729e54dc1c9cea29c27d362b.png)
您最近一年使用:0次
2024-05-12更新
|
2590次组卷
|
6卷引用:专题03 高一下期末考前必刷卷01(基础卷)-期末考点大串讲(人教A版2019必修第二册)
(已下线)专题03 高一下期末考前必刷卷01(基础卷)-期末考点大串讲(人教A版2019必修第二册)(已下线)专题08 立体几何大题常考题型归类-期末考点大串讲(人教B版2019必修第四册)陕西省西安市第一中学2024届高三下学期模拟考试数学(文科)试题河北省沧州市泊头市第一中学2023-2024学年高一下学期5月月考数学试题陕西省西安市鄠邑区第二中学2024届高三模拟考试文科数学试卷浙江省嘉兴市平湖市当湖高级中学2023-2024学年高一下学期5月月考数学试题