1 . 如图,在三棱柱
中,平面
平面
,平面
平面
.
平面ABC.
(2)若
,
,求直线BC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/85a2e10a5aebe40a9018d5ee3ade7af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2623e1c4ecbd65ae5e0285c0453ffd0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25e8fc3dda4f8b45491514b6e22a962.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba5d34d3edfc929177ef9af82d5d0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
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2 . 对于两条不同直线m,n和两个不同平面
,以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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|
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2卷引用:湖北省新高考联考协作体2023-2024学年高一下学期5月联考数学试题
名校
解题方法
3 . 在直三棱柱
中,若
,则直线
到平面
的距离为__________ ..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801678d432f5d93f30045d14960ddcd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
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4 . 在长方体
中,
为
的中点,在
中,
,
,
,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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bdde23fd0de5ed0d3067ebc2be34b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad8a5adae3d6d7160a89a96fa6643ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50943279ee6f0299b3725eecd77bafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
A.1 | B.2 | C.3 | D.4 |
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|
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5 . 如图,三棱锥
中,平面
平面
,平面
平面
,平面
平面
,
两两垂直;
(2)若
为
中点,
为
中点,求
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/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17580410bf63dba4fe164265afaac4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d3055b122bf4953a3d6cc92ab03d74.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de71ce866cd3325113f3324dc01b472a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
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名校
解题方法
6 . 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/4edffabf75130171c2440357f9a4d5f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a438393ddfc7da1804baf4932442bb35.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
831次组卷
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5卷引用:河南省部分重点高中2023-2024学年高三下学期5月联考数学试卷 (新高考)
河南省部分重点高中2023-2024学年高三下学期5月联考数学试卷 (新高考)(已下线)6.5.2 平面与平面垂直-同步精品课堂(北师大版2019必修第二册)(已下线)辽宁省沈阳市第二中学2024届高三下学期三模数学试题(已下线)必考考点7 立体几何中角和距离 专题讲解 (期末考试必考的10大核心考点)2024届青海省海南藏族自治州高考二模数学(理科)试卷
7 . 设
是两条不同的直线,
是两个不同的平面,有下列四个命题:
①若
则
;
②若
则
;
③若
, 则
;
④若
则
.
其中正确命题的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cdaebdd9f1276ba8f86827068451c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1feff13fa9a17b5e44abd0c8b7f22e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daaf5dfa9ff35661d3a8e5489caa017e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1049a3fc22fd7236f6f7d0fa2e33e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53cd751c44ad4d9ebd8e3243e751321.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b24391aeea37d9e0cd3075d460b87ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4ded3c4bc7a2212f2a0eb5f9753de5.png)
其中正确命题的序号是( )
A.① | B.② | C.③ | D.④ |
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8 . 如图,在四棱锥
中,底面
是边长为a的正方形,侧面
底面
,且
,设E,F分别为
,
的中点.
平面
;
(2)求直线
与平面
所成角的大小.
![](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/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e030853e53547cc35df6ee1e033beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2024-06-04更新
|
1468次组卷
|
2卷引用:宁夏回族自治区石嘴山市平罗县平罗中学2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
9 . 已知
、
为异面直线,
平面
,
平面
,若直线
满足
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979a27d3a09a17445561091e6655eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13761925fc1f25fd654a4b829032c8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb26a220ed44c446105df7caa0f1063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b97ab842db26bc83a6ca5f580133c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9b2c3117321788078867bd0701743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039b3253795ea8487f13bd52a6ff4af7.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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10 . 已知球
的半径为3,相互垂直的两个平面分别截球面得两个圆
,其半径分别为
,若
,两圆的公共弦的中点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3bb1740b0b07e5196662aee8110b21.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d096cd7bd8a5a2219fd7dd166bbb8460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8543261a8e351eb95cdfebb001a3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98d0e9e0dcd7c1cfe6ce951725d50e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3bb1740b0b07e5196662aee8110b21.png)
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