名校
解题方法
1 . 如图,在
中,
,
,
,过
中点
的直线
与线段
交于点
.将
沿直线
翻折至
,且点
在平面
内的射影
在线段
上,连接
交
于点
,
是直线
上异于
的任意一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc6b94f23607ff4261c371ec9425c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e7040c2fd8a163d71e35805775feb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae7f709cd4bf123f329605b2f9ea679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() |
B.![]() |
C.点![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
2023-09-28更新
|
2436次组卷
|
11卷引用:四川省泸州市龙马潭区2023-2024学年高一下学期6月期末考试数学试题
四川省泸州市龙马潭区2023-2024学年高一下学期6月期末考试数学试题河北省部分高中2024届高三上学期12月期末数学试题浙江省嘉兴市2024届高三上学期9月基础测试数学试题河北省衡水市衡水中学2024届高三上学期四调考试数学试题辽宁省沈阳市东北育才学校科学高中部2023-2024学年高三下学期第六次模拟考试数学试卷(已下线)第三章 折叠、旋转与展开 专题一 平面图形的翻折、旋转 微点2 翻折、旋转中的基本问题(二)河南省信阳市新县高级中学2024届高三适应性考试(九)数学试题河南省信阳市信阳高级中学2024届高三高考模拟预测(十三)数学试题广东实验中学2023-2024学年高二下学期期中考试数学试题(已下线)压轴题04立体几何压轴题10题型汇总-2(已下线)专题6 学科素养与综合问题(多选题11)
2 . 如图,在长方体
中,
,
分别为棱
,
的中点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97315b1fc75dc5bb8569d6fcb2cd668f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/625550f8-8404-4517-8181-c2b6be63bf09.png?resizew=168)
A.四点![]() |
B.直线![]() ![]() ![]() |
C.直线![]() ![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
3 . 如图所示是正方体的平面展开图,那么在正方体中( )
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279554613248/STEM/1a132a32-9935-4112-b271-17967bad171f.png?resizew=176)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279554613248/STEM/1a132a32-9935-4112-b271-17967bad171f.png?resizew=176)
A.![]() |
B.EF和BC所成的角是60° |
C.直线AC和平面ABE所成的角是30° |
D.如果平面![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-05-27更新
|
1757次组卷
|
7卷引用:四川省泸州市泸县泸县第四中学2022-2023学年高一下学期期末数学试题
名校
4 . 如图,四棱锥
的底面是正方形,
平面
,
.点
是
的中点,作
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/74e22484-1aa4-4ec2-8b98-0aa3047fc35a.png?resizew=183)
(1)设平面
与平面
的交线为
,试判断直线
与直线
的位置关系,并给出证明;
(2)求平面
与平面
所成的较小的二面角的余弦值;
(3)求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f9180ddd9aa1a0ee0dc520f4e0b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7b9bf7332256ac478041957fa2a55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/74e22484-1aa4-4ec2-8b98-0aa3047fc35a.png?resizew=183)
(1)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
2021-08-30更新
|
883次组卷
|
4卷引用:四川省泸州市泸县第五中学2022-2023学年高一下学期期末数学试题
解题方法
5 . 如图,在正方体
中,
,
分别为
,
的中点,
,
分别为
,
的中点,对于下列四个结论:
①二面角
的大小为
;
②三条直线
,
,
有公共点;
③直线
上存在点
使
,
,
三点共线;
④直线
与平面
所成角的正切值为2.
![](https://img.xkw.com/dksih/QBM/2021/1/22/2641846476193792/2645357736435712/STEM/2b5c156a500048808a7c9df253b4cc4f.png?resizew=190)
其中错误结论的个数为( )
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
①二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0830c440cb5f1b816d17dcdebdba71a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
②三条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/1dde8112e8eb968fd042418dd632759e.png)
④直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2021/1/22/2641846476193792/2645357736435712/STEM/2b5c156a500048808a7c9df253b4cc4f.png?resizew=190)
其中错误结论的个数为( )
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
11-12高三·河北唐山·阶段练习
名校
6 . 在直三棱柱ABC-A1B1C1中,AB=1,AC=2,BC=
,D,E分别是AC1和BB1的中点,则直线DE与平面BB1C1C所成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f8c3ba00c59e0634ed10fa85289de.png)
A.30° | B.45° |
C.60° | D.90° |
您最近一年使用:0次
2018-06-17更新
|
419次组卷
|
14卷引用:四川省泸县第二中学2018届高三上学期期末考试数学(理)试题
四川省泸县第二中学2018届高三上学期期末考试数学(理)试题四川省泸县第二中学2018届高三上学期期末考试数学(文)试题四川省南充市2023-2024学年高二上学期期末模拟数学试题(四)(已下线)2013届河北省唐山一中高三第一次月考理科数学试卷2015-2016学年湖北省黄冈中学高二上第三次周测数学试卷2015-2016学年安徽六安一中高二下开学考试数学试卷2017-2018学年高三数学二轮同步训练:专题(30) 空间向量与立体几何(已下线)《考前20天终极攻略》5月26日 立体几何与空间向量【理科】(已下线)《高频考点解密》—解密15 空间中的平行与垂直(已下线)解密14 空间中的平行与垂直-备战2018年高考文科数学之高频考点解密智能测评与辅导[理]-空间向量与立体几何(已下线)解密14 空间中的平行与垂直 (讲义)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练四川省南充高级中学2021-2022学年高二下学期入学考试数学(理)试题四川省南充高级中学2021-2022学年高二下学期入学考试数学(文)试题
10-11高二下·广西桂林·期中
7 . 若正三棱柱
的棱长均相等,则
与侧面
所成角的正切值为___.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2016-11-30更新
|
1032次组卷
|
4卷引用:四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(文)试题
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