13-14高二上·北京西城·期末
名校
1 . 已知矩形
,
,
,将
沿矩形的对角线
所在的直线进行翻折,在翻折过程中,则.
![](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/0fa41f80c6e33393a9f7bb57fca6b493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.![]() ![]() |
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2018-01-13更新
|
847次组卷
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4卷引用:专题4.5 立体几何中探索性问题-玩转压轴题,进军满分之2021高考数学选择题填空题
(已下线)专题4.5 立体几何中探索性问题-玩转压轴题,进军满分之2021高考数学选择题填空题(已下线)2012-2013年北京市西城区高二上学期期末考试文科数学试卷北京朝阳区陈经纶中学2017-2018学年高二上学期期中考试数学(文)试题安徽省合肥市庐阳区第六中学2019-2020学年高二上学期期中数学(理)试题
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2 . 如图,四棱锥
中,
,平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/f3412aa6-f8c5-4f91-bd00-b64818505c49.png?resizew=212)
(1)若
,证明:
;
(2)若
,
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/f3412aa6-f8c5-4f91-bd00-b64818505c49.png?resizew=212)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898b662cafba1a63594120141aaba8a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c043da5fc1c1432e9224b2e72a37d6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df3cbb0e21389791a038f7a9ce6a327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c016262f7c32817de8cb270fc9244f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036de574712cad14bddadf6653c7e714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/424e15816186bfb42f649e624193dfe2.png)
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2020-04-14更新
|
495次组卷
|
5卷引用:大题专项训练14:立体几何(计算面积、体积、距离)-2021届高三数学二轮复习
(已下线)大题专项训练14:立体几何(计算面积、体积、距离)-2021届高三数学二轮复习浙江省温州中学2019-2020学年高三上学期期末数学试题(已下线)专题18 立体几何综合(解答题)-冲刺2020高考跳出题海之高三数学模拟试题精中选萃(浙江专版)浙江省宁波市华茂外国语学校2020届高三下学期3月高考模拟数学试题(已下线)专题19 立体几何综合-2020年高考数学母题题源全揭秘(浙江专版)
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3 . 下列关于三棱锥
的叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2021-10-29更新
|
323次组卷
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2卷引用:湖北省黄石市大冶市第一中学2021-2022学年高二上学期9月月考数学试题
4 . 已知直三棱柱
中,
,
,且
,若点
为
中点,点
为
中点,且
,平面
交底面棱
于点
,且满足
,则多面体
的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd2cfeefe26ede77898e077de3f7c72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d97f616f0f32beed421129cbbb4db8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1833908f4db7c8dd708b75b9cade819a.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcf08c283a57c03de8db6d64b1e2218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcdb0295b373c6e306ca0dcf86f8b941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c040ffc7bf5a6f812fc54c2b89831bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dde05e655c5f6d4ef1c0c5b9fff13b.png)
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5 . 如图,在四棱锥
中,底面ABCD为边长为4的正方形,
,
,则四棱锥
外接球的表面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbb2dce15f3d0fe839688575d2a8ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/426953ae2ddba3f02753ac3244cfbd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/1b6e98d3-22f4-4dad-ab34-20b9d3a9d487.png?resizew=136)
您最近一年使用:0次
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6 . 已知在长方体ABCD﹣A1B1C1D1中,AD=AA1=1,AB=2,点E在棱AB上移动.
(Ⅰ)求证:D1E⊥A1D;
(Ⅱ)在棱AB上是否存在点E使得AD1与平面D1EC成的角为
?若存在,求出AE的长,若不存在,说明理由.
(Ⅰ)求证:D1E⊥A1D;
(Ⅱ)在棱AB上是否存在点E使得AD1与平面D1EC成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://img.xkw.com/dksih/QBM/2018/1/5/1854031733784576/1859021533405184/STEM/7de5d5f9a30441f2976cc23fb6b949b7.png?resizew=206)
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2018-01-12更新
|
839次组卷
|
3卷引用:江西省景德镇市第一中学2021-2022学年高二上学期期中数学(理)试题
名校
解题方法
7 . 如图,在直三棱柱ABC﹣A1B1C1中,AC=BC=CC1=6,AC⊥BC,E、E分别为BB1,A1C1中点,过点A、E、F作三棱柱的截面α,则下列结论中正确的是( ).
![](https://img.xkw.com/dksih/QBM/2021/2/13/2657224734392320/2657793115693056/STEM/3de14c2e-af8b-4baf-a8f6-80a4b05bc477.png?resizew=204)
![](https://img.xkw.com/dksih/QBM/2021/2/13/2657224734392320/2657793115693056/STEM/3de14c2e-af8b-4baf-a8f6-80a4b05bc477.png?resizew=204)
A.BC1∥α |
B.直线BC与直线AF所成角为90° |
C.若α交B1C1于M,则FM=5 |
D.α将三棱柱ABC﹣A1B1C1分成体积较大部分和体积较小部分,其中较大部分的体积为76 |
您最近一年使用:0次
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8 . 如图,等腰
所在平面为
,
,
.
是
的重心.平面
内经过点
的直线
将
分成两部分,把点
所在的部分沿直线
翻折,使点
到达点
(
平面
).若
在平面
内的射影
恰好在翻折前的线段
上,则线段
的长度的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d57d7dd861286e5ee6ec8dff0e19c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3249155dc8c7a96017cdd5d4249db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d57d7dd861286e5ee6ec8dff0e19c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1730df3a89486a6f5443f1dd405b6f.png)
![](https://img.xkw.com/dksih/QBM/2018/4/4/1916745099149312/1917569223860224/STEM/7818de07-1267-41e3-ade5-ea65e1445080.png)
您最近一年使用:0次
2018-04-05更新
|
796次组卷
|
3卷引用:安徽省六安市舒城中学2021届高三下学期高考仿真(一)理科数学试题
名校
9 . 如图,在四棱锥
中,侧面
底面
,底面
平行四边形,
,
,
,
为
的中点,点
在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/8f076fdd-bdff-40df-a12e-325f688630ca.png?resizew=184)
(1)求证:
;
(2)试确定点
的位置,使得直线
与平面
所成的角和直线
与平面
所成的角相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42ed2e5bd5a0f033e24008697bf4963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62526e69e7c4e59d9df8a5b2c2426400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692300f1ba0c83d7ffd4d0c6f36c9232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/8f076fdd-bdff-40df-a12e-325f688630ca.png?resizew=184)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6c62979a7aa534a191d8387a741e8.png)
(2)试确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](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
2019-12-07更新
|
275次组卷
|
11卷引用:江苏省南京市二十九中2020-2021学年高二下学期期初数学试题
江苏省南京市二十九中2020-2021学年高二下学期期初数学试题福建省三明市2017届高三下学期普通高中毕业班5月质量检查理科数学试题福建泉州新世纪中学2017届高三普通高中毕业班质量检查数学(理)试题福建省三明市2017年普通高中毕业班5月质量检查理科数学试题四川省凉山州2018届高三毕业班第二次诊断性检测数学(理科)试题重庆市江津中学校2018届高三4月月考数学(理)试题【全国百强校】四川省双流县棠湖中学2019届高三上学期期末考试数学(理)试题四川省蓬溪县蓬南中学2022-2023学年高三上期第四次月考数学试题(已下线)专题8.7 立体几何中的向量方法(讲)【理】-《2020年高考一轮复习讲练测》重庆市2023届高三下学期第四次联考数学试题四川省泸州市合江县马街中学校2024届高三上学期期末数学(理)试题