1 . 如图,正方体
中,异面直线
与
所成角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://img.xkw.com/dksih/QBM/2018/7/10/1985665897897984/1987379009634305/STEM/d8b8c18f-0be8-4853-a257-3489ce5f6cf7.png?resizew=188)
您最近一年使用:0次
2018-07-13更新
|
635次组卷
|
3卷引用:2010-2011年福建省厦门市杏南中学高一3月月考数学试卷
(已下线)2010-2011年福建省厦门市杏南中学高一3月月考数学试卷【全国市级联考】福建省三明市2017-2018学年高一下学期期末考试数学试题安徽省六安市舒城中学2019-2020学年高二下学期期末文科数学试题
2 . 如图,正方体
中,
为面
(包括边界)内一动点,当点
与
重合时,异面直线
与
所成的角的大小为__________ ;当点
在运动过程中始终保持
平面
,则点
的轨迹是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b074a2f55d46350f0628ae6121c558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2018/6/25/1974931989143552/1979730087002112/STEM/718f2ba348464f3d9b752e46752d7cd8.png?resizew=184)
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3 . 如图在正三角形
中,
,
,
分别为各边的中点,
,
,
,
分别为
、
、
、
的中点,将
沿
、
、
折成三棱锥以后,
与
所成角的大小为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67716ac738ee2911a69bf4063110a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71432131d194730a67f3192d1f8679b7.png)
![](https://img.xkw.com/dksih/QBM/2018/6/25/1974931989143552/1979730086862848/STEM/0ae48f39ab994d20bcdf94492c0099d5.png?resizew=173)
您最近一年使用:0次
2018-07-02更新
|
295次组卷
|
2卷引用:【全国百强校】北京东城北京二中2017-2018学年高二上学期期中考试数学(理)试题
4 . 如图所示,已知正方体
,
分别是
上不重合的两个动点,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/2018/5/31/1957149181689856/1957875889553408/STEM/411f51fcfc7948c08039d49e11362d84.png?resizew=122)
①
; ②平面
平面
;
③
; ④平面
平面
.
其中,正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cbe5889288b105c97cf94e13ba36078.png)
![](https://img.xkw.com/dksih/QBM/2018/5/31/1957149181689856/1957875889553408/STEM/411f51fcfc7948c08039d49e11362d84.png?resizew=122)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4882a0ccc3ec19c48ead54ffad674db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6877db061655ee13017b6806e1896c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93904971096ce1db9357e73ab53cb704.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022df1a374a23fc4be39f5d1cf3c87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec43f7352b3a8c194b4c37485fb4ffd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
其中,正确结论的序号是
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5 . 在四面体
中,
平面
,
,
,
,
,
为棱
上一点,且平面
平面
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd654221ab95fe241d9e0202443f2609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.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/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
您最近一年使用:0次
2018高三·全国·专题练习
解题方法
6 . 如图,四边形
为圆柱的轴截面,点
为半圆柱的底面所在平面内一点,半圆柱的底面所在圆的半径
,
.
(Ⅰ)求证:
平面
;
(Ⅱ)求该几何体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7551011cfb75b26f35b07d6617c6a18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e01f4c1b9e135e2900a59e8c59929ad.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd654221ab95fe241d9e0202443f2609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(Ⅱ)求该几何体的体积.
![](https://img.xkw.com/dksih/QBM/2018/4/23/1930340892852224/1931957215682560/STEM/900519eb-384a-4e4a-babc-d6fc7ca42a73.png)
您最近一年使用:0次
7 . 在四棱锥
中,
底面
,底面
是正方形,
,三棱柱
的顶点都位于四棱锥
的棱上,已知
分别是棱
的中点,则三棱柱
的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.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/6dff2b45f754a5556a34a9aa3196bf95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9cc8baa8e0d7d6aff84d938bdd1ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9369aed2d8309af46ac3eaffb9cce537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7211004fd91cc2a691bee4e051c111ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9cc8baa8e0d7d6aff84d938bdd1ef8.png)
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8 . 如图所示,
是正方形
所在平面外一点,
在面
上的正投影
恰在
上,
,则以下结论中正确的有______ .
(1)
面
;
(2)
;
(3)以
作为邻边的平行四边形面积是
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/1497dde6d293def5513db25b88f4a731.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/30/87022992-e7c5-4e47-b9d5-2b7a04a14325.png?resizew=205)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0ddf9cf1eeacb8e82b24a44621ea0d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afface6e34f75dc6fb982a423c08388.png)
(3)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d190f1784e150edb9dd6dfd3cf4eb0e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292db5a9c6f1f948dc62370d41f73b4f.png)
您最近一年使用:0次
2018-04-04更新
|
559次组卷
|
2卷引用:2015-2016学年山东省菏泽市高一上学期期末考试数学试卷
9 . 以等腰直角三角形
的底边
上的高
为折痕,把
和
折成互相垂直的两个平面,则下列四个命题:
①
; ②
为等腰直角三角形;
③三棱锥
是正三棱锥; ④平面
平面
;
其中正确的命题有__________ .(把所有正确命题的序号填在答题卡上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77e3c1c236141d6118429fade0a9b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
其中正确的命题有
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10 . 如图,在梯形
中,
,
,
,
分别是
的中点,将四边形
沿直线
进行翻折.给出四个结论:①
;②
;③平面
平面
;④平面
平面
.在翻折过程中,可能成立的结论序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4275a32ff9031b2ffc61e078a9b766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28d2790a97390935125aa897417f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08c14e87a2bcf7090eab2fea73667d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d276d0010fd458383ea3dd61415e1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db1cb818977a967130ef41cd3f9f4fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f3e3f310f6ec3f3a26498e7ee17a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f1d7219cd40346442b33dba84deb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b189e0bf776fc95971e2ef60cdfc454e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f1d7219cd40346442b33dba84deb5c.png)
![](https://img.xkw.com/dksih/QBM/2018/2/23/1888433483808768/1891511787331584/STEM/83e5fbfb6db54584bcc0ce6f1ac16bc5.png?resizew=131)
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2018-02-27更新
|
537次组卷
|
5卷引用:四川省乐山市2017-2018学年高二上学期期末教学质量检测数学理试题
四川省乐山市2017-2018学年高二上学期期末教学质量检测数学理试题四川省乐山市2017-2018学年高二上学期期末教学质量检测数学(文)试题【市级联考】河南省濮阳市2018-2019学年高一上学期期末考试数学试题(已下线)专题8.6 立体几何 (单元测试)(测)【文】-《2020年高考一轮复习讲练测》(已下线)专题8.6 立体几何(单元测试)(测)-江苏版《2020年高考一轮复习讲练测》