1 . 在直四棱柱
中,底面ABCD为平行四边形,
,
,
,
,过点B作平面截四棱柱所得截面为正方形,该平面交棱
于点M,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fc9f894312e55c87a0d6737080e233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dca20c8fe7d811bdb693b2cc1970a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55e5f19268956dbcf8d0ce79a31db2.png)
A.2 | B.3 | C.4 | D.5 |
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2 . 如图所示的几何体P—ABCD中,四边形ABCD为菱形,∠ABC=120°,AB=a,PB=
a,PB⊥AB,平面ABCD⊥平面PAB,AC∩BD=O,E为PD的中点,G为平面PAB内任一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/a5282e53-3ac8-417e-83c4-54cf3853eb91.png?resizew=161)
(1)在平面PAB内,过G点是否存在直线l使OE∥l?如果不存在,请说明理由,如果存在,请说明作法;
(2)过A,C,E三点的平面将几何体P—ABCD截去三棱锥D—AEC,求剩余几何体AECBP的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/a5282e53-3ac8-417e-83c4-54cf3853eb91.png?resizew=161)
(1)在平面PAB内,过G点是否存在直线l使OE∥l?如果不存在,请说明理由,如果存在,请说明作法;
(2)过A,C,E三点的平面将几何体P—ABCD截去三棱锥D—AEC,求剩余几何体AECBP的体积.
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2019-12-05更新
|
255次组卷
|
9卷引用:辽宁省2020届高三(5月份)高考数学(文科)押题试题
辽宁省2020届高三(5月份)高考数学(文科)押题试题河北省衡水中学2017届高三押题II卷文数试卷河北省衡水中学2018年高考押题(二)文科数学(已下线)河北省衡水中学2019年高考押题数学(文)试题(二)【全国百强校】山东省淄博实验中学2019届高三第二学期第一次(4月)教学诊断考试数学(文)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》(已下线)专题20+立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)(已下线)专题20 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)
3 . 如图,在斜三棱柱
中,点
、
分别是
、
的中点,
平面
.已知
,
.
(Ⅰ)证明:
平面
;
(Ⅱ)求异面直线
与
所成的角;
(Ⅲ)求
与平面
所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/91ffa8d8593e4287921f830254edcace.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/4f4e3f8324734bc48f14f800248e3340.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/4d3134e3d2af4a508a1238d59643f92c.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/7ec613da115c4de2bc173c6212f9cc9e.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/6c237290e46e4465980240250f157482.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/83e194d0c04147a0b55a7b1eabceca0e.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/2fedb5418ea044adb6f840439cdd0cee.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/4e08a720d1bd42ebaf1fa9e030fac067.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/864fe98b347d4ef798f77c46d082c46b.png)
(Ⅰ)证明:
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/be508542a0ed4a47b308c7d3817e6d1c.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/8b572b7dc87d47aa90e5cab13e78cecf.png)
(Ⅱ)求异面直线
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/a3a38c3610dc4bcd952d85820315d193.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/f0dfb3586a38464bb9a47901d98a7286.png)
(Ⅲ)求
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/7ec613da115c4de2bc173c6212f9cc9e.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/3da1a3882d214ec8a028bd44f466ad34.png)
![](https://img.xkw.com/dksih/QBM/2012/5/17/1570857997066240/1570858002644992/STEM/38506a19cae3487bac38489e1502e4e9.png)
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