名校
解题方法
1 . 如图,在四棱柱ABCD-A1B1C1D1中,侧棱A1A⊥平面ABCD,AB∥DC,AB⊥AD,AD=CD=2,AA1=AB=4,E为棱AA1的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/33bf0b9c-bee0-4925-84e7-8025c208ac5e.png?resizew=168)
(1)证明:BC⊥C1E.
(2)设
=λ
(0<λ<1),若C1到平面BB1M的距离为
,求λ.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/33bf0b9c-bee0-4925-84e7-8025c208ac5e.png?resizew=168)
(1)证明:BC⊥C1E.
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eecfe95150ef2fbfb2f276a0d637b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0735144f6e24b6b32028ff14c17c1cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9868f77d5ab5073b6145f1c6d272122e.png)
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2023-02-11更新
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6卷引用:山西省忻州市河曲县中学校2022-2023学年高二下学期开学考试数学试题
解题方法
2 . 如图,在直三棱柱
中,
,
,
,
分别为
,
和
的中点,
为棱
上的一动点,且
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/4/3451fcd6-5c73-4a93-bd6d-78d0c8c54c88.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89955e0098755a46c7977fbf91e920ba.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0023280949eda97787964f0a9d41ed2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/4/3451fcd6-5c73-4a93-bd6d-78d0c8c54c88.png?resizew=152)
A.![]() |
B.三棱锥![]() |
C.![]() |
D.异面直线![]() ![]() ![]() |
您最近一年使用:0次
2023-02-03更新
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6卷引用:山西省忻州市2023届高三一模数学试题
山西省忻州市2023届高三一模数学试题广东省江门市部分学校2023届高三下学期开学联考数学试题浙江省部分学校2022-2023学年高三上学期1月联考数学试题浙江省金太阳联盟2022-2023学年高三上学期1月期末联考数学试题(已下线)湖南省新高考教学教研联盟2023届高三下学期4月第二次联考数学试题变式题6-10浙江省浙里卷天下2023届高三一模数学试题
解题方法
3 . 如图,在三棱柱
中,
平面
,D,E分别为棱AB,
的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/973d0791-ff5b-4568-854a-64067adb7da4.png?resizew=128)
(1)证明:
平面
;
(2)若三棱锥
的体积为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25e8fc3dda4f8b45491514b6e22a962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee631002406bf7468e534b647fc918a2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/973d0791-ff5b-4568-854a-64067adb7da4.png?resizew=128)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7cd40c9d26ada55e07fa71a4b98be7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f83dbfddc6f98548699ed581e8c8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf462eaaad82d6bc3b460385fd9f0de.png)
您最近一年使用:0次
2023-02-03更新
|
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5卷引用:山西省忻州市2023届高三一模数学试题