1 . 如图,长方体
中,
,点E,F分别在
,
上,且
.
(1)求AF的长;
(2)过点E,F的平面与长方体的面相交,交线围成一个正方形EFGH.在答题卡对应的图中 ,作出点G,H,并说明作法及理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4065fef8de53b74fb6a6db2754350c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d248443b187bf046cedc2f9025bde3a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/7d49b9af-7098-484c-9a43-091656de7a0e.png?resizew=175)
(1)求AF的长;
(2)过点E,F的平面与长方体的面相交,交线围成一个正方形EFGH.
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2 . 在四棱锥
中,底面
为矩形,
,平面
平面
,点
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/18/6b886c6d-76ef-4db3-a3d2-958428ee7838.png?resizew=151)
(1)证明:
;
(2)若
,四棱锥
的体积为
,求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/18/6b886c6d-76ef-4db3-a3d2-958428ee7838.png?resizew=151)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b503c5da1208576c9fabd3685153c9d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee76246dee4f1670e4f21e5eb393b52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519bd215d019509fa2d88e57f145a896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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名校
解题方法
3 . 如图,在三棱锥
中,
平面
,
,
,
分别为
,
的中点.求证
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/4f49693e-bf73-4e62-be0c-6d19e8a48c29.png?resizew=160)
(1)
平面
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/4f49693e-bf73-4e62-be0c-6d19e8a48c29.png?resizew=160)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78172568aac9805d2ea2d5f742bf80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9874eca4abea481fa84eb772a920f9c7.png)
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2020-12-02更新
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3卷引用:2020年湖北省普通高中学业水平合格性考试数学试题
名校
4 . 已知
,
,
是三条直线,
是一个平面,下列命题不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
2020-12-02更新
|
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10卷引用:2020年湖北省普通高中学业水平合格性考试数学试题
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