解题方法
1 . 如图,在三棱锥
中,
为等边三角形,
为等腰直角三角形,
,平面
平面
,
为
的中点,则异面直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3735a467f788624fe63946e0da5b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 在直三棱柱
中,
,则
与平面
所成的角为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9efa97076e2ce3ae662d81385ec43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 在空间直角坐标系中,已知A(0,6,4),B(0,3,4),C(4,3,4),
(0,6,0),
(0,0,0),
(8,0,0),则几何体
的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
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解题方法
4 . 如图,在正四棱柱
中,
,则异面直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0833ca242fe53c8edfaf6f974d794cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-12更新
|
1838次组卷
|
9卷引用:福建省宁德市福安市第一中学2023-2024学年高二下学期第三次月考数学试题
福建省宁德市福安市第一中学2023-2024学年高二下学期第三次月考数学试题陕西省西安市第一中学2024届高三下学期模拟考试数学(文科)试题四川省成都市金堂县淮口中学校2024届高三下学高考仿真冲刺卷(一)文科数学试题(已下线)专题04 高一下期末考前必刷卷02(提高卷)-期末考点大串讲(人教A版2019必修第二册)陕西省西安市鄠邑区第二中学2024届高三模拟考试文科数学试卷(已下线)必考考点7 立体几何中角和距离 专题讲解 (期末考试必考的10大核心考点)宁夏回族自治区石嘴山市平罗县平罗中学2023-2024学年高三下学期第五次模拟考试数学(文)试题(已下线)【高一模块一】难度8 小题强化限时晋级练(较难2)江苏省南京市东山高级中学南站校区2023-2024学年高一下学期期末考试数学试卷
名校
解题方法
5 . 如图,四棱锥
的底面为矩形,平面
平面
是边长为2的等边三角形,
,点
为
的中点,点
为线段
上一点(与点
不重合).
;
(2)当
为何值时,直线
与平面
所成的角最大?
(3)在(2)的条件下,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3826f38ba13d3cdac1485ac3b67bc1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6e0bfb13d3403be93723a9915c07a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ab924e3692515bd8be4c36472a959a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(3)在(2)的条件下,求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
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解题方法
6 . 在四棱锥
中,底面
是边长为3的正方形,
底面
,点
在侧棱
上,且满足
,则异面直线
和
的距离为( )
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7992a6b8d2458fca5dbe44c4320e9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda041848f97502ffc755f1ce484f92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
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2024-05-08更新
|
490次组卷
|
4卷引用:江苏省靖江高级中学2023-2024学年高二下学期期中考试数学试题
江苏省靖江高级中学2023-2024学年高二下学期期中考试数学试题甘肃省兰州第一中学2023-2024学年高二下学期5月月考数学试题江苏省淮安市洪泽中学,金湖中学,清河中学,清浦中学等学校2023-2024学年高二下学期5月月考数学试题(已下线)专题02 空间向量与立体几何--高二期末考点大串讲(苏教版2019选择性必修第二册)
名校
解题方法
7 . 如图,在三棱柱
中,底面
是以
为斜边的等腰直角三角形,侧面
为菱形,点
在底面上的投影为
的中点
,且
.
;
(2)求点
到侧面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a382ccd078374f1efebb26a43599e596.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
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解题方法
8 . 如图,棱柱
的所有棱长都等于2,且
,平面
平面
.
与平面
所成角的余弦值;
(2)在棱
所在直线上是否存在点P,使得
平面
.若存在,求出点P的位置;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d093bd9b62f186878323745997fb0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e69ddcbb370ad11e073881f52834b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c05f5452f7682e52db629a28becb116.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92ff089ec8ff211a9fcefe4682c0618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee3d1518e197f7f25c341da6b1e3483.png)
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2024-04-17更新
|
1391次组卷
|
2卷引用:福建省漳州市平和正兴学校2023-2024学年高二下学期4月月考数学试题
名校
9 . 如图,四棱锥P-ABCD中,底面ABCD是等腰梯形,
,
,
,
,
.
(1)求四棱锥
的体积.
(2)若
为边PC的中点,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec70816ad7a68d5be305d454b25a3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49437f474e5805688dff21ded2d1fd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6e3e900a2d5c052d719b0d4f823c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e74e05a9adf6a1f7a10edd0ac720311.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/99dfda22-4074-4008-befd-bd6ec29e0633.png?resizew=170)
(1)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b97115324c54e79840000b96fcba24.png)
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解题方法
10 . 如图,平行六面体
的底面是菱形,且
,
,
.
(1)求
的长;
(2)求异面直线
与
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a6ee51af9b52152488b1772fa190fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c122ca7141c43c15c783968f5f0dbc19.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/c687cbff-7aa4-424d-b71e-4039e2188c3b.png?resizew=201)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2eb89294b31ffdd2680b4361e8994d7.png)
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