1 . 在直三棱柱
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/19/d9837989-be5d-44f0-a24c-1a42c3b7909d.png?resizew=155)
(1)求异面直线
与
所成角正切值的大小;
(2)求点
与平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd676c41d2d644928f014b0fea4689.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/19/d9837989-be5d-44f0-a24c-1a42c3b7909d.png?resizew=155)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
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2022-04-10更新
|
610次组卷
|
4卷引用:江西省山江湖协作体2021-2022学年高二(统招班)上学期联考数学(文)试题
江西省山江湖协作体2021-2022学年高二(统招班)上学期联考数学(文)试题(已下线)第02讲 玩转立体几何中的角度、体积、距离问题-【暑假自学课】2022年新高二数学暑假精品课(苏教版2019选择性必修第一册)黑龙江省鹤岗市第一中学2021-2022学年高一下学期期中考试数学试题(已下线)第02讲 基本图形的位置关系(2)
名校
解题方法
2 . 如图,在四棱锥
中,
是边长为2的等边三角形,梯形
满足
,
,
,M为AP的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878587058946048/2924764614393856/STEM/c324e68b-eab1-4f19-b18d-e8661c31a056.png?resizew=174)
(1)求证:
平面
;
(2)若
,求点C到平面PAD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878587058946048/2924764614393856/STEM/c324e68b-eab1-4f19-b18d-e8661c31a056.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfacd208d769d01f1d4ef20313cd869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
您最近一年使用:0次
2022-02-26更新
|
520次组卷
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3卷引用:江西省赣州市赣县第三中学2021-2022学年高二3月月考数学(文)试题
名校
解题方法
3 . 在四棱锥P—ABCD中,平面PAB⊥平面ABCD,∠ABC=∠BCD=90°,PC=PD,PA=AB=BC=1,CD=2.
![](https://img.xkw.com/dksih/QBM/2021/12/22/2878188120391680/2917523442221056/STEM/fa3483a1-e42e-4020-99e1-f7c09afe43a2.png?resizew=185)
(1)证明:PA⊥平面ABCD;
(2)求点C到平面PBD的距离.
![](https://img.xkw.com/dksih/QBM/2021/12/22/2878188120391680/2917523442221056/STEM/fa3483a1-e42e-4020-99e1-f7c09afe43a2.png?resizew=185)
(1)证明:PA⊥平面ABCD;
(2)求点C到平面PBD的距离.
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2022-02-16更新
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5卷引用:江西省安福中学2021-2022学年高二上学期第一次段考数学(理)试题
解题方法
4 . 如图,在正三棱柱中ABC-A1B1C1,D为AB的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/21/2877244010323968/2880285898661888/STEM/470d8d08bca14a2eb4f91c7971d4f12b.png?resizew=269)
(1)证明:BC1∥平面A1CD;
(2)已知AB=2,CC1=
,求点B1到平面A1CD的距离.
![](https://img.xkw.com/dksih/QBM/2021/12/21/2877244010323968/2880285898661888/STEM/470d8d08bca14a2eb4f91c7971d4f12b.png?resizew=269)
(1)证明:BC1∥平面A1CD;
(2)已知AB=2,CC1=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
5 . 正方体ABCD-A1B1C1D1的棱长为2,E,F分别是BB1,CD的中点,则点F到平面A1D1E的距离为________ .
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6 . 如图,在四棱锥O-ABCD中,底面ABCD是边长为1的正方形,OA⊥底面ABCD,OA=2,M为OA的中点,N为BC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/3581725f-017d-4aa0-ad4f-54c0b7ea69d9.png?resizew=164)
(1)证明:直线MN//平面OCD;
(2)求点B到平面OCD的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/3581725f-017d-4aa0-ad4f-54c0b7ea69d9.png?resizew=164)
(1)证明:直线MN//平面OCD;
(2)求点B到平面OCD的距离.
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2021-11-20更新
|
371次组卷
|
2卷引用:江西省萍乡市芦溪中学2021-2022学年高二上学期第一次段考数学(理)试题
7 . 如图1,在直角梯形ABCD中,
,
,且
,现以AD为一边向梯形外作正方形ADEF,然后沿边AD将正方形ADEF翻折,使
,M为ED的中点,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/a79dd867-e81b-4a2d-9694-7496a0f02b80.png?resizew=511)
(1)求证:平面
平面BDE;
(2)若
,求D到平面BEC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3da6e90f9c9617cd495abb57ab9b0e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/a79dd867-e81b-4a2d-9694-7496a0f02b80.png?resizew=511)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c309e58bf083bad13abd549720a63a22.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
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解题方法
8 . 四棱锥
中,平面
平面
,
,
,
,
是正三角形,点
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/618c6c13-24ed-478c-95b8-902abfc86752.png?resizew=179)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4597d855b2f429e7de7eae40f2126adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c72b92177ddfe056e6f90af4f37e64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b0c41f8695cc909dd9395ef0726cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5be26aeb069535502a13e920eed29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea107ae225808b5d1ace2d69532050ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781e6927e3bc512359dc8b0c11e195d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/618c6c13-24ed-478c-95b8-902abfc86752.png?resizew=179)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53d5c96de34fcf95794e51c2761b671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f35614aff055b98b76ca262f64e629d.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910043595f4eed0c5b2a2246bec3664c.png)
您最近一年使用:0次
2021-11-12更新
|
147次组卷
|
2卷引用:江西省山江湖协作体2021-2022学年高二(自招班)上学期联考数学(理)试题
名校
解题方法
9 . 如图,在四棱锥
中,
底面
,底面
是直角梯形,
,
点在
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/ae75f800-ed5a-42a4-9225-4a7a6c44820e.png?resizew=135)
(1)已知点
在
上,且
,求证:平面
平面
.
(2)求点
到平面
的距离.
(3)当二面角
的余弦值为多少时,直线
与平面
所成的角为
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.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/90ff6d7dd48b57f03d82d2c522ee9b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57af6716734f5c1b63a9376712fcfbc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ab1959f7fa560977ffb9fb0e11bb2c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/ae75f800-ed5a-42a4-9225-4a7a6c44820e.png?resizew=135)
(1)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0ce7aaca2b6725dac7ed5d2a437aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f020ca4ad44801691235958e253907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(3)当二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce81faef7c631553e02d7468973a74cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
您最近一年使用:0次
2021-11-08更新
|
1498次组卷
|
2卷引用:江西省永新中学2021-2022学年高二上学期第一次段考数学(理)试题
名校
10 . 已知点M是棱长为3的正方体
的内切球O球面上的动点,点N为线段
上一点,
,
,则动点M运动路线的长度为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/09cc9d47-9969-4c06-9f5d-ff4ad2a4cf49.png?resizew=188)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dffc53a25f1afa4a341a2c6ae210266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d3505c92b870c0dea9d9e8575f7523.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/09cc9d47-9969-4c06-9f5d-ff4ad2a4cf49.png?resizew=188)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-10-24更新
|
3221次组卷
|
6卷引用:江西省九江市第一中学2021-2022高二上学期第一次月考数学(理)试题
江西省九江市第一中学2021-2022高二上学期第一次月考数学(理)试题(已下线)专题9.1—立体几何—表面积与体积1—2022届高三数学一轮复习精讲精练山西省太原市2022届高三二模数学(理)试题(已下线)专题1 阿波罗尼斯圆及其应用 微点5 阿波罗尼斯球河南省郑州外国语学校2022-2023学年高三下学期第五次调研数学试题(已下线)第五篇 向量与几何 专题1 蒙日圆与阿氏圆 微点8 阿波罗尼斯球