19-20高一·浙江杭州·期末
名校
解题方法
1 . 如图,三棱台ABC-DEF中,∠ABC=90°,AC=2AB=2DF,四边形ACFD为等腰梯形,∠ACF=45°,平面ABED⊥平面ACFD.
(2)求直线BD与平面ABC所成角的正弦值.
(2)求直线BD与平面ABC所成角的正弦值.
您最近一年使用:0次
2022-11-23更新
|
1279次组卷
|
9卷引用:江西省宁冈中学2020-2021学年高二上学期第二次段考数学(理)试题
江西省宁冈中学2020-2021学年高二上学期第二次段考数学(理)试题(已下线)第15课时 课中 平面与平面垂直的性质广东省广东实验中学2023届高三上学期第二次阶段考数学试题(已下线)【新东方】杭州新东方高中数学试卷356浙江省杭州地区(含周边)重点中学2020-2021学年高三上学期期中数学试题(已下线)第35讲 利用传统方法解决立体几何中的角度与距离问题-2022年新高考数学二轮专题突破精练(已下线)数学(上海A卷)(已下线)8.6.2直线与平面垂直的性质定理(第2课时)(精讲)(1)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)模块五 专题1 全真基础模拟(人教B)
2 . 如图,在棱长为a的正方体ABCD-A1B1C1D1中,E、F分别是AA1与CC1的中点.
平面FBD;
(2)求平面EB1D1与平面FBD之间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
(2)求平面EB1D1与平面FBD之间的距离.
您最近一年使用:0次
解题方法
3 . 如图,四棱锥
中,底面
为矩形,
平面
,点
在
上.
![](https://img.xkw.com/dksih/QBM/2022/4/8/2953804120588288/2955155391324160/STEM/8246119f39c0490da21af1db6b622b10.png?resizew=354)
(1)若
为
的中点,证明:
平面
.
(2)若
,
,
,判断点
在
什么位置时,使得三棱锥
的体积为
.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2022/4/8/2953804120588288/2955155391324160/STEM/8246119f39c0490da21af1db6b622b10.png?resizew=354)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe88fb8bc8fe985cf2bb29003cc9111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b565e518d475a50358fedff2f0bb8dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b5fbe28568ebd64ab812a81ee8c46d.png)
您最近一年使用:0次
4 . 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)
您最近一年使用:0次
2022-04-10更新
|
609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 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)(已下线)第02讲 基本图形的位置关系(2)
名校
解题方法
5 . 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.
您最近一年使用:0次
2022-02-16更新
|
261次组卷
|
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
6 . 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
7 . 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________ .
您最近一年使用:0次
8 . 如图,四棱柱
的底面
为平行四边形,其中
平面
,
,
,
分别为线段
,
的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878777900204032/2880248007647232/STEM/ae4500928ffb45099f012b126ecc5eda.png?resizew=231)
(1)求证:平面
平面
;
(2)若
,
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878777900204032/2880248007647232/STEM/ae4500928ffb45099f012b126ecc5eda.png?resizew=231)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038b970e78494969975c94dc53a33c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9615856aad70897e3d4c0b91a865d799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
您最近一年使用:0次
9 . 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.
您最近一年使用:0次
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
10 . 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)
您最近一年使用:0次