1 . 如图,四棱锥
中,底面
是正方形,
平面
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2018/5/5/1938553481633792/1940735921700864/STEM/53c9ec8cd2a7424b8c99ed8f8b79aa71.png?resizew=211)
(1)求证:
平面
;
(2)证明:平面
平面
.
![](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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d4c42112e0a22f240ce2ae432e5b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2018/5/5/1938553481633792/1940735921700864/STEM/53c9ec8cd2a7424b8c99ed8f8b79aa71.png?resizew=211)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3547a914468b082d8d8741b974a03190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2016-12-04更新
|
617次组卷
|
7卷引用:【全国百强校】安徽省淮北市第一中学2017-2018学年高一下学期期中考试数学试题
2 . 如图,正三角形ABE与菱形ABCD所在的平面互相垂直,
,
,M是AB的中点,N是CE的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/54feadb5-9bf7-4f84-974d-f73d90d8fa75.png?resizew=233)
(1)求证:
;
(2)求证:
平面ADE;
(3)求点A到平面BCE的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/54feadb5-9bf7-4f84-974d-f73d90d8fa75.png?resizew=233)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6865234f10d17195c7ca60d62e7b69a1.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a02695cd69ff39af9e1423ec5fdb1f4.png)
(3)求点A到平面BCE的距离.
您最近一年使用:0次
2019-10-08更新
|
2126次组卷
|
2卷引用:2020届安徽省淮北市第一中学高三上学期第四次月考数学(文)试题
3 . 如图,直三棱柱
中,
,且
.
(1)求证:
平面
;
(2) 若
是
的中点,在线段
上是否存在点
,使
平面
?若存在,指出点
的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991ae9db2d7d70ce1d55a345a75b767d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4fcf607b0710d12aaabd17fd053d83.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7caa95b00cb6c2d12b1b9eb666cc848d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2017/2/8/1625055388033024/1625055388598272/STEM/fff37fa0-765b-4ffc-8a22-428e2e77824d.png)
您最近一年使用:0次
2017-02-16更新
|
1021次组卷
|
2卷引用:2017届安徽淮北一中高三文上学期四模数学试卷
名校
4 . 如图所示,在四棱柱
中,底面
是梯形,
,侧面
为菱形,
.
![](https://img.xkw.com/dksih/QBM/2018/5/14/1945307464318976/1947371922358272/STEM/8b35cfd5b3a94a418da21040ede33adf.png?resizew=266)
(Ⅰ)求证:
;
(Ⅱ)若
,
,直线
与平面
所成的角为
,求平面
与平面
所成锐二面角的余弦值.
![](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/0facf189b2a3153beb7b9e077d3b1146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a19e74dfd34b87b2f3e4d16c583cb.png)
![](https://img.xkw.com/dksih/QBM/2018/5/14/1945307464318976/1947371922358272/STEM/8b35cfd5b3a94a418da21040ede33adf.png?resizew=266)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b0bfe1e7a956345f7ed58a3b2faa70.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f28ca4930b132289a485903ad9f1b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171429a1afe5bb4ee4cb811af61b1365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
2016-12-04更新
|
765次组卷
|
5卷引用:2016届安徽省淮北一中高三最后一卷理科数学试卷
5 . 如图,在四棱锥
中,
平面
,底面
是菱形,
,
,
为
与
的交点,
为棱
上一点.
![](https://img.xkw.com/dksih/QBM/2016/6/29/1572841445933056/1572841452249088/STEM/bad3dc3c3b9b45329795d217f4927ffd.png)
(1)证明 :平面
平面
;
(2)若
是
中点,求点
平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e458f4503e211b542f6f30c8a34eaca5.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/63d2fd16d9967444f475c1ddb4657810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f64511fe313509c365731b419aa6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/2016/6/29/1572841445933056/1572841452249088/STEM/bad3dc3c3b9b45329795d217f4927ffd.png)
(1)证明 :平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8398b89462bdd15770ac8a72e38a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次