名校
解题方法
1 . 已知平面
与
为两个完全不重合的平面,
与
也为两不同的直线,则对此下列说法正确( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e561193f48f882375ba882aa502e32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca70c02bbb9a5f2c971e1e2846a04ae4.png)
A.若α∥β,![]() ![]() | B.若![]() ![]() ![]() |
C.若α∥![]() ![]() | D.若面α⊥面β,![]() ![]() |
您最近一年使用:0次
2021-09-15更新
|
920次组卷
|
3卷引用:2021年浙江省普通高中学业水平模拟考试数学试题
解题方法
2 . 如图,正方体
的棱长为1,点
分别为
中点.
![](https://img.xkw.com/dksih/QBM/2020/12/21/2619078486417408/2623820449767424/STEM/f681f803-5c58-494c-9a19-4f621356668f.png?resizew=283)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0f067a2a348ceb24a408f82992eab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b0cacb00909cf845e316fc3a00829c.png)
![](https://img.xkw.com/dksih/QBM/2020/12/21/2619078486417408/2623820449767424/STEM/f681f803-5c58-494c-9a19-4f621356668f.png?resizew=283)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b8c2721ada247b03f41f328539b301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231673dd67ab79d3c5da73904ceade1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
您最近一年使用:0次
2020-12-28更新
|
1264次组卷
|
2卷引用:福建省2021届普通高中学业水平合格性考试(会考 )适应性练习数学试卷五试题
名校
解题方法
3 . 如图,点P为菱形ABCD所在平面外一点,PA⊥平面ABCD ,点E为PA的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/aeffbcef-be98-4d1f-800d-5437ed4896a7.png?resizew=215)
(1)求证: PC//平面BDE;
(2)求证: BD⊥平面PAC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/aeffbcef-be98-4d1f-800d-5437ed4896a7.png?resizew=215)
(1)求证: PC//平面BDE;
(2)求证: BD⊥平面PAC.
您最近一年使用:0次
2020-04-17更新
|
1496次组卷
|
3卷引用:云南省2019-2020学年1月普通高中学业水平考试数学试题
解题方法
4 . 如图,
、
是以
为直径的圆上两点,
,
,
是
上一点,且
,将圆沿直径
折起,使点
在平面
的射影
在
上,已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/53bb030d-135e-4660-a269-1ed1e060e3d0.png?resizew=274)
(1)求证:
⊥平面
;
(2)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
平面
;
(3)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/ee6700eacd559c8820a5a5631aee02d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e77686cf448ff6cea9bfc021581da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3acee288e75061ac72203b09fce29904.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/53bb030d-135e-4660-a269-1ed1e060e3d0.png?resizew=274)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217286e225eee4d5b7a7041c027393a1.png)
您最近一年使用:0次
2020-03-16更新
|
338次组卷
|
3卷引用:河南省焦作市2014-2015学年上学期高一学业水平测试数学试卷
河南省焦作市2014-2015学年上学期高一学业水平测试数学试卷湖北省恩施州清江外国语学校2019-2020学年高二上学期期末数学试题(已下线)卷10-备战2020年新高考数学自学检测黄金10卷-《2020年新高考政策解读与配套资源》
解题方法
5 . 已知三棱锥中
,
平面
,
,
.
、
、
分别为
、
、
的中点.(锥体体积公式
,其中
为底面面积,
为高)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/e3d0ae1e-0b5d-4256-ad9a-de36de263e32.png?resizew=167)
(1)证明:
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eaa1a14893960a7032a20c06de41ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aedf65d7d930fdb972d4802c0dea8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7309683ff41a94e5c5cfeabaeda52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/e3d0ae1e-0b5d-4256-ad9a-de36de263e32.png?resizew=167)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b81fb655624ff75a5eab94de9b8c8e9.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3daec02423dbc4bf84b8ec462d12b683.png)
您最近一年使用:0次
名校
解题方法
6 . 如图,四棱锥
中,底面
是正方形,
底面
.
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417271005945856/2417893562458112/STEM/3ddce55118aa4ef98e36eae7960777db.png?resizew=177)
(1)求证:
平面
;
(2)若
,求点
到平面
的距离.
![](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://img.xkw.com/dksih/QBM/2020/3/11/2417271005945856/2417893562458112/STEM/3ddce55118aa4ef98e36eae7960777db.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03eb62330742830c9feea17037739dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2020-03-12更新
|
1099次组卷
|
3卷引用:贵州省2017年12月普通高中学业水平考试数学试题
名校
解题方法
7 . 如图,在正方体
中,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/1bcb982b-fed4-47d3-8108-951d17372f76.png?resizew=159)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/1bcb982b-fed4-47d3-8108-951d17372f76.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7542b49ab149f2be8ba6b48392bef1f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc78a86b12ba0b4553135a3a635fc418.png)
您最近一年使用:0次
2020-03-12更新
|
802次组卷
|
2卷引用:河南省2017年1月普通高中学业水平考试数学试题
8 . 如图,四棱锥
中,底面四边形
为菱形,
,
为等边三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/d20eadef-f225-479e-8347-a28537782a2c.png?resizew=157)
(Ⅰ)求证:
;
(Ⅱ)若
,
,求直线
与平面
所成的角.
![](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/cd7a42341edbc0b01ab0769c4c02c3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a93081467096efb97230c0bb1ad7c21.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/d20eadef-f225-479e-8347-a28537782a2c.png?resizew=157)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c964253f04564fbea76307b46a395f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2019-01-12更新
|
5900次组卷
|
8卷引用:甘肃省天水市第一中学2018-2019学年高二下学期第三次学业水平模拟考试数学试题
甘肃省天水市第一中学2018-2019学年高二下学期第三次学业水平模拟考试数学试题【区级联考】天津市蓟州等部分区2019届高三上学期期末联考数学(文)试题【区级联考】天津市部分区2019届高三(上)期末数学(文科)试题【校级联考】湖南省岳阳一中、汨罗市一中2018-2019学年第二学期高一联考数学试题(已下线)【新教材精创】11.4.1直线与平面垂直(第2课时)练习(1)苏教版(2019) 必修第二册 过关斩将 第13章 13.2.3 直线与平面的位置关系 第3课时 距离、直线与平面所成的角四川省峨眉文旅综合高中学校2022-2023学年高二上学期第二次月考数学试题(已下线)2023年高考全国甲卷数学(理)真题变式题16-20