名校
解题方法
1 . 长方形
中,
,M是
中点(图1),将
沿
折起,使得
(图2),在图2中
平面
;
(2)在线段
上是否存点E,使得平面
与平面
的夹角为
,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804c0e2a375b5f4ff1c420532968efc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb5012f6c70a1e98d682b6d021fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0760712e3e2ea02b755b751e760d0c55.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddb7c2ca1b6bee86cb24fed02e40da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d4a244bd6c29b79ddbf0bbdaf6cd14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
您最近一年使用:0次
2023-08-17更新
|
788次组卷
|
8卷引用:重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题
重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题辽宁省丹东市2018届高三上学期期末教学质量监测数学理试题安徽省马鞍山市红星中学等3校2022-2023学年高二上学期期中联合调研数学试题河南省濮阳市2023-2024学年高二上学期9月大联考数学试题广东省湛江市雷州市第一中学2023-2024学年高二上学期第一次月考数学试题陕西省西安市长安区2023-2024学年高二上学期10月月考数学试题贵州省都匀兴华中学2023-2024学年高二上学期阶段测试(一)数学试题(已下线)期中真题必刷压轴60题(18个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)
名校
2 . 如图,在直三棱柱
中,
,
,
,点
分别为
的中点.
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9ad711b25c36dae0c2a2cedff9954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79faaf0e895a5e3edf40756d990e1161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b7b64bf23664be400db78aacc306ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc725182c2fd1413319fea35b95c7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
2023-10-22更新
|
869次组卷
|
32卷引用:重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题
重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题【市级联考】海南省海口市2019届高三高考调研测试卷(理科)数学试题【全国百强校】江苏省沭阳县修远中学2018-2019学年高二下学期第二次月考数学(理)试题辽宁省沈阳市郊联体2018-2019学年高二下学期期末数学(理)试题2019届贵州省黔东南州高三下学期第一次模拟考试(理)数学试题山西省2018-2019学年高二上学期期末联合考试数学(理)试题云南省昆明市东川区明月中学2018-2019学年高二下学期期中考试数学(文)试题安徽省阜阳市界首市2019-2020学年高二上学期期末数学(理)试题宁夏回族自治区银川一中2020届高三第四次模拟考试数学(理)试题人教A版(2019) 选择性必修第一册 过关斩将 第一章 空间向量与立体几何 专题强化练2 空间向量与立体几何的综合应用广西防城港市防城中学2021届高三10月月考数学(理)试题(已下线)专题02 空间向量与立体几何-空间向量与立体几何的综合应用-2021-2022学年高二数学同步练习和分类专题教案(人教A版2019选择性必修第一册)青海省海南州高级中学2021-2022学年高三上学期摸底考试理科数学试题(已下线)专练8 专题强化练2-空间向量与立体几何的综合应用-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)(已下线)期中考试重难点专题强化训练(1)——向量的综合运用-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)广东省佛山市南海区桂城中学2021-2022学年高二上学期第二次大测数学试题广东省信宜市第二中学2021-2022学年高二下学期月考一数学试题辽宁省鞍山市2022-2023学年高二上学期期中数学试题辽宁省沈阳市第二中学2022-2023学年高三上学期期中数学试题浙江省金华市江南中学等两校2022-2023学年高二上学期12月阶段测试数学试题安徽省合肥市庐江县2021-2022学年高二上学期期末数学试题广东省汕头市金山中学2022-2023学年高二下学期期中数学试题广东省江门市开平市2022-2023学年高二上学期期中考试数学试题广东省汕头市潮阳区河溪中学2022-2023学年高二上学期期中数学试题上海市大同中学2024届高三上学期开学考数学试题广东省东莞市海德实验学校2023-2024学年高二上学期10月月考数学试题江西省抚州市乐安县第二中学2024届高三上学期11月期中检测数学试题安徽省安庆市第二中学2021-2022学年高二上学期10月阶段考试数学试题辽宁省辽东南协作校2023-2024学年高二上学期12月月考数学(A卷)试题云南省大理市大理州实验中学2021-2022学年高二下学期见面考试数学试题上海市松江一中2024届高三下学期阶段测试1数学试题广东省东莞市光正实验学校2022-2023学年高二上学期第一次月考数学试卷
名校
解题方法
3 . 如图,在四棱锥
中,
平面
,底部
为菱形,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2020/11/14/2592949015986176/2593555267026944/STEM/54390857808548b78ae3c0478e652e41.png?resizew=265)
(1)求证:
;
(2)若
,求证:平面
平面
.
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2020/11/14/2592949015986176/2593555267026944/STEM/54390857808548b78ae3c0478e652e41.png?resizew=265)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5d56d8170b764b80a672cd6c861921.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6c2dad46a9052a4185a4f7b4ae8a2e.png)
您最近一年使用:0次
2020-11-15更新
|
512次组卷
|
7卷引用:重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题
名校
解题方法
4 . 如图,
平面
,四边形
为矩形,四边形
为直角梯形,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/a1431e32-16b3-4c32-bd49-07c641e2076d.png?resizew=174)
(1)求证:
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.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/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99dfe4b6028cd0a29953bbb50c5a33b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/a1431e32-16b3-4c32-bd49-07c641e2076d.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b92bdf778aa32f238bad820d72d62f0.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d435a91c0447826d31158be0ce5a9e6d.png)
您最近一年使用:0次
名校
5 . 如图,四棱锥P-ABCD中,底面ABCD为矩形,PD⊥平面ABCD,点E、F分别是AB和PC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/961c6f82-b6fa-4f7c-939c-4cb71f36f319.png?resizew=191)
(1)求证:AB⊥平面PAD;
(2)求证:EF//平面PAD.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/961c6f82-b6fa-4f7c-939c-4cb71f36f319.png?resizew=191)
(1)求证:AB⊥平面PAD;
(2)求证:EF//平面PAD.
您最近一年使用:0次
2019-10-04更新
|
908次组卷
|
6卷引用:重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题
名校
解题方法
6 . 已知函数
(
是常数),且
,
.
(1)求
的值;
(2)当
时,判断
的单调性并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ef6aa2be05c634493bbd7f2f732eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c7c553d0f15facbbd2f35bc728d32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc38756cc1783da1370c90beac9ff1cf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c7c553d0f15facbbd2f35bc728d32b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568cad467cd0bb87f7f82b7e5942f25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-02-15更新
|
162次组卷
|
3卷引用:重庆市松树桥中学2019-2020学年高一上学期第一次阶段性考试数学试题
名校
解题方法
7 . 在
中,角
,
,
所对的边分别为
,
,
,且
.
(1)求证:
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f296989add06c4bc2207a20b0746e533.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff7989c371fc6dd1627bdb88fcb917d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b9446d7b31f0d6e044cf99deeb20aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
您最近一年使用:0次
名校
解题方法
8 . 已知定义在
上的函数
对任意实数
都满足
,且
.当
时,
.
(1)求
的值;
(2)证明:
在
上是增函数;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d701d16d9f318ee8fa779f5b961d64c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acb44dec40c697916cbcc39805b00fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a98717f40c32b9ed1a29edc6b9f527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21779d5fd3c986b18959066acf898dc9.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b4d5ce009e00c7e8cb4927895a03ec.png)
您最近一年使用:0次
名校
解题方法
9 . 如图,三棱柱
中,侧面
为菱形,
的中点为
,且
平面
.
![](https://img.xkw.com/dksih/QBM/2020/2/9/2395180957474816/2395793034846208/STEM/81ba365c-678c-4968-920c-497ef6a52dbe.png)
(1)证明:
;
(2)若
,
,
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/2020/2/9/2395180957474816/2395793034846208/STEM/81ba365c-678c-4968-920c-497ef6a52dbe.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db87b41df9d3c83d2810a4265d768d3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7fd49bb962841b4575805030e19add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2e238b2757353026133bbe495645e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea67423ce6963c0972867306169f17a.png)
您最近一年使用:0次
2020-02-10更新
|
397次组卷
|
3卷引用:重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题
名校
10 . 数列
满足
.
(1)设
,求证:
为等差数列;
(2)求数列
的前
项和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97fbe2e6b5b0188176638ed428d7e58.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65398e7feba986045166ae918acd255a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2018-05-07更新
|
965次组卷
|
4卷引用:重庆市松树桥中学2018-2019学年高一下学期期中数学试题