解题方法
1 . 如图,在直三棱柱
中,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/a3acc036-e01d-48a6-8ef3-1a66c959410a.jpg?resizew=126)
(1)证明:
平面
;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf3bff56a7f4ab6c0008e90823025d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289d7a880379d6060065c829b45b0ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/a3acc036-e01d-48a6-8ef3-1a66c959410a.jpg?resizew=126)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d85c8d87197c9ffad619eb3912e1b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6610370a5aefaf45fdb579521484e3b5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e937690538483bca282ff6831772b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bdeec91171e6d0c5247f199ffd7c63.png)
您最近一年使用:0次
2018-03-26更新
|
803次组卷
|
4卷引用:2017届河南豫北名校联盟高三文上精英对抗赛数学试卷2
名校
解题方法
2 . 如图,正方体
绕其体对角线
旋转
之后与其自身重合,则
的值可以是( )
![](https://img.xkw.com/dksih/QBM/2017/11/24/1823950718943232/1826257008001024/STEM/1c62a6dc711b47ef9bb66fe587d707ee.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b435d7fc33860ae191f9111d880b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/2017/11/24/1823950718943232/1826257008001024/STEM/1c62a6dc711b47ef9bb66fe587d707ee.png?resizew=161)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-11-27更新
|
716次组卷
|
16卷引用:河南省豫北豫南名校2018届高三上学期精英联赛数学(理)试题
河南省豫北豫南名校2018届高三上学期精英联赛数学(理)试题河南省豫北豫南名校2018届高三上学期精英联赛(文)数学试题河南省豫北豫南名校2018届高三上学期精英联赛理数试题(已下线)7-1 空间几何体的结构及其三视图和直观图(高效训练)-2019版导学教程一轮复习数学(人教版)2017届河北省衡水中学高三下学期二调考试数学(文)试卷2019届湖南省长沙市第一中学高三第四次月考数学(理)试题重庆市第七中学2022届高三上学期高考仿真预测模拟数学试题2017届高河北省衡水中学三下学期二调考试数学(文)试卷甘肃省张掖市第二中学2021-2022学年高三上学期10月月考数学文科试题四川省遂宁市2017-2018学年高二上学期期末考试数学理试题四川省遂宁市2017-2018学年高二上学期期末考试数学文试题河北省武邑中学2017-2018学年高二上学期期末考试数学(理)试题【全国百强校】河北省唐山一中2017-2018学年高二下学期期中考试数学(文)试题四川省遂宁市2017-2018学年高二上学期教学水平监测数学(理)试题四川省遂宁市2017-2018学年高二上学期教学水平监测数学(文)试题四川省射洪中学校2022-2023学年高二上学期1月月考数学(理)试题
名校
3 . 某几何体的三视图如图所示,则它的表面积是
![](https://img.xkw.com/dksih/QBM/2017/11/24/1823950718943232/1826257007960064/STEM/780b6c3f-3b3a-4e59-bb56-c3d67c618a23.png)
![](https://img.xkw.com/dksih/QBM/2017/11/24/1823950718943232/1826257007960064/STEM/780b6c3f-3b3a-4e59-bb56-c3d67c618a23.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-11-27更新
|
625次组卷
|
5卷引用:河南省豫北豫南名校2018届高三上学期精英联赛数学(理)试题
4 . 如图,已知三棱柱
的所有棱长均为
,平面
平面
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2018/4/27/1933157871656960/1936064367230976/STEM/65e373834b37435ebaf6547f654e0d9f.png?resizew=167)
(1)证明:
;
(2)若
是棱
的中点,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f68ce09db7cb705ab0a43ecf17748e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2018/4/27/1933157871656960/1936064367230976/STEM/65e373834b37435ebaf6547f654e0d9f.png?resizew=167)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04cb9dcf55e30f777ae74fe44e7d1732.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c632eabdaa95f4e9d7fca582218e49e.png)
您最近一年使用:0次
2017-09-19更新
|
782次组卷
|
4卷引用:河南省豫北豫南名校2018届高三上学期精英联赛数学(理)试题
5 . 如图,在三棱柱
中,
为
的重心,
.
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/4107b0d1923d45b09238bc09a28452fe.png)
(1)求证:
平面
;
(2)若侧面
底面
,
,
,求直线
与平面
所成角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec23977096e2408f069d182cbb84952.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/4107b0d1923d45b09238bc09a28452fe.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/0a2d96eb15f34ca797d4cdaae020b3e4.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/3534f11d09ae4ce1b494c0718bf5ef7e.png)
(2)若侧面
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/f130827cc656411b859d442fb13214b8.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/4314e28a5a724d8a82ad4a475a7835c8.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/3203f71d7f474c6eb733c09448d39abc.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/3626d78e70e44179a42520742d11e675.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/477fb6aa067941f59eeab728f3f339d9.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/2634291559384aa89d9326d2dddfe1e5.png)
![](https://img.xkw.com/dksih/QBM/2016/12/29/1619414854590464/1619414855147520/STEM/c47a0a731edf453086a2e2f5e221508a.png)
您最近一年使用:0次
解题方法
6 . 如图,在三棱柱
中,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/0165774f-225f-4557-afa7-056fea9613d2.png?resizew=169)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
平面
;
(2)若
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/0165774f-225f-4557-afa7-056fea9613d2.png?resizew=169)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c287bb15494297df234f700f9f3a90d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffbf41f3890efb6956907ad3c4062a0.png)
您最近一年使用:0次
13-14高一·陕西西安·期末
名校
7 . 已知圆
,若直线
上至少存在一点,使得以该点为圆心,1为半径的圆与圆
有公共点,则实数
的取值范围为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9e926628648abf88e4ee4df3545bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8041c797b98b834c70dbf7d1d4346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2016-12-03更新
|
1476次组卷
|
13卷引用:2017届河南豫北名校联盟高三理上精英对抗赛数学试卷1
2017届河南豫北名校联盟高三理上精英对抗赛数学试卷12017届河南豫北名校联盟高三文上精英对抗赛数学试卷12017届河南豫北名校联盟高三理上精英对抗赛数学试卷22017届河南豫北名校联盟高三文上精英对抗赛数学试卷2河南省豫北名校联盟2017届高三上学期精英对抗赛理数试题河南省豫北名校联盟2017届高三上学期精英对抗赛文数试题2017届江西省师大附中、临川一中高三1月联考数学(文)试卷吉林省吉林大学附属中学2017届高三第八次模拟考试数学(文)试题(已下线)2013-2014学年陕西西安长安一中高一实验班上期末数学卷【全国百强校】福建省厦门第一中学2017-2018学年高一下学期第二次月考数学试题题组训练四 4.2.2 圆与圆的位置关系-2019届高中数学同步“教材变式+对接考点”题组高端训练(必修2)(已下线)【新东方】杭州高二数学试卷2342016-2017学年云南省云天化中学高二上学期期末考试数学(文)试卷