名校
1 . 如图,在四棱锥
中,
平面
,
,底面
是梯形,
,
,
,
为棱
上一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/8f5f9d96-8e3d-4316-a437-3bf24e6772d0.png?resizew=178)
(1)若点
为
的中点,证明:
平面
.
(2)
,试确定
的值使得二面角
的大小为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37002ada5d194d4d062fa3285d7d9824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16114c73382b18f060150f2ab1f1484d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1161e0345b3646c71365430dccbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/8f5f9d96-8e3d-4316-a437-3bf24e6772d0.png?resizew=178)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f3abe8876333c19ae7e36c98a9329b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b0f3113c3f27977a094b87b24fe042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bff9fff7a158e95a7f5041629e7a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
您最近一年使用:0次
2019-12-08更新
|
187次组卷
|
6卷引用:宁夏银川市贺兰县景博中学2020届高三第五次模拟考试数学(理)试题
2 . 如图,
平面
,
,点
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/a30c0447-f790-4a76-837e-5958360079b1.png?resizew=185)
(Ⅰ)求证:
平面
;
(Ⅱ)求二面角
的正弦值;
(Ⅲ)若
为线段
上的点,且直线
与平面
所成的角为
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7910956bbba8ef006f21919ba381f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf7ab831f4d2053cbd4a6d63ad7ac5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd432f644b073d03f1d756df3c3987c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd47a5f168dbbe5c0bfec5e7dfb5687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/a30c0447-f790-4a76-837e-5958360079b1.png?resizew=185)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16835e3f230ba3f543b6804e445e283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fcce61c3d158b5331d6de10db3fb55d.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aca9af25c07f031e00ad681d3d9978.png)
(Ⅲ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53330c107f8245290a5a42c3d356acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358cdecf669033e648c21dcf675df9b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce2790947716b1cfa9c5e7a65db4093.png)
您最近一年使用:0次
2019-06-28更新
|
1792次组卷
|
10卷引用:宁夏银川一中2021届高三第五次月考数学(理)试题
宁夏银川一中2021届高三第五次月考数学(理)试题2019届天津市滨海新区高三高考模拟(5月份)数学(理)试题2020年普通高等学校招生全国统一考试理科数学样卷(五)天津市南开中学2021届高三(上)第一次月考数学试题(已下线)专题20 立体几何综合——2020年高考数学母题题源解密(山东、海南专版)天津市滨海新区塘沽一中2020-2021学年高三上学期第三次月考数学试题天津市武清区杨村第一中学2021届高三下学期开学考试数学试题天津市静海区第六中学2021-2022学年高三上学期第三次月考数学试题天津市第一中学2022届高三下学期5月月考数学试题【区级联考】天津市滨海新区2019届高三毕业班质量监测数学(理工类)试题
名校
解题方法
3 . 如图,平面
平面
,
,四边形
为平行四边形,
,
为线段
的中点,点
满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/fec3480d-215c-4e54-b465-571e26af9f6e.png?resizew=205)
(Ⅰ)求证:直线
平面
;
(Ⅱ)求证:平面
平面
;
(Ⅲ)若平面
平面
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62741dedd8ec945ee4e6c75194e6135c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30ce41868d7e9196cbbcc711910efed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/fec3480d-215c-4e54-b465-571e26af9f6e.png?resizew=205)
(Ⅰ)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc3380658a60e5c139bc30572e0e98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
(Ⅱ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/581c0e742e79c5294feea3671874a093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(Ⅲ)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2019-04-27更新
|
2295次组卷
|
3卷引用:2020届宁夏银川唐徕回民中学高三下学期第一次模拟考试数学(理)试题
4 . 已知在四棱锥
中,平面
平面
,
,
,
,
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/6c44f2f7-b3c9-43c0-ae1b-1adbe950b752.png?resizew=173)
(1)求证:
平面
;
(2)若
与平面
所成角(直线
与其在平面
上正投影相交形成不大于
的角)为
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ad6a0124359e8b9f7649cf0bff51ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1ac2e11788860424508ea9e80cf89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c8a72acdef14452a6c62f2a60a15fe.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/editorImg/2022/12/9/6c44f2f7-b3c9-43c0-ae1b-1adbe950b752.png?resizew=173)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1508f3ca7797b21ee388b56410103c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccfd81d120348601cd611241d1a5dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
5 . 如图,在四棱锥P-ABCD中,已知PA⊥平面ABCD,且四边形ABCD为直角梯形,∠ABC=∠BAD=
,PA=AD=2,AB=BC=1,点M、E分别是PA、PD的中点
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/bc2b22fa-9f50-445b-9760-058af9a3aaf6.png?resizew=191)
(1)求证:CE//平面BMD
(2)点Q为线段BP中点,求直线PA与平面CEQ所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/bc2b22fa-9f50-445b-9760-058af9a3aaf6.png?resizew=191)
(1)求证:CE//平面BMD
(2)点Q为线段BP中点,求直线PA与平面CEQ所成角的余弦值.
您最近一年使用:0次
2018-12-07更新
|
979次组卷
|
5卷引用:【全国百强校】宁夏银川一中2019届高三第四次月考数学(理)试题
6 . 如图所示是一个几何体的直观图、正视图、俯视图、侧视图(其中正视图为直角梯形,俯视图为正方形,侧视图为直角三角形,尺寸如图所示).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/14b3393a-2d00-443e-bdc6-6b69287bac55.png?resizew=377)
(1)求四棱锥P-ABCD的体积;
(2)证明:BD∥平面PEC;
(3)线段BC上是否存在点M,使得AE⊥PM?若存在,请说明其位置,并加以证明;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/14b3393a-2d00-443e-bdc6-6b69287bac55.png?resizew=377)
(1)求四棱锥P-ABCD的体积;
(2)证明:BD∥平面PEC;
(3)线段BC上是否存在点M,使得AE⊥PM?若存在,请说明其位置,并加以证明;若不存在,请说明理由.
您最近一年使用:0次
12-13高三上·福建福州·期中
名校
解题方法
7 . 如图,在三棱锥A﹣BPC中,AP⊥PC,AC⊥BC,M为AB中点,D为PB中点,且△PMB为正三角形,
(1)求证:MD∥平面APC;
(2)求证:平面ABC⊥平面APC.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/3b0b9c0c-ceb1-497c-8fa2-b6a9062986b5.png?resizew=147)
(1)求证:MD∥平面APC;
(2)求证:平面ABC⊥平面APC.
您最近一年使用:0次
2020-10-25更新
|
124次组卷
|
12卷引用:2014届宁夏银川九中高三上学期第五次月考文科数学试卷
(已下线)2014届宁夏银川九中高三上学期第五次月考文科数学试卷(已下线)2013届福建省福州外国语学校高三上学期期中考试文科数学试卷(已下线)2013届北京市北师特学校高三第四次月考文科数学试卷2015-2016学年河南省许昌市三校高一上学期期末理科数学试卷江西省抚州市临川区第一中学2017届高三4月模拟检测数学(文)试题河北省邢台市第一中学2017-2018学年高二上学期第一次月考数学(理)试题【全国百强校】河南省郑州市第一中学2018届高三12月月考数学(文)试题【全国百强校】福建省莆田市第一中学2019届高三上学期第一次月考数学(文)试题福建省泰宁第一中学2020-2021学年高二上学期学分认定暨第一次阶段考试数学试题陕西省宝鸡市扶风县法门高中2020-2021学年高一上学期期末数学试题广西玉林市育才中学2021-2022学年高二上学期开学检测考试数学试题广西壮族自治区南宁市横州市第二高级中学2023-2024学年高二上学期开学考试数学试题
8 . 如图,在四棱锥P-ABCD中,侧面PAD是正三角形,且与底面ABCD垂直,底面ABCD是边长为2的菱形,∠BAD=60°,N是PB的中点,E为AD的中点,过A,D,N的平面交PC于点M.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/ecd8b03b-5409-48fd-8034-f486a3068a3b.png?resizew=207)
求证:(1)EN∥平面PDC;
(2)BC⊥平面PEB;
(3)平面PBC⊥平面ADMN.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/ecd8b03b-5409-48fd-8034-f486a3068a3b.png?resizew=207)
求证:(1)EN∥平面PDC;
(2)BC⊥平面PEB;
(3)平面PBC⊥平面ADMN.
您最近一年使用:0次
2019-02-08更新
|
964次组卷
|
7卷引用:【全国百强校】宁夏银川一中2018-2019学年高一上学期期末考试数学试题
【全国百强校】宁夏银川一中2018-2019学年高一上学期期末考试数学试题山东省寿光现代中学2016-2017学年高一5月检测数学试题(已下线)2018年11月24日 《每日一题》人教必修2-周末培优(已下线)章末检测2(课后作业)-2018-2019版数学创新设计课堂讲义同步系列(人教A版必修2)(已下线)2019年11月23日《每日一题》必修2-周末培优(已下线)【新教材精创】11.4.2 平面与平面垂直(2)导学案(2)沪教版(2020) 必修第三册 高效课堂 第十章 10.4平面与平面位置关系(2)
名校
9 . 在矩形
所在平面
的同一侧取两点
、
,使
且
,若
,
,
.
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5232ca3c1e0ce4064d0094502aacb063.png)
(2)取
的中点
,求证![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f67fbc26a1b02d5e0f0095f9aefb88a.png)
(3)求多面体
的体积.
![](https://img.xkw.com/dksih/QBM/2018/5/22/1950925765763072/1956020593737728/STEM/818187aacc3643c1b0eebcd922350c45.png?resizew=45)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/04deb161bd2a3d80659fdaa491ad93b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637c3153ee2704427a346790a3e6bc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab3181632564c50284bfa4853343b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5232ca3c1e0ce4064d0094502aacb063.png)
(2)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f67fbc26a1b02d5e0f0095f9aefb88a.png)
(3)求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff2b914e5024fee4022223c3d37aa1d.png)
![](https://img.xkw.com/dksih/QBM/2018/5/22/1950925765763072/1956020593737728/STEM/1bef5d8737f6469d9b892d34b04b9a44.png?resizew=156)
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6卷引用:【全国百强校】宁夏银川一中2018届高三第三次模拟考试数学(文)试题
【全国百强校】宁夏银川一中2018届高三第三次模拟考试数学(文)试题【全国校级联考】名校联盟2018届高考第二次适应与模拟数学(文)试题2020届吉林省辽源市田家炳高级中学友好学校第六十八届高三上学期期末联考数学(文)试题(已下线)专题03 几何体的体积求解(第三篇)-备战2020年高考数学大题精做之解答题题型全覆盖黑龙江省大庆市2020届高三第三次高考模拟考试数学(文科)试题安徽省黄山市2022届高三上学期第一次质量检测文科数学试题
名校
10 . 如图,已知
与
分别是边长为1与2的正三角形,
,四边形
为直角梯形,且
,
,点
为
的重心,
为
中点,
平面
,
为线段
上靠近点
的三等分点.
(1)求证:
平面
;
(2)若二面角
的余弦值为
,试求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0cf6e389ec93415eee75a88968e418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82957366f4c9272b6ee99126d4b6bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071159cac13097ea0928285bc1be66d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144338d454844fd4b157a79f72bca4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6895da13331cb525f5850d7b7a02a847.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a8e0c5bcf2d86726cd9f561b8ff5fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d02ae074c7c2f7dfde8058dfa55ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/61932350-0038-493e-ae55-d05a1c59d6ec.png?resizew=200)
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3卷引用:【全国百强校】宁夏回族自治区银川一中2018届高三第三次模拟考试数学(理)试题