名校
1 . 如图,在长方体
中,侧面
是正方形,且
,点E为BC的中点,点F在直线
上.
(1)若
平面
,求证:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f4f0f539f5b418e4c8169b72f96067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/30/6e793309-44da-4ae7-a663-a7064c18efd5.png?resizew=168)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0447e46f2d9b39960ae1f1294ed8a2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8464f8d92d471c5827bf8c94b6ea12db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94270844f197d524bf1da4f1385befd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8464f8d92d471c5827bf8c94b6ea12db.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45a381a33453534652f66c351379967.png)
您最近一年使用:0次
2023-08-30更新
|
503次组卷
|
3卷引用:北京市2024届新高三入学定位考试数学试题
北京市2024届新高三入学定位考试数学试题北京市东直门中学2024届高三上学期开学考试数学试题(已下线)专题06 二面角4种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)
名校
2 . 如图在几何体
中,底面
为菱形,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/3c437164-6d20-497e-86fb-61d16199cba1.png?resizew=156)
(1)判断
是否平行于平面
,并证明;
(2)再从条件①、条件②、条件③这三个条件中选择一个作为已知,求:
(ⅰ)平面
与平面
所成角的大小;
(ⅱ)求点A到平面
的距离.
条件①:面
面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
条件②:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509d8dd6031dc0ef92075877e53fe201.png)
条件③:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34323137ddb894a70d97511aa5fe6f98.png)
注:如果选择多个条件分别作答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e89556992cbfd7043330ac7421d342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9a68a9b78590c9a9bc1585298705a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b1472e121da0ae5550329cfda5f0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b2bd08b9e6023789c848cc382cb619.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/3c437164-6d20-497e-86fb-61d16199cba1.png?resizew=156)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
(2)再从条件①、条件②、条件③这三个条件中选择一个作为已知,求:
(ⅰ)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
(ⅱ)求点A到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
条件①:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde1e200d1dd5ddc433c876c9d2f688c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509d8dd6031dc0ef92075877e53fe201.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34323137ddb894a70d97511aa5fe6f98.png)
注:如果选择多个条件分别作答,按第一个解答计分.
您最近一年使用:0次
23-24高三下·北京·开学考试
名校
解题方法
3 . 如图,四棱锥
中,底面
为矩形,
平面
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/0e7cb762-7324-48cb-adc9-94501483c4b7.png?resizew=198)
(1)证明:
//平面
;
(2)设
,
,若二面角
的余弦值为
,求
的长.
![](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://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/0e7cb762-7324-48cb-adc9-94501483c4b7.png?resizew=198)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03a08e6ea74ee085ed9dd4a05af94c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e232c260330351c73c3335892e3bf144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
您最近一年使用:0次
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4 . 如图,在直三棱柱
中,
分别为
的中点.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面
;
(2)若点
是棱
上一点,且直线
与平面
所成角的正弦值为
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9566510295543eeac41ec809a3df639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4dfea6353fc25e88535e865a4982cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
您最近一年使用:0次
2024-01-19更新
|
956次组卷
|
4卷引用:北京市门头沟区大峪中学2023-2024学年高二下学期开学考试数学试题
北京市门头沟区大峪中学2023-2024学年高二下学期开学考试数学试题北京市东城区2024届高三上学期期末统一检测数学试题(已下线)广东省深圳中学2023-2024学年高三寒假开学适用性考试数学试题宁夏吴忠市2024届高三下学期高考模拟联考试卷(二)理科数学试题
名校
解题方法
5 . 如图,在五面体
中,四边形
是边长为4的正方形,
,平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
平面
,且
,
,点G是EF的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/108c495f-cfa5-403b-8c38-fec5ed75e0a4.png?resizew=156)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
平面
;
(2)若直线BF与平面
所成角的正弦值为
,求
的长;
(3)判断线段
上是否存在一点
,使
平面
?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb5f97d47fbb49fcfcdc7f5e882a80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee170c82e3dc624dc3016443496a469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38d97f03faed3152db2fd3bd1919944.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/108c495f-cfa5-403b-8c38-fec5ed75e0a4.png?resizew=156)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若直线BF与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec42ae1010746324df9d5d883413526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
(3)判断线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca10800c94228d218f9048a8502a6dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f6039eb12b502683fa787718600206.png)
您最近一年使用:0次
2023-11-08更新
|
384次组卷
|
7卷引用:北京市北京理工大学附属中学2023~2024学年高三下学期(寒假回归)开学考试数学试题
名校
6 . 如图,梯形
,
所在的平面互相垂直,
,
,
,
,
,点
为棱
的中点.
(1)求证:
平面
;
(2)求二面角
的余弦值;
(3)判断直线
与平面
是否相交,并说明理由,若相交,求出
点与交点之间的距离.
![](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/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c91baecb97fadd4f8ab49e6effcbc04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e384431d0368c4ba0e606a359d5d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03cbf820b67429135b49f17fa8afad15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b9fa6f4dab63cb9d63a3330a0aba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/12/c6e85ade-8571-42a3-aff0-592e02768e01.png?resizew=113)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f922d6fcd179b5729e0fe11e71bc1cef.png)
(3)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d70fb53a3bc46be3e6365f5ed26496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
名校
7 . 如图,在四棱锥
中,
,
,底面
为正方形,
分别为
的中点.
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc50e614b8938c3cca6e0806d360613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9425630dcfe5a824c44904d4f71e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a77b6c44873517ed2fe7188f267bc2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/ce6db64e-4be7-40fc-940e-c118c743a710.png?resizew=118)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
您最近一年使用:0次
2023-09-05更新
|
470次组卷
|
6卷引用:北京市丰台区第二中学2024届高三上学期开学考数学试题
北京市丰台区第二中学2024届高三上学期开学考数学试题北京市北京理工大学附属中学2021-2022学年高二12月月考数学试题北京市怀柔区青苗学校2023-2024学年高二上学期期中考试数学试题(已下线)专题3.2 选修一+选修二第四章数列(易)-【满分计划】2021-2022学年高二数学阶段性复习测试卷(人教A版2019选择性必修第二册)广东省深圳市龙华中学2021-2022学年高二上学期第一阶段检测数学试题安徽省六安市舒城县晓天中学2023-2024学年高二上学期第一次月考数学试题
23-24高三上·北京·开学考试
名校
8 . 如图,四棱柱
中,底面
是菱形,
,对角面
是矩形,且平面
平面
.
(1)证明:侧棱
平面
:
(2)设
,若
,求二面角
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/05740f0c6071846227dc0ec177ad15e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/5/c8407671-a1e5-4028-978a-0e76e0bdde8f.png?resizew=170)
(1)证明:侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baa3d0db9ad31d33c2883a6efed1dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d19dcb816db7cc00a3e2e060e85822d.png)
您最近一年使用:0次
名校
解题方法
9 . 如图,在长方体
中,
,
和
交于点E,F为AB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/d10cabcd-e491-44a6-a916-23a8eb044560.png?resizew=198)
(1)求证:
∥平面
;
(2)再从条件①、条件②这两个条件中选择一个作为已知,求
(i)平面CEF与平面BCE的夹角的余弦值;
(ii)点A到平面CEF的距离.
条件①:
;
条件②:直线
与平面
所成的角为
.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f4df0a32a910db7d39695ffd86665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/d10cabcd-e491-44a6-a916-23a8eb044560.png?resizew=198)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
(2)再从条件①、条件②这两个条件中选择一个作为已知,求
(i)平面CEF与平面BCE的夹角的余弦值;
(ii)点A到平面CEF的距离.
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee522794580bdaddf952891eda7eeb06.png)
条件②:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
2023-03-27更新
|
1558次组卷
|
5卷引用:北京第五中学2023-2024学年高三下学期开学检测数学试卷
北京第五中学2023-2024学年高三下学期开学检测数学试卷北京市东城区2023届高三一模数学试题专题08空间向量与立体几何北京卷专题20空间向量与立体几何(解答题)(已下线)模块七 第6套 迎接高考之必做基础热身题( 概率与立几)
名校
10 . 如图,正方形
的边长为
,
,
分别为
,
的中点,在五棱锥
中,
为棱
的中点,平面
与棱
,
分别交于点
,
.
;
(2)若
底面
,且
,求直线
与平面
所成角的大小,并求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4d3d7a05e8f4f5f5a3474cbd0b1e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.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/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be89b9d1709d7974a108142c5fa2ccec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a086b085224857d7d0c92bc5c2d6465.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b1a3078dc4803bd5e16833ddd459e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d58f9019097bd05037aefd5c322916.png)
您最近一年使用:0次
2023-09-29更新
|
476次组卷
|
8卷引用:北京市第八十中学2024届高三下学期开学考试数学试卷