解题方法
1 . 已知直线
:
(
),圆
:
.
(1)试判断直线
与圆
的位置关系,并加以证明;
(2)若直线
与圆
相交于
,
两点,求
的最小值及此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1425947c0960fd29228239c2538ac194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c84f3f44bab965263da8ade60e4606.png)
(1)试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
为奇函数.
(1)求
的值,判断
的单调性(不需要证明);
(2)若
对一切
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad74315be56f0a57a96384a4c69449c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72233bec25b5220b31c9388cbe2d7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
3 . 在三棱台
中,
平面
,
,且
,
,
为
的中点,
是
上一点,且
(
).
平面
;
(2)已知
,且直线
与平面
的所成角的正弦值为
时,求平面
与平面
所成夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8783bc74553bf44b61d999a0e4144bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0b72906641ed13716cfbce50923282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e4a2df58a236c20df5df0d29a466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2e870c95b1ed54b281f93e683578bf.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f14839cf7e3ec6e25b60765ca25b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8047f0a8bd0cf4e250cd0fe80093b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03203dd5ac79dd8c6707e4340773359.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ae300e4ff3e89d0e1e5671eacd9585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03203dd5ac79dd8c6707e4340773359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1145c162038df3c7184d9201c628e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc704b98f4ed2c7359a7a5b6498b5290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03203dd5ac79dd8c6707e4340773359.png)
您最近一年使用:0次
2024-02-17更新
|
1597次组卷
|
4卷引用:四川省绵阳市2023-2024学年高二上学期期末教学质量测试数学试卷
名校
解题方法
4 . 如图,在四棱锥
中,
底面
,四边形
是直角梯形,
,
,点
在棱
上.
平面
;
(2)当
时,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.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/a7dd6f09284794d2c603823033940428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b523f9ea41acf2f5c5724a0824ae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677d1863ff4d8ac1604b18149d4f320f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8733eaae66410b00fd6a84294939b9a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5102c216393e133fa25dba98cd78535.png)
您最近一年使用:0次
2024-01-11更新
|
2294次组卷
|
27卷引用:四川省绵阳市江油市江油中学2022-2023学年高二下学期期末数学理科试题
四川省绵阳市江油市江油中学2022-2023学年高二下学期期末数学理科试题山东省滨州市2022-2023学年高二上学期期末数学试题新疆阿勒泰地区2022-2023学年高二下学期期末考试数学试题北京市第五中学2022-2023学年高二下学期期末检测数学试题陕西省宝鸡市千阳县中学2023-2024学年高二上学期期末复习基础训练数学试题辽宁省重点高中沈阳市郊联体2023-2024学年高二上学期1月期末考试数学试题河南省郑州市第十八中学2023-2024学年高二上学期期末模拟数学试题(二)四川省宜宾市屏山县2023-2024学年高二上学期期末数学试题浙江省宁波市奉化区2023-2024学年高二上学期期末检测数学试题广东省茂名市电白区2023-2024学年高二上学期期末质量监测数学试题四川省绵阳市三台中学校2024届高三下学期第三学月(4月)月考理科数学试题(已下线)1.4.2 用空间向量研究距离、夹角问题(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)第一章 空间向量与立体几何 章末重难点归纳总结-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)(已下线)第06讲 1.4.2用空间向量研究距离、夹角问题(2)山东省烟台市爱华高级中学2023-2024学年高二上学期期中考试数学试题福建省三明市将乐县第一中学2023-2024学年高二上学期第三次月考数学试题陕西省咸阳市高新一中2023-2024学年高二上学期第三次质量检测数学试卷广东省肇庆鼎湖中学2023-2024学年高二上学期12月月考数学试题(已下线)广东省深圳市深圳中学2024届高三一月阶段测试数学试题(已下线)专题13 空间向量的应用10种常见考法归类(4)宁夏回族自治区银川市银川一中2024届高三上学期第六次月考数学(理)试题(已下线)6.3 空间向量的应用 (4)(已下线)专题05 空间向量与立体几何(解密讲义)辽宁省新高考联盟(点石联考)2023-22024学年高二下学期3月阶段测试数学试题(已下线)高二上学期期末考点大通关真题精选100题(1)湖南省邵阳市邵东市第一中学2023-2024学年高二下学期第三次月考数学试题广东省中山市中山纪念中学2023-2024学年高二下学期第二次月考数学试卷
名校
5 . 如图,四棱锥
的底面是矩形,
,
,M为
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/32381c57-0d50-4580-9d41-43705c2f71e1.png?resizew=152)
(1)证明:
底面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0efbdc4cbc82cc55bed9905f81fbfc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fa64045f67d555833032b531695929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e2a44d05b1d387150c4b359e021ffc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/32381c57-0d50-4580-9d41-43705c2f71e1.png?resizew=152)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bec03e804f0cea1db5cde2aa185056a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d98ad030dcb6671c64a24e96d916c8.png)
您最近一年使用:0次
2023-11-30更新
|
464次组卷
|
2卷引用:四川省绵阳市江油中学2023-2024学年高二上学期期末数学模拟试题3
名校
6 . 如图,在四棱锥
中,底面
是边长为2的菱形,
,
是等腰直角三角形,且
,平面
平面
,点E是线段PC(不含端点)上的一个动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/276c5151-6613-4684-a0c6-1740d5302cff.png?resizew=200)
(1)设平面ADE交PB于点F,求证:EF
平面PAD;
(2)当点E到平面PAD的距离为
时,求平面ADE与平面ABCD夹角的余弦值.
![](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/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9b9bb0f509e6f3d30858efb217c1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/276c5151-6613-4684-a0c6-1740d5302cff.png?resizew=200)
(1)设平面ADE交PB于点F,求证:EF
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
(2)当点E到平面PAD的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3aace91caec728e174daec29a3568ae.png)
您最近一年使用:0次
2023-12-20更新
|
713次组卷
|
6卷引用:四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(三)
四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(三)四川省成都市蓉城名校2023-2024学年高二上学期期末联考数学试题(已下线)四川省绵阳市实验高级中学2023-2024学年高二上学期期末模拟数学试题(已下线)专题13 空间向量的应用10种常见考法归类(3)四川省成都市树德中学2023-2024学年高二下学期入学考试数学试卷6.3 空间向量的应用 (5)
名校
7 . 如图,在四棱锥
中,底面
是边长为
的菱形,
,
为正三角形,平面
平面
,
为线段
的中点,
是线段
(不含端点)上的一个动点.
交
于点
,求证:
平面
;
(2)是否存在点
,使得二面角
的正弦值为
,若存在,确定点
的位置;若不存在,请说明理由.
![](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/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f491a794b9ac1a85a18c87ecee616c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98553247801c03de24cf7e687016e655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023-11-09更新
|
2228次组卷
|
7卷引用:四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(五)
四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(五)江苏省镇江市丹阳市2023-2024学年高三上学期10月期中数学试题江苏省连云港市灌云高级中学2024届高三上学期第一次月考数学试题重庆市九龙坡区重庆外国语学校2024届高三上学期12月月考数学试题(已下线)黄金卷08(已下线)模块一 专题6《 空间向量应用》 B提升卷 (苏教版)(已下线)模块三 专题2 解答题分类练 专题4 空间向量的应用(苏教版)
名校
8 . 如图,圆锥的底面圆上有
四点,四边形
是正方形,且
,点
在线段
上,若
.
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
平面
;
(2)若
为等边三角形,点
在劣弧
上运动,记
与平面
所成的角为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801785af6f3e92fc7a91bb974cefcd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc5f52497bb8201303c7ead7fac9e7d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/13943592-42eb-4d38-8248-5bc8afe2521d.png?resizew=133)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466fabcaac59132fea648ff35342ec9d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a33d27a9c655d01f606e9bce02b0a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466fabcaac59132fea648ff35342ec9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
您最近一年使用:0次
2023-11-12更新
|
178次组卷
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2卷引用:四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(六)
名校
解题方法
9 . 如图,等腰梯形中,
,
,现以
为折痕把
折起,使点
到达点
的位置,且
.
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9868f77d5ab5073b6145f1c6d272122e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次
2023-12-08更新
|
1960次组卷
|
8卷引用:四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(一)
四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(一)(已下线)专题4 大题分类练(空间向量与立体几何)拔高能力练 高二期末(已下线)模块三 专题4 大题分类练(立体几何)拔高能力练江西省景德镇市2023届高三第三次质量检测理科数学试题广东省佛山市H7教育共同体2023-2024学年高二上学期数学联考试题湖北省问津教育联合体2023-2024学年高二上学期12月质量检测数学试题(已下线)高二上学期数学期末模拟卷(一)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)(已下线)题型20 6类立体几何大题解题技巧
名校
10 . 已知函数
为奇函数.
(1)求实数
的值;
(2)判断
在
上的单调性,并用定义证明;
(3)若对于任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc25c261cfb3d8134f1681aedb3a52f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd67623d65571ec957c41057a3182a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-11-28更新
|
853次组卷
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5卷引用:四川省绵阳市绵阳中学2023-2024学年高一上学期期末数学模拟试卷(二)