解题方法
1 . 如图所示,某开发区有一块边长为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
的正方形空地
.当地政府计划将它改造成一个体育公园,在半径为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
的扇形
上放置健身器材,并在剩余区域中修建一个矩形运动球场
,其中
是弧
上一点,
分别在边
上.设
,球场
的面积
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/168266f9-ffe2-4586-9398-e3218f8a6de0.png?resizew=163)
(1)求
的解析式;
(2)若球场平均每平方米的造价为
元,问:当角
为多少时,球场的造价
最低.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.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/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38a6341dbb03ec2c0c10e5353a07c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3029ea5516e56e8d20594c71929624f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340ecf16f5e8ef7f72f956fc02e86d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3029ea5516e56e8d20594c71929624f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99342ab6aac415bbf5bdecd08d2cccb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/168266f9-ffe2-4586-9398-e3218f8a6de0.png?resizew=163)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99342ab6aac415bbf5bdecd08d2cccb.png)
(2)若球场平均每平方米的造价为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd1535418f1f6a2dafcdd0846734f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
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2 . 已知
,
.
(1)求
的值;
(2)求
的值;
(3)在平面直角坐标系
中,以
为始边,已知角
的终边与角
的终边关于
轴对称,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7223bf3fdadd6f44abce82899bc1ec1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798e66272a748ba5cb25316572be95ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4bbb92a13e855b2d3ad6ee7666fb1a4.png)
(3)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323b74b1e7d8a89188b2dfc5d0bc30ec.png)
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3 . 古希腊数学家托勒密(Ptolemy 85-165)对三角学的发展做出了重要贡献,他研究出角与弦之间的对应关系,创造了世界上第一张弦表.托勒密用圆的半径的作为一个度量单位来度量弦长,将圆心角
(
)所对的弦长记为
.例如
圆心角所对弦长等于60个度量单位,即
.则( )
A.![]() |
B.若![]() ![]() |
C.![]() |
D.![]() ![]() |
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4卷引用:云南省昆明市2024届高三“三诊一模”摸底诊断测试数学试题
云南省昆明市2024届高三“三诊一模”摸底诊断测试数学试题江西省赣州市南康中学2024届高三上学期"七省联考"考前数学猜题卷(十)河南省信阳市浉河区信阳高级中学2023-2024学年高三下学期2月月考(高考模拟卷(二))数学试题(已下线)云南省昆明市2024届高三“三诊一模”摸底诊断测试数学试题变式题11-16
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4 . 某兴趣小组对小球在坚直平面内的匀速圆周运动进行研究,将圆形轨道装置放在如图1所示的平面直角坐标系中,此装置的圆心
距离地面高度为
,半径为
,装置上有一小球
(视为质点),
的初始位置在圆形轨道的最高处,开启装置后小球
按逆时针匀速旋转,转一周需要
.小球
距离地面的高度
(单位:
)与时间
(单位:
)的关系满足
.
关于
的函数解析式,并求装置启动
后小球
距离地面的高度;
(2)如图2,小球
(视为质点)在半径为
的另一圆形轨道装置上,两圆形轨道为同心圆,
的初始位置在圆形轨道的最右侧,开启装置后小球
以角速度为
顺时针匀速旋转.两装置同时启动,求
两球高度差的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71a41641aa0d0e45a3c03d3d2c1196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68822fc3008aa306b2e972130764ed98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ff4dd5b7279fc9797cca88061b0202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ce48eafd36547782174eb304d4a003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d1dac9e7694f8b2f0d93c349f2f360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17166d730bec1b4ee345727b42265ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)如图2,小球
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a14aae1aca16567c32e60f6e798e825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
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4卷引用:云南省昆明市官渡区2023-2024学年高一上学期1月期末数学试题
云南省昆明市官渡区2023-2024学年高一上学期1月期末数学试题(已下线)【第三练】5.7三角函数的应用山东省青岛市即墨区第一中学2023-2024学年高一下学期第一次阶段检测数学试题(已下线)江苏省金陵中学、海安中学、南京外国语学校2024届高三三模数学试题
2023高三上·全国·专题练习
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解题方法
5 . 在某海域开展的“海上联合”反潜演习中,我方军舰要到达C岛完成任务.已知军舰位于B市的南偏东
方向上的A处,且在C岛的北偏东
方向上,B市在C岛的北偏东
方向上,且距离C岛
此时,我方军舰沿着
方向以
的速度航行,问:我方军舰大约需要多长时间到达C岛?(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9107007366104f89f6f2b02862e2fab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc8c4c300d672fd1ffacb92a78bbb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c6c656fb08ad41bbb2dd0ace5aeb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1844ed5bb2cd2dd4000782f3e42aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a325f8f0c9e44be7ca832199afddb29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef485c375127c3e304c6bff68ce7437.png)
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3卷引用:第四章 三角函数与解三角形 第七节 解三角形应用举例
(已下线)第四章 三角函数与解三角形 第七节 解三角形应用举例新疆维吾尔自治区伊犁哈萨克自治州霍尔果斯市苏港中学2023-2024学年高一下学期4月月考数学试题四川省绵阳南山中学2023-2024学年高一下学期期中考试数学试题
名校
解题方法
6 . 如图,相距
的
之间是一条马路(
可近似看作两条平行直线),为了测量河对岸一点
到马路一侧
的距离
,小明在
这一侧东边选择了一点
,作为测量的初始位置,其中
与
交于点
,现从点
出发沿着
向西走
到达点
,测得
,继续向西走
到达点
,其中
与
交于点
,继续向西走
到达点
,测得
.根据上述测量数据,完成下列问题.
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e6e41ac221847824a72e964f340f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b749f9acb5f0de709a1709bbdd42614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf3fd4d60a9e870ffc9e0c1d334b9d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2351df22087d65be69519770be21c20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585c0b361a3e508f3dbb27a40b2dad5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe9f0e4f3960df786285ab41d6c97cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186042a81bea21e00da4feadccfc4394.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
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2023-12-07更新
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5卷引用:辽宁省名校联盟2024届高三上学期12月联合考试数学试题
辽宁省名校联盟2024届高三上学期12月联合考试数学试题辽宁省名校联盟2024届高三上学期12月月考数学试题(已下线)第六章 平面向量及其应用(知识归纳+题型突破)2-单元速记·巧练(人教A版2019必修第二册)(已下线)专题11 余弦定理、正弦定理的应用-《重难点题型·高分突破》(苏教版2019必修第二册)河北省衡水市郑口中学2023-2024学年高一下学期质检一数学试题
7 . 已知
,
,
分别为
的三个内角
的对边,若点
在
的内部,且满足
,则称
为
的布洛卡(Brocard)点,
称为布洛卡角.布洛卡角满足:
(注:
).则
( )
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec15e5cb6d4dc2cf6ba0bedd87514448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59cfa6513f26ed47a56cc8478ba5e701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d29c768a4125f2d0a774d3065a28ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5951b002c1d3337489320c5ff7c38893.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知
中,
,点
在边
上,
三等分
,
靠近
靠近
.
(1)若
,且
,求
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9cf954cfee5199ecd6fec55a269d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063d667b18643dea9ee22a9f651df11a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269643af069b213ea9512da5db7bba5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77b1656b687d3de33fa089c1c90b1f1.png)
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名校
9 . 已知向量
,
,设
,且
的图象关于点
对称.
(1)若
,求
的值;
(2)若函数
的图象与函数
的图象关于直线
对称,且
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979c4618657773eec68d284bfdcec328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe9042a5440ccd58df594310ba12091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442b1fa3e260ac1cf49c3abc996e74a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84e2a02b32a01b13d65e5e9c4554c59.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d913b094ff5f3017476afe2ee6476a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e9ebb66e7051f3a933488db91e8cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-09-21更新
|
1248次组卷
|
3卷引用:湖北省黄冈市2023-2024学年高三上学期9月调研考试数学试题
名校
解题方法
10 . 如图所示,某小区内有
四栋楼,在
栋楼处测得
米,
,
,
,
.
(1)求
两栋楼间的距离;
(2)若小区决定沿
方向取
两点与
建设一个三角形花园,且始终满足
,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4020513c097ba34df4b42e297f892cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6037bba27008abc96a6dba99753549ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d40978fbe52316daaaa6bdbb403fea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72cbf1d3c7a3f743e1d6a1c1ffc4d65.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/29/542fc424-300b-4f4f-8e40-ed9695a77141.png?resizew=165)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)若小区决定沿
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1660e78fa0ebf52a5d9045516422b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
您最近一年使用:0次
2023-07-26更新
|
239次组卷
|
2卷引用:安徽省芜湖市2022-2023学年高一下学期期末教学质量统测数学试题