名校
解题方法
1 . 在
中,
,
为
内一点,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1bf25d6d5e19e61b8e30e1f50d23db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf905f3910d9238a44ef647835b3d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d824921dbdfe961d73f8296efef84.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-08更新
|
1583次组卷
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5卷引用:山东省青岛市2024届高三下学期第二次适应性检测数学试题
山东省青岛市2024届高三下学期第二次适应性检测数学试题山东省枣庄市2024届高三三调数学试题(已下线)山东省济南市2024届高三下学期5月适应性考试(三模)数学试题福建省福州市福建师范大学附属中学2024届高三下学期校模拟考试数学试题广西南宁市第三中学2024届高三下学期校二模数学试题
名校
2 . 已知正实数
,
,
,且
,
,
,
为自然数,则满足
恒成立的
,
,
可以是( )
![](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/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7204ebb165d62bf4121ce3ae1b4406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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2024-05-19更新
|
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3卷引用:山东省青岛第二中学2024届高三下学期二模考试数学试题
名校
解题方法
3 . 欧拉函数
的函数值等于所有不超过正整数
且与
互素的正整数的个数,例如:
,
,
,数列
满足
.
(1)求
,
,
,并求数列
的通项公式;
(2)记
,求数列
的前
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd22bd64204bf1ca3b9ca6ee0bda60e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edd29e22f6a7f4d14d9f8d2684d47e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39de1bc04496b97dcf401c669e6ab44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4979e8653dab16e8eff499e327acffc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8feacd08cf0111e8fa1a62f647bb7f2d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef9b91e9ff58a2ccf9ca4f4d88418f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2024-04-19更新
|
2400次组卷
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6卷引用:山东省青岛第二中学2024届高三下学期二模考试数学试题
山东省青岛第二中学2024届高三下学期二模考试数学试题浙江省天域全国名校协作体2023-2024学年高三二模数学试题(已下线)模块4 二模重组卷 第2套 全真模拟卷(已下线)5.2 等差数列和等比数列(高考真题素材之十年高考)(已下线)5.3 数列的求和问题(高考真题素材之十年高考)河南省郑州市宇华实验学校2024届高三下学期5月月考数学试题
4 . 已知函数
满足对任意的
且
都有
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffc8e04902733562565506fb708f9b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a5abe56c019ac914e1fcde1865a747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21a72ed80a1ac5b802f9a934201e988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a9c4d1ac7ebd56bd164748bb412414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783d006a5a03513906b444cd7c89d84e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-19更新
|
2231次组卷
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6卷引用:山东省青岛第二中学2024届高三下学期二模考试数学试题
山东省青岛第二中学2024届高三下学期二模考试数学试题浙江省天域全国名校协作体2023-2024学年高三二模数学试题(已下线)第16题 抽象函数与数列结合(一题多变)(已下线)压轴题01集合新定义、函数与导数13题型汇总 -1(已下线)【讲】专题10 数列与其它知识的交汇问题辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题
5 . 记集合
无穷数列
中存在有限项不为零,
,对任意
,设变换
,
.定义运算
:若
,则
,
.
(1)若
,用
表示
;
(2)证明:
;
(3)若
,
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67c0565c07d0005269831d2598e4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b13cde532d9a4761bf4899a133529bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba8cfb33f75f570c4d9cab8b522be30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b6a570e58ffced45ee4a0e7148310d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a083253cd5a7df93f553e5e71b4aa7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87adb7b83f14cc809c1b7161e83c171f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ddd6fbdbd20f22fdb36d4ca42837cb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1a50e41a8438b4dbec84dd4d8107ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d45070da9bb1194513b7a55430a1cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c27e0b2d15b25bdc9aec9e6069c730.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1196e9280fbc7cbd6a01694af1dd42c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d740bc5b6535731aa5c57b2730ffffbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762cbc90438f98fa66ec9939c9f07fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afcc7d2604b2542e6513c65116075a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b597616902954c408ef4d86b25016c98.png)
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解题方法
6 . 记正项等差数列
的前n项和为
,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cef3d1459b9b87fc90da8adbc1934ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f0db25d3dcc6c2da53b531d48c4c24.png)
A.9 | B.16 | C.25 | D.50 |
您最近一年使用:0次
解题方法
7 . △ABC内角A,B,C的对边分别为a,b,c,若
,
,则△ABC的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8069a69a423e1e19441314e7bb679835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09d3176074ac8b37cccdea181f1dffa.png)
A.1 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 等比数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627411fce8e2b6ab40ac1166b45ada6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
A.32 | B.24 | C.20 | D.16 |
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2024-03-15更新
|
1838次组卷
|
2卷引用:山东省青岛市2024届高三下学期第一次适应性检测数学试题
名校
解题方法
9 . 云冈石窟,古称为武州山大石窟寺,是世界文化遗产.若某一石窟的某处“浮雕像”共7层,每一层的“浮雕像”个数是其下一层的2倍,共有1016个“浮雕像”,这些“浮雕像”构成一幅优美的图案,若从最下层往上每一层的“浮雕像”的个数构成一个数列,则
的值为( )
A.8 | B.10 | C.12 | D.16 |
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2023-09-04更新
|
1611次组卷
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11卷引用:山东省青岛第五十八中学2023届高三一模数学试题
山东省青岛第五十八中学2023届高三一模数学试题福建省宁德第一中学2023-2024学年高二上学期9月第二次考试数学试题天津市第四十五中学2023-2024学年高三上学期第一次月考数学试题(已下线)第五篇 专题2 逆袭90分综合模拟训练(二)(已下线)4.3.3 等比数列的前n项和(6大题型)-【题型分类归纳】2023-2024学年高二数学同步讲与练(苏教版2019选择性必修第一册)(已下线)第4.3.2讲 等比数列前n项和的性质及应用(第2课时)-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)(已下线)热点5-2 等比数列的通项及前n项和(6题型+满分技巧+限时检测)(已下线)1.3.2等比数列的前n项和(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)5.3.2 等比数列的前n项和(3知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)黄金卷06(已下线)4.3.2 等比数列的前n项和公式(6大题型)精练-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)
10 . 记
是数列
的前n项和,
,
.
(1)求数列
的通项公式;
(2)若
,
,
成等差数列,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b78f55d69bb77e25aca85b5d56554c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0814eed359074e05bb576f3ae5f5db80.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71cdb539824e764a9d71d28e3181f42.png)
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