名校
解题方法
1 . 抛掷一枚不均匀的硬币,正面向上的概率为
,反面向上的概率为
,记
次抛掷后得到偶数次正面向上的概率为
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2024-06-12更新
|
774次组卷
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5卷引用:云南省昆明市第三中学2024届高三下学期高考考前检测数学试卷
云南省昆明市第三中学2024届高三下学期高考考前检测数学试卷河南省郑州市2024届高三第三次质量预测数学试题(已下线)第四套 艺体生新高考全真模拟 (三模重组卷)河南省许昌市许昌高级中学2024届高三下学期三模数学试题(已下线)第4套 新高考全真模拟卷(三模重组)
名校
解题方法
2 . 直线
过函数
图象的对称中心,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d473707f01512369d6566bab0103149d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b2c4aeb4675c5e6c3b366229e53f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4741556c029b5811318746d837cf246.png)
A.9 | B.8 | C.6 | D.5 |
您最近一年使用:0次
2024-06-11更新
|
1141次组卷
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3卷引用:宁夏银川一中、云南省昆明一中2024届高三下学期5月联合考试二模理科数学试卷
名校
解题方法
3 . 在
中,角
所对的边分别为
,且满足
.
(1)求角
;
(2)
为边
上一点,
,且
,求
.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fdb5dc5ba19f185afa017997225a7e7.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d522d41ac7167743fdef46a036bd831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316fba153eea1256199d8472e286eae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa6361e919ac07ee6ed642556e1d1ae.png)
您最近一年使用:0次
2024-06-11更新
|
715次组卷
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3卷引用:云南省2024届高三学期”3_3_3“高考备考诊断性联考卷(二)数学试题
4 .
表示正整数a,b的最大公约数,若
,且
,
,则将k的最大值记为
,例如:
,
.
(1)求
,
,
;
(2)设
.
(i)求数列
的通项公式,
(ii)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8e481033104ef1ddb7a2219c3b9f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23875e4cac68f0005602d53ccab206d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c95177c5f6454d2de54bb7b0c182ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b8114fcc770a8512cf03da137ca4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edd29e22f6a7f4d14d9f8d2684d47e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5491950d23d0f3833de05cc3892cacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7f848e0002222e3fe290e50301e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ccc57e5668f2a2c1cbc078a767b6855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16edf0bda2c47ed55f471a1838cd03dc.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c8984de6da4ed545964278591e014f.png)
(i)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245460a7f2be54fa45095316e71014a1.png)
(ii)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3249cf7161f0672f629c4ede26094673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234b579dd443bcbae9c890ca248519e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-06-09更新
|
88次组卷
|
2卷引用:云南省昆明市第一中学2024届高三第十次考前适应性训练数学试卷
名校
解题方法
5 . 正项数列
的前
项和为
,等比数列
的前
项和为
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91dfd65e02c363292a2e560a438a7113.png)
(1)求数列
的通项公式;
(2)已知数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab475015a71ab9849ecb02936da02dc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91dfd65e02c363292a2e560a438a7113.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adbb1af734df519ad850f4aa570a14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
您最近一年使用:0次
2024-06-08更新
|
1013次组卷
|
3卷引用:云南省昆明市2023-2024学年高三三模数学试题
6 . 记数列
的前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f7eb839ec76eec4bafd3f1658a27d.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00395d6848e19e27f7eae798234dcd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f7eb839ec76eec4bafd3f1658a27d.png)
您最近一年使用:0次
2024-05-14更新
|
701次组卷
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4卷引用:云南省2024届高中毕业生第二次复习统一检测数学试题
云南省2024届高中毕业生第二次复习统一检测数学试题山西省晋城市第一中学校2024届高三下学期高考模拟预测数学试题(已下线)专题3 复杂递推及斐波那契数列相关二阶递推问题【练】(高二期末压轴专项)(已下线)专题07 数列通项与数列求和常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
7 . 作边长为6的正三角形的内切圆,在这个圆内作内接正三角形,然后再作新三角形的内切圆,如此下去,则前n个内切圆的面积之和为( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知
是等差数列,
,且
成等比数列.
(1)求
的通项公式;
(2)若数列
满足
,且
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c036f21d32057a8d5b0061964def180.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74cb30aecbe5a0fc1b53ba738c3c21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a24e6bcf49b8e45531a2d4e4c70c181.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-03-26更新
|
1783次组卷
|
5卷引用:云南省昆明市部分学校2024届高三下学期二模考试数学试题
名校
解题方法
9 .
的内角
的对边分别为
,已知
.
(1)求角
的值;
(2)若
的面积为
,求
.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b31bcbec824fa139079f4d565c575d.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c822e13da88844e7dcc02ecd4ec55e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
您最近一年使用:0次
2024-03-21更新
|
2416次组卷
|
6卷引用:云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试卷
云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试卷云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试卷(已下线)云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试题变式题11-15云南省玉溪市通海一中、江川一中、易门一中三校2023-2024学年高二下学期六月联考数学试卷(已下线)专题11.2正弦定理-重难点突破及混淆易错规避(苏教版2019必修第二册)广东省中山市桂山中学2023-2024学年高一下学期第一次段考检测数学试题
10 . 我国古代名著《庄子•天下篇》中有一句名言“一尺之棰,日取其半,万世不竭”,其意思为:一尺的木棍,每天截取一半,永远都截不完.已知长度为
的线段
,取
的中点
,以
为边作等边三角形(如图1),该等边三角形的面积为
,再取
的中点
,以
为边作等边三角形(如图2),图2中所有的等边三角形的面积之和为
,以此类推,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e73abc8dc057603422c192d530e244d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566b349adddfbd4144f0ecf7a13b05bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1703c824a1b95043221acc63daabe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dedd84baa5219a2af415be51947c301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e73abc8dc057603422c192d530e244d.png)
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2024-02-12更新
|
1254次组卷
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5卷引用:云南省大理白族自治州2024届高三第二次复习统一检测数学试题
云南省大理白族自治州2024届高三第二次复习统一检测数学试题辽宁省沈阳市辽宁实验中学2024届高三下学期高考适应性测试(二)数学试题(已下线)第5讲:数列模型的应用【练】(已下线)【练】 专题9 与图表有关的数列问题(已下线)压轴题05数列压轴题15题型汇总-2