名校
解题方法
1 . 已知
是等比数列,
是其前n项和,满足
,则下列说法中正确的有( )
![](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/48bf2138c305e7d3ab3c2999eec10c60.png)
A.若![]() ![]() |
B.![]() ![]() ![]() |
C.若存在![]() ![]() ![]() ![]() |
D.若存在![]() ![]() ![]() ![]() |
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2024-01-12更新
|
1106次组卷
|
5卷引用: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
2 . 如图,已知正方形
的边长为2,分别取边
的中点
,并连接形成正方形
,继续取边
的中点
,并连接形成正方形
,继续取边
的中点
,并连接形成正方形
,依此类推;记
的面积为
的面积为
,依此类推,
的面积为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3d2faa297324af40f0ea27ac7e653c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9651011a8533cfdd7988e61495bbf039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d659d5601d47fc8e580788f8bfc2cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa87ea03c832e1f4ce4d3256055c721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d88169cf2f7701c7e6ed7c1ee32171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e55e287d09dfa42b27ac66a3ac808db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4abedd7d123e37eeb9188c7d64d072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf95b2e03d60a1ecc36447e2c25bd8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed4684aedf3debd9c5112d925ff78b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddabf77e63bb043fa06ce23b6a8bce0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c58e4415c09a8f9471ce7b806eba50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d923f48adfae8d66a75240e570371c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae160c36edf1f8025b4efe1b2355862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/4b0609ba-5937-479a-a046-434d345cfa21.png?resizew=269)
您最近一年使用:0次
解题方法
3 . 下列有关数列的说法正确的是( )
A.数列![]() ![]() |
B.数列![]() ![]() ![]() |
C.已知![]() ![]() ![]() ![]() ![]() |
D.数列![]() ![]() |
您最近一年使用:0次
4 . 已知等比数列
满足:
,公比
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
A.![]() |
B.![]() |
C.对![]() |
D.![]() |
您最近一年使用:0次
5 . 某种细胞进行分裂时,第一次一个分成两个,第二次两个分成四个,…,以此类推,则一个细胞经过五次分裂后共有细胞
您最近一年使用:0次
名校
6 . 黄金比又称黄金律,是指事物各部分间一定的数学比例关系,即将整体一分为二,较大部分与较小部分之比等于整体与较大部分之比.其中,较大部分与整体之比的比值称为黄金分割数,黄金分割数被公认为最具有审美意义的比例数字.若数列
是以黄金分割数为公比的等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9a7a7c30e3aef713c7847810416071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
您最近一年使用:0次
2023-07-29更新
|
457次组卷
|
4卷引用:江西省南昌市等4地2023届高三下学期7月月考数学试题
解题方法
7 . 某工厂连续7个月(1月份~7月份)生产的零件数逐月递增,且依次成等比数列,已知1月份生产的零件数为m万,2月份与3月份生产的零件数之和是1月份生产的零件数的2.64倍,则( )
A.2月份生产的零件数是![]() |
B.4月份生产的零件数是2月生产的零件数的1.44倍 |
C.3月份生产的零件数是![]() |
D.这7个月生产的零件总数为![]() |
您最近一年使用:0次
解题方法
8 . 小华计划从今年4月开始存钱买车,若他第一个月存10000元,以后每个月在前一个月的基础上增加
.记小华第一个月(今年4月)存入的金额为
元,小华第
个月当月存入的金额为
元.
(1)求小华前3个月的总存款金额;
(2)若小华想购买的汽车售价为11万元,求小华至少要存几个月钱才能全款购买这辆汽车.(取
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9fd62e62750b30638385031737f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)求小华前3个月的总存款金额;
(2)若小华想购买的汽车售价为11万元,求小华至少要存几个月钱才能全款购买这辆汽车.(取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4832a51a95e41f8e4787a7565f5b57.png)
您最近一年使用:0次
解题方法
9 . 如图,正方形
的边长为14cm,
,
,
,
依次将
,
,
,
分为
的两部分,得到正方形
,依照相同的规律,得到正方形
、
、…、
.一只蚂蚁从
出发,沿着路径
爬行,设其爬行的长度为
,
为正整数,且
与
恒满足不等式
,则
的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/19/b0e09387-40dc-4acf-a8b4-99dd35a79c93.png?resizew=379)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94ce22f30a8de2af135de3c89403aff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60fe5130254a1d38bb4fd0015630f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c266cba73c7b8ad86e52aa34892e2239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941e96b41fa7eb82df5892eca05fb9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36134f01da0f13b340e82e8835324f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613e0062111a4337e4f38d0763fac544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e95744f74d9c94650ee0eeb3ea29ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/19/b0e09387-40dc-4acf-a8b4-99dd35a79c93.png?resizew=379)
A.19 | B.20 | C.21 | D.22 |
您最近一年使用:0次
2023-01-16更新
|
365次组卷
|
2卷引用:广东省东莞市第四高级中学2024届高三上学期9月月考数学试题
10 . 古印度数学家婆什伽罗在《丽拉沃蒂》一书中提出如下问题:某人给一个人布施,初日施2子安贝(古印度货币单位),以后逐日倍增,问一月共施几何?在这个问题中,以一个月31天计算,记此人第n日布施了
子安贝(其中
,
),数列
的前n项和为
.若关于n的不等式
恒成立,则实数t的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d29f6c5cd51ddc79afa8837423105d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](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/346d2c195e09424cfedd08554ae493a4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-01-16更新
|
1221次组卷
|
5卷引用:河南省新乡市第一中学2022-2023学年高二下学期3月月考数学试题