名校
1 . 在数列
中,
,
,则
的前2024项和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71d4a9c13754e4083ba948afd4a35ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.589 | B.590 | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 2021年教育部印发的《进一步加强中小学生体质健康管理工作的通知》中提出,中小学校要保障学生每天校内、校外各1小时体育活动时间,每天统一安排30分钟的大课间体育活动.一学校某体育项目测试有
的人满分,而该校有
的学生每天运动时间超过两个小时,这些人体育项目测试满分率为
.
(1)从该校随机抽取三人,三人中体育项目测试相互独立,求三人中满分人数的分布列和期望;
(2)现从每天运动时间不超过两个小时的学生中任意调查一名学生,求他体育项目测试满分的概率;
(3)体育测试前甲、乙、丙三人传球做热身训练,每次传球,传球者等可能地将球传给另外两个人中的任何一人,第1次由甲将球传出,求第n次传球后球在乙手中的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0797a4e8f5cb2a7746ce2e4ea4e81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee628efd6b2f7296c106dd5cbae42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1065ae0947705c7d16a5a86c78f07e.png)
(1)从该校随机抽取三人,三人中体育项目测试相互独立,求三人中满分人数的分布列和期望;
(2)现从每天运动时间不超过两个小时的学生中任意调查一名学生,求他体育项目测试满分的概率;
(3)体育测试前甲、乙、丙三人传球做热身训练,每次传球,传球者等可能地将球传给另外两个人中的任何一人,第1次由甲将球传出,求第n次传球后球在乙手中的概率.
您最近一年使用:0次
7日内更新
|
163次组卷
|
2卷引用:河北省邯郸市部分示范性高中2024届高三下学期三模数学试题
3 . 已知数列
满足,
,
,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/83eb0330e4696b03f9dd70f276447a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bbf0a641cc462fbed00ff931ac38e6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
162次组卷
|
3卷引用:河北省邯郸市部分示范性高中2024届高三下学期三模数学试题
名校
4 . 已知数列
的前n项和为
且
,给出下列四个结论:①长度分别为
的三条线段可以构成一个直角三角形:②
;③
;④
.其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae734ad099abbb2f7efe7d7a6a4169fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3807e619b383425065eda0ae269ef81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4a02ca421084c3a93d42597bdffb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b3ee64ccd5bb72bbef0f514989c69a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62552c86435988206cdaee449df97a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4024050c475a5fd70d29314576c6d0a1.png)
您最近一年使用:0次
2024-06-10更新
|
300次组卷
|
2卷引用:2024届河北省承德市部分示范高中高三三模数学试题
名校
5 . 已知函数
,若曲线
在
处的切线交
轴于点
,在
处的切线交
轴于点
,依次类推,曲线
在
处的切线交
轴于点
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3d4aa64a22ce09c1b709b1ca37b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8006d0593a060eea090189d52adc5271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d220be549e3c9babdd050548d9406b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b6ea3d654d8ff02dbd6590c6a1bebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dda53a9166c971024a3e6b661019d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e684bbf8039dc14ea6a402f3478b3aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5377b0cb75ba19f70844e628408bc3c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-08更新
|
510次组卷
|
2卷引用:河北省沧州市联考2023-2024学年高三下学期4月月考数学试题
名校
解题方法
6 . 已知数列
满足
,
,
.
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fc7ef06ac7a7b6ed789e95cb28f954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c0e0f79f503685fd53eb521763100e.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b8ba6546805430fcaa9aeeb81ff41c.png)
您最近一年使用:0次
名校
7 . 在数列
中,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2d5f6ce6faf0e01dc769c9949c3437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11075f2c574b6c59b97fb3038000e38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-28更新
|
262次组卷
|
2卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
8 . 已知数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3e9d8f1eb847531b2facb3351e7bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b825a9ea044d414f04fbdb375d2778c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
名校
解题方法
9 . 在数列
中,
,都有
成立.
(1)证明:数列
是等差数列;
(2)若数列
是首项为1的等差数列,求实数
的值及数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b78297a65e7fad69635b19928ecc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2409107e98dbd38ddae5bbe934f1bd2e.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.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)
您最近一年使用:0次
10 . 已知数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baace4b72eca0616a42834e515210a01.png)
(1)写出
;
(2)证明:数列
为等比数列;
(3)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baace4b72eca0616a42834e515210a01.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9341a8e07b3e0af5b65ab199a25b0c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314501f06c7e4bf3112fe41ecac7be68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762bc360e4431d503ae8bd147d5a288c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2024-04-16更新
|
1969次组卷
|
5卷引用:河北省石家庄市2024届高三下学期教学质量检测(二)数学试卷
河北省石家庄市2024届高三下学期教学质量检测(二)数学试卷(已下线)第二套 艺体生新高考全真模拟 (二模重组卷)(已下线)5.3 数列的求和问题(高考真题素材之十年高考)(已下线)压轴题05数列压轴题15题型汇总-1陕西省西安市西安中学2024届高三仿真考试(一)数学试题