解题方法
1 . 假设甲同学每次投篮命中的概率均为
.
(1)若甲同学投篮4次,求恰好投中2次的概率.
(2)甲同学现有4次投篮机会,若连续投中2次,即停止投篮,否则投篮4次,求投篮次数
的概率分布列及数学期望.
(3)提高投篮命中率,甲学决定参加投篮训练,训练计划如下:先投
个球,若这
个球都投进,则训练结束,否则额外再投
个.试问
为何值时,该同学投篮次数的期望值最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)若甲同学投篮4次,求恰好投中2次的概率.
(2)甲同学现有4次投篮机会,若连续投中2次,即停止投篮,否则投篮4次,求投篮次数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(3)提高投篮命中率,甲学决定参加投篮训练,训练计划如下:先投
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f174e6fc40d685bb037f909967634f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c733a209a0091d418d8f14b7fba88dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
2 . 已知数列
的通项公式为
.
(1)判断
是不是数列
中的项;
(2)试判断数列
中的项是否都在区间
内.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb403a42abc5c4a075d192595952278.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382a7dfde5579a759b33425cca8e47ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)试判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
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解题方法
3 . 数列
满足
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d19b1bb59962c993a48919ae038b779.png)
A.![]() | B.数列![]() |
C.若![]() ![]() | D.若![]() ![]() ![]() |
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2024-06-16更新
|
173次组卷
|
2卷引用:江西省部分学校2023-2024学年高二下学期第二次月考(5月联考)数学试题
解题方法
4 . 已知数列
的通项公式为
,前
项和为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0604dd7db130ed9402391d319379eae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.数列![]() ![]() |
B.使![]() ![]() |
C.满足![]() ![]() ![]() |
D.使![]() ![]() |
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解题方法
5 . 若数列
满足,对任意正整数n,恒有
,则
的通项可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d97c6c5a8ff159a689e10f3f643f2fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 记正项数列
的前
项和为
,若
,则
的最小值为__________ .
![](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/57deda4866b0d5825402b9153cdd6b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a83bd56182758d8ef1e15eb5ad3dd9f.png)
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2024-05-16更新
|
495次组卷
|
3卷引用:重庆康德卷2024年普通高等学校招生全国统一考试高三第二次联合诊断考试数学试题
重庆康德卷2024年普通高等学校招生全国统一考试高三第二次联合诊断考试数学试题 浙江省绍兴市第一中学2024届高三下学期5月模拟数学试题(已下线)贵州省贵阳市南明区部分学校2023-2024学年高二下学期6月联考数学试题
解题方法
7 . 已知数列
的首项
,且满足
.
(1)求
的通项公式;
(2)已知
,求使
取得最大项时
的值.(参考值:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7508a63d0d5e6baf68c0765596f3627a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4083aeaa11c0f3b3985e654735def3.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/5638d4addea4a438000584d81da1c5da.png)
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2024-05-07更新
|
671次组卷
|
2卷引用:安徽省江淮十校2024届高三第三次联考数学试题
解题方法
8 . 已知n为正整数,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3119d53efb32cd36255815c962be6ff8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知数列
的通项公式为
,令
,数列
的前
项和为
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e63336008367c3a3c56abbc2b229f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/230ae9538a1b0ec62c3491cbce25df8f.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)
A.数列![]() |
B.使![]() |
C.满足![]() ![]() |
D.使![]() ![]() |
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解题方法
10 . 已知数列
的通项公式为
,前
项和为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d179551bb71631171ff3b4329fa4d98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.数列![]() | B.使![]() ![]() |
C.满足![]() ![]() ![]() | D.使![]() ![]() |
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