1 . “
”表示不大于
的最大整数,例如:
,
,
.下列关于
的性质的叙述中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ddcf99e3e613fd8c8076f7b131161f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df88f17552c22a132b99d768789fb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29af2d49384286f2c948b7f57697c6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
A.![]() |
B.若![]() ![]() |
C.若函数![]() ![]() ![]() ![]() |
D.![]() |
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解题方法
2 . 已知数列
满足点
在直线
上,
的前n项和为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4976cb432a52c2316bc7dad303474c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943f4238284faa89ef999a4dbc2d327e.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/a9efb58b81e74cc19f4412229b9e78d2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-05更新
|
631次组卷
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2卷引用:浙江省宁波市镇海中学2024届高三下学期适应性测试数学试卷
3 . 记
表示不超过
的最大整数,
,如
,已知数列
的通项公式为
,数列
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5027dac76e83372c2b9d7f6db6c14e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b339798efaf7ad24769043fda7dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479de571091410acaeb85803dc7a22c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c9e0eb94b741d48bcb631223c4fd1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877a1c87ad991af9f1f1b1ed302413cb.png)
A.23 | B.22 | C.24 | D.25 |
您最近一年使用:0次
4 . 已知
为公差为2的等差数列
的前
项和,若数列
为等差数列.
(1)求
;
(2)求数列
的前
项和.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832fd7a51831135b6ee6a01981db250e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c0adc9baa0a2bc60e4d8d89e03283c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-04-05更新
|
1297次组卷
|
2卷引用:浙江省杭州市2023-2024学年高三上学期期末数学试题
名校
解题方法
5 . 已知等差数列
的前n项和为
,
,
.
(1)求
;
(2)若
、
、
成等比数列,求k的值.
![](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/5731f65834e58bb01c8d21a695e395ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbfd6b761451716ba3d7130c93497ea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0f6f432fd7c591bed9224cd3c56677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0a9523f2084cf17b8656c11ab1d95e.png)
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解题方法
6 . 记
是公差为整数的等差数列
的前n项和,
,且
,
,
成等比数列.
(1)求
和
;
(2)若
,求数列
的前20项和
.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceda82fbc56d664a5d8b8c9e8de1fd18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c50577e4ada1da0aa7abb890dcf3026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdf21434449236f1d5435bed6bc5e09.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7f2c7f7886b4c988397c9697225c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f710b0e6ccca316852bf3a94f68135.png)
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2024-03-06更新
|
412次组卷
|
2卷引用:浙江省绍兴市诸暨市2023-2024学年高二上学期期末考试数学试题
解题方法
7 . 已知等差数列
的前
项和为
,
,
,则( )
![](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/1f3e9f91a2298b96e8c4b7a07eeb42e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ec42a1fb4d702c725f469141866bad.png)
A.数列![]() | B.![]() |
C.当且仅当![]() ![]() | D.![]() |
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解题方法
8 . 已知数列
和
均为等差数列,它们的前
项和分别为
和
,且
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941495d53a5f8662cd776b47508eac98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bd8c28b60d4742e07823876b2b2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef7fafedea84c9051d9f7ab7732dd4e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知数列
是等差数列,
,
,且
,
,
构成等比数列,
(1)求
;
(2)设
,若存在数列
满足
,
,
,且数列
为等比数列,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b76e4262eae5356bc0bf5a0a7502f94.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f2276571a5ad6b4b0bd9edd092c0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80fce9564af5e6949187b64cb551275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d93bf38e9c424293a5f0498a7f125062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e2d9906d69496a8a4ed2785903fb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e24c0b6a5964ad028bac5e8c10c6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
10 . 已知数列
的前n项和为
.若
为等差数列,且满足
,
.
(1)求数列
的通项公式;
(2)设
,求
.
![](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/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01340bbc0a6719daedfe9465947a97f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f13788313fbdfbb144bbe563c1e2795.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b089110de673910648bffbe0bf2316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2024-03-03更新
|
1715次组卷
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6卷引用:浙江省绍兴市柯桥区2024届高三上学期期末教学质量调测数学试题
浙江省绍兴市柯桥区2024届高三上学期期末教学质量调测数学试题广东省珠海高新区青鸟北附实验学校2023-2024学年高二上学期第一次月考数学试题辽宁省沈阳市辽宁实验中学北校2023-2024学年高二下学期4月阶段测试数学试题山东省德州市齐河县第一中学生态城校区2023-2024学年高二下学期4月月考数学试题(已下线)4.2.2 等差数列的前n项和公式——课后作业(基础版)(已下线)专题02等差数列及其前n项和7种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)