解题方法
1 . 对于数列
,设甲:
为等差数列,乙:
,则甲是乙的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f7a0a63fb0e4c1786daa94333c0bb1.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2 . 在
中,三个内角
成等差数列,则
( )
![](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/29d40bd9ac27b0e7d953fbe888e50fb7.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
2024-05-20更新
|
1294次组卷
|
3卷引用:浙江省杭州地区(含周边)重点中学2023-2024学年高二下学期期中考试数学试题
3 . 在已知数列
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a991e58b3ec277961308764df17c7e6.png)
(1)求
及数列
的通项公式;
(2)已知数列
的前
项和为
,求证:
;
(3)
中是否存在不同的三项
恰好成等差数列?若存在,求出
的关系;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a991e58b3ec277961308764df17c7e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](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/8a43df8dc310b81a25d15b127ba31bc9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bf75ce45cec84510cb440aa94c4cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c5fe8a9ad42e52a8a40242865c6752.png)
您最近一年使用:0次
4 . 随机变量X的分布列如下:
其中a,b,c成等差数列,则
可以为( )
X | ![]() | 0 | 1 |
P | a | b | c |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e45e5ca54f407c87501c4f0bc4ec9d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 正项数列
中,
,对任意
都有
.
(1)求数列
的通项公式及前
项和
;
(2)设
,试问是否存在正整数
,使得
成等差数列?若存在,求出所有满足要求的
;若不存在,请说明理由.
![](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/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44dc4c4ed80420af8e5dbac7a12b5ef.png)
(1)求数列
![](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)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da9c93911c62cb0604be5835400d74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02ed2127693ea75aa7e1fe1e1aa06eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4f74da59a581752f49cc43007ef6a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02ed2127693ea75aa7e1fe1e1aa06eb.png)
您最近一年使用:0次
2023-11-14更新
|
361次组卷
|
2卷引用:浙江省金华第一中学2023-2024学年高二上学期11月期中数学试题
6 . 等比数列
的公比为2,且
成等差数列.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab965b07c18f28056b98143e06ee3ad1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab635d6878425839863e10b829d829c1.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
解题方法
7 . 已知正项等比数列
,其前
项和为
,且
成等差数列,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d1e6f356ea7529b3eb5654fd725fec.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/ef147a0c77e88348c906afb80a84c148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67f1203c3fdc21d671e440fc0585f4f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知
是数列
的前n项和,
,
,当数列
的前n项和取得最大值时,n的值为( )
![](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/a6fe438924c97c8ecd69dd66aa6c7fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5403efcda497937d38ab6420f0cbaaec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56735454e0a7b1ae167128a326b4425.png)
A.30 | B.31 | C.32 | D.33 |
您最近一年使用:0次
2023-03-22更新
|
1477次组卷
|
7卷引用:浙江省杭州市第十四中学2022-2023学年高二下学期阶段性测试(期中)数学试题
浙江省杭州市第十四中学2022-2023学年高二下学期阶段性测试(期中)数学试题(已下线)【2023】【高二下】【期中考】【368】【高中数学】【马定超收集】辽宁省沈阳市第二十中学2022-2023学年高二下学期4月月考数学试题贵州省2023届高三3+3+3高考备考诊断性联考(二)数学(文)试题贵州省2023届高三3+3+3高考备考诊断性联考(二)数学(理)试题(已下线)专题14 数列(2)(已下线)专题07 数列-2
名校
解题方法
9 . 已知椭圆
:
,设过点
的直线
交椭圆
于
,
两点,交直线
于点
,点
为直线
上不同于点A的任意一点.
,求
的取值范围;
(2)若
,记直线
,
,
的斜率分别为
,
,
,问是否存在
,
,
的某种排列
,
,
(其中
,使得
,
,
成等差数列或等比数列?若存在,写出结论,并加以证明;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c1fb9f8b59508b1b58180c899d1787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93d5f956a50f96f2b257a61bcd1db09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4c865445dda4a59b6d5cb18fd74404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cc03cd251a03b73ebae3ea1d6bca76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2eb8885dc1f43959efc27d89291c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b84ad6ffc62173c68ff3ca5cf19f14b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5cfbf857a2ac07cbdada127302a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cc03cd251a03b73ebae3ea1d6bca76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2eb8885dc1f43959efc27d89291c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b84ad6ffc62173c68ff3ca5cf19f14b9.png)
您最近一年使用:0次
2023-03-18更新
|
1531次组卷
|
4卷引用:浙江省宁波市余姚中学2022-2023学年高二下学期期中数学试题
名校
10 . 下列说法正确的是( )
A.若数列![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-03-09更新
|
349次组卷
|
3卷引用:浙江省杭州市第十四中学2022-2023学年高二下学期阶段性测试(期中)数学试题
浙江省杭州市第十四中学2022-2023学年高二下学期阶段性测试(期中)数学试题(已下线)【2023】【高二下】【期中考】【368】【高中数学】【马定超收集】湖北省十堰市普通高中协作体2022-2023学年高二下学期3月月考数学试题