名校
1 . 已知
为等差数列
的前n项和,
,则
( )
![](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/12a59b6d44509728b04821c38e4f0771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9334dc3344670bf8962c98f7893a969e.png)
A.4 | B.6 | C.8 | D.10 |
您最近一年使用:0次
2 . 已知等差数列
的前n项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d0dc3181f37d7da2b3809da52f4769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36243198e5e20c56399e4ad5ac3c519.png)
A.9 | B.12 | C.18 | D.24 |
您最近一年使用:0次
名校
3 . 已知点
,
分别为双曲线
的左、右焦点,点A为C的右顶点,点P为C右支上的动点,记
,
分别为
,
内切圆半径.若
,
,
成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ec1ff9f2eb61dcce94f093c64b9c2a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05dbb85151ab76cf6452c851f53f2d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246482388ea686b373fc1ad3e18347be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ef569668e797b1e94257fd5f4384dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdfc6a59392d1ac3cd89ddc0308864c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96fa27f8db6167d4802a510371077bb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ec1ff9f2eb61dcce94f093c64b9c2a.png)
您最近一年使用:0次
4 . 已知函数
的两个零点分别为
,
,若
,
,
三个数适当调整顺序后可为等差数列,也可为等比数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55dfc9013281f287efec4834f867bcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5a94417d0d62715ea4067280d733df.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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5 . 已知在各项均为正数的等差数列中,有连续四项依次为m,a,4m,b,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
A.![]() | B.![]() | C.![]() | D.4 |
您最近一年使用:0次
2024-05-08更新
|
908次组卷
|
3卷引用:湖南省长沙市第一中学2024届高三下学期月考(八)数学试题
名校
6 . 记
,
分别是数列
,
的前
项和,
,
是等差数列,且
.
(1)若
,
,求
的通项公式;
(2)若
为等差数列,且
,求
.
![](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/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/6e71ea4f1cf744437f385dbb8bd420fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1381f0937c6052ce088e0eaee7df4880.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34c463105463ba91ad2f3472ef24e82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6428dce66561419790580a8d1df5fdb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc49c7a6cf6044252bd55ee240b346e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
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解题方法
7 . 已知各项均为正数的递增数列
的前
项和为
满足
,
,若
成等差数列,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/f9295f2addeeddbc3250bf55b7d215cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67ff6dcb5d05e2aac525e523886a803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205c8e59c272853bb9862d6c188e293b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b759fe25314c5739617adcb3b80f5700.png)
A.11 | B.13 | C.![]() | D.10 |
您最近一年使用:0次
名校
8 . 已知三次函数有三个不同的零点
,函数
.则( )
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
9 . 如图,在中,三个内角
、
,
成等差数列,且
,
.已知点
(未画出),若函数
的图像经过
、
、
三点,且
、
为该函数图像与
轴相邻的两个交点,则( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知
是公比不为1的等比数列
的前
项和,则“
成等差数列”是“存在不相等的正整数
,使得
成等差数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089f16d8941a9a57c89a25d1f5fc1017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ae138b4f85019d3faa39b271342adb.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
2024-03-19更新
|
1350次组卷
|
3卷引用:浙江省宁波市“十校”2024届高三3月份适应性考试数学试题