名校
1 . 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
名校
解题方法
2 . 已知数列
是等比数列,且
.设
,数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794e305187cc0ca7c94ba37d09afb282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
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2024-02-28更新
|
1224次组卷
|
4卷引用:上海市育才中学2024届高三下学期第一次调研(3月)数学试题
名校
3 . 已知三位整数
满足
的展开式中有连续的三项的二项式系数成等差数列,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1683a69f4a5f09b74beaa8b4ff47d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d764d4ffaae7f74309953eb5ae027b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1683a69f4a5f09b74beaa8b4ff47d0.png)
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2024-02-13更新
|
740次组卷
|
5卷引用:四川省南充市第一中学2023-2024学年高三下学期4月月考数学试题
四川省南充市第一中学2023-2024学年高三下学期4月月考数学试题2024年九省联考数学模拟试卷(已下线)专题12 二项式定理中最值问题(已下线)【讲】专题二 二项式定理应用问题(压轴大全)湖南省长沙市长郡中学2024届高三下学期二模考试数学试题
4 . 已知数列
是等差数列,
表示数列
的前
项和,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674b8ec980dee2fcc9f6d2682cb8e358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.png)
您最近一年使用:0次
解题方法
5 . 已知等比数列
的前n项和为
,若
,
,
成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1236a3f6ef119dd108f8697eb5783a54.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/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1236a3f6ef119dd108f8697eb5783a54.png)
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2023-12-23更新
|
616次组卷
|
4卷引用:江西省上饶市清源学校2024届高三上学期12月月考数学试题
江西省上饶市清源学校2024届高三上学期12月月考数学试题(已下线)考点7 等差、等比数列的联姻 2024届高考数学考点总动员江苏省南通市崇川区2022-2023学年高二上学期期末质量监测数学试题(已下线)期末精确押题之填空题(40题)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)
名校
解题方法
6 . 各项均为正数的等比数列
的前
项和为
,且
,
,
成等差数列,若
,则
_____ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfaca09f4558cc263c62abd9f461683d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049cbc3e23ca095e9a542a3401066673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
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2023-12-19更新
|
1242次组卷
|
5卷引用:重庆市渝北中学校2024届高三上学期12月月考数学试题
名校
解题方法
7 . 若
为等差数列,
是其前
项的和,且
,
为等比数列,
,则
的值为______ .
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6433023093d300356a60f3b4b9c74274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffde049c199cd8366123178181d1ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd3288b70e25d4c048df89ca2529f41.png)
您最近一年使用:0次
8 . 若正四面体
的棱长为3,平面ABC内有一动点P到平面
、平面
、平面
的距离依次成等差数列,则点P在面
内的轨迹的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334a5773c8d24f29ec3231075170e4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482465f00a75da723e425dbbef2f0bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
9 . 在数列
中,
,若
成等差数列,
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d64548546547314a555333fd07b1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d6535fc436a4b1245400dfce2f65f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331f2cd0242737307d6ee6c46009ece8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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2023-10-20更新
|
418次组卷
|
4卷引用:四川省部分名校2023-2024学年高三上学期10月联考理科数学试题
四川省部分名校2023-2024学年高三上学期10月联考理科数学试题湖南省名校2023-2024学年高三上学期阶段检测数学试题甘肃省白银市部分高中2024届高三上学期阶段检测数学试题(已下线)第05讲 4.3.2等比数列的前n项和公式(7类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)
名校
解题方法
10 . 已知等比数列
的前
项和为
.若
为
和
的等差中项,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3939cb6a7baabdf0060ea4533ae7d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
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2023-10-20更新
|
765次组卷
|
2卷引用:河南省平许济洛2023-2024学年高三上学期第一次质量检测数学试题