名校
1 . 已知数列
是等差数列,
是等比数列,且
,
,
成等差数列,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/dc0c18a634fd064d42ff25ff5120d70f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4872123a03862e9dee3110a8a9f28f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15101c1be29825b3ebb9295c096e8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063c860542a2e782dec27de76df545d4.png)
A.![]() | B.![]() | C.2 | D.4 |
您最近一年使用:0次
名校
解题方法
2 . 为了迎接新高考,某校举行物理和化学等选科考试,其中,400名学生物理成绩的频率分布直方图如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/dc664849-3e1f-463d-88cb-37de5c5ad937.png?resizew=208)
其中成绩分组区间是:
,
,
,
,
,已知成绩在
,
,
之间的人数依次构成等差数列.
(1)求图中
,
的值;
(2)根据频率分布直方图,估计这400名学生物理成绩的中位数(结果保留整数);
(3)若这400名学生物理成绩各分数段的人数(
)与化学成绩相应分数段的人数(
)之间的关系如下表所示,求化学成绩低于50分的人数.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/dc664849-3e1f-463d-88cb-37de5c5ad937.png?resizew=208)
其中成绩分组区间是:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627a86a6ccc6968f95c9e26db5c4b80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8826cd3a88388c3896b1e429fabd437f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58d9a123e465dace224231f54ee94e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a40cf767fd2a684f2f1ed9216836792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a0dc3b0349c53d7bf36dfe97958cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8826cd3a88388c3896b1e429fabd437f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58d9a123e465dace224231f54ee94e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a40cf767fd2a684f2f1ed9216836792.png)
(1)求图中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)根据频率分布直方图,估计这400名学生物理成绩的中位数(结果保留整数);
(3)若这400名学生物理成绩各分数段的人数(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de122ae929b1acaff321dec137622ed.png)
分数段 | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
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3 . 已知等腰
的内角A,B,C所对的边分别为a,b,c,且
,
,
成等差数列,点D为
外接圆劣弧
上一点(不含端点),若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6ddb3766b5215c115a0abf597598aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcf32b7491edcd57476ab3080b2529b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127a98e64fd2933904f691755f927524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05660a9fcd5699de7129a6312661c4d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
您最近一年使用:0次
4 . 设
是等比数列
的前n项和,公比
,且
,
是
与
的等差中项.
(1)求
;
(2)是否存在常数
,使得数列
为等比数列?若存在,求
的值;若不存在,请说明理由.
![](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/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0a7119b83fe8f9d19944fc481b562c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0de2e009f8ab1ba18b9f87ac1085ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)是否存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa1b1359f7e8f138242f9116148f9e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-04-02更新
|
832次组卷
|
3卷引用:云南省昆明市第一中学2023届高三第八次考前适应性训练数学试题
解题方法
5 . 设
是首项为
的等比数列,且
,
,
成等差数列.
(1)求
的通项公式;
(2)若数列
满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e77f2efac5eb1255ebf3cdb1e4afa18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911278aa8595846abac1972e1de59995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83de9a45d9b680da8835bac1fee9c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048330fd1a1552a201add9fc8551c5b0.png)
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6 . 在①
,②
,③
这三个条件中任选一个,补充在下面横线处,并加以解答.
已知
的内角
所对的边分别是
,若 ,且
成等差数列,判断
的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e0d4945f6b06a3f0791ab7ee3d276d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4542e5dfa3702fb2824682f0731a1c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f1d5b50db0b87df7a8907a4e0699b6.png)
已知
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7 . 设
为数列
的前
项和,
,对任意的自然数
,恒有
.
(1)求数列
的通项公式;
(2)若集合
,
,
,
,将集合
中的所有元素按从小到大的顺序排列构成数列
,计数列
的前
项和为
.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f21c9c920ec8bc13650e9b2f455290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189f79c3ac334905aed6f30cdb7cc4a5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508c388d94fedc031fc0cdfb65c3c257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeed01128afa5f0bd007ca754dad92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572660ba18ec5e5ec25d312bd9585b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeed01128afa5f0bd007ca754dad92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69c41b2368b2d878256d6aab735e886.png)
您最近一年使用:0次
2023-03-26更新
|
1210次组卷
|
2卷引用:江苏省南京中华中学、南京师范大学附属中学江宁分校两校2022-2023学年高三下学期3月联考数学试题
8 . 已知等比数列
满足
,且
,
为数列
的前
项和.
(1)求
的通项公式;
(2)
(
)能否构成等差数列,若能,则求
的值;若不能,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9954d6701d2b7d8302684bb896a1afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4787b11b456ed3075d53fd6c05099c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c2ea72de471c76180aeb6dddc6ab8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cd89a09ed5e6e2950ed665a2965186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1620d091f50ea9ad7666e1c3cfaaa4f.png)
您最近一年使用:0次
名校
9 . 非零实数
满足
成等差数列,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3764eec0b5e3e1415bb225c12d2663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcba524ea58286f8bbea28ae85c66c5.png)
A.![]() | B.![]() | C.3 | D.![]() |
您最近一年使用:0次
2023-03-16更新
|
720次组卷
|
2卷引用:浙江省宁波市十校2023届高三下学期3月联考数学试题
名校
10 . 已知
,
,若
,
,
成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7958a6bddd1d578bbd6fbcb92e3f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0212ab68627919b1d22ac348a3e849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87879773a7ebf675a232100dceaf9a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6fce004c47849c29ebd8d5d7c16e98.png)
A.0或1 | B.1或![]() | C.1或![]() | D.0或![]() |
您最近一年使用:0次