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 |
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2 . 等差数列
中,设前
项和为
,
,则
等于( )
![](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/5733e47b25c81541ddd18dc39c42904a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba48780e63a87aaf7f1d7fa29dd56b5c.png)
A.80 | B.85 | C.90 | D.95 |
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3卷引用:北京市铁路第二中学2023~2024学年高二下学期期中考试数学试卷
北京市铁路第二中学2023~2024学年高二下学期期中考试数学试卷北京市第六十六中学2023-2024学年高二下学期6月月考质量检测数学试题(已下线)高二下期末考前押题卷02--高二期末考点大串讲(人教B版2019选择性必修)
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3 . 若7个正数成等差数列,且这7个数的和为5,则此等差数列的公差
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 随机变量
的分布列如表格所示,若
构成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284341eb43bbc1609922796f7f570bc6.png)
![]() | ![]() | 0 | 1 |
![]() | ![]() | ![]() | ![]() |
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 将正方形
分割成
个全等的小正方形(图1、图2分别给出了
的情形),在每个正方形的顶点各放置一个数,使位于正方形
的四边及平行于某边的任一直线上的数都分别依次成等差数列.若顶点
处的四个数互不相同且和为1,记所有顶点上的数和为
,则有
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022205c82846dfa3420c67402a278fea.png)
______ ,…,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d64205bb7d470602fb525b02e72a81b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188ba12941ea122a7775a4999e129161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15d4afcc5736bb747eeffcffd3f4464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e345e86daf74312a6992e5d1c3f47f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf8c7f5f6a35f7ed88271a077619aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022205c82846dfa3420c67402a278fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d64205bb7d470602fb525b02e72a81b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/29/8a0dc8d3-051d-4666-9a45-8e1c699ed7bd.png?resizew=254)
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6 . 设
是等差数列
的前n项和,且
,则下列结论正确的是( )
![](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/2f0fb2f484d3d73b26acc02ffdc56a3d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知正项等比数列
中,
,
,
成等差数列,其前n项和为
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7755b0ec8df40da1e10c3567e441be7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980794e51cc6d0c36de4ce01135099dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 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 |
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2024-05-20更新
|
1294次组卷
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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
9 . 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)
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解题方法
10 . 方程
有三个互不相等的实根,这三个实根适当排列后可构成一个等比数列,也可构成一个等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ ,该方程的解集为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c8f4e44e0f69911361b52d467849a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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