名校
解题方法
1 . 已知数列
的每一项均不为0,其前
项和为
,且
.
①当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
____________ ;
②若对任意的
,
恒成立,则
的最大值为_____________ .
![](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/075bd5b0a8ef9de112ff558d33898df7.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
②若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe117de8aed8605d27303f81f06c8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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2022-07-08更新
|
702次组卷
|
4卷引用:北京市海淀区2021-2022学年高二下学期学业水平调研数学试题
北京市海淀区2021-2022学年高二下学期学业水平调研数学试题北京市顺义牛栏山第一中学2022-2023学年高二下学期期末数学复习试题(一)【北京专用】专题01数列(第一部分)-高二上学期名校期末好题汇编(已下线)专题02 等比数列4种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北京专用)
名校
2 . 已知公差不为0的等差数列
,前
项和为
,满足
,且
成等比数列,则
( )
![](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/3c15da41d398df3554181085e0caed1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcd9a1492c60152f2e32604cd519e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
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2020-01-21更新
|
1601次组卷
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9卷引用:北京市海淀区北京一零一中学2023届高三上学期统考(二)数学试题
北京市海淀区北京一零一中学2023届高三上学期统考(二)数学试题北京市丰台区2019-2020学年高三上学期期末数学试题2020届高三2月第01期(考点06)(理科)-《新题速递·数学》2020届北京市第八中学高三下学期自主测试(一)数学试题(已下线)专题08 等差数列-2020年高考数学母题题源解密(北京专版)(已下线)专题4.1 等差数列与等比数列-备战2021年高考数学精选考点专项突破题集(新高考地区)北京市第十五中学南口学校2022届高三10月月考数学试题河南省周口恒大中学2022-2023学年高二下学期2月月考数学试题北京市第三十五中学2024届高三上学期10月月考数学试题
名校
3 . 若P是
内部或边上的一个动点,且
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36965c4fa2678fe61578db7f38ac37c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
A.![]() | B.![]() | C.1 | D.2 |
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2022-11-04更新
|
738次组卷
|
3卷引用:北京市海淀区2023届高三上学期期中数学试题
名校
解题方法
4 . 对于无穷数列
,若对任意
,且
,存在
,使得
成立,则称
为“
数列”.
(1)若数列
的通项公式为
的通项公式为
,分别判断
是否为“
数列”,并说明理由;
(2)已知数列
为等差数列,
①若
是“
数列,
,且
,求
所有可能的取值;
②若对任意
,存在
,使得
成立,求证:数列
为“
数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b513ec2b07b56d03eae65c3680c26b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6bc55d5eb2c3d085b62ffcd8d138d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efed6061ac46ad56f61e596e88e8d869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86433d7ac6373f71563fe6f253bc6cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5754c6ce45757c909db734f52912da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80cac70a523e0f3a7429957cb69b50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f50efab51e1985b1f1298345cdef6bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
②若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5cf9c12181dd8683944b2b30bf8e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6bc55d5eb2c3d085b62ffcd8d138d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110311b55d3b8073e0da21096fa91f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
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2022-12-04更新
|
702次组卷
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5卷引用:北京市十一学校2023届高三上学期11月月考数学试题
北京市十一学校2023届高三上学期11月月考数学试题北京市十一学校2023届高三上学期12月月考数学试题(已下线)北京市西城区2022届高三二模数学试题变式题16-21北京市朝阳区第八十中学2022-2023学年高二下学期期中考试数学试题(已下线)2023年北京高考数学真题变式题16-21
名校
5 . 已知一元二次方程
有一正根和一负根,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0a19a69e260ee9cf039ec4f55c0dd6.png)
您最近一年使用:0次
6 . 在
中,角
,
,
所对的边分别为
,
,
,若
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbf6db9baa04be2a9b9037b4d0435ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-01-02更新
|
1243次组卷
|
4卷引用:北京市海淀区教师进修学校2021-2022学年高一6月份数学月考试题
北京市海淀区教师进修学校2021-2022学年高一6月份数学月考试题河南省南阳市2020-2021学年高二上学期期中数学(文)试题河南省南阳市2020-2021学年高二上学期期中数学(理)试题(已下线)专题9.3《解三角形》(A卷基础篇)-2020-2021学年高一数学必修第四册同步单元AB卷(新教材人教B版)
名校
解题方法
7 . 设函数
.
(1)若不等式
的解集
,求a,b的值;
(2)若
,
,
,求
的最小值,并指出取最小值时a,b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e24ce4ead2cfe357bb8f58462f27d9a.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0af419f4bc6f089e3304a477589d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7266b2ef457b8ddeee3fa2cc24022e.png)
您最近一年使用:0次
2022-07-06更新
|
661次组卷
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3卷引用:北京市海淀区北京医学院附属中学2022-2023学年高一上学期期中考试数学试题
北京市海淀区北京医学院附属中学2022-2023学年高一上学期期中考试数学试题河北省武强中学2021-2022学年高二下学期期末数学试题(已下线)专题02 等式与不等式(测)-2023年高考数学一轮复习讲练测(全国通用)
名校
8 . 如果实数
,
,
满足:
,则下列不等式一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-08-04更新
|
1521次组卷
|
14卷引用:北京市海淀区首都师范大学附属中学2022届高三下学期三模练习数学试题
北京市海淀区首都师范大学附属中学2022届高三下学期三模练习数学试题广西浦北中学2021-2022学年高二下学期期中考试数学(文)试题广西钦州市2019-2020学年高二下学期期末教学质量监测数学(文)试题江苏省连云港市赣榆智贤中学2020-2021学年高一上学期9月月考数学试题山西省山西大学附属中学2020-2021学年高一上学期10月模块诊断数学试题北京市朝阳区2020届高三年级下学期二模数学试题山西省太原市第五十三中学2020-2021学年高一上学期10月模块诊断数学试题广东省阳江市第一中学2020-2021学年高一上学期10月月考数学试题北京市第七中学2021届高三上学期期中考试数学试题重庆市朝阳中学2020-2021学年高一上学期期中数学试题江苏省南通市海门第一中学2020-2021学年高二上学期第一次质量调研数学试题广东省深圳市光明区高级中学2021-2022学年高一上学期10月月考数学试题河南省焦作市温县第一高级中学2021-2022学年高一上学期9月月考数学试题陕西省咸阳彩虹学校2020-2021学年高二上学期期中数学试题
名校
9 . 已知
的内角
的对边分别为
.若
的面积为
,则角
= ( )
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c4db8b2cf3b3e7bff906d390a809fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-03更新
|
651次组卷
|
4卷引用:北京市海淀区尚丽外国语学校2021-2022学年高一下学期期中考试数学试卷
10 . 已知
为正整数,数列
:
,记
.对于数列
,总有
,
,则称数列
为
项0-1数列.若数列A:
,
:
,均为
项0-1数列,定义数列
:
,其中
,
.
(1)已知数列A:1,0,1,
:0,1,1,直接写出
和
的值;
(2)若数列A,
均为
项0-1数列,证明:
;
(3)对于任意给定的正整数
,是否存在
项0-1数列A,
,
,使得
,并说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83590c4a7ea5636843dd4b60c67cb40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6eebdcb5458e76931806d7d001e7d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a492010ae000022884ff8648ab95215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c365eeee68c896623c8a9f4d1a4e0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2b043b989216035c6fd985f1dd6a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d64beb75ea4cfc016995a81de4160e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5231cb0bfedf2f963c1830adfd74aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a37472927e5adf5d10ea71516ffdcd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30a09719b90ab0a9344522451d754b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c365eeee68c896623c8a9f4d1a4e0f7.png)
(1)已知数列A:1,0,1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2952a31b68a2bb188ad215e109e7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc53bf6c5c8ac960186362af2158994f.png)
(2)若数列A,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6025c89963745b2f6bb2c45b4e03b225.png)
(3)对于任意给定的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d3076f01e163e656818cd4999f00ce.png)
您最近一年使用:0次
2022-07-08更新
|
616次组卷
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