1 . 设数阵
,其中
.设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac98f22d559df85afd6cde2122982c1b.png)
,其中
,
且
.定义变换
为“对于数阵的每一列,若其中有t或
,则将这一列中所有数均保持不变;若其中没有t且没有
,则这一列中每个数都乘以
”(
),
表示“将
经过
变换得到
,再将
经过
变换得到
,…,以此类推,最后将
经过
变换得到
.记数阵
中四个数的和为
.
(1)若
,
,写出
经过
变换后得到的数阵
,并求
的值;
(2)若
,
,求
的所有可能取值的和;
(3)对任意确定的一个数阵
,证明:
的所有可能取值的和不大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0a32496c35c7a9ec330bdd02808829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d989c2c5a405c4d9a20e470f5bd96ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac98f22d559df85afd6cde2122982c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f8daacbdbb8b2ff092d4c56057c729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96b51fbf91d105af6afbd5b2966185a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b08c58baacec3cd0c0a06e267fa9ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c88248a34d270530f9d01570a911878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e93d044f7bde4330e206b4edd2bd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97add95cc99b7846691dbdd91ef0f3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97add95cc99b7846691dbdd91ef0f3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b2c2aa49dc4520fcc7fe01f1776301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad42dbc5fa989573d079ff58c9bd837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd680d9d3352bfe69d373054ab106a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9e38f3101bb9a37b307ce245c57b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096b1ece1dcd29c59a46a4b3e02cb548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096b1ece1dcd29c59a46a4b3e02cb548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841f2788fc89aafb399653dcf5c373c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5031a3a951c4a1d1c5e9f80a5e26513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3233aed5e30e9988e1676b4392dd4dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a6254dbc0b14828d000e1901ae21eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cce113f874ea096ee027d0c7d2ad27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cce113f874ea096ee027d0c7d2ad27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca99f73e0e80bfa74b06d4d28ed09c4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f1d68a3e838d14d000d02301ce78c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39979f11a0fd0a8d9d726a1b48260f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd680d9d3352bfe69d373054ab106a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096b1ece1dcd29c59a46a4b3e02cb548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca99f73e0e80bfa74b06d4d28ed09c4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f1d68a3e838d14d000d02301ce78c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07225d468ccf6abe4f258d74cd8ba08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca99f73e0e80bfa74b06d4d28ed09c4.png)
(3)对任意确定的一个数阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd680d9d3352bfe69d373054ab106a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca99f73e0e80bfa74b06d4d28ed09c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b9a5f1362c12e1ea8f6fc0d9d787ac.png)
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2 . 已知数列
是等差数列,且
,
,
分别是公比为2的等比数列
中的第3,4,6项.
(1)求数列
和
的通项公式;
(2)若数列
通项公式为
,求
的前100项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7eed64ac7823ef2dba2ab623d27a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc47e888b98c32dda07009b8c4b49bf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb518e31b9a4adf52552bb73f2a4a8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923d96adb0a69066fa21701408d7627a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c9965a04c2a6de04e949a15762f372.png)
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3 . 已知
中,
的对边长度分别为
,已知点
为该三角形的外接圆圆心,点
分别为边
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0824c48f45e569e11019fac9bc6a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee14312eec42c729aab9880e09d3726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0824c48f45e569e11019fac9bc6a62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-06-05更新
|
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|
3卷引用:辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(文)试题
名校
解题方法
4 . 已知实数
满足
,则
的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f4f3d8ac7da6c1c186949ffc9c39a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2017-06-05更新
|
5487次组卷
|
9卷引用:辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(文)试题
辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(文)试题辽宁省实验中学2017届高三下学期第六次模拟考试数学(文)试题辽宁省实验中学2020届高三下学期学期第下学期五次模拟考试数学文科试卷辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(文)试题(已下线)专题3.2基本不等式及其应用(B卷提升篇)-2020-2021学年高二数学必修五同步单元AB卷(人教A版,浙江专用)(已下线)2.2基本不等式-2020-2021学年高一数学同步课堂帮帮帮(人教A版2019必修第一册)(已下线)专题11应用基本不等式求最值的求解策略解题模板(已下线)2.2+基本不等式-2020-2021高中数学新教材配套提升训练(人教A版必修第一册)人教A版(2019) 必修第一册(上) 重难点知识清单 第二章 一元二次函数方程和不等式 2.2 基本不等式
名校
5 . 设命题
实数
满足
,命题
实数
满足
,则命题
是命题
的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6600526bb6ece5a4f2fc30da382121aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d803358740269c5e931ef642de0e3481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要条件 | B.必要不充分条件 | C.充分必要条件 | D.既不充分也不必要条件 |
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6 . 在
中,若
,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e396233681354261f34b785ac87660b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2592bee3a6fa219b6329b3ad3a3405.png)
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2017-05-26更新
|
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