名校
1 . 数列
的通项公式为
,则使得“数列
是单调递增数列”成立的充分不必要条件可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea35df1c12fbeea6e4355f36ca62b323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 设
为无穷等比数列
的前n项和,则“
有最大值”是“
有最大值”的( )
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
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2024高三下·北京·专题练习
3 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c60ee1eb10343e26071284415000f13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88592a427b6845d3d4c821218b3e2171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 对于任意实数
,引入记号
表示算式
,即
,称记号
为二阶行列式.
是上述行列式的展开式,其计算的结果叫做行列式的值.
(1)求下列行列式的值:
①
;②
;
(2)求证:向量
与向量
共线的充要条件是
;
(3)讨论关于
的二元一次方程组
有唯一解的条件,并求出解.(结果用二阶行列式的记号表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5440a1b5d9338efd6976a56432e100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f9683760df4268272525c8082c7ee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c8894e0b37af5da23a1c1bffb32017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5440a1b5d9338efd6976a56432e100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f9683760df4268272525c8082c7ee5.png)
(1)求下列行列式的值:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c601a13b26ec4fe000e79cf189d9bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c5a0d1545e308e320a49e1c305ea90.png)
(2)求证:向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ef9b43b03c19f5616e31888f053915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2502935b71dab102edbe6f162046943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9069422cc832b478cd86186e5f22897.png)
(3)讨论关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f334249bbad594a5db5137164b79f1d.png)
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名校
5 . 已知函数
,则“
”是“
为偶函数”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84160bb2092f7cb8f31564343e02b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa965b7e4afb8207a95ffd928274697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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 |
您最近一年使用:0次
名校
6 . 已知等差数列
的公差为
,首项
,那么“
”是“集合
恰有两个元素”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662fbf0ed9df0da17995bb9055ae9eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6b50f94f2723bf847e1a6b432d12f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c1517a5d3769dfa9ce423766e3e571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdf8db3ae800979b5389c0a95a0574f.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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2024-04-24更新
|
770次组卷
|
2卷引用:北京市丰台区2023-2024学年高三下学期综合练习(二)数学试题
7 . 已知全集
,集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775c98c056ff0610f4f9cdf2009908b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9a1e9dd14cbd2271ba2f472664ad57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715476727accc3c6b3c71f2f25c3aaad.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 设A,B为两个非空有限集合,定义
其中
表示集合S的元素个数.某学校甲、乙、丙、丁四名同学从思想政治、历史、地理、物理、化学、生物这6门高中学业水平等级性考试科目中自主选择3门参加考试,设这四名同学的选考科目组成的集合分别为
,
,
,
.已知
{物理,化学,生物},
{地理,物理,化学},
{思想政治,历史,地理},给出下列四个结论:
①若
,则
{思想政治,历史,生物};
②若
,则
{地理,物理,化学};
③若
{思想政治,物理,生物},则
;
④若
,则
{思想政治,地理,化学}.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069ec439d599e7989e74f4c4ac91d65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911cdb689ca80557ce076cb49b3ee498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.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/b3dabace330ccdd9755fbcf32d5d6343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b625192d7398634a02ea24fa78ed87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10b9f228c9a255aca3ace899db760d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b4f81050636eac5b4f064fa0f06313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41bbaf9ee8f16ee2ab343dc164a8e48.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231bca548a6ffe3013474743e1b5d039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
其中所有正确结论的序号是
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9 . 已知全集
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cea90e212e75cde4ac6baf48eac94ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a441b741f92bbcb6e9adb852ca41737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715476727accc3c6b3c71f2f25c3aaad.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 在等比数列
中,
.则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebed173005620c024fae23faf3a7ff2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5679b44591309af638eb8d9ba442f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/659756da224b7580fe2585c92b450b4b.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 |
您最近一年使用:0次