1 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26f813ab4df719c86ecb2d1b5895fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2021-10-12更新
|
169次组卷
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3卷引用:上海市2022届高三上学期一模暨春考模拟卷(一)数学试题
上海市2022届高三上学期一模暨春考模拟卷(一)数学试题(已下线)课时29 二、三阶行列式-2022年高考数学一轮复习小题多维练(上海专用)上海市华东师范大学附属东昌中学2022届高三下学期阶段检测数学试题
名校
2 . 已知行列式
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730ee155423b176112780cb705a0df51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e0cb2c8dff267a0ca001787ce0fae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bc3fb6a6d660c31012897317d72166.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分也非必要条件 |
您最近一年使用:0次
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解题方法
3 . 已知方程
的一个根是
(其中
,
是虚数单位),则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6deb26326bb7866eaa4e93def10866f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3f67d6c3110f805d2fbf9c7b71cab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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4 . 在
中,角A、B、C的对边分别为a、b、c,若
,则角C的大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f6a046de70bd429ad0e45299e18ef3.png)
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5 . 已知矩阵
,若矩阵A属于特征值6的一个特征向量为
,属于特征值1的一个特征向量为
,求矩阵A.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f02ff81e67540f3786ef925627c27b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb23c742330eafe764ad8c2672c810f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d3e3213a4d5d987629b7d04d85408e.png)
您最近一年使用:0次
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6 . 定义行列式的运算如下:
,已函数
以下命题正确的是( )
①对
,都有
;②若
,对
,总存在非零常数了,使得
;③若存在直线
与
的图象无公共点,且使
的图案位于直线两侧,此直线即称为函数
的分界线.则
的分界线的斜率的取值范围是
;④函数
的零点有无数个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0fa640e2acf1eb17ca755f381eab53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149a1ddb37d62d7749ac6a21fa11aa60.png)
①对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce46b097d99475a00d3a2c81a3781647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb558e17c9818610772917878d82d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d41c39273980b455011cf37bbc13e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575b44db949f6682e6472586b197ce28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3d396d15b5f77db6904d1b52479438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8d21231622781fdb4ad1fe5a32b37d.png)
A.①③④ | B.①②④ |
C.②③ | D.①④ |
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2020-05-23更新
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444次组卷
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2卷引用:2020届四省名校高三第三次大联考数学(理科)试题
名校
7 . 设复数
(i为虚数单位),若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa3d3ca8ae9c034b384ba8267808553.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b3be88ab39955ac027625dd95fc447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f32c241a1b97713333e7e8f0962503f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa3d3ca8ae9c034b384ba8267808553.png)
您最近一年使用:0次
2020-05-21更新
|
358次组卷
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5卷引用:2020届上海市虹口区高三下学期二模数学试题
2020届上海市虹口区高三下学期二模数学试题上海市黄浦区2021届高三三模数学试题(已下线)模块05 三角比-2022年高考数学一轮复习小题多维练(上海专用)上海市七宝中学2022届高三上学期十月月考数学试题(已下线)课时29 二、三阶行列式-2022年高考数学一轮复习小题多维练(上海专用)
8 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0597b4d82bf0354fc81aa764abb0ae.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfb746fbcd7b36abc7ae4ae78ca0c69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0597b4d82bf0354fc81aa764abb0ae.png)
您最近一年使用:0次
9 . 已知实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e7581a9b1bdf7e15be780aaaecc4a4.png)
,且
,则行列式
的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e7581a9b1bdf7e15be780aaaecc4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b0ba5c937b27a27b5ef5ab9e51a935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c151ea5fe41ddf7edbbba975745808d.png)
A.最小值是2 | B.最小值是![]() | C.最大值是2 | D.最大值是![]() |
您最近一年使用:0次
2020-05-08更新
|
149次组卷
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3卷引用:2020届上海市松江区高三在线质量评估(4月)数学试题
10 . (1)直线
在矩阵
所对应的变换
下得到直线
,求
的方程.
(2)已知点
是曲线
(
为参数,
)上一点,
为坐标原点直线
的倾斜角为
,求点
的坐标.
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e894db81047f81df006964a290c039cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509f9c258e7d14c843bcf7efba552e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d6bf3a9c48c3d16d78fa1062f08257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f31a8d000d17c4b045b8646adfbcf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278c6f21492d19ebee1a938560b91511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95ead71eaf9bd178d0a53d993546c0a.png)
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