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1 . 判断下列各命题的真假:①向量
与
平行,则
与
的方向相同或相反;②两个有共同起点而且相等的向量,其终点必相同;③零向量是没有方向的;④向量就是有向线段.其中假命题的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.2 | B.3 | C.4 | D.1 |
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2 . 已知向量
,
,若向量
,
共线且
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0951b84d775b5defa7ce58b620000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e146150a40e3980a74f045ab2a77b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.6 | B.4 | C.8 | D.3 |
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3 . 计算下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd39bf6ef245682c9a60042294d5721.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c4ccd346562138dc660d807276b87e.png)
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4 . 已知幂函数
是偶函数,且
在
上是减函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb76ad308e9ee5226bfc61ab05a4c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.0 | D.3 |
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5 . 已知向量
,
且
,则正数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116a8dca8b9340fb074cdd895bb7079d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c37cb8d9ae4ea8cd6ef559cc82e8b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.2 | C.1 | D.![]() |
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6 .
的展开式中
的系数为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3766b46602f001a9c765cab48b6fc868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62038b311a7b0275a52d1679e53dd0f.png)
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23-24高一下·湖南衡阳·阶段练习
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7 . 将向量
绕坐标原点
逆时针旋转
得到
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724bb9f081d011c99d368afa8ef32008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425c40b0c3b5c3365a98dbc348b291e.png)
A.8 | B.![]() | C.![]() | D.-4 |
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8 . i表示虚数单位,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482976a0e85c2f6f53d5e7d641cfd2a8.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482976a0e85c2f6f53d5e7d641cfd2a8.png)
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2024-04-22更新
|
402次组卷
|
3卷引用:湖南省常德市第一中学2023-2024学年高一下学期第一次月考数学试题
湖南省常德市第一中学2023-2024学年高一下学期第一次月考数学试题(已下线)10.2 复数的运算-【帮课堂】(人教B版2019必修第四册)甘肃省武威第十八中学2023-2024学年高一下学期期中考试数学试卷
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9 . 已知
,且
为第三象限角.复数
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cb5395d661abd30979bc8a57c0b2bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905b98d7dc2e49c3fa76d21755283236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d08b961731b6bf53c7b99769650f6f95.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 定义
.若向量
,向量
为单位向量,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf9fc45e6dc0579eda8f3f0d63a09c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ee8d9ea0d7915deb74b2cf16d9be6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db35dbee504e3e66bfd03c24e4b7322.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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