名校
1 . 已知复数z满足
(其中i为虚数单位),则复数z的共轭复数为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493ebeaca367a13cda23f0139cf67a59.png)
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2023-05-05更新
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839次组卷
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2卷引用:新疆喀什地区英吉沙县2022-2023学年高一下学期素养大赛数学试题
名校
解题方法
2 . 已知平面内两向量
,
,若
,则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c5293dfdbd72411423003ec100c910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8404b5c0251c95bf62f52bb6793bba3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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2023-04-10更新
|
513次组卷
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2卷引用:新疆喀什地区英吉沙县2022-2023学年高一下学期素养大赛数学试题
3 . 已知向量
、
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b517d5fda1c7254dfb75e4ee033d1d9.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/ed96d43c2d5d1f649b424f7fcfb9793a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b517d5fda1c7254dfb75e4ee033d1d9.png)
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2023-03-27更新
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4卷引用:新疆喀什地区英吉沙县2022-2023学年高一下学期素养大赛数学试题
2022高一·全国·专题练习
4 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6094eafbf9bc0f7b76ef2c4bbd099c.png)
_________ .(用代数形式表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6094eafbf9bc0f7b76ef2c4bbd099c.png)
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2022-05-17更新
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213次组卷
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6卷引用:新疆喀什地区英吉沙县2022-2023学年高一下学期素养大赛数学试题
新疆喀什地区英吉沙县2022-2023学年高一下学期素养大赛数学试题(已下线)7.3复数的三角表示(练案)-2021-2022学年高一数学同步备课 (人教A版2019 必修第二册)(已下线)7.3 复数的三角形式2-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)7.3.1复数的三角表示式(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)(已下线)12.4 复数的三角形式-【帮课堂】(苏教版2019必修第二册)(已下线)7.3 复数的三角表示-同步题型分类归纳讲与练(人教A版2019必修第二册)
5 . 在
中,
的对边分别为
若
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23beb7fa35ed321584f95c7507b8b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf1e7afe47ce8dc14f7d71be34257be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1ba07e7a73d022b99743224c61a745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
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6 . 若函数
是周期为
的奇函数,当
时,
,则
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c930dcbd1af033762395b6bd11111efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02969a952d520f0e006e74347b9f3850.png)
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7 . 已知
,且
.则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ee20ce5ab05be1c3eabb179e60c892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2436951e9a6f5ca0fc0ae65b9d787119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a53de1037faaf314a9ade274bbce845.png)
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8 . 设集合
.若
的两个非空真子集
满足
,则称
为
的一个划分.若对集合
的任一划分
,均有
中或
中存在两个数使得其和为平方数,则n至少为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8702b2c31d64f7127a5eb600dd06b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e192370105f8ec5468c77c22a187fbc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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9 . 设直角三角形的三边依次为
(c为斜边),周长为
.则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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10 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4822228f8dcc415f3b00584b0f151dbc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4822228f8dcc415f3b00584b0f151dbc.png)
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