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1 . 下列说法正确的是( )
A.设![]() ![]() ![]() ![]() |
B.设![]() ![]() ![]() ![]() ![]() |
C.设![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2024-04-02更新
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603次组卷
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5卷引用:河南省新乡市封丘县第一中学2023-2024学年高一下学期期中数学试题
河南省新乡市封丘县第一中学2023-2024学年高一下学期期中数学试题陕西省西安国际港务区铁一中陆港高级中学2023-2024学年高一下学期第一次月考数学试卷(已下线)高一下学期期中考试--重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)江西省宜春市上高中学2023-2024学年高一下学期第二次月考数学试卷
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解题方法
2 . 设向量
,
,当
,且
时,则记作
;当
,且
时,则记作
,有下面四个结论:
①若
,
,则
;
②若
且
,则
;
③若
,则对于任意向量
,都有
;
④若
,则对于任意向量
,都有
;
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec6dba44a83ae69146c26a2eec325c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66717aa3e7a771427c1d4433c77a5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7104776ff89344dbad71ae372b2c6a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a7d6f54bf58a7a4f4ce61e06aefa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd070c2627a2520b0d9047a9835efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520a520903a0179b3b7ca22c8c08d934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada29fde8bcb4d04ddc6f1d9108cd5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004c7cf818feb967b88abca38cf27e9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a55755bb17062042b33d96016491ff.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dfbdbb27c06740921709722585131fe.png)
其中所有正确结论的序号为( )
A.①②③ | B.②③④ | C.①③ | D.①④ |
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2024-03-27更新
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4卷引用:河南省商丘市青桐鸣2023-2024学年高一下学期3月月考数学试题
河南省商丘市青桐鸣2023-2024学年高一下学期3月月考数学试题吉林省白山市抚松县第一中学2023-2024学年高一下学期5月期中考试数学试题(已下线)专题03 向量的数量积-期末考点大串讲(人教B版2019必修第三册)(已下线)【讲】 专题四 与平面向量有关的新定义问题(压轴大全)
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3 . 如图,在Rt△AOC中,
,圆O为单位圆.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/7/6dd6e01a-0e0b-4eea-8faf-fb8db76724b7.png?resizew=152)
(1)若点P在圆O上,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524f25e1eedbfe399f7f42db890ab89a.png)
______________
(2)若点P在△AOC与圆O的公共部分的
圆弧上运动,则
的取值范围为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600e2ef6a554bbdd6812870bc02a20a2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/7/6dd6e01a-0e0b-4eea-8faf-fb8db76724b7.png?resizew=152)
(1)若点P在圆O上,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a49c8aacea2efa4323c36b68241cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524f25e1eedbfe399f7f42db890ab89a.png)
(2)若点P在△AOC与圆O的公共部分的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7aaa871ceb78e5b80b531a7cf4f1c9.png)
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2023-05-03更新
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476次组卷
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6卷引用:河南省开封市五校2022-2023学年高一下学期期末联考数学试题
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4 . 在正方形ABCD中,点E在线段BC上并且
,点F在线段CD上并且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/4/ed5e938d-8653-426b-8dbe-89eb9cc780f1.png?resizew=128)
(1)证明:AE⊥BF
(2)若AE与BF相交于点G,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa12e62b31e4d483e097598aef8bafe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591a043cc7a73387f15743c8cb04824c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/4/ed5e938d-8653-426b-8dbe-89eb9cc780f1.png?resizew=128)
(1)证明:AE⊥BF
(2)若AE与BF相交于点G,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f20b700557745476e7b737a2bf3cbcb.png)
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5 . 已知函数
的图象经过点
,且一个最高点的坐标为
.
(1)求函数
的解析式:
(2)设
,
分别为函数
的图象在
轴右侧且距
轴最近的最高点和最低点,
为坐标原点,实数
,若函数
在
上的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0c6e62e0bb295e11599f7ede8e44ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191460b7de84d14271253cc51bbe0b39.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a4d1d5e8c869611368e5e357225154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1b09370a4e68c722a302b3b056645e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d73a65f38cfbd3c1a7797365eb2874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf3d3564c61e5e9c39a9e2cf2de048b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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