名校
1 . 设
,对满足条件
的点
的值与
无关,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2b26d59104ec45664b65c72a0693f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d18d0c79d38704ba537554a38828f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3da6c05e73ec26d167c22d2695c804d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
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
|
178次组卷
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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)
3 . 质点
和
在以坐标原点
为圆心,半径为1的圆上逆时针作匀速圆周运动,当
和
从圆
与
轴正半轴的交点
同时出发,且
点的角速度是点
的角速度大小的2倍.当点
第一次运动到射线
与圆
的交点
时,点
运动到点
处,此时
等于( )
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6e5eaddb2691bacb98f632aa0e72c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bb1c809984916c136659cf0dd2942c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-19更新
|
265次组卷
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2卷引用:四川省雅安市2024届高三零诊考试数学(理)试题
名校
解题方法
4 . 古希腊数学家特埃特图斯(Theaetetus)利用如图所示的直角三角形来构造无理数. 已知
与
交于点
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194ff7014ac137d916bb11e430c837c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a1c30dd9f8080504a727abfb7fc567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-08-30更新
|
1833次组卷
|
7卷引用:安徽省A10联盟2024届高三上学期8月开学摸底考试数学试题
安徽省A10联盟2024届高三上学期8月开学摸底考试数学试题(已下线)第6章 平面向量初步-【优化数学】单元测试能力卷(人教B版2019)(已下线)专题11 平面向量小题全归类(练习)(已下线)专题01 平面向量压轴题(1)-【常考压轴题】重庆市涪陵第五中学校2023-2024学年高一下学期第一次月考数学试题河南省信阳市新县高级中学2024届高三考前第一次适应性考试数学试题重庆市部分学校2023-2024学年高一下学期5月月考数学试题
名校
5 . 已知P,Q分别为
的边
,
的中点,若
,
,则点C的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e6b27777af1418e8c81b2d6429b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db929f14e1fe2c41740a1f2552894d5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-27更新
|
633次组卷
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6卷引用:山西省临汾市2023-2024学年高三上学期11月期中数学试题
山西省临汾市2023-2024学年高三上学期11月期中数学试题湖南省岳阳市湘阴县知源高级中学等多校2024届高三上学期11月月考数学试题(已下线)热点4-1 平面向量的概念、线性运算与基本定理(6题型+满分技巧+限时检测)(已下线)6.3.3 平面向量加、减运算的坐标表示-高频考点通关与解题策略(人教A版2019必修第二册)广东省东莞市众美中学2023-2024学年高一下学期3月月考数学试题(已下线)6.3.3 平面向量加、减运算的坐标表示——课后作业(巩固版)
6 . 点P在单位圆⊙O上(O为坐标原点),点
,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8982b6625c2ae27834289eeb43ad78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83432ebec1ec47d7b3b42bbb8587be7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19bc9c7083b1e9538337a3038712896.png)
A.![]() | B.![]() | C.2 | D.3 |
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解题方法
7 . 已知
且
,
,选项中的命题都正确的是( ).
(1)不等式
恒成立;
(2)设
,
,
,
,
,如果四边形
的面积为s,那么存在
使
成立;
(3)对任意
时,不等式
恒成立;
(4)对任意
时,不等式
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1184f3f4147174e6b465db671b3e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c98c0ec4c99989333faa478a946985.png)
(1)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e45e8aa45aeebc0d08464a136347e60.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1784ef4e8a2b1b49256b61f2b306b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16c61b3d678794a5873964635724da1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6b09f39af8d61f60a430cbcadc6027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38463103bd5a2c973103f1d2b186b668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b7b7793d29d66dfdd89e7a6564a35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54ed8c334b341c9f5016272d7774145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b952a0885768207cc0f026a843ff3008.png)
(3)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6096acdd2d0ce16e1e45397ec5e365d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21956468c14cd2b8142d63d8ce3a7a8.png)
(4)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6096acdd2d0ce16e1e45397ec5e365d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d5fd775c4fbb429f3dc736cdf3eeec.png)
A.(1)(2)(3) | B.(1)(2)(4) | C.(1)(3)(4) | D.(2)(3)(4) |
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解题方法
8 . 在三角形
中,若D,E分别为边
,
上的点,且
,
,
与
交于点O,则以下结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519675945ca0d950982c390b36d7a3e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23765c24685e870327175b1cdbceb0ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 直线
经过两个定点
(其中
),则直线
的参数方程为
(
为参数,
).其中点
为直线
上任意一点,下列说法中不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1325c6fe42a9e5c04520d8a9bb6821b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21419caf547a208d582d906875a4167d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c87f4c40e50504adaface510404dbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.参数![]() ![]() ![]() ![]() |
B.可以用![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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解题方法
10 . 已知,
,且
,令
,则
( )
A.![]() | B.![]() | C.![]() | D.![]() |
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