2024·全国·模拟预测
名校
解题方法
1 . 已知向量
,
,则“
”是“
与
共线”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98843017167a1ecd2e63128d558cdae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62eea480ff67ac6357e07fcb443e81f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6570cd7c2f81c9fcffd2c64664f1564.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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名校
解题方法
2 . 下列各式化简结果正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 如图所示,已知在
中,点
是以
为对称中心的点
的对称点,
,
和
交于点
,设
,
,
(1)用
和
表示向量
、
;
(2)若
,求实数
的值,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00423e12d670dc17e915ca6a82055c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420ad6159fc091d6a5ffddf0676d2662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c2e7e9fd8519fd1c293cc577408263.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/9/a5e026e3-3f1f-47d6-a70a-b333c174eaf1.png?resizew=151)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c085dbb9d78aef7d81c3f4d6855f067b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c70d3674afde7efd0bbafc68e50b828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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4 . 以下关于向量的说法错误的有( )
A.若![]() ![]() ![]() ![]() | B.![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() ![]() ![]() |
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名校
5 . 如图,B是线段AC的中点,若分别以图中各点为起点和终点,则最多可以写出______ 个共线非零向量.
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6 . 已知平面向量满足
,
,
,
,则
与
夹角的最小值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
7 . 已知
为
的重心,
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1074f7b429a2ff88e99b636c36755e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7a001d24e27dd892b4179b4bb80c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a2d34c662a9e56b85e69a61d99d5e8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-02更新
|
1025次组卷
|
8卷引用:江西省九江市浔阳区九江一中2023-2024学年高三上学期期中数学试题
江西省九江市浔阳区九江一中2023-2024学年高三上学期期中数学试题江西省九江市浔阳区九江一中2023-2024学年高三上学期期中数学试题湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高三上学期期中联考数学试题江苏省盐城市联盟校2024届高三上学期第二次联考数学试题江苏省镇江市扬中市第二高级中学2024届高三上学期期末模拟数学试题(一)(已下线)第六套 复盘提升卷(已下线)第六章 平面向量及其应用 单元复习提升(2)-单元速记·巧练(人教A版2019必修第二册)(已下线)专题02 高一下期末真题精选(1)-期末考点大串讲(人教A版2019必修第二册)
名校
解题方法
8 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1f236fa4281fd37e672b39866fa14a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7fabae5acfd5b1cb491a1386889d398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c203eb7a6dd9c0ba0a83025be33803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2023-09-28更新
|
667次组卷
|
2卷引用:江西省九江市2023届高三上学期第一次模拟数学(文)试题
9 . 已知
、
为单位向量,则向量
与
夹角的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e163480714acc9dae5005cac65d217d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37564ec4e9e92485f1769e8ffaac31d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cc0e6bf6dc8b2aceb04ab402689f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37564ec4e9e92485f1769e8ffaac31d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 如图,在
中,点
是
的中点,点
在边
上,且满足
,
交
于点
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7d3a0680780aaf4549c447fe8dfe9f.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
_________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e248681d395073c11f746d20039eb31.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d867eaf0c8bc2604f08e258bdbd6e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7d3a0680780aaf4549c447fe8dfe9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d22a15bc8a7997090c330df40f0ae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e248681d395073c11f746d20039eb31.png)
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