2024高三·全国·专题练习
解题方法
1 . 如图,在
中,
直线
交
于点
.若
=![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe3e32bc8c9345daebd987f7320a340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a02253d0b2d6beb1781bca9f909033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75f49a216f4484ee6fa5ba876d56a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2 . 如图,已知点
是
的重心,过点
作直线分别与
,
两边交于
,
两点,设
,
,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/895dc3dc3a6606ff487a4c4863e18509.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9545f42dc3bb78dabdb73891f2e4a69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301af152850e2c795bd385d0d10836f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407e4330cfdd5cd0bcfd4f3bd1a898e6.png)
A.9 | B.4 | C.3 | D.![]() |
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2024-04-26更新
|
1072次组卷
|
7卷引用:安徽省芜湖市安徽师范大学附属中学2023-2024学年高一下学期4月期中考试数学试题
安徽省芜湖市安徽师范大学附属中学2023-2024学年高一下学期4月期中考试数学试题(已下线)模块五 专题3 全真能力测试1(苏教版期中研习高一)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)核心考点1 平面向量的运算 B提升卷 (高一期末考试必考的10大核心考点 )(已下线)必考考点1 平面向量的运算 专题讲解(高一期末考试必考的10大核心考点 )河南省安阳市第一中学2023-2024学年高一下学期第二次阶段考试数学试题(已下线)专题3 以平面几何图形为背景的向量综合问题【练】(高一期末压轴专项)
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解题方法
3 . 设A,B是
:
上两个动点,且
,若在直线
上存在点M,使得
(O为坐标原点),则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caac2a823ad4c04de8337eae11812da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9de37e731bf530cb5f40cb4821aea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eff4b39c99b15173fd1740e018eb594.png)
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解题方法
4 . 如图,在
中,
,
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9769839f35c2b7002b9f5e62f40b34de.png)
______ .(用
,
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ab4e2ff4836c461ba556721b6f9926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0074d86412bebc35fbe675fc867ce0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f386f5b56b07b96f2600da1be15414a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9769839f35c2b7002b9f5e62f40b34de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
5 . 已知非零向量
不共线.
(1)如果
,求证:A,B,D三点共线;
(2)若
和
是方向相反的两个向量,试确定实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57171576d823479d2ac6e647077d1ced.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75d6886724cfe164028aa4d151aa98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51dbf7fb9e71618bf5031f91c8d86b23.png)
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6 . 下列命题正确的是( )
A.若向量![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() |
C.模等于1个单位长度的向量是单位向量,所有单位向量均相等 |
D.已知平面内的一组基底![]() ![]() ![]() ![]() |
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7 . 已知六边形ABCDEF为正六边形,且
,
,以下不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87919b376c1de16dc744b04d72877183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8682ba80b5d1e124e98c8661c753a19.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-16更新
|
776次组卷
|
2卷引用:浙江省2023-2024学年高一下学期3月四校联考数学试题
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8 . 如图,在
中,点
满足
,
是线段
的中点,过点
的直线与边
,
分别交于点
,
.
,求
的值;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4090e869a70edb8917446ff0cdaff71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8954ac84d5a64358d2876a62f2a439b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296f25357d5576fb3ccaff55c091c95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6af274b91dde856191e4cba8d30852.png)
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解题方法
9 . 在平行四边形
中,已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79b194152945f719c21bbe5d525338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1edf07a2e8006fc9446a1bac93f3324c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6eab0544c9fad5acde25bec349fb02.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 在平行四边形
中,
,
与
交于点O,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436bb2bff2f65d7b1dcd3ccf6ecde1be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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