名校
解题方法
1 . 在边长为4的等边
中,
,D为边AC的中点,BD与AM交于点N.
(1)求证:
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1410e06dca2ccd5a534fc3516aa80f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ca397fa0f49bcaf40aec8a722a1524.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/653cdfbe424eadcebc0fd4acee8b8012.png)
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名校
2 . 在
中,
,
.
为
所在平面内的动点,且
,若
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4123dd2be67e7febc50d83eee589e657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2899e607479d8d1c47d954ae9ebb7144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd4cdb5035ce43bfebeeeb9457f411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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解题方法
3 . 请写出与向量
反向的单位向量:_______________ .(用坐标表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d907523e755046bfef06447eb0a788f.png)
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名校
解题方法
4 . 如图,在
中,
,
为
上一点,且
,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8fc167275fdc049c8777831522b7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da18267294924c440b4a5e1d08dd928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c44fdd1d10a0d3cdf70a12a685180b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
A.![]() | B.5 | C.![]() | D.![]() |
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2024-04-10更新
|
607次组卷
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2卷引用:福建省莆田市第二中学2023-2024学年高一下学期期中考试数学试题
名校
解题方法
5 . 已知向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60eed12eb1667a69bf4c11bd0ac74a63.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e95e2990993959f3c7b79631fd55d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60eed12eb1667a69bf4c11bd0ac74a63.png)
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6 . 已知向量
,
,若
与
方向相反,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba59715b8f03c2d1b119b12d23a0a295.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f8d358e2a103d4a6201ab4052fef11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf74c247bc13cae735b5ecf09ac34282.png)
![](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/ba59715b8f03c2d1b119b12d23a0a295.png)
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名校
解题方法
7 . 如图,在矩形
中,点
是
的中点,
是
上靠近点
的三等分点.
,求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804e7ef45aea1cd3ce1c2fee84db3ca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb290dffe61bf232ae20c531d8d3d1b.png)
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2024-04-07更新
|
827次组卷
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5卷引用:福建省厦门市国贸协和双语高级中学2023-2024学年高一下学期第一次月考数学试卷
福建省厦门市国贸协和双语高级中学2023-2024学年高一下学期第一次月考数学试卷(已下线)模块五 专题4 全真能力测试2(人教B版期中研习)(已下线)模块五 专题4 全真能力测试2(苏教版期中研习高一)广东省高州市2023-2024学年高一下学期5月质量监测数学试题四川省内江市第二中学2023-2024学年高一下学期期中数学试题
解题方法
8 . 已知
,
.
(1)若
,求
的值;
(2)求
的最小值;
(3)若向量
与向量
的夹角为钝角,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c0a38a2725a6af300d1fc38c5ed9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74a1f0df2b6cb7bef4b0ce53369c984.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc23a04cdac6439ea170e799f1c1df5.png)
(3)若向量
![](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/36a1b09c653185842513e24ebba60bb3.png)
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9 . 如图,在
中,已知
,点
是边
的中点,且
,直线
与
相交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645ce289c7cd2c004a200cfe5372d36b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e35f4432b823923dd603a90fe13acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf70da2bef86711835648ec4ef8ec5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645ce289c7cd2c004a200cfe5372d36b.png)
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2024-04-04更新
|
607次组卷
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7卷引用:福建省泉州市泉港区第一中学2023-2024学年高一下学期第一次月考(3月)数学试题
福建省泉州市泉港区第一中学2023-2024学年高一下学期第一次月考(3月)数学试题福建省龙岩市上杭县第一中学2023-2024学年高一下学期5月月考数学试卷(已下线)模块五 专题1 全真基础模拟1 (人教B高一期中研习室)(已下线)高一数学下学期期中模拟卷(新题型)-同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)模块五 专题1 全真基础模拟1(苏教版期中研习高一)四川省广元市川师大万达中学2023-2024学年高一下学期5月月考数学试题湖南省耒阳市第一中学2023-2024学年高一下学期第三次月考数学试题
10 . 如图,在平行四边形
中,
分别是边
的中点,
与
交于点
,设
.
表示
;
(2)求
的值;
(3)求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92b49a225184d07baf4781f0655e25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfdbbc32d83b85bf7725dbb320ca09e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33da308d92e9589e211ca612b3c7da76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bce28d31b8e9b17167207069dacbb7.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa70e7c9ef8b856b494d370b7d76482.png)
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2024-04-04更新
|
480次组卷
|
2卷引用:福建省厦门市杏南中学2023-2024学年高一下学期3月月考数学试题