2024高三·上海·专题练习
解题方法
1 . 已知向量
,
不共线,实数
,
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a959afe462b36fa232d8d90c40e85d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee284488e3112e1b450a8be8af85319.png)
A.4 | B.![]() | C.2 | D.![]() |
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2024高三·全国·专题练习
2 . 已知
的边
的中点为
,点
在
所在平面内,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755a7f0e1ab97c600060a43cb2fe23df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac041d06ad0092c21adda1d548951f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
A.5 | B.10 | C.20 | D.30 |
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2024高三·全国·专题练习
解题方法
3 . 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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4 . 四边形ABCD中,
,且
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791666b74a5c0260017e12060c3cc06e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764b88d918c3b2dca6587af4893ad08b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253374ac677c35bf4d1dc260d688b63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
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2024-04-26更新
|
268次组卷
|
5卷引用:黑龙江省大庆市大庆中学2024届高三下学期5月期中数学试题
黑龙江省大庆市大庆中学2024届高三下学期5月期中数学试题(已下线)2024年天津高考数学真题平行卷(基础)北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题(已下线)北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题变式题11-15(已下线)专题01 向量基底、四心及其应用(2)-期末考点大串讲(苏教版(2019))
名校
5 . 已知
为
的内心,
,且满足
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64476ffee8fd79c8ff6682dc504ce0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb370f9f62b28ff9ea09da2d3934c9c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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2024-04-18更新
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3卷引用:【讲】 专题二 与平面给向量数量积有关的范围与最值问题(压轴大全)
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6 . 已知点
为
的重心,
分别是
边上一点,
三点共线,
为
的中点,若
,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/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d61ca8e664467e1459f38392330f141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39072cdfb36cab1af16f04052ea5378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f550df7467478ff491123abe9959bd8e.png)
A.6 | B.7 | C.![]() | D.![]() |
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2024-04-14更新
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2卷引用:黑龙江省大庆市实验中学实验二部2023-2024学年高三下学期得分训练数学试题(四)
名校
解题方法
7 . 已知向量
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f6be725bc2be28f5a3983e10bfeefc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0635dd7654629ef1dc976c116aa17dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04082154fe19c91078a95c1ee219ff93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c1bbdd632e3d014a4aeecd1c2061ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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2024-04-11更新
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3卷引用:湖南省岳阳市2024届高三下学期考情信息卷数学试题
2024高三·全国·专题练习
解题方法
8 . 直线l上有不同的三点A,B,C,O是直线l外一点,对于向量
(
是锐角)总成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac2478ad5060ad1b844dcd74f662b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
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解题方法
9 . 如图在
中,
,满足
.
,求
的余弦值;
(2)点
是线段
上一点,且满足
,若
的面积为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be878f5bdce9a3e9939a4ae743c803b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10072660396c4821badfd7311389e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4879a4ce2bc66b7fe3e5ff2b3f3915f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd084e881d380464cc73aee4697f678.png)
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2024-04-03更新
|
1253次组卷
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3卷引用:湖北省十一校2024届高三联考考后提升数学模拟训练一
湖北省十一校2024届高三联考考后提升数学模拟训练一重庆市礼嘉中学2023-2024学年高一下学期第一次月考数学试题(已下线)第九章:解三角形章末重点题型复习--同步精品课堂(人教B版2019必修第四册)
10 . 如图,在菱形中,
,
,
分别为
上的点,
,
.若线段
上存在一点
,使得
,则
等于( )
A.![]() | B.![]() | C.![]() | D.![]() |
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