名校
解题方法
1 . 已知
,
是两个不共线的向量
,
,若
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f2b1408644b6ab804d0e0205297f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a13680f71c5f27aeff1e2f8e60739a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867524a2deaa0a9972d84a74a4d7efb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6733d11c1d816fab1026a3c5b9717b.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/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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2024-05-29更新
|
300次组卷
|
13卷引用:河北省沧州市沧县中学等校2023-2024学年高一下学期3月联考数学试题
河北省沧州市沧县中学等校2023-2024学年高一下学期3月联考数学试题河北省承德市承德县第一中学等校2023-2024学年高一下学期3月联考数学试题河北省保定市定州中学2023-2024学年高一下学期3月月考数学试题河北省保定市定州市第二中学2023-2024学年高一下学期3月月考数学试题山东省泰安市泰山国际学校2023-2024学年高一下学期3月月考数学试题河北省石家庄市第十五中学2023-2024学年高一下学期第一次月考数学试题陕西省西安市浐灞第二中学2023-2024学年高一下学期第一次月考检测(3月)数学试卷福建省部分优质高中2023-2024学年高一下学期期中质量检测数学试题广东省江门市新会第一中学2023-2024学年高一下学期期中考试数学试题北京市陈经纶中学2023-2024学年高一下学期期中练习数学试卷(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)河北省石家庄二十四中2023-2024学年高一下学期期中数学试题云南省昆明市官渡区第一中学2023-2024学年高一下学期5月期中数学试题
2 . 已知x、y是实数,向量
不共线,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b889d7253cc87a9a79e9da19604b209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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名校
3 . 已知
,
,
是同一平面的向量,其中
是单位向量,非零向量
与
的夹角为
,向量
满足
,则
的最小值是__________ .
![](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/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c936cc3a7aa0bcdfea15977d4ffe51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5382bd3fda4371289ce6800f71f9565.png)
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名校
解题方法
4 . 在四边形
中,
,点
是四边形
所在平面上一点,满足
.设
分别为四边形
与
的面积,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5c145e588834d756ea8a81504abce4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a166eb8b7caa853b8b28bf86e70fe24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0b7eaf847d85bcf033f2b17ccb5158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b056a90a2751f04ba5fff3dc5c1d0674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5c145e588834d756ea8a81504abce4.png)
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2024-05-22更新
|
275次组卷
|
3卷引用:山西省长治市上党区第一中学等校2023-2024学年高一下学期4月期中联考数学试题
名校
解题方法
5 . 已知
是两个不共线的单位向量,
,若
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaccfa28fcd8b60194990aca32418470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767d528552e15b75c57973919e6f1102.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/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
,
是不共线的向量,且
,
,
,若
、
、
三点共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a5f42a10c1c223015f1ef2b1a9d3eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c402485f2e91271fb059cb0f67e1bfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72aeb042f9a99df4512a16711ae46705.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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7 . 已知向量
共线,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ef55542504e8d147448cbfb6eaad7a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7b5830f193cc3d5e0b3bf50bf7689e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ef55542504e8d147448cbfb6eaad7a.png)
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解题方法
8 . 在
中,点
是边
上(不包含端点)的动点,若实数
,
满足
,则
的最小值为___________ .
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0627c5fbc080e858cea342516ec0f0df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f11b3888e4ba50a751ff521419309f5.png)
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9 . 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
|
544次组卷
|
3卷引用:江苏省扬州中学2023-2024学年高一下学期4月期中数学试题
名校
10 . 已知单位向量
,向量
,
,若
,则实数λ=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a3f5738c22b6b5b7f9b97151c13fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8479e372e24ca1e9d10635911d196f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fd64dee77f9c804a7385acd980a932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
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2024-03-21更新
|
1105次组卷
|
4卷引用:陕西省西安地区八校2024届高三下学期联考数学(文)试题