名校
1 . 已知向量
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aca11ecbf5cbc486e27b816b9e36469.png)
A.当![]() ![]() |
B.当![]() ![]() ![]() |
C.存在![]() ![]() |
D.若![]() ![]() |
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2022-10-28更新
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1991次组卷
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8卷引用:模块四 三角函数、平面向量与解三角形-1
(已下线)模块四 三角函数、平面向量与解三角形-1湖南省邵东市第一中学2022-2023学年高一下学期第一次月考数学试题陕西省西安市长安区第一中学2022-2023学年高一下学期3月第一次教学质量检测数学试题(已下线)第03讲 平面向量坐标运算5种题型(2)(已下线)6.3.5平面向量数量积的坐标表示(课件+作业)第一章平面向量 单元检测卷湖北省十堰市丹江口市第一中学2021-2022学年高三下学期模拟数学试题(二)广东省肇庆市第一中学2023届高三上学期11月月考数学试题
名校
解题方法
2 . 在
中,
,在
所在平面内的一点
满足
,当
时,
的值为______
取得最小值时,
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](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/0e09d781654672fc40658b89830b7641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f263f0dd26b5fd6f64c6f5b43f9be9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0ab9afeba3ffd4939a81f90d00f069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-01-05更新
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3卷引用:天津市第四十二中学2022-2023学年高三下学期第二次月考数学试题
天津市第四十二中学2022-2023学年高三下学期第二次月考数学试题天津市第一中学2022-2023学年高三上学期第三次月考数学试题(已下线)第07讲 6.3.2-6.3.4平面向量数乘运算的坐标表示(1)-【帮课堂】(人教A版2019必修第二册)
3 . 已知直角梯形
的三个顶点分别为
,
,
,且
.
(1)求顶点
的坐标;
(2)若
为线段
上靠近点
的三等分点,
为线段
的中点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f56120e30c41aa77a37eb4d46f6390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
(1)求顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)若
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01cff32e3f6965f6b72707c8133efcbb.png)
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名校
解题方法
4 . 如图①在平面直角坐标系
中,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9366a89d9d925fc623a308a5c5eed30e.png)
,
,动点
在线段
上.
(1)求
的最小值;
(2)以四边形
为底面做四棱锥
如图②,使
平面
,且
,求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9366a89d9d925fc623a308a5c5eed30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513eafd10fa1ec0196562865517e0b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ef8f34e64439c14ec2d8bab581906d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/96167441-f610-4722-9679-12b00d193fdd.png?resizew=335)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f524ec18dd8fc2f572a9b1ce532395cd.png)
(2)以四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81a6235ef96041dbf59ac50e6e5f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3280cd6719ad73e7e6ab77248baa29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cbddc9b1f36e2cabd9a6c830d14736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc83f34b5a3c1dc09d990ce4bdc8e078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882292451ed3fca6df1e925d12377f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bf006d9cf9568dd567c25fd20a0c85.png)
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名校
解题方法
5 . △ABC的内角A、B、C的对边分别为a、b、c,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8c65bea2c80af038768b74250c694e.png)
(1)求边c的值
(2)若BC,AC边上的两条中线AM,BN,相交于点P,
,以P为圆心,
为半径的圆上有一个动点T,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85c5d733ef8216c74bb633e07357e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8c65bea2c80af038768b74250c694e.png)
(1)求边c的值
(2)若BC,AC边上的两条中线AM,BN,相交于点P,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3432d20e661779ddcefda76afcc2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6d42809b48d4a36e0dc778e044f75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f510136de932dcd3c45332e0a8143d.png)
您最近一年使用:0次
2022-03-28更新
|
536次组卷
|
2卷引用:重庆市第十八中学2022-2023学年高一下学期期中数学试题
名校
解题方法
6 . 在等腰直角
中,角
,
,
所对的边分别为
,
,
,
,
,
是
边上一个动点,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc7563043c2607606e37b80e14b5426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() ![]() | B.若![]() ![]() |
C.对任意的![]() ![]() | D.对任意的![]() ![]() |
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2023-07-09更新
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243次组卷
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2卷引用:广西三新学术联盟2022-2023学年高一下学期5月月考数学试题
21-22高一·湖南·课后作业
7 . 如图,一艘船从港口O出发往南偏东75°方向航行了100km到达港口A,然后往北偏东60°方向航行了160km到达港口B.试用向量分解知识求从出发点O到港口B的直线距离(
,结果精确到
).(提示:将
,
分解为垂直的两个向量.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e3aadffe7154efc3685a9807dcab3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a73724ad0edf3a665cb9bffb970281c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
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2022-02-22更新
|
179次组卷
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3卷引用:湘教版(2019)必修第二册课本习题 习题1.4