名校
解题方法
1 . 已知D为等边
所在平面内的一点,
,且线段BC上存在点E,使得
.
(1)试确定点E的位置,并说明理由;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6426e2019481f3be516850146b69033f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eb08748252823f74f095feb6836ca5.png)
(1)试确定点E的位置,并说明理由;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb85c63b63db7c8f4f48529abcc0420c.png)
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2022-11-15更新
|
498次组卷
|
4卷引用:湖北省夷陵中学、襄阳四中、随州一中2021-2022学年高一下学期3月联考数学试题
2 . 在
所在的平面内有两点
,
,
,
,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/25a128ed3234baf5dd65a59640b5d66c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49358120c0198169b82bcc3d3c77904b.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() ![]() |
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21-22高一下·上海浦东新·阶段练习
名校
3 . (1)已知
为
外接圆的圆心,若
,
,则
是否为定值?若是,求出这个值;若不是,请说明理由;
(2)若点D为边BC上一点,点E为边AC中点,AD与BE交于点P,且
.若
(x、
),求x、y的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f371c0b1d573c06516ab1904d95ee49f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54c556458d8075aa2d133615725f8e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56f3ad7839112bd580857479d253883.png)
(2)若点D为边BC上一点,点E为边AC中点,AD与BE交于点P,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10bc9e1a36293cca8dc7c5297b17736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f92aef16f5f17f7613e92f34c38e82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
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解题方法
4 . 已知平行四边形
中,
,
,AE和BF交于点P.
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279555710976/STEM/9badeac5-c79e-441a-aa96-5b4da5d385a9.png?resizew=196)
(1)试用
,
表示向量
.
(2)若
的面积为
,
的面积为
,求
的值.
(3)若
,
,求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70b9197520d3da41e2e01480f580e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048f7048ab21fd6a752f3f64d9a4db30.png)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279555710976/STEM/9badeac5-c79e-441a-aa96-5b4da5d385a9.png?resizew=196)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fe2d802f2b37e7db198c5a3c1df9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228f4ddbb8959f904d71259be7c6ab36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1395fa3420959a18d91b324adc622116.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3cd61d00f89e68ccca2cac5c937783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceff3844281849df3e37a2e56e110549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034d174a0dfdfb1d66f1b62b6eef445c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923e40c9e7682a0c2d0006b6398c1e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bac5b9c067002bc06fb400d6c4f3512.png)
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2022·全国·模拟预测
名校
5 . 在边长为
正六边形
中,
是线段
上一点,
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.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/b340e437835c288e3c793c58c883eacd.png)
A.若![]() ![]() |
B.若向量![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2022-05-17更新
|
981次组卷
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8卷引用:江苏省南通市通州高级中学2022-2023学年高三上学期第一次阶段性测试数学试题
江苏省南通市通州高级中学2022-2023学年高三上学期第一次阶段性测试数学试题(已下线)2022届高三普通高等学校招生全国统一考试数学押题卷(六)山西省运城市盐湖区运城市康杰中学2022-2023学年高一下学期第二次月考数学试题江苏省扬州市宝应中学2023-2024学年高一凌志班上学期9月月度纠错数学试题江苏省部分学校(徐州市第七中学等)2023-2024学年高三上学期第一次联考数学试题(已下线)考向24 平面向量的基本定理及坐标表示(重点)(已下线)2023届高三第二次月考押题卷(测试范围:集合与常用逻辑用语、不等式、函数与导数、平面向量、三角函数与解三角形)黑龙江省哈尔滨市第九中学校2022-2023学年高三下学期开学测试数学试卷
6 . 如图,在四边形ABCD中,
,
,E是线段CD上的点,直线BD与直线AE相交于点P,设
,
,
.
,
,
,E是线段CD的中点,求与
同向的单位向量的坐标;
(2)若
,用
,
表示
,并求出实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d730ae4307db56b47849c3a19dedfb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4575a365b8e619654a7327d216f23783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfca12290a98993f84d7ee4b8caaa9d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d587e96eb8c73f677da202d5255b690b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711f1c9e52c41b71e16c8dc85a58eae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e3a62c262064b5ea919da7eab436de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d231ae53e3341fec3e56bc59b3acaed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c04646983028a2088682a2c116672d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6df2d9d2afb376c3c54894b915705f4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e7b83a2497d1662d1a95ec4cbb7495.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/2173a791f504749b01c97b951be4b940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2022-05-02更新
|
724次组卷
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5卷引用:湖北省六校新高考联盟2021-2022学年高一下学期4月联考数学试题
湖北省六校新高考联盟2021-2022学年高一下学期4月联考数学试题贵州省六盘水市第二中学2021-2022学年高一6月月考数学试题(已下线)第02讲 平面向量基本定理及坐标表示 (精讲)-2023年高考数学一轮复习讲练测(新教材新高考)江西省上饶市横峰中学2022-2023学年高二上学期开学考试数学试题辽宁省大连市滨城高中联盟2022-2023学年高一下学期3月月考数学试题
名校
7 . (1)已知函数
,
,求函数
的值域;
(2)已知G是
的重心,
,过点G作直线
交AB、AC边分别于点E、点F,设
,
,证明:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5fdcbb5e35dd6f2aa197b981753298b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc56ec302f08c279d7be7a3bfe29faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知G是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbf438660d3f1d1df13b7abb7db8c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf37aae6dfc87b5ca6cfb7800c0b389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6ef609986099d56ad948e8cc30775f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2541d50bf6e922f455907c3ca28177d4.png)
![](https://img.xkw.com/dksih/QBM/2022/4/11/2955720325898240/2957805384810496/STEM/ce6ab89e-be1f-49a7-82b0-c634bb8ff8b4.png?resizew=244)
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名校
8 . 下列说法正确的是( )
A.在△ABC中,![]() ![]() |
B.已知非零向量![]() ![]() ![]() |
C.已知![]() ![]() ![]() ![]() |
D.在边长为4的正方形ABCD中,点E在边BC上,且![]() ![]() |
您最近一年使用:0次
2022-03-29更新
|
1073次组卷
|
4卷引用:重庆市巴蜀中学2021-2022学年高一下学期3月月考数学试题
重庆市巴蜀中学2021-2022学年高一下学期3月月考数学试题(已下线)专题53 盘点平面向量问题——备战2022年高考数学二轮复习常考点专题突破江苏省宿迁市泗洪县第一高级中学2022-2023学年高一下学期期中数学模拟试题江苏省徐州市第一中学2022-2023学年高一下学期期中数学试题
名校
解题方法
9 . 古希腊数学家帕普斯通过在矩形ABCD中构造内接直角三角形
,证明了三角公式
(其中
,
),如图所示.若
,
,
,
,
,则
( )
![](https://img.xkw.com/dksih/QBM/2022/3/20/2940369830928384/2941054241226752/STEM/e35361e78d68483bac863ddb3d64cdf0.png?resizew=212)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a99231762cc1f8e5a24eb850fd68179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff8eb79da2ae1202feebf45ba5e795c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9ab5a9114daaa0fd3f6c5f1885f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b1ead51f425ab15cd48f1a6c692597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4746df85049d1651d3f6c30212a7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cf714ffb3fd5917a76b191640b55fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d55e12ea3dcb598e211c7bb0b27d561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c92f7c7fa2449d3f7f7d27412824bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f9c8e87f26ea0bb0c23c51bd35ec4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abb7f79e3864081e296e7ee6db3d1e2.png)
![](https://img.xkw.com/dksih/QBM/2022/3/20/2940369830928384/2941054241226752/STEM/e35361e78d68483bac863ddb3d64cdf0.png?resizew=212)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-03-21更新
|
535次组卷
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3卷引用:九师联盟(山西省)2022届高三3月质量检测数学(文)试题
名校
解题方法
10 . 已知
的重心为
,点
是边
上的动点,则下列说法正确的是( )
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2022-02-27更新
|
1206次组卷
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3卷引用:山西省大同市第一中学校2021-2022学年高一下学期4月学情检测数学试题
山西省大同市第一中学校2021-2022学年高一下学期4月学情检测数学试题(已下线)第01讲 平面向量与三角形中的范围与最值问题-2022年暑假高一升高二数学衔接知识自学讲义(人教A版2019)百师联盟2021-2022学年高三上学期第一次模拟考试联考数学试题