名校
解题方法
1 . 在
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392aacfacbb2e65fe1c957370f1a08df.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3578b63c5903089595bf324c809a997c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392aacfacbb2e65fe1c957370f1a08df.png)
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2024-04-17更新
|
318次组卷
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2卷引用:甘肃省天水市第一中学2023-2024学年高一下学期4月月考数学试题
名校
解题方法
2 . 若向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1748624e1f8460959a827fa4b55bff34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1748624e1f8460959a827fa4b55bff34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.2 | C.1 | D.0 |
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2024-04-15更新
|
765次组卷
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3卷引用:甘肃省天水市第一中学2023-2024学年高一下学期4月月考数学试题
3 . 设
,
为两个不共线的向量,若
,
.
(1)若
与
共线,求实数
的值;
(2)若
,
为互相垂直的单位向量,且
,求实数
的值.
![](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/723e66590304ac6889f381c3ac0c106e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9d1f6ce6260c75de43b5bdce2b4386.png)
(1)若
![](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/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](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/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
4 . 如图,平面上A,B,C三点的坐标分别为
.
的坐标;
(2)如果四边形ABCD是平行四边形,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af9f86ebe647e584ad01b75822cd96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d74a69d02c169c99d88f5fb3954526.png)
(2)如果四边形ABCD是平行四边形,求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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2024-04-10更新
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2卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高一下学期第一次月考数学试题
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解题方法
5 . 若向量
是两个单位向量,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-10更新
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2卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高一下学期第一次月考数学试题
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6 . 已知向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a019c35a09b9fcb44a885e9e8be09b5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f18baac82cd7deb3fa3630a7d7c1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a019c35a09b9fcb44a885e9e8be09b5.png)
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解题方法
7 . 已知
的内角A,B,C所对的边分别为a,b,c,向量
,
且
.
(1)求角A;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aed3e746ba4faceab675c22f3d39da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55aa8ab39b859f842fd26246d2c3d463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b5f7053c7a9f7582246ca606d55f6.png)
(1)求角A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21143d45f8a1eec5a18f3b82c78ac217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-04-10更新
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8 . 已知平行四边形
的面积为
,
,且
.若F为线段
上的动点,且
,则实数
的值为___________ ;
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27567d43c5b91382ee3d7ca708ee422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e90f9f4e44173888a54c624852064a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea8abb4cab55296ca7fc63de0af0aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a03511c689527acfb497e69775d0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fe25a156a25f00d47e1498eec473c2.png)
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2024-04-10更新
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1258次组卷
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2卷引用:甘肃省张掖中学2023-2024学年高一下学期4月月考数学试卷
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解题方法
9 . 如图,在梯形
中,
,
,
,点
分别为线段
,
上的三等分点,点
是线段
上的一点.
的值;
(2)求
的值;
(3)直线
分别交线段
于M,N两点,若B,N,D三点在同一直线上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762f99edee52c4984ba077facc51d8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f864244952b60f3648f08a19268efae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c2d86d8daea5e652d99fe1c6bc3f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bad16b7cdf8c638cd324f5be5d834f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa64009879efc50d310d24052fe5c8.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4572fa04373cd8e1e005a2f34f3953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c1292487839550e3724ba9c2eee94e.png)
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2024-04-10更新
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6卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高一下学期期中考试数学试卷
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解题方法
10 . 已知
是不共线的向量,且
,若
三点共线,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af689254c11165b2e1e984e518f6fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65183d238c9bc2be73770717d890683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.1 | C.2 | D.4 |
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3卷引用:甘肃省武威第十八中学2023-2024学年高一下学期期中考试数学试卷
甘肃省武威第十八中学2023-2024学年高一下学期期中考试数学试卷江苏省海门中学2023-2024学年高一下学期三月学情调研数学试卷(已下线)专题01 平面向量重难题型(1)-期末真题分类汇编(江苏专用)