名校
解题方法
1 . 已知
,存在
满足
.
(1)求向量
、
、
的坐标;
(2)求
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb43aa6d0d0e1f9102d76bcfefa6ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa47f31314de956658ba592a17871d.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0c233484ce028819ebd0c86b75a92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e3921e92ab4a807bfb6e793240d879.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0c233484ce028819ebd0c86b75a92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e3921e92ab4a807bfb6e793240d879.png)
您最近一年使用:0次
2 . 已知向量
.
(1)求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0651a88c2bac27bee6d0f291a4e9be.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1768d1918c2e68b5df05d2dfc39633a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc16f74e4183a95521588436c702b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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3 . (1)化简下列各式:
①
;
②
.
(2)已知向量
,
,
与
的夹角为
.
①求
;
②求
.
(3)已知向量
,
.
①求
;
②若
,求实数
的值.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4074b93ead6f32e784576801e5193c00.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb22718194f581c971f54e7bc2e77a.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(3)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5463fb0b7d03747aa4d680620ca81be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aabefecd4de8455e21919d34005588f.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e6f98f23fea7db0f74897928024ca0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d209e529faa74004ca556cf3d6b321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
解题方法
4 . 已知
为坐标原点,向量
,
,
,若
,
,
三点共线,且
,求实数
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c057f49b593e7506b5257006d7bfbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32e83e1d95b6d7efdf82cbe58318002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62c3f97b711164cf464954beab026da.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/1c96fd0cc58da87f4ca335c16769d3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
5 . 向量
,
,
,
.
(1)求
;
(2)若
,
,向量
的夹角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010632a752a68ced11aaf8ac2f3be311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f082ecee986281f05ee38aa11a50e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46b85eb5d4866f6661beed802fa9f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c17c5bde88762233bf20c8b6e4ec619.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596a3ee5d8473fc6619ea7730e13325b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff959fd97e7ad214e07e136563e70bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675c34ffc5540451f4e5f9c24b0d6be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662917aedec92809a13618093c8e0c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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6 . (1)平面内给定三个向量
若
,求实数k的值;
(2)在平面直角坐标系中,已知点
,若
,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fb87316fa3c4cc60f4bd8281837f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3579375ce1fdfec4034fceca6a9b34.png)
(2)在平面直角坐标系中,已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ff6921ab5f20c81f21924316860105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
您最近一年使用:0次
7 . 设
是线段
上的一点,点
.
是线段
的中点时,求点
的坐标;
(2)当
时,求点
的坐标;
(3)当
时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a949c00526fddf435423272cf10f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e453fda86a168d28478bd9772bee9d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a949c00526fddf435423272cf10f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc0dbd21a6900ed74550f4ca2007f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b5bb87687b19fbc48be9068db60da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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名校
8 . 如图,在
中,角A,B,C的对边分别是a,b,c,D为BC边上一点,已知
,
,
.
,求AD的长;
(2)若D为BC边的中点,E,F分别为AB边及AC边上一点(含端点).且
,
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e0396017be75f8c0dd946b9ee2cc3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)若D为BC边的中点,E,F分别为AB边及AC边上一点(含端点).且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d799dcd1a10fdfffeb26c4df6fcfdfd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe832c4d2756650956b3291af7d607c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dac35a258367981ca2731750f767176.png)
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名校
9 . 在四边形
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2146e0b66e5d749bc6224996dc8ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
.
(1)求
与
的关系式;
(2)若
,求
的值以及四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2146e0b66e5d749bc6224996dc8ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a754ad0537577221e7be168127d7cba.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc9448c4e9a71c0ec8a1de4904b7bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
名校
10 . 已知向量
,
,求:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4314d4db4c3db74a35c677bffd4904e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90228b2c60be77aa67d80ccbd531c234.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6e7fa9384531ef24312fda723007c1.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb5fb0559ea7b79ab784a94924dc454.png)
您最近一年使用:0次
2024-04-17更新
|
360次组卷
|
10卷引用:新疆维吾尔自治区喀什地区喀什市2022-2023学年高一下学期期中质量监测数学试题
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