名校
解题方法
1 . 已知向量
,
,
.若
与
垂直,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5463fb0b7d03747aa4d680620ca81be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0979ead3a09ede4835e7fe77c87850f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53dec1d306c6f467257184d11baa451d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3956599a5821a2018992785421abe720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.2 | D.![]() |
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名校
2 . 已知平面向量
,
满足
,
,并且当
时,
取得最小值,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7c6e69895574db29f6326bd82f21e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9fde8d670b8d1bc619f5722467a87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2fa77da3a803251ab7a62214d00455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd135b98371091fc7cd40b6435caf1a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
分别为双曲线
的左右焦点,l经过
交双曲线右支于A,B两点,且
,则b=___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2855d0a2c217c344a0823bfc8f954d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37bc15319f9c914ee1fa4e8f47812b6.png)
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4 . 如图,在平面四边形
中,
,
,
,
,
、
分别是
,
的中点,
为线段
上一点,且
.设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/86d9effa-030e-4033-81ec-e422e76bc569.png?resizew=187)
(1)若
,以
,
为基底表示向量
与
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d730ae4307db56b47849c3a19dedfb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf4ec2987f0a536119cbae7bd3e0213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b54aa2b7f9adf409f0ce8e00615432.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/86d9effa-030e-4033-81ec-e422e76bc569.png?resizew=187)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b8a2a41a8b50e10d68943e3f0f4e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568ed82f6aba5e5e5f896de9571233c7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e73380e6dc09aa00aa6738eeb46df5.png)
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湖北省沙市中学2022-2023学年高一下学期5月月考数学试题河北省邯郸市2021-2022学年高一下学期期末数学试题江苏省如皋市长江高级中学、淮安市南陈集中学2022-2023学年高一下学期3月联考数学试题(已下线)9.3.1 平面向量基本定理-【题型分类归纳】2022-2023学年高一数学同步讲与练(苏教版2019必修第二册)(已下线)6.3.1 平面向量基本定理(精讲)-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)(已下线)期末专题04 平面向量大题综合-【备战期末必刷真题】
名校
解题方法
5 . 如图,在钝角
中,角
所对的边分别是
,
,过点
作与
垂直的单位向量
,将
与向量表达式
两边进行数量积的运算,即
,化简后得到的结论是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647f810ff679172f321d3aebe43cba02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2079be0b9d0919862ca5bc8ea565f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2079be0b9d0919862ca5bc8ea565f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9548a29e572f3e26d72975f0be8cd35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346678839c47b5d351dc98a412bf2d19.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
6 . 设非零向量
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1eea45a8f50799dbe8ac66d5b920cdf.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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名校
7 . 已知向量
,
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acdd80322d8feb53a059998f2ac8810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ba553f964ea30b3ba074d76dec82b8.png)
A.若![]() ![]() |
B.存在![]() ![]() |
C.与![]() ![]() |
D.向量![]() ![]() ![]() |
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解题方法
8 . 下列命题中,是真命题的是( )
A.已知非零向量![]() ![]() ![]() ![]() |
B.若命题p:![]() ![]() ![]() ![]() |
C.在△ABC中“![]() ![]() |
D.在△ABC中,![]() ![]() |
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名校
解题方法
9 . 下列命题中,正确的是( )
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若不平行的两个非零向量![]() ![]() ![]() ![]() |
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|
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解题方法
10 . 在
中,D、E分别是BC、AC的中点,且
,
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cab770d39414b92f6ddbcc6572a172c.png)
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