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解题方法
1 . 已知向量
,
是平面上两个不共线的单位向量,且
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b836212a1f60c52e97fc1c1f02083b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f4fcc6ffd59304498b831f9274a208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01f95a0cdf1e0625b48bc59f6315f18.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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2 . 我国古代人民早在几千年以前就已经发现并应用勾股定理了,勾股定理最早的证明是东汉数学家赵爽在为《周髀算经》作注时给出的,被后人称为“赵爽弦图”.“赵爽弦图”是数形结合思想的体现,还被用做第24届国际数学家大会的会徽.如图,大正方形
是由4个全等的直角三角形和中间的小正方形组成的,若
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f7a1c82149d1c16aabb5c409be966d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e675b6e6a7b02a277fd04ff03b6bc748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7874d02754a4cef2daf1213fc8c294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd27dd5543eabc922bdbe03eb5bfd496.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在
中,
是边AB上一定点,满足
,且对于边AB上任一点P,恒有
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae09825e6daf2f0d80a67ee1b4c4b4a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1cdd39367b92b45d53b54390fa8d214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.等腰三角形 | B.钝角三角形 |
C.直角三角形 | D.锐角三角形 |
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2024-05-04更新
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4 . 如图,在等腰梯形
中,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb61907b2cc3430c4100c8f04cd15a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd27dd5543eabc922bdbe03eb5bfd496.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 如图,在平行四边形ABCD中,
,
.CE与DF交于点O.设
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940099db7ffe6b3f7e70afcfba66750a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678851c61127dd37d837d46fc982d6fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc9229b0705e5b0ac0ccd9f79fab37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de2e353087f4f291ec7f5004a5a76d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,在
中,
为边
的中点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd27dd5543eabc922bdbe03eb5bfd496.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6卷引用:广东省四会中学、广信中学2023-2024学年高一下学期第二次月考数学试题
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7 . 在下列各组向量中,可以作为基底的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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8 . 在
中,已知
,设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知平面向量
,
不共线,
,
,
,则( )
![](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/c6a8c0acc204614e28ea8b06b95599c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e8a481b9ab0133288d19a8eba09b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c01b3f778692d02bb0654db1df1a7e.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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10 . 如图,在平行四边形
中,点
是
的中点,点
为线段
上的一个三等分点,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253dd1bb4882b135dd9fea8666a7906d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2263a304d057d6d4a1f9817aa9d1b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
A.1 | B.![]() | C.![]() | D.![]() |
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|
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4卷引用:广东省中山市永安中学2023-2024学年高一下学期第一次段考数学试题
广东省中山市永安中学2023-2024学年高一下学期第一次段考数学试题湖南师范大学附属中学2023-2024学年高一下学期第一次大练习数学试题(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)(已下线)专题3 以平面几何图形为背景的向量综合问题【练】(高一期末压轴专项)