1 . 已知向量
,
,
为非零向量,下列说法正确的有( )
![](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/73a0b19e69be46452425916a0fcb49c9.png)
A.若![]() ![]() ![]() |
B.已知向量![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() |
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2 . 在
中,角
所对的边分别为
,
为平面内一点,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
3 . 已知非零向量
满足
,
(
)的最小值为2,则
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddfe7860565faf6cbc2c08fb4a0d6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd9ab255277f190fb3a714f3cdacdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d5e2dfa2d5b134c85995877eff156b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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4 . 如图,在梯形
中,
,
,
,
,
在线段
上.
,用向量
,
表示
,
;
(2)若AE与BD交于点F,
,
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4148817c0a463417ec02769a7abc5913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bf00aeba15bce2cdee8ab487388dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
(2)若AE与BD交于点F,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eb6b6ee8c74422693cc91262d54070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f673c9b0ad6537149f4d9b3b6d8c63c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7062eabb42603c793fef3a792a9191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2024-05-23更新
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5 . 已知平行四边形ABCD,点P在
的内部(不含边界),则下列选项中,
可能的关系式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7239b3f2d88c2e45e17e5de9ae1a332.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 .
的重心为点
,点O,P是
所在平面内两个不同的点,满足
,则( )
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc857dc2282a5493027d7ade991f91f4.png)
A.![]() | B.![]() |
C.![]() | D.点![]() ![]() |
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7 . 下列说法错误的是( )
A.若![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.两个非零向量![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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8 . 在平行四边形
中,
,且
,则平行四边形
的面积为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7f33064bef5f9773ebb953a00a35d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf68831c4a80d0ef3b08ffc98772f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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