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1 . 如图所示,设Ox,Oy是平面内相交成
角的两条数轴,
,
分别是与x,y轴正方向同向的单位向量,则称平面坐标系xOy为
斜坐标系,若
,则把有序数对
叫做向量
的斜坐标,记为
.在
的斜坐标系中,
,
,则下列结论中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9c9451bf99a367f7f29991dc8ab4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2868a9fe011f56a80c9d1a8ee4604d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fe4e713c108e118522a99ecd683924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caf1e8d14ccc468862ad1b4ae29b6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57a73431f93b1cf7fc1eca6cb79e248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e186ebc624ebacde9a03b96289f1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99204cc0147faef5556ac86e805ce74e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/25/d228c494-e413-4a59-a511-4f6e5f963fae.png?resizew=182)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() ![]() |
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2023-06-20更新
|
200次组卷
|
2卷引用:河北省沧州市重点高中2022-2023学年高一下学期期中联考数学试题
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解题方法
2 . 设平面向量
,
,
在
方向上的投影向量为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7958a6bddd1d578bbd6fbcb92e3f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 下列命题中,正确的是( )
A.已知向量![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若不平行的两个非零向量![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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4 . 下列有关向量命题,正确的是
( )
![](https://img.xkw.com/dksih/QBM/2023/4/28/3226365555302400/3235477230411776/STEM/165075b8cddd4d5e9a36927e7aa74575.png?resizew=4)
A.若![]() ![]() |
B.已知![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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解题方法
5 . 如图(1)所示的摩天轮抽象成如图(2)所示的平面图形,然后以摩天轮转轮中心为原点,以水平线为x轴,建立平面直角坐标系,设O到地面的高OT为
,点P为转轮边缘上任意一点,点P在x轴上的垂足为M,转轮半径为
,记以OP为终边的角为
,点P离地面的高度为
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/115caf73-6276-4d8c-a5d7-143b4afb2f45.png?resizew=275)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb16b8a620122ba56f3c1f58cc14d8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc89e167445f57af700e0a08a55fa6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44acef18b35142eb1ae266b1fa647b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88fe6a2d072c72893ad586c9b0c6cca7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/115caf73-6276-4d8c-a5d7-143b4afb2f45.png?resizew=275)
A.点P坐标为![]() | B.![]() |
C.![]() | D.![]() |
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2023-05-11更新
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303次组卷
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2卷引用:山东省潍坊诸城市、安丘市、高密市2022-2023学年高一下学期期中检测数学试题
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解题方法
6 . 已知
的内角
的对边分别为
,且
,则使得
的条件可以为( )
![](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/d802dd9aa4fcd891313a32d46a213b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 下列命题正确的是( )
A.![]() |
B.已知向量![]() ![]() ![]() ![]() |
C.向量![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-05-05更新
|
264次组卷
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2卷引用:江苏省淮安市马坝高级中学2022-2023学年高一下学期期中数学试题
解题方法
8 . 下列命题中错误的是( )
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2023-05-02更新
|
467次组卷
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3卷引用:江西省智慧上进联盟2022-2023学年高一下学期期中调测试数学试题
解题方法
9 . 如图,
中,
,
,
,
为
的中点,
与
交于
,则下列叙述中,一定正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/fea66241-7f42-4f88-ad4e-22c3f9ab8d58.png?resizew=159)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbaccd578a43b2397c8bdd50592fa07.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/fea66241-7f42-4f88-ad4e-22c3f9ab8d58.png?resizew=159)
A.![]() ![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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10 . 若向量
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e808d3a712ce6fffba310a90836f2dcf.png)
A.向量![]() ![]() ![]() |
B.向量![]() ![]() ![]() |
C.在平行四边形![]() ![]() ![]() |
D.在平面四边形![]() ![]() ![]() ![]() ![]() |
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