如图,O是正六边形ABCDEF的中心.
(1)图中所示的向量中与
的模相等的向量有几个?
(2)图中所示的向量中与
共线的向量有几个?
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/12/3f1057bf-7da0-4bf2-9690-4090c1bb8650.png?resizew=144)
(1)图中所示的向量中与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
(2)图中所示的向量中与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
21-22高一下·全国·课后作业 查看更多[5]
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更新时间:2023-07-09 20:02:35
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解题方法
【推荐1】已知非零向量
,
满足
,且
.
(1)求
与
的夹角;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29058829233ab9ff392c3f63ce3c1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088748a2f5adb7e2b701566667f84eae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9b84d106f8007ce18104dcb58360c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75137f9e7ad51d1ec1c8dbef2d5a9ef6.png)
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【推荐2】如图所示,O为正方形
对角线的交点,四边形
,
都是正方形,在图中所标出的向量中,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3c102e50-171e-44ad-8e84-040b6486767e.jpg?resizew=190)
(1)分别写出与
,
相等的向量;
(2)写出与
共线的向量;
(3)写出与
模相等的向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612d205b9f558fef350ad20ee3a0a61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da06e086d788da8558492c9f389d9b04.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3c102e50-171e-44ad-8e84-040b6486767e.jpg?resizew=190)
(1)分别写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af805a5c024382da021b845b971b3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e806a09026955ac39efb022ad37027.png)
(2)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af805a5c024382da021b845b971b3cd.png)
(3)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af805a5c024382da021b845b971b3cd.png)
您最近一年使用:0次
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【推荐1】如图所示,O为正方形
对角线的交点,四边形
,
都是正方形,在图中所标出的向量中,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3c102e50-171e-44ad-8e84-040b6486767e.jpg?resizew=190)
(1)分别写出与
,
相等的向量;
(2)写出与
共线的向量;
(3)写出与
模相等的向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612d205b9f558fef350ad20ee3a0a61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da06e086d788da8558492c9f389d9b04.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3c102e50-171e-44ad-8e84-040b6486767e.jpg?resizew=190)
(1)分别写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af805a5c024382da021b845b971b3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e806a09026955ac39efb022ad37027.png)
(2)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af805a5c024382da021b845b971b3cd.png)
(3)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af805a5c024382da021b845b971b3cd.png)
您最近一年使用:0次
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【推荐2】如图所示,O为正方形ABCD对角线的交点,四边形OAED,OCFB都是正方形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/6a0020f7-7094-46ee-a7b2-e777ea00fb0a.png?resizew=216)
(1)写出与
相等的向量;
(2)写出与
共线的向量;
(3)向量
与
是否相等?
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/6a0020f7-7094-46ee-a7b2-e777ea00fb0a.png?resizew=216)
(1)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7f004f23ec3f968d885cb111aac4e2.png)
(2)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7f004f23ec3f968d885cb111aac4e2.png)
(3)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7f004f23ec3f968d885cb111aac4e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ed6e7a37b0b33d48a58140f0224419.png)
您最近一年使用:0次