已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409ade1a2cc3745209977f78f731bfc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272ef54b04d41a9502a08270ecba3ae1.png)
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23-24高一下·福建泉州·期中 查看更多[6]
更新时间:2024-05-09 07:51:33
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【推荐2】如图,当
时,定义平面坐标系xOy为
仿射坐标系,在
仿射坐标系中,任意一点M的斜坐标这样定义:若
,其中
,
分别为与x轴、y轴正方向相同的单位向量,则M的斜坐标为
.在
仿射坐标系中,若
,M的斜坐标为
,则O到M的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23d8ac9e50512758c9dc0cff003ac45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4446f654cf8401b640cc79c2b97af5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4446f654cf8401b640cc79c2b97af5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d311413261abe82807a41c49a568c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb44a67685be91530b8fdd79500ca83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511b867dc688231af2322b8dc20c1d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4446f654cf8401b640cc79c2b97af5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e2c8d466ab8eb5ecd38060b53bbe8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a20a61d384b658080b92d8c1a9e7c0.png)
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解题方法
【推荐1】在三棱锥
中,
平面
;记直线
与直线
所成的角为
,直线
与平面
所成的角为
,二面角
的平面角为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd654221ab95fe241d9e0202443f2609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1caa30617793388c5dfe6bfba682fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6d47edbcc2ae6efcfd7f28e401e3e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
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【推荐2】在菱形
中,
,对角线
,
交于点
,
,
,
,
分别是边
,
,
,
上的点,若
,
,
,则
与
的夹角的余弦值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e0b64d25ddd18454f88e40c45d7d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728e5d9f46f87f6693261ebc41c7abcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc758cabef8f0ccee5d26674f2a21f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edd58605e8ae9edf6ea20d42813ce8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288480e3173dc701db480491598271c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7d7846c5bca054d6c36437bd6d1227.png)
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【推荐3】若非零向量
满足
,且
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b5b9f404446de99fda434c78f826e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a774040f119d0446cf9998abc859f0a.png)
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