在三角形ABC中,已知
分别是线段AB,AC上的点,且
,
.若M、N分别为线段EF、BC的中点.
(1)用
,
表示
;
(2)判断A,M,N三点是否共线?若是,写出证明过程;若不是,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ed003b25adcd1e39639feab0b18615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35df2865beb3ed693b02d4e1de55bd60.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a014dff8997c661055229de29c61cfc.png)
(2)判断A,M,N三点是否共线?若是,写出证明过程;若不是,则说明理由.
22-23高一下·江苏连云港·期末 查看更多[6]
江苏省连云港市海头高级中学2022-2023学年高一下学期期末模拟数学试题(已下线)模块三 专题4 大题分类练(平面向量)拔高能力练(人教A)(已下线)模块三 专题5 大题分类练(平面向量)拔高能力练(北师大版)(已下线)模块三 专题4 大题分类练(平面向量)拔高能力练(苏教版)(已下线)模块三 专题4 大题分类练(平面向量)基础夯实练(苏教版)(已下线)江苏省高一下学期期末真题必刷 -期末考点大串讲(苏教版(2019))
更新时间:2023-06-14 11:22:01
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解答题-问答题
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解题方法
【推荐1】设a,b,c分别为
内角A,B,C的对边,已知
,
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(1)求A的值;
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621f0f565c473d7f14a912acd2191e66.png)
(1)求A的值;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d253dd9af597ae29b98628f185eb447.png)
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【推荐2】如图,在平行四边形
中,
、
分别为线段
、
的中点.
![](https://img.xkw.com/dksih/QBM/2021/7/6/2758468664213504/2778948201783296/STEM/68ca7ba7-76a4-4e9b-97fc-5aaba484b58c.png?resizew=330)
(1)若
,求
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(2)若
,
,
,求
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2021/7/6/2758468664213504/2778948201783296/STEM/68ca7ba7-76a4-4e9b-97fc-5aaba484b58c.png?resizew=330)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5d4ad19f64c408b627ff9f6146a733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
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【推荐1】在长方形
中,E为边DC的中点,F为边BC上一点,且
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.
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,
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,
,
;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571662e11cff4b9a48a3cdf8704977d8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
(1)试用基底
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae54940f33b8714da5fe3b7546f8b3dc.png)
(2)若G为长方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b52a45ca1340c5986d7987e92f9bcc0.png)
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解题方法
【推荐2】设
是不共线的两个非零向量.
(1)若
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0853513e9bbc228f440ae7ecd66b9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf25c3c34898ebc352c02b56a892089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059b6a56bc1d3cc624ee11757322577e.png)
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【推荐1】如图所示,在△ABC中,点M是AB的中点,且
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【推荐2】已知在
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(2)若
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【推荐3】在梯形
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