已知点
为
中边
上一点,
.
,求
的值.
(2)设
,
①若
,求
在
上的投影向量;
②若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9105200dcfb31b0f7f6f0b385f12589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419bec2bb15ceb95999eaee4a451d84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2797d3cbf5718e2cab76af3b53679f86.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbc63c370b769fbafc6e193a1f61df2.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe336601a7861afeb7796c737cb8f45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45eac6e59bd3c4fe72d3254a9dbb927c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbaeae7045ad94158cdf5ae97073bc17.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd873c768b105640a16c953cea6f0c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27964e6ff5ccfcff357caecd01d22997.png)
更新时间:2024-05-19 08:27:23
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相似题推荐
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】如图,在边长为1的菱形
中,
,E是线段
上一点,且满足
,设
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b54aa2b7f9adf409f0ce8e00615432.png)
![](https://img.xkw.com/dksih/QBM/2022/9/17/3068307350757376/3070529910300672/STEM/8df14857b8f1408986447779a4114673.png?resizew=242)
(1)用
表示
.
(2)在线段
上是否存在一点
满足
?若存在,确定点
的位置,并求
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5528b4507ea0b52097e806d0e71e8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b54aa2b7f9adf409f0ce8e00615432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://img.xkw.com/dksih/QBM/2022/9/17/3068307350757376/3070529910300672/STEM/8df14857b8f1408986447779a4114673.png?resizew=242)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fc81977aee721525b4c5625f5a097.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187ed13a7bd532bd39af5e5ad7493a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f8340f920decb68b1c4a1fa99488c8.png)
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解题方法
【推荐2】如图,在
中,
,
,
,M为
的中点,试用
表示向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1887a1513aee097a396e99d7399c4e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3afb528b6095c9db39b8aa899a33427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4742e684517fcf7d42f0d561298b9126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7c19ffd67b5edd77b02d893f3c4156.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/9c9dea54-cb83-4a28-8243-d8700eda0cf8.png?resizew=184)
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【推荐3】如图,在平行四边形
中,
,
,
,
,
与
夹角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/9f341b17-57b0-4954-8ee0-843b7d576366.png?resizew=146)
(1)
,求
、
的值;
(2)求
的值;
(3)求
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd1d71d5b784194a6594ff29d48a1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c059a5b58039e3100510a1b48ba8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1589950d71d9714a7a38ad7a31bec7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13e1ba05fc9190170a07bfdcdd269a4.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/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/9f341b17-57b0-4954-8ee0-843b7d576366.png?resizew=146)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c9f2a0ef9af38989aba64cd6dd6e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b3dff6522c24a955ea87891d2a7b25.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781e3daa2c4e018ca0ae09bb56abc0f.png)
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【推荐1】
的内角
所对的边分别为
,已知
.
(1)若
,求
;
(2)设
为
边的中点,
,求
的面积.
![](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/dfcb3010f8710f1f8f24fa9015c7bd88.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad22523bf8180bf2a00c0dd249efd8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6e32f92a8678ae3a617c6f54e45037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
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【推荐2】已知平面向量
,
满足
,
,
,
的夹角为
.
(1)求
;
(2)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/9722f8a42160ce6b768c05e2e1aaeaab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8094d449d3254841c7d0eb13827a61a3.png)
![](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/79a97bb4dcfab4ec7539bc783d563c49.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85037a7822cd9642d0c08ca29d61b259.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9212a2226f3154927b0a145548f4f07.png)
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【推荐3】已知
,
,
.
(1)求
与
的夹角
;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117242088f98b0bb5f5d233ee6a16532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af47e3eae256be04a65a84d6452c678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c2e25f86c2c2acf836a49601f5e396.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f7dfae4bdc13f1694a2a01478a1e69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
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解题方法
【推荐1】已知向量
.
(1)若
,求
的值;
(2)若
在
上的投影向量的模为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f70caf57f393c64f2acff0353cf51b8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bf0da4a34581b18064641bcc6d32f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](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/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】平面内给定三个向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3536c94ed9e9f7a442ed1b8cbac6ecd3.png)
(1)求满足
的实数
的值;
(2)若
,求实数
的值;
(3)求向量
在向量
上的投影向量的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3536c94ed9e9f7a442ed1b8cbac6ecd3.png)
(1)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36992278e19af2a1bc4fce331c9e20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5287b7fce93385e6f3bc31a30d0a8410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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