已知向量
,向量
的夹角的正切值为
,
.
(1)求向量
的模;
(2)若
,求实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f26c7e39b02da460ca20e7f847b0687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecbc8cfcc005c7fecaf8b9b1b108509.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560ee2894ba8c5cee6633430cc8b3b41.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ee59964f020fc52b5ba66a3f5fcc3c.png)
19-20高一下·广西河池·期末 查看更多[4]
广西河池市2019-2020学年高一下学期期末教学质量检测数学试题(已下线)9.3 向量基本定理及坐标表示 2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)(已下线)6.2 平面向量的数量积-2020-2021高中数学新教材配套提升训练(人教A版必修第二册)河北省深州市中学2021-2022学年高一下学期期末数学试题
更新时间:2020-08-12 15:46:03
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【推荐1】已知向量
与
的夹角
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(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b660be471d5dbd000f5e1fcb996371da.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e58f65978001ebd730540d93c058ee7.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07882aa0d4087bd4e551dbfa437e31d.png)
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【推荐2】已知
,
,
与
的夹角是60°,计算:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4244dd3d11b8c8131ffecd896c12a27c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed178d2a2173130c60a67196636acec.png)
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(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2faf1a9813b080bd76a29f6da5b075ba.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8958d5224cc108c1780d10473cab0ff1.png)
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【推荐3】已知向量
与
的夹角
,且
,
.
(1)求
;
(2)求
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(3)
与
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![](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/dcb7ad90cb48b4937e633e9f498b94da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0580f685bd2df3c818b4e63a3f521bd3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021cfda2b81adc33243fffdf203c9ccb.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b195aa36a3c2753ebf08cb464c52ad1e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
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【推荐1】已知
,
与
的夹角为
.
(1)求
与
的值;
(2)x为何值时,
与
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a8ea5cd70716f6e1b1a89288bd592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce70b2d36f45ebb05daf7fb932a10494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c250094127e2b3c878d68213b60407.png)
(2)x为何值时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa93e6d85e37a5dd4cf2e779080c536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f04039292017b48bb2232442e4511c1.png)
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【推荐2】在三角形
中,
是线段
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(1)已知
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与
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef138c53d88b01746e581376437e0a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8e8843cd97ffe27d91852fcd3dab6a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/8/ba5bcef9-1fa6-485d-af92-a4d2139f8056.png?resizew=205)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b26a6a159913073de6ca287d43c76e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba44e4869063eb66dfdf60a3c8f082e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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【推荐1】(1)已知平面向量
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697e82d288df5ac7656340301e636646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9383f034fc1bd7855fb7c72b484c3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
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【推荐2】(1)已知向量
,
,
与
的夹角为
.
①求
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②求
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,
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①若
,求实数k的值;
②若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
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①求
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②求
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(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b3515de9a26c0397039e077f272b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064e862604b5eb032f6093efd5489d2f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c697aa2a4c47572a66516b428c2c6dc.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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解题方法
【推荐3】已知
,
,
.
(1)求
与
的夹角
;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145a7e8f352fab613b773dc6639b508b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b113dc271cf51b3018bd1de14edf73ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b899a300a457c4e209a1a09a352acf.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)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c75a15198f2465863fd46e0794d0bf2.png)
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解答题-证明题
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【推荐1】已知
,
.
(1)求
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a321112ae2829a4783f7e4a1f022183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26b033fdd3536a1cd0768b08334c3f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc23a04cdac6439ea170e799f1c1df5.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7309c5fd52616743ecc5a7b0d55cf72b.png)
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【推荐2】已知向量
与
的夹角为60°,
.
(1)求
的值;
(2)求
为何值时,向量
与
相互垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b9656216369e6cb6f74b9237ad6347.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0035fcdc6a2dfb5836f4dc93dcaf9386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
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【推荐3】已知
、
是非零向量,
, 且
、
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(1)求
与
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(2)求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c116cf6e7a89b553137fa5917954b6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333a4b188bb2214293e5701553efd03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b72494c40e9c7afffd5238fd53e2e3b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab1d2dc2fb2058b05dffd3015138f25.png)
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