1 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e4d2bcf4cdaab2a07ddf3640bb7ffa.png)
______ ,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffe36d006471d0a3abcc0e75629cb4e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0d9bdd8cd1ba585984dcca5824df8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8965a667f5920d3b92f9c181664bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c444a4c30a8e27163c8323be7cf0d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e4d2bcf4cdaab2a07ddf3640bb7ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e96d40c30f1282db42520501cf54e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffe36d006471d0a3abcc0e75629cb4e.png)
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2 . 在
中,角
所对的边
,点
为边
上的中点,已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f76e37d6e6b182896ccaaa187cfe07.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f76e37d6e6b182896ccaaa187cfe07.png)
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名校
解题方法
3 . 已知
,
,若
,则实数
的值是_____ ;若
与
的夹角为锐角,则实数
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8422176d6f6f3596df30f8d187b94477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ab5f93cd89ae2800ce9be4010c1942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a683d9cd5f84e07bc351819d9dd96df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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4 . 已知向量
=(1,2),
=(
,-1).若
∥
,则
=______ ;若
⊥
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f242f038195884ef098a99a274a1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8180b8bff14f910f20874efe8e2e8e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3854a1870df3dfab871bb1b15d41cb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb58883caf5c8ca1e94389839d294b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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6 . 如图,在
中,
为线段
上的一点,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ed6bee57f4526320197d6a7474386f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d093706141016f4e2fde905738cd481e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25066179e272d7a37bfb86f34b441caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
![](https://img.xkw.com/dksih/QBM/2018/4/30/1935073531002880/1936465989017600/STEM/336b5779-8877-4e8f-a36c-b50d89b37216.png?resizew=205)
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7 . 在平行四边形ABCD中,
,
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e4d2bcf4cdaab2a07ddf3640bb7ffa.png)
_______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6898d181faf9e6cc9957f3102f8d3d73.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfa9415b1c3c5b225f93e5c064f8091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9e6b43dd3c986fa138747052927dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6f105e4f0567ebbea6b266eff68013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5a25fbd90c86c2297a6694b6460c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7da83854fc48217f25a473985fb75b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e4d2bcf4cdaab2a07ddf3640bb7ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6898d181faf9e6cc9957f3102f8d3d73.png)
您最近一年使用:0次
2018-04-28更新
|
833次组卷
|
3卷引用:【全国市级联考】浙江省杭州地区2017学年高一 第二学期期中六校联考数学试题
8 . 如图所示,已知
,由射线
和射线
及线段
构成如图所示的阴影区(不含边界).
![](https://img.xkw.com/dksih/QBM/2018/4/1/1914872329240576/1915972709048320/STEM/3ddd56a500fc426295cc39b7e67dde92.png?resizew=264)
(1)若
为
中点,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b604b5f2b0533db339b3f65cda079c.png)
______ (用
,
表示)
(2)已知下列四个向量:
①
; ②
;
③
; ④
.
对于点
,
,
,
,落在阴影区域内(不含边界)的点有_____ (把所有符合条件点都填
上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2018/4/1/1914872329240576/1915972709048320/STEM/3ddd56a500fc426295cc39b7e67dde92.png?resizew=264)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b604b5f2b0533db339b3f65cda079c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911c0a2ab5e2e85f1ad267f41cb96b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794efd8cf0cc386faa170d01f357b1c5.png)
(2)已知下列四个向量:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5eefdb3b17ec154282eafb5041db8c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26f54a50fb4eccef934ff1460c723dc.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53ea8606991358bf8f0c0513b49e89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cdd0e122aa4dd450d7e53b5eecaa3a3.png)
对于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32efe4eff75508cb93e828c735dcb695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fa71450b470cb7d6464339873d74b8.png)
上)
您最近一年使用:0次
2018-04-03更新
|
1529次组卷
|
4卷引用:2017-2018北京市中国人民大学附属中学高一期末试题
2017-2018北京市中国人民大学附属中学高一期末试题人教B版(2019) 必修第二册 过关斩将 第六章 6.2 综合拔高练(已下线)第六章+平面向量初步(能力提升)-2020-2021学年高一数学单元测试定心卷(人教B版2019必修第二册)苏教版(2019) 必修第二册 过关斩将 第9章 9.2.2 向量的数乘
9 . 已知
,
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ed22420b4575fceec08613eecf0e11.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b931faee548175c7895ac9eeca6fed83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e88d726b4b2e4b54667da2b5851672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6bfd0334dba8e765d0cb7e9aa31847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fa7cbf0088b634eedd38c78b5987f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ed22420b4575fceec08613eecf0e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
2018-02-03更新
|
305次组卷
|
2卷引用:浙江省宁波市2017学年高一统考试数学试题
10 . 如图,四面体
的每条棱长都等于
,点
,
分别为棱
,
的中点,则
=_____ ;
____________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957df3b71b805103fcec455c54679612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad45c509a311d5041025b1d18072a76.png)
![](https://img.xkw.com/dksih/QBM/2017/12/15/1838829584097280/1841645424287744/STEM/dcfa6c81e9e943978a3563e34010844a.png?resizew=153)
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