12-13高一下·湖南长沙·阶段练习
1 . 已知
,
,
,若
,
,
、
,则向量
的模为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151238849e857a9907519ad0c3a66f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b4480c2f29ee14e580bc72423d5a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e1d2ff56f062960f9ee1903d80527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89879d3524590fe7d253b6e3086de649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d3d1f973b30659cb47019d554825ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7925afb2e2e0d47ab9e109bdf94fd7bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7c19ffd67b5edd77b02d893f3c4156.png)
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2019-10-09更新
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992次组卷
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5卷引用:2012-2013学年湖南省浏阳一中高一4月段考数学试卷
2 . 如图所示,在平面直角坐标系中,
,则点D的坐标为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbc2e9de3938f68f66d88bed6387db.png)
![](https://img.xkw.com/dksih/QBM/2020/10/15/2571744392626176/2572866943131648/STEM/66bfef587e594b9aa2869f82085cc631.png?resizew=215)
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2020-10-17更新
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733次组卷
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4卷引用:湖南师大附中2020-2021学年高三上学期10月第二次月考数学试题
湖南师大附中2020-2021学年高三上学期10月第二次月考数学试题湖南师大附中2021届高三(上)月考数学试题(二)湖南师范大学附属中学2020-2021学年高三上学期第二次月考数学试题(已下线)专题6.3+平面向量的基本定理及坐标表示(A卷基础篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教A版,浙江专用)
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3 . 设
,向量
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a4a010a31650b7a97a2ef7ff43e27e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f23f336ce8fa8a1fd7fb03e5aac59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a4a010a31650b7a97a2ef7ff43e27e.png)
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2021-12-09更新
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484次组卷
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5卷引用:2020届湖南省长沙市一中高三月考试卷(四)数学理科试题
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4 . 平面直角坐标系中,从点
出发,依次按向量
移动,则终点坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53ec0d44762ea9d4819de78453f054a.png)
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5 . 已知向量
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1219c027576471e5960fe9841dba70a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36388f576c5a8aca05d461dd8ca3160b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-12-27更新
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644次组卷
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10卷引用:湖南省联合体2020-2021学年高三上学期12月联考数学试题
湖南省联合体2020-2021学年高三上学期12月联考数学试题陕西省2020-2021学年高三上学期12月联考文科数学试题陕西省2020-2021学年高三上学期12月联考理科数学试题湖南省岳阳市第一中学2020-2021学年高二上学期第三次质量检测(期末)数学试题江苏省南通市重点中学2021-2022学年高三上学期9月强基测试数学试题山东省淄博市淄博实验中学2021-2022学年高三上学期9月月考数学试题贵州省贵阳市、黔东南州部分重点高中2021届高三年级联合考试数学(理科)试题辽宁省辽阳市2020-2021学年高三上学期期末数学试题重庆实验外国语学校2021届高三下学期开学考试数学试题福建省三明第一中学2022届高三上学期学段考数学试题
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6 . 在三角形
中,点
满足
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1ee7de26b4f431f7a6bee46fb9ff17.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7459c2c981b964e823331834366c7b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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2017-03-09更新
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1384次组卷
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3卷引用:湖南省长沙市雷锋学校2020-2021学年高一下学期第一次月考数学试题
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7 . 如图,在正方形
中,
为
的中点,
为以
为圆心,
为半径的圆弧上的任意一点,设向量
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8d343a1227699125edb481c6e16051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d287e7f86a20acfbd1254b412352cdf.png)
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864548309827584/2868743089807360/STEM/fab346fb1a85464a8bd072b0ca2a6ee5.png?resizew=142)
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8 . 若等边三角形
的边长为1,点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32462f685492db1cd21e30b8f21578b3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdae2f4db4d45acd0ade29001745e69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32462f685492db1cd21e30b8f21578b3.png)
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9 . 已知向量
,
,
,若向量
与
共线,则向量
在向量
方向上的投影为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc50c774a231d3adea9e7a843c81a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252c8b84033aef7b05b220257d09f67a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5602d2b71ae324bfeaf5df3d87fae31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e07c25df57a36d4f1b11d7d9fe16b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
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2018-06-14更新
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1255次组卷
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5卷引用:湖南省长沙市第一中学2018-2019学年高三下学期第七次月考数学(文)试题
10 . 已知
,
,
,且
,则点
的坐标为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c84818cfbd9a885081cb4e3294eabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee07d86765c4fb74ac647742f16bd57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f8edea2e5d4e08cf6210d0e9f3fdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f6fb042f22ad91616b9f85fd39a8e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
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