12-13高一下·云南·期中
名校
解题方法
1 . 若
,
,
与
的夹角为
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9afc7bfbc67ff08ae5380508d9ca746.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c358e334068fa6c488cca92988a26de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af2086fecd8ba4f001975cd262cdcf2.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/8da24e47dd25563c1d9e6065faa65991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9afc7bfbc67ff08ae5380508d9ca746.png)
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2022-03-06更新
|
433次组卷
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7卷引用:陕西省2021届高三下学期教学质量检测(二)文科数学试题
陕西省2021届高三下学期教学质量检测(二)文科数学试题(已下线)2012-2013学年云南省滇池中学高一下学期期中考试数学试卷(已下线)2013-2014学年河北省衡水市第十四中学高一下学期期末考试数学试卷湖南省常德市2018-2019学年高一下学期期中数学试题甘肃省民乐县第一中学2021届高三押题卷(二)数学(文)试题天津市红桥区2019-2020学年高二下学期学业水平模拟数学试题新疆霍尔果斯市某校2021-2022学年高一下学期第一次月考数学试题
名校
解题方法
2 . 如图,网格纸上小正方形的边长为1.从
,
,
,
四点中任取两个点作为向量
的始点和终点,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
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2023-06-25更新
|
211次组卷
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6卷引用:陕西省咸阳市武功县普集高级中学2023届高三6月九模理科数学试题
陕西省咸阳市武功县普集高级中学2023届高三6月九模理科数学试题陕西省咸阳市武功县普集高级中学2023届高三下学期九模文科数学试题(已下线)模块一 专题1 向量数量积的范围问题(已下线)模块一 专题1 向量数量积的范围问题(高一人教B)(已下线)高考试题探源与扩展系类 专题9 探究范围 化变为定(已下线)模块二 专题3 平面向量的数量积的范围(最值)问题(高一下人教B版)
名校
3 . 若
为边长为
等边三角形,动点
满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434c66452b00f42ddd98fb00699aa43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811f2b0933367b7cb32a7696510f2089.png)
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解题方法
4 . 已知平面向量
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c336038e27180fa3d2b670b5b89f827f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d9718d427508c52d856b6b36caf3dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c336038e27180fa3d2b670b5b89f827f.png)
您最近一年使用:0次
解题方法
5 . 在2022年2月4日举行的北京冬奥会开幕式上,贯穿全场的雪花元素为观众带来了一场视觉盛宴,象征各国、各地区代表团的“”汇聚成一朵代表全人类“一起走向未来”的“大雪花”的意境惊艳了全世界(如图①),顺次连接图中各顶点可近似得到正六边形
(如图②).已知正六边形的边长为1,点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9762eba04f6130384fee12f31bf0d5c.png)
______ .
小雪花
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb943feaba6a635b4d4fb393f8de0cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9762eba04f6130384fee12f31bf0d5c.png)
小雪花
![](https://img.xkw.com/dksih/QBM/2022/7/14/3022350281261056/3027304778268672/STEM/1f4ea6045b7e42be97f3128105eed7ca.png?resizew=253)
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2022-07-21更新
|
353次组卷
|
2卷引用:陕西省安康市汉滨区五里高级中学2022-2023学年高一下学期期中数学试题
名校
解题方法
6 . 已知平面向量
满足
,
与
的夹角为
,则
的值______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3f8682540cd84c62e6fa835cd02f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1304fa733fc95b05aef3e6aa88d50fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00212b47f47f073833c3001b3463ac7.png)
您最近一年使用:0次
解题方法
7 . 若
,
,
与
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c6d6e2d4b81eb241aaf83ead6c35aa.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7640cd9ee9868eb9aceba6dfb04aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea8e7ad7934485d56e2743a09395844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75372224713240b738e79e1bc4e8e97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3113f87863c0ba1b5253e44d09c4b230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c6d6e2d4b81eb241aaf83ead6c35aa.png)
您最近一年使用:0次
解题方法
8 . 如图,矩形
中,
,
,
与
交于点
,过点
作
,垂足为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6256ff0607677bfb13a9814c7ae9408.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4746df85049d1651d3f6c30212a7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6256ff0607677bfb13a9814c7ae9408.png)
![](https://img.xkw.com/dksih/QBM/2022/1/9/2890809989570560/2947449349201920/STEM/21b82157390b4f0f8be44491601dd0a1.png?resizew=175)
您最近一年使用:0次
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9 . 已知向量
,
满足
,
,若
与
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2766d826f2c959acffaec2378264e63.png)
__________ .
![](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/8febc305ff560626bdb55735a5085128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2766d826f2c959acffaec2378264e63.png)
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2021-01-09更新
|
481次组卷
|
5卷引用:陕西省西安市长安区第一中学2020-2021学年高一上学期期末数学试题
名校
解题方法
10 . 已知平面向量
,
满足
,
,
与
的夹角为60°,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
______ .
![](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/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](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/ba3c6bd21d9c27a68b970f446f04d6df.png)
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2022-12-06更新
|
345次组卷
|
2卷引用:陕西省榆林市神木中学2021-2022学年高三上学期第一次测试文科数学试题