名校
1 . 已知点
,
(
),试求当点
在第三象限时,
的取值范围________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1845a60deb152288cfbb8e27e6c15096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb4e120649a22ab69f0735bb13baf5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd9736828195f010db4e1f0a9dea7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2021-10-19更新
|
898次组卷
|
5卷引用:山西省陵川高级实验中学2021-2022年高二上学期开学考试数学试题
山西省陵川高级实验中学2021-2022年高二上学期开学考试数学试题苏教版(2019) 必修第二册 一课一练 第9章 平面向量 单元检测(已下线)6.3.2+6.3.3+6.3.4平面向量的正交分解及坐标表示 【第一练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)9.3 向量基本定理及坐标表示1-【帮课堂】(苏教版2019必修第二册)山东省威海市第一中学2023-2024学年高一下学期4月月考数学试题
名校
解题方法
2 . 如图在直角梯形
中,
为
中点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2893c1475f79956368bbd0cd4c09bd6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759dd7ebd25163c83be3c861a8071522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/2020/9/9/2545910142607360/2549094713057280/STEM/79c7c64f97b74e16be52e753b7f56233.png?resizew=130)
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2020-09-13更新
|
910次组卷
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3卷引用:天津市第二中学2020-2021学年高二上学期开学考试数学试题
天津市第二中学2020-2021学年高二上学期开学考试数学试题(已下线)专题6.5 《平面向量》单元测试卷-2021年新高考数学一轮复习学与练天津市南开大学附属中学2021-2022学年高三上学期第一次月考数学试题
解题方法
3 . 已知
,
,
,若
,则
与
的夹角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8971218da25b50b02c3c1162bc2cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b82c039297f51753f7a9e194307b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd934cfaccbbd2bef28acb7ca60d60cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775f29addbc3b964eecf1ed0f954c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
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名校
解题方法
4 . 赵爽是我国古代数学家大约在公元222年,他为《周髀算经》一书作序时,介绍了“勾股圆方图”,亦称“赵爽弦图”(以弦为边长得到的正方形由4个全等的直角三角形再加上中间的一个小正方形组成)类比“赵爽弦图”,可构造如图所示的图形,它是由3个全等的三角形与中间一个小等边三角形拼成的一个较大的等边三角形,设
,若
,则可以推出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592c6fdbe79a05318d5b1ef7610ecada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905f4cbe939c528692f367fe34333216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
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2020-03-17更新
|
1630次组卷
|
11卷引用:山西省太原市2020届高三上学期期末数学(文)试题
山西省太原市2020届高三上学期期末数学(文)试题(已下线)第四篇数学文化02-2020年高考数学二轮复习选填题专项测试(文理通用)山西省太原市2019-2020学年高三上学期期末数学(理)试题江苏省无锡市梅村高级中学2020-2021学年高一下学期第一次月考数学试题重庆市渝东六校共同体2021-2022学年高一下学期期中数学试题2022届高三下学期“最后一卷”系列联考(新高考Ⅰ卷)数学试题沪教版(2020) 必修第二册 新课改一课一练 第8章 8.4.2向量的应用(2)江苏省南京市第一中学实验学校2022-2023学年高一下学期期中数学试题云南省临沧市临翔区第一中学2022-2023学年高一下学期5月月考数学试题(已下线)第一次月考填空题压轴题十四大题型专练-举一反三系列四川省南充高级中学2023-2024学年高一下学期第二次月考(5月)数学试卷
5 . 若
是一个基底,向量
,则称
为向量
在基底
下的坐标.现已知
,
,
,
,向量
在基底
下的坐标为
,则
在基底
下的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9768abca6d7080cff32891c070609645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7feda92151f1f0546d26b92817b3060b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9768abca6d7080cff32891c070609645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83e24443f064a9feb68e39f4f8bff11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ee1aad444c87a6906493e73ee43542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074cdf889b9eee5aebd99fab5e84f4f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee7a3e6bfc638103da1251ca6f93651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3d882dda3623d59c6e0831436171e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bd3b8b5d8092f27bbad201c6e443e3.png)
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2020-03-01更新
|
503次组卷
|
3卷引用:人教A版(2019) 必修第二册 突围者 第六章 易错疑难集训(二)
人教A版(2019) 必修第二册 突围者 第六章 易错疑难集训(二)人教B版(2019) 必修第二册 北京名校同步练习册 第六章 平面向量初步 本章测试题(已下线)专题4-1向量性质与基本定理应用-2
解题方法
6 . 向量
,
,
在正方形网格(每个小正方形的边长为1)中的位置如图所示,若向量
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee4b5aa7e9133e4ca383b2e7d7fad5c.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/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a202857500b73bfc9db59b990363d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee4b5aa7e9133e4ca383b2e7d7fad5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/ac9ed7d6-695f-417a-ac5e-2142502d889b.png?resizew=129)
您最近一年使用:0次
名校
7 . 已知
,
,若
,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8535c7c9560e12bf06101d4d1611d25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ee916980fba7194cc379725b5a6d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2939f1231ae6f424f1a68fa1671d679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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2018·上海浦东新·三模
名校
8 . 已知
中,
,
,
,
是
内一点,使得
.设
垂直
于
,
垂直
于
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50780be4130aea7e3620d83b5617d28.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4cec8a7b87c2bc9fb135eadb7aa5c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aab4cfa0cd968f789adea302e998f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50780be4130aea7e3620d83b5617d28.png)
您最近一年使用:0次
解题方法
9 . 如图,
,
与
的夹角为
,
与
的夹角为
,
,用
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33ea51034817965cafd012776dceddb.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbabeab7e7d0e4bcd21a188362b5b9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bddced701925bd33de4ab86ecd83d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33ea51034817965cafd012776dceddb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/7226dbc0-cc98-464f-ac9d-dc83ce7ce1f1.png?resizew=169)
您最近一年使用:0次
名校
10 . 如图,两块斜边长相等的直角三角板拼在一起,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ffc947b8394dc01a675d05b3d4fe84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/1f61b441-0d08-41a5-af11-840c040ff750.png?resizew=203)
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