1 . 若等边
的边长为2,平面内一点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.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/f6fb287f2d032568f738d6b5b9ed5db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
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解题方法
2 . 如图,正方形
中,
为
的中点,若
,则
的值为__________ .
![](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/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d97483494e3502ce77a1177ff831822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://img.xkw.com/dksih/QBM/2017/12/28/1848030234943488/1851627171635200/STEM/5c576a485faa40edbbe48e1b61b1ef7c.png?resizew=160)
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2018-01-02更新
|
1119次组卷
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7卷引用:北京东城北京一中2017届高三上学期期中考试数学(理)试题
名校
解题方法
3 . 已知圆心为
,半径为1的圆上有不同的三个点
,其中
,存在实数
满足
,则实数
的关系为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19468abe1aa4e99874d13b8359ec7332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec6fb9e0625b85be3103d317fbb0cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805da6e1832b3c962632d2bf2a198d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec6fb9e0625b85be3103d317fbb0cca.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-12-11更新
|
740次组卷
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5卷引用:湖南省浏阳一中、株洲二中等湘东五校2018届高三12月联考数学(文)试题
2016高一·全国·课后作业
名校
4 . 如图,在矩形中,点
是
边上的中点,点
在边
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/e8399825-2857-45de-8a51-2595a86dbc0e.png?resizew=120)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf7d609b847747bf24e2e99f17d0b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f60113a7e896db70bbaf361521d3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddafe7120c5cc785faa46825d47a6402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
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2017-11-27更新
|
1219次组卷
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11卷引用:同步君人教A版必修4第二章2.5.1平面几何中的向量方法
(已下线)同步君人教A版必修4第二章2.5.1平面几何中的向量方法河南省周口市2016-2017学年高一下学期期末考试数学试题【全国百强校】安徽省合肥市第一六八中学2017-2018学年高一上学期期末考试数学试题江西省南昌市南昌县莲塘第一中学2019-2020学年高一上学期期末数学(文)试题江西省南昌市南昌县莲塘第一中学2019-2020学年高一上学期期末数学(理)试题人教A版 全能练习 必修4 第二章 第四节 2.4.1 平面向量数量积的物理背景及其含义江西省宜春市上高县第二中学2019-2020学年高一下学期期末考试数学(文科)试题江西省宜春市上高县第二中学2019-2020学年高一下学期期末考试数学(理)试题湖北省荆州市五县市区2016-2017学年高一上学期期末数学(理)试题2016-2017学年湖北省荆州市高一上学期期末考试数学(文)试卷江苏省泰州市兴化市文正高级中学有限公司2023-2024学年高一下学期第一次月度检测(3月)数学试题
名校
解题方法
5 . 如右图
,“六芒星”是由两个全等正三角形组成,中心重合于点
且三组对边分别平行.点
,
是“六芒星”(如图1)的两个顶点,动点
在“六芒星”上(内部以及边界),若
, 则
的取值范围
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/e06023f4-3db3-4769-b44f-1cf7ee1fb7b8.png?resizew=324)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d093706141016f4e2fde905738cd481e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/e06023f4-3db3-4769-b44f-1cf7ee1fb7b8.png?resizew=324)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-10-28更新
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934次组卷
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8卷引用:福建省泉州市2017届高三高考考前适应性模拟(二)理数试题
解题方法
6 . 已知△ABC的三个顶点A、B、C及平面内一点P满足
,若实数λ满足:
,则λ的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8da1c45a993e5549f3d18a0dd79713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1beda5f5533576e40faddee10e199899.png)
A.2 | B.![]() | C.3 | D.6 |
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解题方法
7 . 已知
是
的边
上的中点,记
,则向量
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a952093b90bd84c62633e9cff556fdb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e74e57f2b354a7e5f3facbb9ac54aae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 在平行四边形
中,
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04dd5d8c9e84422de36535e0f5dd676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ead0d95d94c4650f8030f18e5d58b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-08-17更新
|
1120次组卷
|
2卷引用:四川省巴中市2016-2017学年高一下学期期末理数试题
名校
9 . 如图所示,下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/20/4fc80449-eedc-4f5f-bcbf-4a0a202e93fb.png?resizew=234)
①
;②
;③
; ④
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/20/4fc80449-eedc-4f5f-bcbf-4a0a202e93fb.png?resizew=234)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe51104fd1806bad125e408944759cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fec2e214a625a555330bc04f9a1aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941319165105c25e61c0dc5bf69634da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2d0d0a6427ab58ee96ce85d77279b6.png)
A.①② | B.③④ | C.①③ | D.②④ |
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解题方法
10 . 已知
、
是两个不共线向量,设
,
,
,若
、
、
三点共线,则实数
的值等于( )
![](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/91a9cb32a25c2a8bb99f75633b4cd5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece7ff6a365f1489165649106b9a1010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5552a58649a8722a5a5c9d611a305f45.png)
![](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/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-07-21更新
|
776次组卷
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2卷引用:浙江省9+1高中联盟2016-2017学年高一下学期期中联考数学试题