1 . 如图所示,在平行四边形
中,
为
的中点,
为
靠近
的三等分点,求证:
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7208dc83c7802ac8587b1d41daa28a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89b83073eb132190d43a4b49733038c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/f65bf75c-7430-430f-bd9d-8bb464049b71.png?resizew=174)
您最近一年使用:0次
2019-10-09更新
|
1288次组卷
|
2卷引用:人教A版 必杀技 第二章 平面向量 2.3.1平面向量基本定理
2 . 已知向量
,其中
不共线,则
与
的关系为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b685170f7fff34c549d9dbb3542c121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2390f096eb52a392095249fbdcb68015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
A.不共线 | B.共线 | C.相等 | D.无法确定 |
您最近一年使用:0次
名校
3 . 已知两个非零向量
不共线,
.
(1)证明:
三点共线;
(2)试确定实数
,使
与
共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d184ae171c511d3ab7eebb7dbb4eae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f773b5ebfaf2c5c6624a323f7e4a99.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1378530dfec264f4bf99a179826dc957.png)
(2)试确定实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea1f268299d57e5362182760a5961af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f200069e313c5863a4efab246fd347a.png)
您最近一年使用:0次
2019-10-09更新
|
949次组卷
|
3卷引用:人教A版 必杀技 第二章 平面向量 第2.2节综合训练
名校
4 . 已知
为等差数列
的前
项和,
,
,
三点在直线
上,且点O不在
上,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e007da612228d1d03ca93c3c432c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
您最近一年使用:0次
名校
5 . 如图,
为
内一点,且
,延长
交
于点
,若
,则实数
的值为_______ .
![](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/56522166ed4c6cbb47750ac7bd5e7626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bbfdd1c9a3cee4c840122ec93027a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/36e0343c-19d5-4a70-9ebc-6e2de7cba2ed.png?resizew=130)
您最近一年使用:0次
2019-08-23更新
|
2181次组卷
|
3卷引用:上海市曹杨二中2018-2019学年高一下期末数学试题
上海市曹杨二中2018-2019学年高一下期末数学试题山东省济宁市嘉祥县第一中学2019-2020学年高一6月月考数学试题(已下线)上海期末真题精选50题(小题提升版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
6 . 空间四点
共面但不共线,那么这四点中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085f1c56b0b8feedc729a5bb42f24707.png)
A.必有三点共线 | B.必有三点不共线 |
C.至少有三点共线 | D.不可能有三点共线 |
您最近一年使用:0次
7 . 在任意平面四边形ABCD中,点E,F分别在线段AD,BC上,
,给出下列四组等式
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fffb6f711f56239dfcf6c40a333b79.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a4639004a5b251680979269cc1d87f.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a4639004a5b251680979269cc1d87f.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a4639004a5b251680979269cc1d87f.png)
其中,能使
,
为常数的组数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47398ed88c5c434a0fbda161c2512ed9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f33134854d704b11098384d42bbdbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fffb6f711f56239dfcf6c40a333b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08c71c23bbccb29cb90ebd2c5a6bbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a4639004a5b251680979269cc1d87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8ed522c4036f1f1a1995dde00d1a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a4639004a5b251680979269cc1d87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca745bcf9550dc91952e3d80782969f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a4639004a5b251680979269cc1d87f.png)
其中,能使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
名校
8 . 如图所示,平面内有三个向量
,其中
与
的夹角为
,
与
的夹角为
,且
,若
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/0393506b-69a4-445b-9e64-4e28ce178210.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4bcfb9c6d9303d2f23746002b0d6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee918684b74bfb93fb3a6df219d80ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5327c4d356f2f695f86b6ea3a91967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c31a46b9780b063b83f65d68e4671b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee918684b74bfb93fb3a6df219d80ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ea2cd41d71c5721779a2fa9190727e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a0eb6045369a13358f2d5999f7bc3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bfa22ea7d7d35ceebcef8855d4cba60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0bfa141aa83704f6df719185b8c8dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd4dab183a8aa97024dba9f7072783b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/0393506b-69a4-445b-9e64-4e28ce178210.png?resizew=175)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2019-03-13更新
|
1669次组卷
|
10卷引用:【市级联考】江苏省淮安市2018-2019学年高一(上)期末数学试题
【市级联考】江苏省淮安市2018-2019学年高一(上)期末数学试题【全国百强校】四川省南充市阆中中学2018-2019学年高一3月月考数学试题(已下线)专题5.1 平面向量的概念及其线性运算(精练)-2021届高考数学(理)一轮复习讲练测(已下线)第17练 平面向量的基本定理及坐标表示-2021年高考数学(文)一轮复习小题必刷(已下线)第18练 平面向量的基本定理及坐标表示-2021年高考数学(理)一轮复习小题必刷四川省德阳市2022届高三第二次质量监测考试文科数学试题广东省茂名市电白区水东中学2021-2022学年高一下学期3月月考数学试题四川省德阳市2022届高三质量监测考试(二)数学(理)试题(已下线)秘籍04 平面向量与复数-备战2022年高考数学抢分秘籍(新高考专用)广东省佛山市顺德区罗定邦中学2021-2022学年高一下学期期中质量检测数学试题
名校
9 . 在空间直角坐标系
中,若三点
5,
,
4,
,
3,
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c972205b7d47a23c250f3234f487c845.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83924aeb1c6b343a47778a5fd28bb4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1cd6f064d1df01689dad781774a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ee261de28cac31e8289125bf3fbde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d5405b70d744988f266d474431b0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0754b2c5ece72f3f64f156c6a5cb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f4cfcd7f65bdc96b8bdcd0a555a135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fe96a4e882eaa1d914362c264b2aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c972205b7d47a23c250f3234f487c845.png)
您最近一年使用:0次
2019-03-07更新
|
605次组卷
|
3卷引用:【市级联考】江苏省常州市2018-2019学年高二第一学期教育学会学生学业水平监测期末统考数学试题
【市级联考】江苏省常州市2018-2019学年高二第一学期教育学会学生学业水平监测期末统考数学试题湖南省邵阳市武冈第二中学2019-2020学年高二下学期期末数学试题(已下线)4.3.1 空间直角坐标系-2020-2021学年高一数学课时同步练(人教A版必修2)
2019高三·全国·专题练习
名校
10 . 已知点P是四边形ABCD所在平面内的一点,若
=(1+λ)
-λ
,其中λ∈R,则点P一定在 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4f1494b9737998e592deec5361bcd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b447225c003f775dc8435ab59a3629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ae766cfed88a736aebfd4dacdbee22.png)
A.AB边所在的直线上 |
B.BC边所在的直线上 |
C.BD边所在的直线上 |
D.四边形ABCD的内部 |
您最近一年使用:0次