名校
解题方法
1 . 记所有非零向量构成的集合为
,对于
,定义
,
(1)若
,求出集合
中的三个元素;
(2)若
,其中
,求证:一定存在实数
,且
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57728ab9b425c557749e1e355180d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b74229b8d0821487a16acc12cf5d9c8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5d475b1ac3d3ec178dde5db6c2af13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5af2f2a585879dfdc7ed8fb6b313786.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0c7f0e924b95ac24dcf42356b9fd00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3712b535577f7cd195aeb660e05b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d491ca1d69c14de489ec68aa280c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a85ea4968343b0d94ed2fe01b535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a279883ac21fc291cb8d27de2a63c1.png)
您最近一年使用:0次
2023-11-07更新
|
494次组卷
|
11卷引用:北京市清华大学附属中学奥森分校2023-2024学年高二上学期期中考试数学试题
北京市清华大学附属中学奥森分校2023-2024学年高二上学期期中考试数学试题(已下线)模块一 专题1 《平面向量的概念与运算》(人教A2019版)B【练】(已下线)模块二 专题1 平面向量相关概念的易混易错问题(已下线)模块三 专题2 专题1 平面向量运算(已下线)模块一 专题1《平面向量的概念与运算》单元检测篇B提升卷(苏教版高一)(已下线)模块二 专题1 平面向量相关概念的易混易错问题(苏教版)(已下线)模块三 专题2 解答题分类练 专题1 平面向量运算(解答题)(苏教版)(已下线)模块二 专题3 平面向量相关概念的易混易错问题(北师大版)(已下线)模块三 专题2 解答题分类练 专题3 平面向量各类运算(解答题)(已下线)模块一 专题3《平面向量的概念与运算》单元检测篇B提升卷(北师大版高一期中)(已下线)第9章 平面向量 单元综合检测(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)
名校
解题方法
2 . 双曲线
的左、右焦点分别为F1,F2,直线l过F1与C的左支和右支分别交于A,B两点,
是等边三角形,若x轴上存在点Q且满足
,则C的离心率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b9425a4639509c2954f8a9bd705ca6.png)
您最近一年使用:0次
2021-10-30更新
|
2916次组卷
|
5卷引用:江西省南昌市八一中学、洪都中学等4校2021-2022学年高二上学期期中联考数学(理)试题
江西省南昌市八一中学、洪都中学等4校2021-2022学年高二上学期期中联考数学(理)试题云南省师范大学附属中学2022届高三高考适应性月考卷(四)数学(文)试题(已下线)考向41 双曲线福建省厦门市第一中学2022届高三12月月考数学试题(已下线)数学-2022届高三下学期开学摸底考试卷B(理科)(新课标专用)
名校
3 . 已知两个不相等的非零向量
与
,两组向量
,
,
,
,
和
,
,
,
,
均有2个
和3个
按照某种顺序排成一列所构成,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef38f064d936d3972370b4a9a0886c58.png)
,且
表示
所有可能取值中的最小值,有以下结论:①有5个不同的值;②若
,则
与
无关;③ 若
∥
,则
与
无关;④ 若
,则
;⑤若
,且
,则
与
的夹角为
;正确的结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c902afad9e376e9f150aa952b7ded9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412a97cab551338c7214860266e9bb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24fb1649edf0c98a43aaf4b439744cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5e0efd6d6e4561277a8a1291ae4c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78637117e4976e53f02d39d19e48a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa620e1fff07c3742316c096bed4030e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d39b8fa85a329079fa0b83d8c808d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501dcc1b867b3deaaa229fd9fb0d8b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a357a6de00f47f97888ef514306384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b82b5000cb864de87c9bef53306a3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef38f064d936d3972370b4a9a0886c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7578198b4d50376885e4e5632b32c109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc39a21d03ee7ba9ad05aeb1958fbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb58883caf5c8ca1e94389839d294b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc39a21d03ee7ba9ad05aeb1958fbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d18fee3af07e00ebe0633086835e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc39a21d03ee7ba9ad05aeb1958fbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd3218ac3ae2137649597508f87187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0107fb1dea0d998e9dcf465b7f38e2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d1c3970ec37a525d1405dc6d3b2126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8722b5f981ecebf0e9b6360f1e1b7895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6df4631f1b008a9a0cb8b0196add8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
A.①②④ | B.②④ | C.②③ | D.①⑤ |
您最近一年使用:0次
2019-11-20更新
|
715次组卷
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3卷引用:上海市第二中学2019-2020学年高二上学期期中数学试题