名校
1 . 设向量
,
,
.
(1)求
;
(2)若
,
,求
的值;
(3)若
,
,
,求证:A,
,
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a25d09a7e1ee223732e9ed44b6c904f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953ead8cdd659e14790d7f89ffb5ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa7936bb2f265cb53382e2bd5c839b4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84455ce96bb8ec069286945271a1697.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329ee69175e1cebb1b7b534d54392323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa72c594ebe33496fa7b9edf1db5c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fabf836a5eb2105f5a32160b75640c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf2c84fec9a927dbaffaf6ab355fbb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad97bd41cab871da2c561b5a12f8f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2022-01-13更新
|
10360次组卷
|
21卷引用:北京市昌平区2021-2022学年高一上学期期末质量抽测数学试题
北京市昌平区2021-2022学年高一上学期期末质量抽测数学试题北京市清华大学附属中学2021-2022学年高一下学期数学统练(2)试题(已下线)第05讲 平面向量-【寒假自学课】2022年高一数学寒假精品课(苏教版2019必修第二册)(已下线)第6.3讲 平面向量基本定理及坐标表示-2021-2022学年高一数学链接教材精准变式练(人教A版2019必修第二册)(已下线)第九章 平面向量(综合测试卷)-2021-2022学年高一数学10分钟课前预习练(苏教版2019必修第二册)甘肃省金昌市永昌县第一高级中学2021-2022学年高一下学期期中数学试题(已下线)第6章 平面向量及其应用(基础30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(已下线)高一数学下学期期末精选50题(基础版)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)重庆市璧山来凤中学校2023届高三上学期10月月考数学(春招班)试题(已下线)第02讲 平面向量基本定理及坐标表示 (高频考点—精练)(已下线)6.3.4平面向量数乘运算的坐标表示(课件+作业)(已下线)专题强化训练一 平面向量的各类问题精选必刷题-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)辽宁省鞍山市普通高中2022-2023学年高一下学期第一次月考数学(A卷)试题浙江省衢州市乐成寄宿中学2022-2023学年高一下学期第一次月考数学试题湖南省长沙市芙蓉高级中学2022-2023学年高一下学期第一次月考数学试题(已下线)第3讲 平面向量(2) -《考点·题型·密卷》新疆喀什地区泽普县第二中学2022-2023学年高一下学期期末考试数学试题新疆乌鲁木齐市第101中学2023-2024学年高二上学期开学考试数学试题江西省宜春市丰城市东煌学校2023届高三上学期11月期中考试数学试题福建省漳州高新技术产业开发区第二中学2023-2024学年高一下学期教学质量检测数学试卷山东省青岛市即墨区第一中学2023-2024学年高一下学期第一次阶段检测数学试题
解题方法
2 . 已知函数
最小正周期是π.
(1)求
的值;
(2)求证:当
时
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2204c4b459f0c1f95f3f0726b91dc89.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcf9682bff4fd3faeaa6f2d220c8f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4912d614ebe209a92ae8876d127e16fc.png)
您最近一年使用:0次
名校
3 . 已知函数
的定义域为区间D,若对于给定的非零实数m,存在
,使得
,则称函数
在区间D上具有性质
.
(1)判断函数
在区间
上是否具有性质
,并说明理由;
(2)若函数
在区间
上具有性质
,求n的取值范围;
(3)已知函数
的图像是连续不断的曲线,且
,求证:函数
在区间
上具有性质
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2452e9315b65152f13e0b85edab77a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d9459134e886dc7fb76a0221dbadb1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab9894fcb4fc5e7834839cb05f12d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9e245dc2e7774139376973a60f97f6.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9c518d889fe12a5d73ad829bb36e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf5f2b93641d1f16b86d3c1fd398ab7f.png)
您最近一年使用:0次
2021-12-25更新
|
1931次组卷
|
6卷引用:北京市西城区北京师范大学附属实验中学2022-2023学年高一下学期期中考试数学试题
北京市西城区北京师范大学附属实验中学2022-2023学年高一下学期期中考试数学试题上海市嘉定区2022届高三一模数学试题(已下线)热点13 函数的图象与性质-2022年高考数学【热点·重点·难点】专练(全国通用)(已下线)专题06 三角函数(模拟练)-2上海市洋泾中学2022-2023学年高一下学期期中数学试题湖南省株洲市第二中学2024年第四届“同济大学”杯数理化联赛高一数学试题
4 . 已知向量
,其中
,
,
是两两不相等的正整数.记
,
,其分量之间满足递推关系
,
,
,
.
(1)当
时,直接写出向量
;
(2)证明:不存在
,使得
中
;
(3)证明:存在
,当
时,向量
满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3690edfe8204c4a6776c18acc206bad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a5771f2c592b64f54f35ba1e2df0dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4573696c9d436bad5052f796d273300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cfe99a43e763e8b7616dadf5d2b7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081925c84c6e1353901510464d3ce395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03365d0f313dce7f007806516611c66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0147fb842f714d5c1fe11cc40eedb291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e381c79035a408fccf920a3ca03a9424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee88e2b5d6134e86a66002b99f108da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56425280dbabc756415721e0fa948d35.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e2ccac7a4024918a0c8403118c1d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ec7398767db50242be5776465d5eca.png)
(2)证明:不存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ab26f71b50d8026097b91b61a5ea67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081925c84c6e1353901510464d3ce395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a4c3e49f8199ba0887b676a0526c59.png)
(3)证明:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7396c9be8cae1ea179e417eb9f5d1377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac60c43c0643492b502a13b68a66e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081925c84c6e1353901510464d3ce395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff887176bb5127935388fd813bc77ab5.png)
您最近一年使用:0次
解题方法
5 . 已知函数
,函数
,设
.
(1)求证:
是函数
的一个周期;
(2)当
时,求
在区间
上的最大值;
(3)若函数
在区间
上,存在2个零点,求k的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed919d6553aeb0bcf24752031adb53c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e3bf6f191f11d5fdfe872a41b14769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52f1c96ca5331101ea195c079f9781f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e491151109a22b53131ba3203da29837.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
您最近一年使用:0次
2021-10-22更新
|
174次组卷
|
2卷引用:北京市海淀进修实验学校2020-2021学年高二10月月考卷试题
名校
解题方法
6 . 如图,在
中,
,
,
与
相交于点M,设
,
,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/c2602b95-7021-4cf6-9260-7a9cd9d7fc90.png?resizew=207)
(1)试用
,
表示向量
:
(2)在线段
上取一点E,在
上取一点F,使得
过点M,设
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6db75d7769d4866644abb4e46896d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef86ffd2bf72dcfb82b82f839a35e452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732e8008564ec12576ac60e498b28067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e42eacb57037d08cf18946fe8e33bc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/c2602b95-7021-4cf6-9260-7a9cd9d7fc90.png?resizew=207)
(1)试用
![](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/9b6799b234237333b0efa331d98f0374.png)
(2)在线段
![](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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9795568e7c599718a29bc80cc3405233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4fdd03782afd69e06cdd75fb050b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede0971558b2fda47c16acab961f31ae.png)
您最近一年使用:0次
2021-10-16更新
|
807次组卷
|
12卷引用: 第六章平面向量章节检测—2021-2022学年高一上学期数学人教B版(2019)必修第二册
第六章平面向量章节检测—2021-2022学年高一上学期数学人教B版(2019)必修第二册人教A版(2019) 必修第二册 必杀技 第6章 6.3.1 平面向量基本定理人教B版(2019) 必修第二册 学习帮手 第六章 6.2.1 向量基本定理(已下线)6.3平面向量基本定理及坐标表示C卷山西省大同市第一中学校2021-2022学年高一下学期4月学情检测数学试题苏教版(2019) 必修第二册 过关斩将 第9章 9.3.1 平面向量基本定理安徽省滁州市定远县育才学校2021-2022学年高一下学期期中考试数学试题安徽省滁州市定远县育才学校2021-2022学年高一下学期第一次月考数学试题(已下线)微专题02 平面向量的基本定理(2)-【微专题】2022-2023学年高一数学常考点微专题提分精练(人教A版2019必修第二册)贵州省黔西南布依族苗族自治州兴义市顶效开发区顶兴学校2022-2023学年高一下学期第一次月考数学试题(已下线)第五篇 向量与几何 专题12 等和线 微点2 等和线定理及其应用(二)(已下线)专题05 平面向量基本定理-《重难点题型·高分突破》(苏教版2019必修第二册)
名校
7 . 定义:若函数
的定义域为D,且存在非零常数
,对任意
,
恒成立,则称
为线周期函数,
为
的线周期.
(1)下列函数
(其中
表示不超过x的最大整数),是线周期函数的是____________(直接填写序号);
(2)若
为线周期函数,其线周期为
,求证:
为周期函数;
(3)若
为线周期函数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85eabd57a1bc7fde8cd6da81977bca5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)下列函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5276150cf27c826686b5f9df818dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd182241405bd00367a423e61df292a5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05312d9a1821302e6fba94998ee431e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2021-03-24更新
|
811次组卷
|
10卷引用:北京市海淀区2017-2018学年高一上学期期末考试数学试题
北京市海淀区2017-2018学年高一上学期期末考试数学试题2017-2018北京市中国人民大学附属中学高一期末试题北京市平谷区2019-2020学年高一上学期期末数学试题北京市八一学校2019~2020学年第二学期高一期中考试数学试题北京市景山学校远洋分校2020-2021学年高一下学期期中考试数学试题北京市海淀区北京交通大学附属中学2021-2022学年高一下学期3月月考数学试题北京市北京理工大学附属中学2022-2023学年高一下学期数学期中练习试题上海市青浦高级中学2018-2019学年高一下学期期中数学试题(已下线)7.3 三角函数的图像和性质(难点)(课堂培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)(已下线)第7章《三角函数》 培优测试卷(一)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)
名校
8 . 设两个非零向量
与
不共线.
(1)若
,
,且
与
平行,求实数
的值;
(2)若
,
,
,求证:
,
,
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788fa471d53a8be8dd55f561aecbf99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d428c58924272b6108694993f93b20c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41960bbc66bdc3b28be0138f83f9de5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03adf3fa0262d9bd46a2c794eb15746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fabf836a5eb2105f5a32160b75640c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1f8f32be372a1f04087ffcd4939514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1678a0b0738a66c8f748c0c323be96bb.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/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2021-01-23更新
|
1431次组卷
|
4卷引用:北京市房山区2020-2021学年高一上学期期末检测数学试题
21-22高二上·北京西城·期中
名校
9 . 对于给定的正整数n,记集合
,其中元素
称为一个n维向量.特别地,
称为零向量.设
,
,
,定义加法和数乘:
,
.对一组向量
,
,…,
(
,
),若存在一组不全为零 的实数
,
,…,
,使得
,则称这组向量线性相关.否则,称为线性无关.
(1)对
,判断下列各组向量是线性相关还是线性无关,并说明理由.
①
,
;②
,
,
;③
,
,
,
.
(2)已知向量
,
,
线性无关,判断向量
,
,
是线性相关还是线性无关,并说明理由.
(3)已知
个向量
,
,…,
线性相关,但其中任意
个都线性无关,证明下列结论:
①如果存在等式
(
,
),则这些系数
,
,…,
或者全为零,或者全不为零;
②如果两个等式
,
(
,
,
)同时成立,其中
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d916961d15be6e499999e2fbe51c456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac852f327effde190b9ebf3dd08e037c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a13d67dfa8d6f81c9aa06ca42c9e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2668c56f2e7bb75917c8b7d7b09c8926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b18d4591126e3801e10b93dadf2df3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dfee189ba5596b1fe73fef044b4687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4146baa4c775fef17a3eb033b2c1691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a40932863dcc8cb8356bbd487eaf196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43fd777be9b2e4fdfe3fbe9a7cdde79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e74e0eba2b8dbf3d09f6e6382f4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c567e4139b2be7a0ac01f3430d2d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1445d8e79cc2309e20001952f2b742d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2dc187e5bae6ab191f2442948763ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5259301dfd6e050de40be969068229b4.png)
(1)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74044239e1bc20b87b6be3f40b282675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be93e52fa914240b43743270b76a8fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74044239e1bc20b87b6be3f40b282675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be93e52fa914240b43743270b76a8fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d159653ffeca0f732a520f9d52eaf5fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb112690d7eb559b09a4f7666ff10ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7308ce4466feaf0c214ac02503c83029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250be63dcc2692aceeed802b008e767b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2e34d347c50b4de2ac8a306ead0e9c.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac852f327effde190b9ebf3dd08e037c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e257e6c38a24ced4f9423f7f51b0e92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f168ab643bde113e92134b3fa8139665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f7e488464e41e1a1e1eed427154aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c769ca2d340eb5ad4d16cd54852990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6faf15e812aa5e0f9272c8dbaa3591.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2ea5126ca30d68cc8b70f03860ba2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a40932863dcc8cb8356bbd487eaf196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43fd777be9b2e4fdfe3fbe9a7cdde79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0c36e75691a88bd6e38e6269e69fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1e94f660b7d05de4be4b5fbd9041f4.png)
①如果存在等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad741efadd0b14577a80df4c243e3b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7368220470ebd17a0fd2bcf1f9fd495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299d6864de87fd34448379b795776334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27628b047da341c79074ea4aa938ddc8.png)
②如果两个等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad741efadd0b14577a80df4c243e3b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898ac87221725132b69725b4042bb441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7368220470ebd17a0fd2bcf1f9fd495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66379e8d6cb9d00a3287d434fa3c9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299d6864de87fd34448379b795776334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f165fa05c199307b89a91027dd6d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd9175a6d8d1d75238a4b60db254846.png)
您最近一年使用:0次
2021-11-19更新
|
2652次组卷
|
13卷引用:北京市第四中学2021-2022学年高二上学期期中考试数学试题
(已下线)北京市第四中学2021-2022学年高二上学期期中考试数学试题北京市昌平区第二中学2022-2023学年高二上学期10月月考数学试题江苏省南通市如皋市2024届高三上学期1月诊断测试数学试题湖北省孝感市高级中学2024届高三上学期期末数学试题广东省深圳市南山区华侨城中学2024届高三下学期一模适应性考试数学试题重庆市九龙坡区育才中学2023-2024学年高一下学期寒假检测定时训练数学试题(已下线)最新模拟重组精华卷1-模块一 各地期末考试精选汇编(已下线)新题型01 新高考新结构二十一大考点汇总-3(已下线)专题22 新高考新题型第19题新定义压轴解答题归纳(9大核心考点)(讲义)(已下线)黄金卷03(2024新题型)福建省福州外国语学校2023-2024学年高一下学期3月月考数学试卷辽宁省东北育才学校双语校区2023-2024学年高一下学期期中考试数学试题湖南省衡阳市第八中学2024届高三下学期适应考试数学试题
名校
解题方法
10 . 已知
中,
.
(1)
中是否必有一个内角为钝角,说明理由.
(2)若
同时满足下列四个条件中的三个:①
;②
;③
;④
.请证明使得
存在的这三个条件仅有一组,写出这组条件并求出b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570f4e1a51292d9fe2c89ee23771f92d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a07fcfd5d22629a729e21052aafc2fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf7e7beb7ca1ffd445c7501bd5e3dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413f9851aad373d782ae62b308f1de85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-01-21更新
|
699次组卷
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7卷引用:北京市中国人民大学附属中学2021届高三1月期末模拟统一练习数学试题