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
|
10380次组卷
|
21卷引用: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
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)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(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)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)(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
名校
解题方法
2 . 在
中,角
,
,
所对的边分别为
,
,
,且
.已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1073b32a86093f661316f5c24ce9ff7b.png)
.
(Ⅰ)求证:
,
,
成等差数列;
(Ⅱ)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1073b32a86093f661316f5c24ce9ff7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700c31d790f2d96830ae602a978e89eb.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ef10e175dc99ca0dc9e99a0be00cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a39beea5adf5d07aea0424ca7a64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaab0619213938b7f55769c7540abdf8.png)
您最近一年使用:0次
2020-05-13更新
|
620次组卷
|
2卷引用:2020届江西省九江市高三二模理科数学试题
解题方法
3 . 已知抛物线
,
,
,其中
,过
的直线
交抛物线
与
,
.
![](https://img.xkw.com/dksih/QBM/2020/2/16/2400371651092480/2401507958267904/STEM/d36b432549c24c04b595d5c2cde3885c.png?resizew=196)
(I)当
,且直线
垂直于
轴时,求证:
为直角三角形;
(Ⅱ)若
,当点
在直线
上时,是否存在实数
,使得
,若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4776e87dd96658bb5ffe1b09cb98c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2020/2/16/2400371651092480/2401507958267904/STEM/d36b432549c24c04b595d5c2cde3885c.png?resizew=196)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9fc2dda89829fa2c610a8fce86d22.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27fc47af52759972bdf52acc06959a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59747cee312ee5140643428cae79efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-02-18更新
|
353次组卷
|
2卷引用:2020届江西省吉安市高三上学期期末数学(文)试题
解题方法
4 . 在
中,角
,
,
的对边分别为
,
,
.已知
.
(1)求证:
;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7812094ec0b468c3e2381658cd056f0.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28956ebf0ebd38adb583b9970f9f8c6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38f550e95b2950f91e8ec1798b94109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2011高三·江西·专题练习
5 . 已知点
,
,
,且
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bc6e35f01f01a7b1afedb7b1b8c4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aee5bc779eb9951294e94b477a719af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434bd30bcaaa7f60051d7f6b1c12a43b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd086006382ccdfb751eb8b13fe91f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda864f0d89a73faae4e17c6add6a213.png)
您最近一年使用:0次
2020-02-06更新
|
185次组卷
|
8卷引用:2011届江西省莲塘一中高三习题精编(11)
(已下线)2011届江西省莲塘一中高三习题精编(11)人教B版(2019) 必修第二册 过关斩将 第六章 6.2.3 平面上向量的坐标及其运算 第2课时 平面向量平行的坐标表示人教B版(2019) 必修第二册 逆袭之路 第六章 6.2 向量基本定理与向量的坐标 6.2.3 平面向量的坐标及其运算人教A版(2019) 必修第二册 逆袭之路 第六章 6.3.4 平面向量数乘运算的坐标表示人教A版(2019) 必修第二册 过关斩将 (高手篇)第六章 6.3 平面向量基本定理及坐标表示(已下线)6.3.4 平面向量数乘运算的坐标表示(第2课时)(分层练习)-2020-2021学年高一数学新教材配套练习(人教A版2019必修第二册)(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【第三课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.3.2平面向量的正交分解及坐标表示(分层作业)-【上好课】
13-14高三上·江西·期中
6 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad76c1c03862c5fa46f4320c73ce33e9.png)
(1)求证:向量
与向量
不可能平行;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad76c1c03862c5fa46f4320c73ce33e9.png)
(1)求证:向量
![](https://img.xkw.com/dksih/QBM/2013/12/10/1571430517391360/1571430522888192/STEM/215361bfa5bc44d7a3c3d56f97fd5c49.png)
![](https://img.xkw.com/dksih/QBM/2013/12/10/1571430517391360/1571430522888192/STEM/4fe4eafcc5bd49e4a6b80248e91dd152.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2013/12/10/1571430517391360/1571430522888192/STEM/af4d9a42f25e45cdb445395bedb94e82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0deceec85a938d298786b6a02ca073d0.png)
![](https://img.xkw.com/dksih/QBM/2013/12/10/1571430517391360/1571430522888192/STEM/da18ae5897a048caae1b2255b058cc85.png)
您最近一年使用:0次
2011·江西抚州·一模
7 . 已知函数
,当
时,
取得极小值
.
(1)求
,
的值;
(2)设直线
,曲线
.若直线
与曲线
同时满足下列两个条件:
①直线
与曲线
相切且至少有两个切点;
②对任意
都有
.则称直线
为曲线
的“上夹线”.
试证明:直线
是曲线
的“上夹线”.
(3)记
,设
是方程
的实数根,若对于
定义域中任意的
、
,当
,且
时,问是否存在一个最小的正整数
,使得
恒成立,若存在请求出
的值;若不存在请说明理由.
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/6dd8fc8c9b87403c9f64c9309d0b371c.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/37592c97396f4ba2a4f214efcb6d2407.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/40adf81030654ac7bccef9369cf5abdd.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/38cceed70a0b49bc806bf4e5ca27ecca.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/6b4e125e68444455b9314efb53397414.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/780372e73edf425dbf6331dad42470ac.png)
(2)设直线
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/b7ace2bfc9a749f19592c8486fc55aca.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/2290fd0c0a114151aa054660b34b4ed0.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/5478083dda404b1d9985fed249924a9d.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c0e0e1c7db974c8fb899dc7caf002e6c.png)
①直线
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/5478083dda404b1d9985fed249924a9d.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c0e0e1c7db974c8fb899dc7caf002e6c.png)
②对任意
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/89441b3d8d404518825d4ba2801f670b.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/0c3ae168e1624e0e9f30d4bdad816f51.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/5478083dda404b1d9985fed249924a9d.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c0e0e1c7db974c8fb899dc7caf002e6c.png)
试证明:直线
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/adeb39d00e354cef930dfee39198aa90.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/bf8fdce85f4a49fea2c7d997d7a1ddc3.png)
(3)记
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/9b0f1c2ac58840cc8a50a53f160b2d90.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/1509c1382f73464a85be1253dfcc60ba.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/7ebf129480ef42fb80f7e47b812d510c.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/86eac3662a5b408dbaf81fb887824f95.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c59f9a36d539401290f6efd112f08723.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/d9a3ef10a41d4ad1839682f011052d03.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/4164a3339cf445ff85d6e3a077e6b2f7.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/34636fa0ff99403f95d85faebcf73418.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/baa406a5f25049cabf59193bbed346a3.png)
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