解题方法
1 . 在
中,内角
的对边分别为
,且
.
(1)求
;
(2)若
在边
上,且
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29ab8c679a3a0fb88833a1460c4f13b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1ba0c497b3f9a9214c399ad814b93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-25更新
|
1454次组卷
|
3卷引用:2024届山东省聊城市高三三模数学试题
2024·全国·模拟预测
解题方法
2 . 在
中,内角
的对边分别为
.已知
.
(1)求
.
(2)若点
为边
的中点,且
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ad37b2562f8fc1a0823da2e03fe2c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024高三下·全国·专题练习
名校
解题方法
3 . 在①
,②
,③
这三个条件中任选一个,补充在下面的横线上,并解答.
在
中,内角A,B,C所对的边分别为a,b,c,且______.
(1)求角C的大小;
(2)已知
,D是边AB的中点,且
,求CD的长.
注:若选择多个条件分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b43e13c72acf6ac03d5c203d3ff4e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd23750aeee6e231118a35de3d355c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5fde2597f08922f912ffed0a8a22055.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求角C的大小;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47f2b6e8510964c9df2cc058891eb07.png)
注:若选择多个条件分别解答,则按第一个解答计分.
您最近一年使用:0次
2024·全国·模拟预测
解题方法
4 . 在
中,角
,的对边分别为
,
的面积为
,
.
(1)求角
.
(2)若
的面积为
,
,
为边
的中点,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb773636f7bc4b6b4b573dcba0f0e011.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81eedf404aeb0a2310a310910f73d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
是平面内任意两个非零不共线向量,过平面内任一点
作
,
,以
为原点,分别以射线
为
轴的正半轴,建立平面坐标系,如左图.我们把这个由基底
确定的坐标系
称为基底
坐标系
.当向量
不垂直时,坐标系
就是平面斜坐标系,简记为
.对平面内任一点
,连结
,由平面向量基本定理可知,存在唯一实数对
,使得
,则称实数对
为点
在斜坐标系
中的坐标.
(长度单位为米,如右图),且
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685535354ea99d84fd8e59e5bb509483.png)
(1)计算
的大小;
(2)质点甲在
上距
点4米的点
处,质点乙在
上距
点1米的点
处,现在甲沿
的方向,乙沿
的方向同时以3米/小时的速度移动.
①若过2小时后质点甲到达
点,质点乙到达
点,请用
,表示
;
②若
时刻,质点甲到达
点,质点乙到达
点,求两质点何时相距最短,并求出最短距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a076848a8ffbd0760fcdfd36b8ae8437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8114aa9f42de32336bfab841980d8a24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4181d61c3ce87141eeb3433c872529a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7553e6eb48e82ed03fab82d9d3f591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4833bdfaf0e3c186c3748699aaedee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59fc0767aa413e427b60d09c84e3615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4833bdfaf0e3c186c3748699aaedee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9851846d24701bf7ab3b35fce7676d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4647b85ebbbc8889720c6ff3c929cd66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbed7a9a503f5897311840eec49e940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4647b85ebbbc8889720c6ff3c929cd66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a314ab1aa622c7962cdfdee02410203e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53147d334931501aa2a1140e00ceeca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62eeab1830414dbbff26e27c6c78436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685535354ea99d84fd8e59e5bb509483.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b14123852c3e17f0a519282e076797.png)
(2)质点甲在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.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/b14069d21d32c724f0ebe3e311f114c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167f121a878699fa60e6cb467bf10484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320319d8230188d5fd7e7c7f4a540ae1.png)
①若过2小时后质点甲到达
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af62a51e61a58e7fb5ff757d34695ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2024-04-07更新
|
553次组卷
|
15卷引用:单元提升卷07 平面向量与复数
(已下线)单元提升卷07 平面向量与复数(已下线)模块一 专题2 平面向量基本定理与坐标运算(B)重庆市荣昌中学校2023-2024学年高一下学期3月月考数学试题广东省东莞市众美中学2023-2024学年高一下学期3月月考数学试题广东省东莞市海德双语学校2023-2024学年高一下学期第一次月考数学试题(已下线)模块一专题2 《平面向量基本定理与坐标运算》B提升卷(苏教版)(已下线)模块三 专题2 解答题分类练 专题5 三角函数与平面向量的实际应用(解答题)(北师大版高一期中)(已下线)模块一 专题4 平面向量基本定理与坐标运算(B)北师大版高一期中安徽省合肥市普通高中六校联盟2023-2024学年高一下学期4月期中联考数学试题辽宁省实验中学2023-2024学年高一下学期期中阶段测试数学试卷重庆市渝东九校联盟2022-2023学年高一下学期期中数学试题(已下线)高一第二学期第三次月考(范围:第9~14章)-重难点突破及混淆易错规避(苏教版2019必修第二册)广东省麻涌,塘厦,七中,济川四校2023-2024学年高一下学期5月期中联考数学试题广东省深圳市龙岗区平湖外国语学校2023-2024学年高一下学期期中考试数学试题安徽省马鞍山二中2024年高一6月月考数学试题
6 . 若
分别为平面上的向量,
为平面内的定点,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2596c5e027bd9c6bc73ebd444092c3f6.png)
的夹角为
,
.求
点轨迹所围的面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c21920a0a39b1604e130601f061b056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2596c5e027bd9c6bc73ebd444092c3f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c21920a0a39b1604e130601f061b056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125fa23737d2805cb7ef040bf2210e82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
7 . 四边形
是正方形,P是对角线DB上一点(不包括端点),E,F分别在边BC,DC上,且四边形
是矩形,试用向量法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a18c51f8045d21405bb6fb50688280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be570b9c6535a4bb329c6892f0845ebf.png)
您最近一年使用:0次
2024-03-02更新
|
101次组卷
|
7卷引用:第四节 平面向量的综合应用(讲)
(已下线)第四节 平面向量的综合应用(讲)人教A版(2019) 必修第二册 逆袭之路 第六章 6.4 平面向量的应用 6.4.2 向量在物理中的应用举例人教B版(2019) 必修第二册 逆袭之路 第六章 6.3 平面向量线性运算的应用人教B版(2019) 必修第二册 北京名校同步练习册 第六章 平面向量初步 6.3 平面向量线性运算的应用(已下线)专题05 平面向量的应用(题型专练)-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)6.4.1平面几何中的向量方法+6.4.2向量在物理中的应用举例 【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.4.1 平面几何中的向量方法——随堂检测
名校
8 . 已知椭圆
的长轴长为4,离心率为
,左顶点为
,过右焦点
作直线与椭圆分别交于
两点(异于左右顶点),连接
.
(1)证明:
与
不可能垂直;
(2)求
的最小值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491fa99ce27f7343c4f6392cb6c50394.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823aa3a403b140daf398912af4aeaff5.png)
您最近一年使用:0次
解题方法
9 . 在
中,
,
,
分别为内角
的对边,点
在线段
上,
,
,
的面积为
.
(1)当
,且
时,求
;
(2)当
,且
时,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c9acc8e0a6a969fa8227b84a088338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2f2d7c81cb44416bcdf59419637682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b1ce75a4b54d169ac6c607f3df86ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037199210cd22510285e0f271c7fc8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
10 . 在
中,角
,
,
的对边分别为
,
,
.已知
.
(1)求角
;
(2)过
作
,交线段
于
,且
,求角
.
![](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)
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(2)过
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2024-01-13更新
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3卷引用:湖南省长沙市雅礼中学2024届高三月考试卷数学(六)