名校
解题方法
1 . 如图,设
中角
所对的边分别为
为
边上的中线,已知
且
.
(2)求
的面积;
(3)设点
分别为边
上的动点,线段
交
于G,且
的面积为
面积的一半,求
的最小值.
![](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/97598771e2f206cd08b11e552121490b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55ca16acc058af4ae6a87ddd6c55234.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b085af88f8ef3a47c4d72e0d1b7211c.png)
您最近一年使用:0次
2021-09-07更新
|
3246次组卷
|
8卷引用:重庆外国语学校2020-2021学年高一下学期期中数学试题
名校
解题方法
2 . 对于一组向量
,
,
,…,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d8979b38c59bf578ac42b8ff828fd.png)
,令
,如果存在
,使得
,那么称
是该向量组的“
向量”.
(1)设
,若
是向量组
,
,
的“
向量”,求实数
的取值范围;
(2)若
,向量组
,
,
,…,
是否存在“
向量”?给出你的结论并说明理由;
(3)已知
、
、
均是向量组
,
,
的“
向量”,其中
,
.设在平面直角坐标系中有一点列
,
,
…
满足:
为坐标原点,
为
的位置向量的终点,且
与
关于点
对称,
与
关于点
对称,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d8979b38c59bf578ac42b8ff828fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e19d174b56089b02e0bc307dc024c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13eee97ef35e938aafc1b41ecb3a4d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5e2edb48460ee53b58c520fdb1380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0637cdb1d645028b286e4e274f2358bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7408c80684a7ed78f1d3af5ed249c4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b05df89f6fbdc4255a634b2ffa6bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb6823d280520da116cf1bc3943cf42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f515492171a791777ce122273ff28c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d8979b38c59bf578ac42b8ff828fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70607e01d10193a1768d8c512380e79a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8dba9db4965646d1d423507e971661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f52b152eaf63415b10ed786a58a2747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb6823d280520da116cf1bc3943cf42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7843d969caba71440ae78d963d89aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b19a6485af6c3f7a9c5a7f21d417241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ba716de9a987b867537febd4d2e338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1388e5e0e9573d6de0a88c10a5abe116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326519ed00b6190a806eacb9eafcbc76.png)
您最近一年使用:0次
2021-03-07更新
|
755次组卷
|
3卷引用:上海市上海交通大学附属中学2021届高三上学期期末数学试题
名校
解题方法
3 . 在平面直角坐标系中,已知椭圆
的离心率
,且椭圆
上的点到其焦点的距离的最大值为
,过点
的直线交椭圆
于点
、
.
(1)求椭圆
的方程;
(2)设
为椭圆上一点,且满足
(
为坐标原点),当
时,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab46ea0cba2d06283fae3d864a2329e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7908e8e2ca67ad0f739860222423950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfccfba0f6b1c0762a9cb37c3f6fff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4f263df3ae9b354401c14685be256f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
4 . 定义:对于实数
和两定点
,在某图形上恰有
个不同的点
,使得
,称该图形满足“
度契合”.若边长为4的正方形
中,
,且该正方形满足“4度契合”,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143059ae449832a9b9ef2d8e7bc28146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c709117ab1d3ef620883a732aed68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35f97a018d9762e2e6c5eb8bdf9595b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987dde25d731ca2e411cea4f672eb7bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-07-01更新
|
2342次组卷
|
9卷引用:思想01 函数与方程思想 第三篇 思想方法篇(讲) 2021年高考二轮复习讲练测(浙江专用)
(已下线)思想01 函数与方程思想 第三篇 思想方法篇(讲) 2021年高考二轮复习讲练测(浙江专用)(已下线)思想02 分类与整合思想 第三篇 思想方法篇(讲)-2021年高考数学二轮复习讲练测 (浙江专用)河南省漯河市2020-2021学年高三上学期期末数学(理科)试题河南省漯河市2020-2021学年高三上学期期末数学(文科)试题北京市一六六中学2020-2021学年高一下学期期中考试数学试题江苏省盐城市2017-2018学年高一下学期期末考试数学试卷【校级联考】辽宁省实验中学、大连八中、大连二十四中、鞍山一中、东北育才学校2019届高三上学期期末考试数学(理)试题上海市嘉定二中等四校2018-2019学年高二上学期期中联考数学试题(已下线)上海市华东师大二附中2020-2021学年高二上学期10月月考数学试题