解题方法
1 . 已知椭圆
,离心率为
.点
为椭圆C上一动点(其中
,
),点
,
为椭圆C左右焦点,直线
与直线
在一象限交于点
,则线段
长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a304696b261e993dcaa4038627ac9bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13747fa9a42164caebe2c9b7c5d06d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b170470d02c85c1be9a3faff5eca0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7299e8c8873f61b5ce5d3f2333b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
A.2 | B.![]() | C.1 | D.4 |
您最近一年使用:0次
2023-02-23更新
|
486次组卷
|
2卷引用:四川省凉山州西昌市2022-2023学年高二上学期期末检测数学(理)试题
名校
解题方法
2 . 如图,
为椭圆上的三点,
为椭圆的上顶点,
与
关于
轴对称,椭圆的左焦点
,且
.
![](https://img.xkw.com/dksih/QBM/2022/3/17/2938423696506880/2939358113349632/STEM/dba26ac5e4bf4b309d8c8dedab46b3ab.png?resizew=231)
(1)求椭圆的标准方程;
(2)过椭圆的右焦点
且与
轴不重合的直线交椭圆于
两点,
为椭圆的右顶点,连接
分别交直线
于
两点.试判断
的交点是否为定点?若是,请求出该定点;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7807638578edd712265463a7a5eab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e2b36e4731ee4c428a713f18217b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4c8c4dc18c89cafbd3bfb297e3d695.png)
![](https://img.xkw.com/dksih/QBM/2022/3/17/2938423696506880/2939358113349632/STEM/dba26ac5e4bf4b309d8c8dedab46b3ab.png?resizew=231)
(1)求椭圆的标准方程;
(2)过椭圆的右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103f89feb6e4cbb0bb2b90e0b40ea9ea.png)
您最近一年使用:0次
2022-03-19更新
|
740次组卷
|
4卷引用:四川省凉山州2022届高三第二次诊断性检测数学(理科)试题
3 . 如图,
为
内任意一点,角
,
,
的对边分别为
,
,
.总有优美等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e341b8685b585a77e1b3b0119e1feb46.png)
成立,因该图形酷似奔驰汽车车标,故又称为奔驰定理.现有以下命题:
是
的重心,则有
;
②若
成立,则
是
的内心;
③若
,则
;
④若
是
的外心,
,
,则
.
则正确的命题有___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](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/e341b8685b585a77e1b3b0119e1feb46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499ea5627b66fb6073965c3970d601cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64fb4f7504dc149fcaa481e085fc158.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8fe14ff9b6f00ff311a465551bad9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0875d9f26c55361db7eebe245f36714a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6a5b077f3a91cb9a76b45862856811.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec67d2710d07f8191686cf01ccb4481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdd1b09d3150744ff508b9fb62b962e.png)
则正确的命题有
您最近一年使用:0次
2021-05-21更新
|
2017次组卷
|
6卷引用:四川省凉山州2021届高三三模数学(文)试题
四川省凉山州2021届高三三模数学(文)试题四川省凉山州2021届高三三模数学(理)试题(已下线)课时27 平面向量的分解定理及应用-2022年高考数学一轮复习小题多维练(上海专用)(已下线)专题13 平面向量(练习)-1(已下线)第07讲 平面向量的奔驰定理与四心问题(已下线)第五篇 向量与几何 专题13 奔驰定理 微点1 奔驰定理(一)