解题方法
1 . 如图,点A、B、C分别为椭圆
的左、右顶点和上顶点,点P是
上在第一象限内的动点,直线AP与直线BC相交于点Q,直线CP与x轴相交于点M.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/7af96dc5-c1f6-43a1-8434-369b5878f73e.png?resizew=283)
(1)求直线BC的方程;
(2)求证:
;
(3)已知直线
的方程为
,线段QM的中点为T,是否存在垂直于y轴的直线
,使得点T到
和
的距离之积为定值?若存在,求出
的方程;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7b1b8a84ae7a1b2243b78cc932860d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/7af96dc5-c1f6-43a1-8434-369b5878f73e.png?resizew=283)
(1)求直线BC的方程;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba1480cc9c2f1a5128336a7818f8189.png)
(3)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aa3adcb154f6144903d456289ecb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
您最近一年使用:0次
名校
解题方法
2 . 已知椭圆
过点
,且有两个顶点所在直线的斜率为
,过椭圆左顶点A的直线l与椭圆C交于点M,与y轴交于点N.
(1)求椭圆C的方程;
(2)若
的面积为
,求直线l的方程;
(3)设过原点O且与直线l平行的直线
交椭圆于点P,求证
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7968194cf13e872ab941231cfc9eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/101da161ae17652ccbe7d3f888762c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55e4f3eda94bc505f103b10bc1fee7.png)
(3)设过原点O且与直线l平行的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f8e9d6cca157b95877d6540d16fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23939f727e902118ece930f72be086e2.png)
您最近一年使用:0次
3 . 如图,已知
,
,
,
,
,将
沿着直线
折至
,使得点
在平面
上的射影点
落在直线
上,则当
满足下列什么条件时,
有值( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/c6b7737e-6bef-4602-bea9-621d606e5ef4.png?resizew=143)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e2a44d05b1d387150c4b359e021ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea147ada4f0aefdd3808a6a1133792eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2464605dd0863dd18cea8a3e8489eb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3dc5c074faf09d4498fb2aa2d51b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc2d2dd56fcc67698c45a6e0e48f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90026b96116424a245b335b1adb886b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/c6b7737e-6bef-4602-bea9-621d606e5ef4.png?resizew=143)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次