解题方法
1 . 已知抛物线
的焦点为
.点
在抛物线
上,且
.
(1)求
;
(2)过焦点
的直线
交抛物线
于
两点,原点为
,若直线
分别交直线
:
于
两点,求线段
长度的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f44db0e2c2cf4da32aaccb5683c8caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c438531a5c9508d14ef7008eb4e732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c9aa5dc8e688868ad3eac88714cd51.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)过焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abfdd1e8e9a16c04d58ee0cc3382192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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名校
2 . 已知集合
(
).对于
,
,定义
;
(
);
与
之间的距离为
.
(1)当
时,设
,
.若
,求
;
(2)证明:若
,且
,使
,则
;
(3)记
.若
,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e423803a7eceeb306d9020fdb86ddc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb4290cab93c0521d2596031625448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d22720c8b8fbbf1b8e4406400b135f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6870f397a858ad814f76f6e7af90516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83919f9b83559bd5d1db0b9256a2524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.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/e98dfd60dfa6fc13400680e44a28c2b5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af388e3a6185f4e6e2a7db5dba6e1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f68a89451ca87d57d88d786c23d484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f6e0e6a7cd9b3ec681407e10b44901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(2)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81345ca73b711411e665820b5672913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559305e1e35d369f1d056bb4191a23aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a14234249447bcb6ea7c44050f1e846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3153bbcedc215adf208c82b65c8e6eff.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003fbb029cdb6d5d7f93e29dca371f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af068ef61f891465ccee0d9dd451ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b39ca902e466d5b24d13846b3bc4a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
您最近一年使用:0次
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解题方法
3 . 椭圆
上顶点为B,左焦点为F,中心为O.已知T为x轴上动点,直线BT与椭圆C交于另一点D;而P为定点,坐标为
,直线PT与y轴交于点Q.当T与F重合时,有
,且
.
(1)求椭圆C的标准方程;
(2)设T的横坐标为t,当
时,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e79685ce957fc55159d252bfa47e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41345ad137c228dc61897c489b0e8e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4684368c49e800712bf4e2940d2ee4.png)
(1)求椭圆C的标准方程;
(2)设T的横坐标为t,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad779c4690f7697a94ff302a83ea1a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ac03e8506c3477139b3fb19573c65e.png)
您最近一年使用:0次
2023-06-15更新
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