解题方法
1 . 已知抛物线C:
(
)的焦点为F,过F且斜率为1的直线与C交于A,B两点,
.
(1)求C的方程;
(2)过点
的直线l交C于点M,N,点Q为
的中点,
轴交C于点R,且
,证明:动点T在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70b3cacdc4a77d86494cba97d4029a8.png)
(1)求C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f49bf802c3e69b9fd9b364bc6875abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964abecb924bbef04f9fc19868864d9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a68b46cf4008bd7180e67d6b692257b.png)
您最近一年使用:0次
2 . 设抛物线
,F为C的焦点,点
为x轴正半轴上的动点,直线l过点A且与C交于P,Q两点,点
为异于点A的动点.当点A与点F重合且直线l垂直于x轴时,
.
(1)求C的方程;
(2)若直线l不垂直于坐标轴,且
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f4e48c2b39a2d944c3b8cff204f70e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3b98d10ec2b6eae2ff029ecef9eb73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4963d116d232acb4f69e86455cdf81.png)
(1)求C的方程;
(2)若直线l不垂直于坐标轴,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fda29f1b1b042a89c0213f18d341ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb9ad23b997fc62e5bc738bfd3e6f7b.png)
您最近一年使用:0次
2020-06-26更新
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482次组卷
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5卷引用:福建省漳州市2020届高三毕业班第三次教学质量检测数学(文)试题