名校
解题方法
1 . 已知抛物线
的焦点为
,且
为圆
的圆心.过
点的直线
交抛物线与圆分别为
,
,
,
(从上到下).
![](https://img.xkw.com/dksih/QBM/2021/11/28/2861025593606144/2861191752048640/STEM/c729d0d5-a3f0-45c5-b113-bbef70eed0c6.png?resizew=172)
(1)求抛物线方程并证明
是定值;
(2)若
,
的面积比是
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6316e0e6da742e9b035d8f2cc91a4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2021/11/28/2861025593606144/2861191752048640/STEM/c729d0d5-a3f0-45c5-b113-bbef70eed0c6.png?resizew=172)
(1)求抛物线方程并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc61ca14a0dcaa5806e8d8b7f926bad.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4686f39b38d5b90309ee73ed89a0640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320896d1b4b9217d9ba527604ac35d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-11-28更新
|
593次组卷
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5卷引用:黑龙江省大庆实验中学2021-2022学年高二上学期期末考试数学试题
黑龙江省大庆实验中学2021-2022学年高二上学期期末考试数学试题浙江省温州新力量联盟2020-2021学年高二下学期期中联考数学试题(已下线)专题17 圆锥曲线常考题型05——圆锥曲线中的存在性问题与面积问题-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)(已下线)期末模拟题(三)-2021-2022学年高二数学同步单元AB卷 (人教A版2019选择性必修第一册+第二册,浙江专用)(已下线)3.3 抛物线的标准方程-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)
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
|
482次组卷
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5卷引用:黑龙江省大庆铁人中学2020-2021学年高二上学期期中考试数学试题