解题方法
1 . 已知抛物线C:
上第一象限的一点
到其焦点的距离为2.
(1)求抛物线C的方程和P点坐标;
(2)过点
的直线l交抛物线C于A,B两点,若∠APB的角平分线过抛物线的焦点,求弦AB的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6217bf95358692cc6de64468b2bc24.png)
(1)求抛物线C的方程和P点坐标;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d90c3a2d65769ef5993f5b25e47e5bb.png)
您最近一年使用:0次
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解题方法
2 . 如图,
是过抛物线
焦点F的弦,M是
的中点,
是抛物线的准线,
为垂足,点N坐标为
.
![](https://img.xkw.com/dksih/QBM/2022/1/15/2894983053328384/2895915096834048/STEM/3900b7f4-67db-42e9-817d-146580f0f248.png?resizew=186)
(1)求抛物线的方程;
(2)求
的面积(O为坐标系原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87df56d8ed5f3d03cef8d083df351b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235209fb7bed75fe6ee47eaefc4c4289.png)
![](https://img.xkw.com/dksih/QBM/2022/1/15/2894983053328384/2895915096834048/STEM/3900b7f4-67db-42e9-817d-146580f0f248.png?resizew=186)
(1)求抛物线的方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2022-01-16更新
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744次组卷
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7卷引用:湖北省孝感市2022-2023学年高二上学期1月期末数学试题