23-24高二上·全国·课后作业
解题方法
1 . 已知抛物线
的焦点为F,平行于x轴的两条直线
,
分别交C于A,B两点,交C的准线l于P,Q两点.
(1)若F在线段
上,R是
的中点,
与
平行吗?
(2)若
的面积是
的2倍,求
中点的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)若F在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6da2235c42867f9a79007c3fc83fec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632917e61f4208959686d118c7f19231.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adccd1dd14171c8c29d4a3836728c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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21-22高二·全国·课后作业
2 . 若抛物线
(
)上一点M到它准线的距离为2,且点M到此抛物线顶点的距离等于点M到它的焦点的距离,求此抛物线的焦点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
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21-22高二·全国·课后作业
3 . 求下列抛物线的焦点坐标和准线方程.
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5545195ade2bda359e683715332e83.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d10b19272c6f93c89b5a11d4ae29883.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b35985d5c22a637a518fa1e87f1d20.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769ee5594eb4d721d9e0fa83900d2453.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108c18cb76d7d34b05c991a644c8b136.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670705b11cfcc9a887e02d2582377742.png)
您最近一年使用:0次
2022-03-05更新
|
98次组卷
|
3卷引用:3.2 抛物线的简单几何性质
4 . 设抛物线
的焦点为F,从点F发出的光线经过抛物线上的点M(不同于抛物线的顶点)反射,证明反射光线平行于抛物线的对称轴.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
您最近一年使用:0次
2021-02-06更新
|
914次组卷
|
4卷引用:人教A版(2019) 选择性必修第一册 新高考名师导学 第三章 3.3 抛物线