解题方法
1 . 在平面直角坐标系中,O为坐标原点,抛物线
的焦点为F,抛物线
上不同两点M,N同时满足下列三个条件中的两个:①
;②
;③直线
的方程为
.
(1)请分析说明两点M,N满足的是哪两个条件?并求抛物线
的标准方程;
(2)过抛物线
的焦点F的两条倾斜角互补的直线
和
交抛物线
于A,B,C,D,且A,C两点在直线
的下方,求证:直线
的倾斜角互补并求直线
的交点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1cb81ad58dc0521d4692a0404ecad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84237411459381e90951539322c7f56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49262efe7de5db5135e7f239b71258b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68831f427cd565ac3cc341024c9a422.png)
(1)请分析说明两点M,N满足的是哪两个条件?并求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)过抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
您最近一年使用:0次