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解题方法
1 . 设抛物线C:
的焦点为F,经过点F的动直线
交抛物线C于
两点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b3e354f5162023fc1c4838b263e3fe.png)
(1)求抛物线C的方程;
(2)若点M是抛物线C的准线上的一点,直线MF、MA、MB的斜率分别为
求证:当
时,
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994c0cb1e435532f108c00d28f2437a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926101582b7fd6705b0deecc69be8d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b3e354f5162023fc1c4838b263e3fe.png)
(1)求抛物线C的方程;
(2)若点M是抛物线C的准线上的一点,直线MF、MA、MB的斜率分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbe2cf85585c0b7a56a87c03f9d7b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1aa449dde6c821a649451b09100a539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
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