问个题目抛物线y*y=2px(p>0)上有两个动点A,B及一个定点M(x,y),F为焦点,若{AF},{MF},{BF}成等差数列.求证;(1)线段AB的垂直平分线过定点Q (2){MF}=4 {OQ}=6 求抛物线的方程.
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![问个题目抛物线y*y=2px(p>0)上有两个动点A,B及一个定点M(x,y),F为焦点,若{AF},{MF},{BF}成等差数列.求证;(1)线段AB的垂直平分线过定点Q (2){MF}=4 {OQ}=6 求抛物线的方程.](/uploads/image/z/1807206-6-6.jpg?t=%E9%97%AE%E4%B8%AA%E9%A2%98%E7%9B%AE%E6%8A%9B%E7%89%A9%E7%BA%BFy%2Ay%3D2px%28p%3E0%29%E4%B8%8A%E6%9C%89%E4%B8%A4%E4%B8%AA%E5%8A%A8%E7%82%B9A%2CB%E5%8F%8A%E4%B8%80%E4%B8%AA%E5%AE%9A%E7%82%B9M%28x%2Cy%29%2CF%E4%B8%BA%E7%84%A6%E7%82%B9%2C%E8%8B%A5%7BAF%7D%2C%7BMF%7D%2C%7BBF%7D%E6%88%90%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97.%E6%B1%82%E8%AF%81%3B%281%29%E7%BA%BF%E6%AE%B5AB%E7%9A%84%E5%9E%82%E7%9B%B4%E5%B9%B3%E5%88%86%E7%BA%BF%E8%BF%87%E5%AE%9A%E7%82%B9Q+++++%282%29%7BMF%7D%3D4+%7BOQ%7D%3D6+%E6%B1%82%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E6%96%B9%E7%A8%8B.)
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