过抛物线y^2=2px的焦点F的直线和抛物线相交于A,B两点如图1丶若A,B的纵坐标分别为Y1,Y2,求证y1y2=-p^22丶若直线AO与抛物线的准线相交于点c,求证BC平行X轴
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![过抛物线y^2=2px的焦点F的直线和抛物线相交于A,B两点如图1丶若A,B的纵坐标分别为Y1,Y2,求证y1y2=-p^22丶若直线AO与抛物线的准线相交于点c,求证BC平行X轴](/uploads/image/z/11700894-30-4.jpg?t=%E8%BF%87%E6%8A%9B%E7%89%A9%E7%BA%BFy%5E2%3D2px%E7%9A%84%E7%84%A6%E7%82%B9F%E7%9A%84%E7%9B%B4%E7%BA%BF%E5%92%8C%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%E5%A6%82%E5%9B%BE1%E4%B8%B6%E8%8B%A5A%2CB%E7%9A%84%E7%BA%B5%E5%9D%90%E6%A0%87%E5%88%86%E5%88%AB%E4%B8%BAY1%2CY2%2C%E6%B1%82%E8%AF%81y1y2%3D-p%5E22%E4%B8%B6%E8%8B%A5%E7%9B%B4%E7%BA%BFAO%E4%B8%8E%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E5%87%86%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9c%2C%E6%B1%82%E8%AF%81BC%E5%B9%B3%E8%A1%8CX%E8%BD%B4)
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