已知抛物线c:x^2=-2(y-m),点a、b及p(2,4)均在抛物线上,且直线PA与PB的倾斜角互补(1)求证:直线AB斜率为定值(2)当直线AB在y轴上的截距为正值时.求S△ABP的最大值
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![已知抛物线c:x^2=-2(y-m),点a、b及p(2,4)均在抛物线上,且直线PA与PB的倾斜角互补(1)求证:直线AB斜率为定值(2)当直线AB在y轴上的截距为正值时.求S△ABP的最大值](/uploads/image/z/2710369-1-9.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFc%3Ax%5E2%3D-2%28y-m%29%2C%E7%82%B9a%E3%80%81b%E5%8F%8Ap%282%2C4%29%E5%9D%87%E5%9C%A8%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8A%2C%E4%B8%94%E7%9B%B4%E7%BA%BFPA%E4%B8%8EPB%E7%9A%84%E5%80%BE%E6%96%9C%E8%A7%92%E4%BA%92%E8%A1%A5%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E7%9B%B4%E7%BA%BFAB%E6%96%9C%E7%8E%87%E4%B8%BA%E5%AE%9A%E5%80%BC%EF%BC%882%EF%BC%89%E5%BD%93%E7%9B%B4%E7%BA%BFAB%E5%9C%A8y%E8%BD%B4%E4%B8%8A%E7%9A%84%E6%88%AA%E8%B7%9D%E4%B8%BA%E6%AD%A3%E5%80%BC%E6%97%B6.%E6%B1%82S%E2%96%B3ABP%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC)
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