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直线与圆锥曲线历来是高考的热点问题,特别是含参数题又是个难点问题.对于解圆锥曲线C上存在两点M,N关于直线对称,求参数范围问题,先设M,N的坐标,后联立方程作差,依据中点公式、两线垂直,再用参数M,N中点坐标Q,代入存在区域解不等式求出参数范围,最后Δ>0加以验证,求出正确范围.
Linear and conic curve has always been a hot issue in college entrance examination, especially with parameter problems is a difficult problem.For the solution to the existence of two conic C, M, N on the line symmetry, seeking the parameters of the scope of the problem, first set M, N coordinates, After the simultaneous equation is bad, according to the midpoint formula, the two lines are vertical, and then use the parameters M, N midpoint coordinates Q, into the existing region solution inequality to find the parameter range, the last Δ> 0 to verify, find the correct range.