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在圆锥曲线问题中,常涉及坐标、参数或某个变量的取值范围的确定问题,此类问题既是中学数学中的重点问题也是难点问题,同时也是高考和竞赛试题中的热点问题.因为该类问题涉及的知识面广、综合性强,所以它能较好地考查圆锥曲线的定义、方程、几何性质、参数意义等基础知识的掌握和综合运用能力.当然,这类题目也是广大中学师生感到非常棘手
In the problem of conic curve, it often involves the determination of the range of coordinates, parameters or a certain variable. Such problems are both the key and difficult problems in middle school mathematics, and they are also hot topics in college entrance examination and competition examination. Because this type of problem involves a wide range of knowledge, comprehensive and strong, so it can better examine the conic curve definition, equations, geometric properties, parameter significance and other basic knowledge and comprehensive ability to use. Of course, such topics are also very thorny for teachers and students in the middle schools.