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在高中数学里,经常会碰到诸如:曲线恒过定点、方程恒有解、含参不等式恒成立等问题.(我们简称为“恒成立”问题)从教学实践和各种检测可以看出:不少同学对于这一类问题感到很“棘手”,本文结合高考、竞赛试题及各地高考模拟试题对“恒成立”问题的处理策略加以梳理、总结如下:1
In high school mathematics, we often encounter problems such as constant points in the curve, constant solution of the equation, constant of the parameter inequalities, etc. (we simply refer to the problem of “constant establishment”) From the teaching practice and various tests we can see: Many students feel that this type of problem is very difficult, this paper combines the college entrance examination, competition papers and entrance exam simulation questions on the “establishment of a permanent” problem handling strategies to be summarized as follows: 1