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纵观近年各个省市的高考数学试卷,我们不难发现,每年都有创新试题出现,这些试题从何而来?2006年的数学创新试题又来自何方?一、推陈出新例1．三个同学对问题“关于x的不等式x~2+25+|x~3-5x~2|≥ax在[1,12]上恒成立,求实数a的取值范围”提出各自的解题思路．甲说：“只须不等式左边的最小值不小于右边的最大值”．
Looking at the college entrance examination mathematics examination papers of various provinces and cities in recent years, it is not difficult to find that every year there are innovative test questions. Where did these questions come from? Where did the mathematics innovation questions from 2006 come from? First, introduce new examples. Three classmates on the problem “The inequality x on x = 2 + 25 + | x ~ 3-5x ~ 2 | ≥ ax is constant on [1,12], and the range of values of a real number a” proposes its own problem solving Thinking. A said: “Only the minimum value on the left side of the inequality is not less than the maximum value on the right side.”