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二次函数值的比较大小类试题一直是中考热点问题.这类问题一方面凸显了对二次函数的图像性质的基本知识、核心知识的考查,另一方面体现了对数形结合、分类讨论等重要思想方法的考查.【引例】已知点A(2,y_1),B(-1,y_2)在抛物线y=(x-1)~2+1上,则比较y_1,y_2的大小关系____.【常规思路】从代数的角度,我们可以根据二次函数图像上点的坐标特征,将A(2,y_1),B(-1,y_2)代入
Comparison of quadratic function value test questions has been the hot spot in the exam.This kind of problem on the one hand highlights the nature of the quadratic function of the image of the basic knowledge, examination of core knowledge, on the other hand reflects the combination of logarithm, classification discussion Etc. [Example] The known points A (2, y_1), B (-1, y_2) are compared with each other on the parabola y = (x-1) ~ 2 + 1 From the perspective of algebra, we can substitute A (2, y_1), B (-1, y_2) into the coordinates of points on the quadratic function image