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最近,宁波市江东区数学学科骨干教师面对区部分一线教师进行现场说题,同一题由两位教师面对不同的学生说题,形式独特,前所未有.同学们思维活跃,教师方法严谨新颖,整个说题过程非常精彩.其中一题是关于二次函数求解析式的,现摘录如下:原题设二次函数y=ax~2+bx+c(a>0,b>0)的图象经过(0,y_1),(1,y_2),(-1,y_3)三点,且y_1~2=y_2~2=y_3~2=1,求这个二次函数的解析式.简析本题求二次函数解析式,看似条件清晰简单,但入手做题却发现情况复杂,对于学生的要求有
Recently, key teachers of mathematics in Jiangdong District of Ningbo City faced some first-line teachers in the district to make on-the-spot topics. The same topic was confronted by two teachers facing different students’ questions in a unique and unprecedented form. The students were active in thinking and teachers were rigorous and novel. The whole process is very exciting. One of the questions on the analytical solution of the quadratic function, are excerpts are as follows: The original problem is to set the quadratic function y = ax ~ 2 + bx + c (a> 0, b> 0) The analytic formula for this quadratic function is as follows: (0, y_1), (1, y_2), (-1, y_3) and y_1 ~ 2 = y_2 ~ 2 = y_3 ~ 2 = 1. Seeking quadratic function analytic formula, seemingly conditions are clear and simple, but start to do but found that the situation is complex, for the requirements of students