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同学们学习时,由于对二次函数和一元二次方程的概念和隐含条件理解不透、忽视自变量的取值范围、受思维定势的影响、思考问题不周密、忽视了分类讨论、以偏概全等原因而出错,为纠正习惯性错误,下面举例剖析.易错点一忽视特殊情况漏解例1抛物线y=ax2+bx+c与x轴交于(0,0),B(2,0),最低点的纵坐标为-1,求过点O与抛物线只有一个交点的直线的解析式.错解:设抛物线的解析式为y=a(x-1)2-1,把(0,0)代
Students learn, because of the concept of quadratic function and quadratic equations and implicit terms of understanding impermeable, ignoring the range of independent variables, influenced by the thinking of the situation, thinking problems are not careful, ignoring the classification discussion, To correct the reasons for the error and so on, in order to correct habitual errors, the following example analysis. Error-prone one Neglect special cases Leak solution Example 1 Parabola y = ax2 + bx + c and the x-axis to (0,0), B (2,0), the ordinate of the lowest point is -1, and the analytic formula of the straight line that has only one intersection of point O and parabola is found Error Solution: Set the parabola to be y = a (x-1) 2-1 , (0,0) on behalf of