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“四程式教学”注重挖掘所给条件和方法运用之间的内在联系,注重解题探索和解题实践的有机结合,不仅有利于强化学生解题思维的水平和保证数学复习的效率,而且能够让学生捕捉到“解题”的灵感,让数学学习与能力发展同行.现以二次函数解析式求法为例,赏析“四程式教学”的精彩.题目:已知二次函数图像的顶点为M(1,9),图像与x轴有两个交点A和B,点A在点B的左边,且AB=6,求该抛物线的解析式.从回顾二次函数三种解析表达式入手,准备好解题的基本“工具”.(1)一般式:y=ax~2+bx+c(a,b,c为常数,且a≠0);
“Four-program teaching” pays attention to the intrinsic link between the given conditions and the use of methods, and focuses on the organic combination of problem solving and problem solving. It not only helps to strengthen students’ level of problem-solving thinking, but also ensures the efficiency of mathematics review. It also allows students to capture the “solutions” inspiration, so that mathematics learning and ability to develop counterparts. The quadratic functional analytical method is now taken as an example, appreciation of the “four-program teaching” wonderful. Title: known two The vertex of the subfunction image is M(1,9), the image and the x axis have two intersection points A and B, the point A is on the left of point B, and AB=6, find the analytical formula of this parabola. Three kinds of analytical expressions to start, ready to solve the basic “tools”. (1) General formula: y = ax ~ 2 + bx + c (a, b, c is a constant, and a ≠ 0);