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在数学教学中,采用“一题多解”的教学方法,并引导学生评价各种解法的特点,不但能提高学生的学习兴趣和解题能力、优化解题思路,而且能增强思维的广泛性.下面以习题课中一道题的解法为例,谈一谈“一题多解”对培养学生思维广泛性的作用.题目已知一次函数y=23x-2与x,y轴分别交于A,B两点,过AOB顶点的直线将AOB分成面积相等的两部分,求直线的函数关系式.分析由题意画出图形(如图1),A,B两
In mathematics teaching, adopting the teaching method of “one problem and multiple solutions ” and guiding students to evaluate the characteristics of various solutions can not only improve the students’ interest in learning and solving problems, but also improve the thinking of solving problems and enhance the thinking Extensive. The following exercises to solve the problem of a problem, for example, talk about “a problem and more solutions” to cultivate the extensive role of the student thinking topic known function y = 23x-2 and x, y axis Respectively, at the two points A, B, AOB apex straight line AOB is divided into two equal parts of the area, find a straight line function relationship. Analysis of the problem by drawing graphics (Figure 1), A, B two