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在数学解题中,学生常会出现各种各样的错误,教师要分析错因,从而采取相应措施,提高学生的解题效率和思维能力。1易错思路形成的原因分析1.1忽视条件,考虑问题不全面在数学解题过程中,学生经常会出现忽视条件而导致解题错误的情况。忽视条件是因为学生没有正确理解试题,对其中的条件和语句有不恰当的认识,导致考虑问题不全面。例1为了得到函数y=cos(π/2-π/4)的图像,可以将函数y=sinx/2的图像()。A.向左平移π/2个单位长度B.向左平移π/4个单位长度C.向右平移π/2个单位长度D.向右平移π/4个单位长度
In solving mathematical problems, students often have a variety of mistakes, teachers should analyze the wrong reasons, so as to take appropriate measures to improve students’ problem-solving efficiency and thinking skills. Analysis of the reasons for the formation of a wrong way 1.1 ignore the conditions, consider the problem is not comprehensive In the process of mathematical problem solving, students often appear neglected conditions lead to problem-solving errors. Ignoring the conditions is because students do not correctly understand the test questions, the conditions and statements which have inappropriate understanding, leading to consider the problem is not comprehensive. Example 1 In order to obtain an image of the function y = cos (π / 2-π / 4), an image () of the function y = sinx / 2 can be obtained. A. Pan to the left π / 2 unit length B. Pan to the left π / 4 unit length C. Pan to the right π / 2 unit length D. Pan to the right π / 4 unit length