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一题多解,通过对已知倍角关系的运用,呈现出了多种解法。让学生开阔视野,打开思路,举一反三。教师应指导学生经常总结解题过程,细细领会思想方法的运用,促进学生思维的整合。通过对解法的探究,带给我们三点启示:重视课本中的例题、习题,注重思想方法渗透;重视解题习惯,避免无谓失误;重视一题多解,促进学生思维整合。
A multi-solution, through the use of known multiplier relations, showing a variety of solutions. Let students broaden their horizons, open ideas, from top to bottom. Teachers should guide students to summarize the process of solving problems often, carefully understand the use of ways and means to promote the integration of students' thinking. Through the exploration of the solution, it brings us three enlightenments: attention to the examples in the textbooks, exercises, pay attention to infiltration of ideas and methods; attention to problem solving habits, to avoid unnecessary mistakes; attention to a question and more solutions to promote the integration of student thinking.