一题多解是训练发散思维的有效途径和最好方法.发散思维是一种创造性思维,是指思维沿着多种方向展开,以获得不同思维结果.它具有多向性、独特性的特点,可采用一题多解培养学生的发散思维.一题多解的训练既可培养学生思维的灵活性与独特性,还有利于学生数学素质的不断提高.例已知a,b,c∈R One problem with multiple solutions is an effective way and the best way to train divergent thinking.Divergent thinking is a kind of creative thinking that refers to thinking in different directions to get different thinking results.It has characteristics of multidirectional and uniqueness , A problem-solving method can be used to cultivate students’ divergent thinking.The training of one problem and multiple solutions can not only cultivate the flexibility and uniqueness of students’ thinking but also improve the quality of students’ mathematics continuously.Examples a, b, c ∈ R