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一题多解的训练是培养同学们能力的有效途径之一。多角度、多方位寻求问题的正确答案,活化了知识与技能,使同学们思维变得灵活主动,培养了同学们思维的广阔性、深刻性和创造性。现就一道解析几何题的多种解法呈现给大家,供大家欣赏,不妥之处还请大家批评指正。例题证明三点A(1,-3),B(-3,0),C(-7,3)共线。一、利用直线斜率证之证法一:因为k_(AB)=(-3-0)/(1-(-3))=-3/4,k_(AC)=(-3-3)/(1-(-7))=
The multi-solution training of one question is one of the effective ways to cultivate the abilities of the students. The correct answers to multi-perspective and multi-faceted seeking questions have activated knowledge and skills, made the students’ minds flexible and initiative, and cultivated the broadness, depth and creativity of the students’ thinking. A variety of solutions to a problem of analytical geometry are presented to everyone for your appreciation. If you do not, please also criticize and correct me. The example proves that the three points A(1,-3), B(-3,0), and C(-7,3) are collinear. First, the use of linear slope certificate proof one: because k_(AB)=(-3-0)/(1-(-3))=-3/4, k_(AC)=(-3-3)/ (1-(-7))=