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在初中数学中,出现了许多探究题,如三角形的内角和定理、勾股定理、平行四边形的判定、找规律等,要求学生积极动手,通过观察、辨析、独立思考或合作交流,对相应的定理、性质等留下深刻的印象.同时,在教师的引导下,通过学生探索,激发学生的思维,调动学生的积极性,有利于培养学生思维的广阔性和创造性.北师大版八年级下册第四章“四边形性质的探索”中,给出了以下一个探究题:
In junior middle school mathematics, there are many inquiry questions, such as the interior angles and theorems of triangles, the Pythagorean theorem, the judgment of parallelogram, and the law of finding, which requires students to be active, observing, differentiating, thinking independently or communicating with each other, Theorem, nature, etc .. At the same time, under the guidance of teachers, through student exploration, to stimulate students’ thinking, to mobilize the enthusiasm of students, is conducive to cultivating the broad and creative thinking of students. Chapter IV, “Exploration of the Quadrilateral Properties,” gives one of the following questions for inquiry: