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研究性课题主要是指对某些数学问题的深入探讨,或者从数学角度对某些日常生活中和其他学科中出现的问题进行研究,研究性课题应密切结合课本中的基础知识和基本方法,引导学生在熟悉的情境中动手实践,以尽力营造独立自主和协作攻关的氛围.《立体几何(必修)》第122页5题“将正方体截去一个角,求证截面是锐角三角形”,就是一个具有发散、类比、归纳等探究功能,宜作研究性课题的素材.
The research topic mainly refers to the in-depth discussion of certain mathematical problems, or from the perspective of mathematics on some issues that arise in daily life and other disciplines. The research topic should closely integrate the basic knowledge and basic methods in textbooks. Guide students in hands-on practice in familiar situations and try their best to create an atmosphere of independence and collaboration. “Solid geometry (required)” on page 122 of the 5 questions “Truncate a square and confirm that the cross section is an acute triangle”. Divergence, analogy, induction, and other inquiry functions should be used as research material.