妙用类比思想学习不等式

• 作 者: 赵连杰
• 出 处: 中学生数理化(七年级数学)(配合人教社教材)
• 发表日期: 2004年期
• 关键词: 一元一次不等式 知识结构 一元一次方程 类比思维 方程表 去括号 合并同类项 变号 解集 以同

类比旧知识学习新知识,不仅使数学学习更容易、更生动、更形象,而且有利于培养同学们自主探索的能力与创新思维.同学们通过类比概念,可理解概念的本质;通过类比知识结构,可构建起知识的网络;通过类比思维,可突破学习思维难点,提高数学学习的有效性.一元一次不等式和一元一次方程既有密切的联系,又有本质的区别.同学们学习时若能运用类比思想,则会大大提高效率.

Learning new knowledge analogously to old knowledge not only makes mathematics learning easier, more vivid and more vivid, but also helps to cultivate the students' abilities of self-exploration and innovative thinking.Students can understand the nature of concepts through analogy, and through the structure of analogical knowledge , Can build a network of knowledge; Through analogy thinking, can break through the difficulty of learning thinking, to improve the effectiveness of mathematical learning.Unit one-time inequality and the one-dollar equation are both closely linked, but also essential differences if students can learn The use of analogy, it will greatly improve efficiency.