数与形 相倚依(初二、初三)

• 作 者: 马飞
• 机 构: 陕西省榆林市榆阳区教育局 719000
• 出 处: 数理天地(初中版)
• 发表日期: 2005年09期
• 关键词: 华罗庚先生 常规思维 相交弦定理 著名数学家 代数问题 数形结合 华先生 数量关系 平方关系 函数图

著名数学家华罗庚先生说:“数与形,本是相倚依,焉能分作两边飞?数缺形时少直观,形少数时难入微,数形结合百般好,隔离分家万事休,切莫忘,几何代数统一体,永远联系,莫分离”,事实上,有些代数问题,通过构造图形来解,常使人茅塞顿开,突破常规思维,进入新的境界,所以华先生还一语双关地告诫学生“不要得意忘形”.

The famous mathematician Mr. Hua Lugeng said: “Numbers and shapes, this is a dependent, you can be divided into two sides to fly? When the number of missing is less intuitive, when a few are difficult to understand, the combination of number and shape is as good as possible. Do not forget that the unity of geometric algebra is always connected and separated. In fact, some algebraic problems are often solved by constructing graphs, breaking the conventional thinking and entering a new realm. So Mr. Hua is also a pun. Admonish students that they ”don’t get excited."