勾股定理的起源，证明和教育价值.doc
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勾股定理的起源，证明和教育价值,the origin of the pythagorean theorem, proof and the value of education12400字25页目录引 言1第一章 勾股定理的起源21.1 从西方看勾股定理的起源21.2 从东方看勾股定理的起源31.3 勾股定理的发展4第二章...
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勾股定理的起源，证明和教育价值
The origin of the Pythagorean theorem, proof and the value of Education
12400字 25页
目 录
引 言 1
第一章 勾股定理的起源 2
1.1 从西方看勾股定理的起源 2
1.2 从东方看勾股定理的起源 3
1.3 勾股定理的发展 4
第二章 勾股定理的证明 7
2.1 西方著名证明 7
2.2 东方著名证明 10
2.3 其他证明 11
2.4 说明 14
第三章 勾股定理的教育价值 15
3.1 引发学生的探索、创新思维 16
3.2 强化学生对于几何图形的数学感觉以及对几何的兴趣 16
3.3 有助于教育现代化的实现 17
结 论 19
致 谢 20
参考文献 21
摘要：勾股定理是几何平面中非常重要的一个定理，勾股定理又叫做毕达哥拉斯定理， 本文将从其起源，证明和教育价值三个方面来进行说明。在古印度，古巴比伦，古代中国，希腊，埃及等等这些地方，很早已经有了勾股数的记载和研究，古巴比伦石板，中国西汉时期的《周髀算经》，印度的“绳子规则”这些都是最好的说明。据说最早是西方的毕达哥拉斯证明了这个定理，然后欧几里德在他的几何原本里面记录了证明方法，中国的刘徽与赵爽他们几乎同时证明了勾股定理。勾股定理对中西方，古代现代的教育都有着深刻的影响。在本文中，作者通过运用陈述法，举例法，分析讨论法，给读者展现一个真实的，清晰的勾股定理。通过勾股定理的起源以及证明表现东西方在数学文化上的异同点，同时勾股定理是全人类共同的文化遗产，世界各国都非常重视勾股定理的社会文化价值，借助计算机，我们可以在传统数学教育和现代数学教育之间搭建一个教学平台，为实现数学教育现代化提供一条有效的措施。
关键词： 毕达哥拉斯 毕达哥拉斯定理 证明 教育价值
The origin of the Pythagorean theorem, proof and the value of Education
Abstract The Pythagorean theorem is a very important theorem in geometric plane. This paper will explain from three aspects about its origin, prove and educational value. In ancient India, ancient Babylon, ancient Greece, Egypt China, these places and so on, has been recorded and the Pythagorean number very early. Old Babylonian tablets, Chinese Western Han period, "Zhou Bi Suan Jing", India's "rope rules" which is the best explanation. It is said that Pythagoras proved the theorem first, and then the Euclidean geometry records the proof method in his original. Chinese Liu Hui and Zhao Shuang they almost at the same time proved the Pythagorean theorem. The Pythagorean theorem has a profound effect to the west, the ancient and modern education. In this paper, the authors use the representation, example method, analysis method, to show readers a true, clear the Pythagorean theorem. The origin and proof of the Pythagorean theorem perform the similarities and differences of the of East and West in mathematics cultural, at the same time the Pythagorean theorem is the common heritage of all mankind, the world has attached great importance to the Pythagorean theorem of social and cultural value. With the help of computer, we can build a teaching platform between traditional education and modern mathematics education , provides an effective measure for the realization of modernization of mathematics education.
Key words Pythagorean Pythagorean theorem prove The educational value
The origin of the Pythagorean theorem, proof and the value of Education
12400字 25页
目 录
引 言 1
第一章 勾股定理的起源 2
1.1 从西方看勾股定理的起源 2
1.2 从东方看勾股定理的起源 3
1.3 勾股定理的发展 4
第二章 勾股定理的证明 7
2.1 西方著名证明 7
2.2 东方著名证明 10
2.3 其他证明 11
2.4 说明 14
第三章 勾股定理的教育价值 15
3.1 引发学生的探索、创新思维 16
3.2 强化学生对于几何图形的数学感觉以及对几何的兴趣 16
3.3 有助于教育现代化的实现 17
结 论 19
致 谢 20
参考文献 21
摘要：勾股定理是几何平面中非常重要的一个定理，勾股定理又叫做毕达哥拉斯定理， 本文将从其起源，证明和教育价值三个方面来进行说明。在古印度，古巴比伦，古代中国，希腊，埃及等等这些地方，很早已经有了勾股数的记载和研究，古巴比伦石板，中国西汉时期的《周髀算经》，印度的“绳子规则”这些都是最好的说明。据说最早是西方的毕达哥拉斯证明了这个定理，然后欧几里德在他的几何原本里面记录了证明方法，中国的刘徽与赵爽他们几乎同时证明了勾股定理。勾股定理对中西方，古代现代的教育都有着深刻的影响。在本文中，作者通过运用陈述法，举例法，分析讨论法，给读者展现一个真实的，清晰的勾股定理。通过勾股定理的起源以及证明表现东西方在数学文化上的异同点，同时勾股定理是全人类共同的文化遗产，世界各国都非常重视勾股定理的社会文化价值，借助计算机，我们可以在传统数学教育和现代数学教育之间搭建一个教学平台，为实现数学教育现代化提供一条有效的措施。
关键词： 毕达哥拉斯 毕达哥拉斯定理 证明 教育价值
The origin of the Pythagorean theorem, proof and the value of Education
Abstract The Pythagorean theorem is a very important theorem in geometric plane. This paper will explain from three aspects about its origin, prove and educational value. In ancient India, ancient Babylon, ancient Greece, Egypt China, these places and so on, has been recorded and the Pythagorean number very early. Old Babylonian tablets, Chinese Western Han period, "Zhou Bi Suan Jing", India's "rope rules" which is the best explanation. It is said that Pythagoras proved the theorem first, and then the Euclidean geometry records the proof method in his original. Chinese Liu Hui and Zhao Shuang they almost at the same time proved the Pythagorean theorem. The Pythagorean theorem has a profound effect to the west, the ancient and modern education. In this paper, the authors use the representation, example method, analysis method, to show readers a true, clear the Pythagorean theorem. The origin and proof of the Pythagorean theorem perform the similarities and differences of the of East and West in mathematics cultural, at the same time the Pythagorean theorem is the common heritage of all mankind, the world has attached great importance to the Pythagorean theorem of social and cultural value. With the help of computer, we can build a teaching platform between traditional education and modern mathematics education , provides an effective measure for the realization of modernization of mathematics education.
Key words Pythagorean Pythagorean theorem prove The educational value
