2강-절대부등식 : 산술, 기하, 조화평균 (by 김영록-이상구-장지은)

2730 days 전, admin 작성

1. 산술, 기하, 조화평균 부등식을 GeoGebra를 이용해 증명하기

http://geogebracentral.blogspot.kr/2012/05/arithmetic-mean-geometric-mean.html

 

Tuesday, May 22, 2012

The Arithmetic Mean Geometric Mean Inequality

 
Move A along the circumference of the semi-circle. What can you say about the relationship between AD and the radius of the circle?
 
 


This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
 
The applet above shows the geometric proof of the arithmetic mean geometric mean inequality. The diameter of the circle is a + b and the radius is (a + b)/2. The length AD is less than or equal to the radius of the circle.  The complete explanation of the inequality can be found here. 
 



2. 산술, 기하, 조화평균 부등식을 기하학적으로 이해하기

http://mathya.com.ne.kr/highschool/math_1/sequence/seq_11.htm

3. 슈바르츠의 절대부등식이야기

http://prezi.com/xoyiz1_-f56w