北京视野沙盘制作:初一数学

来源:百度文库 编辑:神马品牌网 时间:2024/05/05 18:36:19
√2003-√2002与√2002-√2001谁大?
(注:√为"根号")

1/(√2003-√2002)=(√2003+√2002)/(√2003-√2002)*(√2003+√2002)=√2003+√2002
1/(√2002-√2001)=(√2002+√2001)/(√2002-√2001)*(√2002+√2001)=√2002+√2001
很明显:(√2003+√2002)>(√2002+√2001)
所以√2003-√2002<√2002-√2001

1/(√2003-√2002)=(√2003+√2002)/(√2003-√2002)*(√2003+√2002)=√2003+√2002
1/(√2002-√2001)=(√2002+√2001)/(√2002-√2001)*(√2002+√2001)=√2002+√2001
很明显:(√2003+√2002)>(√2002+√2001)
所以√2003-√2002<√2002-√2001

1/(√2003-√2002)=(√2003+√2002)/(√2003-√2002)*(√2003+√2002)=√2003+√2002
1/(√2002-√2001)=(√2002+√2001)/(√2002-√2001)*(√2002+√2001)=√2002+√2001 (√2003+√2002)>(√2002+√2001) √2003-√2002<√2002-√2001

√2002-√2001大

后者大