奥数简便运算1.2003÷2003又2003/2004+1/2005=2.1995×(1/6-1/2001)+6×(1/

4个回答

  • 2003÷2003又2003/2004+1/2005

    =2003÷(2003×2004+2003)/2004+1/2005

    =2003÷[2003×(2004+1)]/2004+1/2005

    =2003÷(2003×2005)/2004+1/2005

    =2003×2004/(2003×2005)+1/2005

    =2004/2005+1/2005

    =1

    1995×(1/6-1/2001)+6×(1/1995-1/2001)-2001×(1/1995+1/6)+6

    =1995×(1/6-1/2001)+6×(1/1995-1/2001)-(1995+6)×(1/1995+1/6)+6

    =1995×(1/6-1/2001)+6×(1/1995-1/2001)-1995×(1/1995+1/6)-6×(1/1995+1/6)+6

    =1995×(1/6-1/2001)+6×(1/1995-1/2001)-1-1995/6-6/1995-1+6

    =1995×(1/6-1/2001)+6×(1/1995-1/2001)-1995/6-6/1995+4

    =1995/6-1995/2001+6/1995-6/2001-1995/6-6/1995+4

    =-1995/2001+6/1995-6/2001-6/1995+4

    =-1995/2001-6/2001+6/2001-6/1995+4

    =4-1

    =3