(1985+1987+1989+...+1999)/(1986+1988+1990+...
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/27 19:28:27
(1985+1987+1989+...+1999)/(1986+1988+1990+...
(1985+1987+1989+...+1999)/(1986+1988+1990+...
(1985+1987+1989+...+1999)/(1986+1988+1990+...
(1985+1987+1989+...+1999)=(1985+1999)+(1987+1997)+(1989+1995)+(1991+1993)
=8×1992
(1986+1988+1990+...+2000)=(1986+2000)+(1988+1998)+(1990+1996)+(1992+1994)
=8×1993
(1985+1987+1989+...+1999)/(1986+1988+1990+...+2000)
=(8×1992)/(8×1993)
=1992/1993
(4*3984)/(4*3986)
设1985为N,原式=(8N+56)/(8N+56+8)化简得(N+7)/(N+8)
1992/1993
(1985+1987+1989+...+1999)=(1985+1999)+(1987+1997)+(1989+1995)+(1991+1993)
=8×1992
(1986+1988+1990+...+2000)=(1986+2000)+(1988+1998)+(1990+1996...
全部展开
(1985+1987+1989+...+1999)=(1985+1999)+(1987+1997)+(1989+1995)+(1991+1993)
=8×1992
(1986+1988+1990+...+2000)=(1986+2000)+(1988+1998)+(1990+1996)+(1992+1994)
=8×1993
(1985+1987+1989+...+1999)/(1986+1988+1990+...+2000)
=(8×1992)/(8×1993)
=1992/1993
收起