框出来的那道
1个回答

x²-2x+m=0

x1+x2=2

x1x2=m

x²-2x+n=0

x3+x4=2

x3x4=n

因x1、x2、x3、x4为等差数列

令x1=1/4

则可得x2=2-1/4=7/4

x2=x1+3d

可得公差d=1/2

即x3=1/4+1/2=3/4

x4=3/4+1/2=5/4

m=(1/4)(7/4)=7/16

n=(3/4)(5/4)=15/16

︱m-n︱=1/2