1.方程有一解时,
①,f(1)f(3)<0,(3-2m)*(1-2m)<=0,1/2<=m<=3/2
②,△=9+4(1-2m)=0.,m=13/8
2,方程有,两解时,
f(1)=(3-2m)<=0,m>=3/2
f(3)=(1-2m)<=0,m>=1/2
△=9+4(1-2m)>0,m<13/8
3/2≤m<13/8
3.方程无解时
①,f(1)=(3-2m)>0,m<3/2,f(3)=(1-2m)>0,m<1/2
②,△=9+4(1-2m)<0,m>13/8
m<1/2并m>13/8
综上,当1/2<=m<=3/2并m=13/8时,方程有一解;当3/2≤m<13/8时,方程有二解;
当m>13/8或m<1/2时,无解