问题
填空题
已知函数y=ax2-2ax+3(a>0)图象上点(2,n)与(3,m),则 n ______m.(填“>,<,或无法确定”)
答案
令x=2,则n=4a-4a+3=3,
令x=3,则m=9a-6a+3=3a+3,
∵a>0,
∴m=3a+3>3,
∴m>n.
故答案为:<.
已知函数y=ax2-2ax+3(a>0)图象上点(2,n)与(3,m),则 n ______m.(填“>,<,或无法确定”)
令x=2,则n=4a-4a+3=3,
令x=3,则m=9a-6a+3=3a+3,
∵a>0,
∴m=3a+3>3,
∴m>n.
故答案为:<.