问题标题:
当x=0时,由y=0与y=ax^2+15/4x-9相切,可得a=_________当x=3/2时,由y=27/4x-27/4与y=ax^2+15/4x-9相切,可得a=__________
问题描述:
当x=0时,由y=0与y=ax^2+15/4x-9相切,可得a=_________
当x=3/2时,由y=27/4x-27/4与y=ax^2+15/4x-9相切,可得a=__________
鲁卿回答:
y=0,切线斜率是0
所以y'=2ax+15/4=0
显然这里x不能等于0
y=27/4x-27/4
切线斜率是27/4
所以y'=2ax+15/4=27/4
x=3/2
所以3a=3
a=1
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