(1)利用待定系數(shù)法求二次函數(shù)解析式進(jìn)而得出答案即可;
(2)首先求出直線OB的解析式為y=x,進(jìn)而將二次函數(shù)以一次函數(shù)聯(lián)立求出交點(diǎn)即可;
(3)首先求出直線A′B的解析式,進(jìn)而由△P1OD∽△NOB,得出△P1OD∽△N1OB1,進(jìn)而求出點(diǎn)P1的坐標(biāo),再利用翻折變換的性質(zhì)得出另一點(diǎn)的坐標(biāo).
(1)∵A(3,0)、B(4,4)、O(0,0)在拋物線y=ax2+bx+c (a≠0)上.
![](http://h.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=ae31163079ec54e741b912188908b768/08f790529822720e83fd79f479cb0a46f21fab89.jpg)
(3)∵直線OB的解析式y(tǒng)=x,且A(3,0).
∵點(diǎn)A關(guān)于直線OB的對(duì)稱點(diǎn)A′的坐標(biāo)為(0,3).
設(shè)直線A′B的解析式為y=k2x+3,此直線過點(diǎn)B(4,4).
∴4k2+3=4,
![](http://e.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=b0be860a369b033b2cddf4dc25fe1aeb/8ad4b31c8701a18be34289419c2f07082838fe17.jpg)
![](http://d.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=9275242d612762d0806bacb990dc24c2/43a7d933c895d14396d27f2d71f082025aaf0713.jpg)