013]解:(1)该抛物线过点.可设该抛物线的解析式为. 将.代入. 得解得 此抛物线的解析式为.························································ (2)存在.··········································································································· 如图.设点的横坐标为. 则点的纵坐标为. 当时. .. 又. ①当时. . 即. 解得..····························································· ②当时..即. 解得. 当时..················································································· 类似地可求出当时..································································· 当时.. 综上所述.符合条件的点为或或.······························ (3)如图.设点的横坐标为.则点的纵坐标为. 过作轴的平行线交于.由题意可求得直线的解析式为. 点的坐标为..·· . 当时.面积最大..···················································· 【查看更多】

 

题目列表(包括答案和解析)

已知直线y=-2x+b(b≠0)与x轴交于点A,与y轴交于点B;一抛物线的解析式为y=x2-(b+10)x+c.

(1)若该抛物线过点B,且它的顶点P在直线y=-2x+b上,试确定这条抛物线的解析式;

(2)过点B作直线BC⊥AB交x轴于点C,若抛物线的对称轴恰好过C点,试确定直线y=-2x+b的解析式.

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已知直线y=-2x+b(b≠0)与x轴交于点A,与y轴交于点B;一抛物线的解析式为y=x2-(b+10)x+c.

(1)若该抛物线过点B,且它的顶点P在直线y=-2x+b上,试确定这条抛物线的解析式;

(2)过点B作直线BC⊥AB交x轴交于点C,若抛物线的对称轴恰好过C点,试确定直线y=-2x+b的解析式.

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解答题

已知直线y=-2x+b(b≠0)与x轴交于点A,与y轴交于点B,一抛物线的解析式为y=x2-(b+10)x+c.

(1)若该抛物线过点B,且它的顶点P在直线y=-2x+b上,试确定这条抛物线的解析式;

(2)过点B作直线BC⊥AB交x轴于点C,若抛物线的对称轴恰好过点C,试确定直线y=-2x+b的解析式.

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(2013•建宁县质检)如图:已知抛物线y=-
1
m
x2+(1-
2
m
)x+2
(m>0)与x轴相交于点B、C,与y轴相交于点A,且点B在点C的左侧.
(1)若该抛物线过点M(2,2),求这个抛物线的解析式;
(2)在(1)的条件下,请在第四象限内的该抛物线上找到一点P,使△POC的面积等于△ABC面积的
4
3
,求出P点坐标;
(3)在(1)的条件下,请在抛物线的对称轴上找到一点H,使BH+AH最小,并求出H点的坐标.

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18、已知抛物线当x=2时有最小值-4,且抛物线过点A(3,0),则求该抛物线的解析式?

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