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顶点坐标公式
更新时间: 2021-01-30 18:20:31  

1、顶点坐标(-b/2a,4ac-b²/4a)。(其中2a,4ac-b²,4a都是一个整体)。

2、推导过程如下:

y=ax^2+bx+c;

y=a(x^2+bx/a+c/a);

y=a(x^2+bx/a+b^2/4a^2+c/a-b^2/4a^2);

y=a(x+b/2a)^2+c-b^2/4a;

y=a(x+b/2a)^2+(4ac-b^2)/4a;

对称轴x=-b/2a;

顶点坐标(-b/2a,(4ac-b^2)/4a)。

关键词: 顶点 坐标 公式

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