抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.需要一点过程,抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.
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![抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.需要一点过程,抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.](/uploads/image/z/3724491-3-1.jpg?t=%E6%8A%9B%E7%89%A9%E7%BA%BFy%3D%E2%80%942x%5E2%2B4x%2B16%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E9%A1%B6%E7%82%B9%E4%B8%BAC%2C%E6%B1%82%E2%96%B3ABC%E7%9A%84%E9%9D%A2%E7%A7%AF.%E9%9C%80%E8%A6%81%E4%B8%80%E7%82%B9%E8%BF%87%E7%A8%8B%2C%E6%8A%9B%E7%89%A9%E7%BA%BFy%3D%E2%80%942x%5E2%2B4x%2B16%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E9%A1%B6%E7%82%B9%E4%B8%BAC%2C%E6%B1%82%E2%96%B3ABC%E7%9A%84%E9%9D%A2%E7%A7%AF.)
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抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.需要一点过程,抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.
抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.需要一点过程,
抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.
抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.需要一点过程,抛物线y=—2x^2+4x+16与x轴交于A,B两点,顶点为C,求△ABC的面积.
y=—2x^2+4x+16=-2(x^2-2x-8)=-2(x-4)(x+2)
所以,与X轴的二个交点坐标是(4,0)和(-2,0)
对称轴是x=(4-2)/2=1.
顶点纵坐标是y=-2*1+4*1+16=18
|x1-x2|=4+2=6
所以,△ABC的面积=1/2*6*18=54