抛物线y=ax²+bx+c(a≠0)的对称轴是x=2,且经过点P(3,0),则a+b+c的值为:A.-1B.0C.1D.2
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![抛物线y=ax²+bx+c(a≠0)的对称轴是x=2,且经过点P(3,0),则a+b+c的值为:A.-1B.0C.1D.2](/uploads/image/z/468750-30-0.jpg?t=%E6%8A%9B%E7%89%A9%E7%BA%BFy%3Dax%26%23178%3B%2Bbx%2Bc%28a%E2%89%A00%EF%BC%89%E7%9A%84%E5%AF%B9%E7%A7%B0%E8%BD%B4%E6%98%AFx%3D2%2C%E4%B8%94%E7%BB%8F%E8%BF%87%E7%82%B9P%EF%BC%883%2C0%EF%BC%89%2C%E5%88%99a%2Bb%2Bc%E7%9A%84%E5%80%BC%E4%B8%BA%EF%BC%9AA.-1B.0C.1D.2)
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抛物线y=ax²+bx+c(a≠0)的对称轴是x=2,且经过点P(3,0),则a+b+c的值为:A.-1B.0C.1D.2
抛物线y=ax²+bx+c(a≠0)的对称轴是x=2,且经过点P(3,0),则a+b+c的值为:
A.-1
B.0
C.1
D.2
抛物线y=ax²+bx+c(a≠0)的对称轴是x=2,且经过点P(3,0),则a+b+c的值为:A.-1B.0C.1D.2
∵对称轴是x=2,经过点P(3,0)
∴经过点(1,0)
∴y=a(x-3)(x-1)
化简得到y=ax²-4ax+3a
∴a+b+c=a-4a+3a=0