已知抛物线y=-1\3(x-p)^2+q的顶点在抛物线y=x^2上,且在x轴上截得的线段长是4倍根号3,求p,q的值
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![已知抛物线y=-1\3(x-p)^2+q的顶点在抛物线y=x^2上,且在x轴上截得的线段长是4倍根号3,求p,q的值](/uploads/image/z/1671455-47-5.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFy%3D-1%5C3%28x-p%29%5E2%2Bq%E7%9A%84%E9%A1%B6%E7%82%B9%E5%9C%A8%E6%8A%9B%E7%89%A9%E7%BA%BFy%3Dx%5E2%E4%B8%8A%2C%E4%B8%94%E5%9C%A8x%E8%BD%B4%E4%B8%8A%E6%88%AA%E5%BE%97%E7%9A%84%E7%BA%BF%E6%AE%B5%E9%95%BF%E6%98%AF4%E5%80%8D%E6%A0%B9%E5%8F%B73%2C%E6%B1%82p%2Cq%E7%9A%84%E5%80%BC)
已知抛物线y=-1\3(x-p)^2+q的顶点在抛物线y=x^2上,且在x轴上截得的线段长是4倍根号3,求p,q的值
已知抛物线y=-1\3(x-p)^2+q的顶点在抛物线y=x^2上,且在x轴上截得的线段长是4倍根号3,求p,q的值
已知抛物线y=-1\3(x-p)^2+q的顶点在抛物线y=x^2上,且在x轴上截得的线段长是4倍根号3,求p,q的值
p²=q
-1\3(x-p)^2+q=0
x1=根号3q+p,x2=-根号3q+p,
绝对值(x1-x2)=4倍根号3,
2根号3q=4根号3
q=4
p=±2