如图,已知抛物线y=-x2+bx+c与x轴交于点A(-1,0)和B,与y轴交于点C(0,3).(2)设抛物线的顶点为D,连接CD、DB、CB、AC. ①求证:△AOC∽△DCB; (2)①证明:可求得顶点D(1,4),OA=1,OC=OB=3,∠OCB=4
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![如图,已知抛物线y=-x2+bx+c与x轴交于点A(-1,0)和B,与y轴交于点C(0,3).(2)设抛物线的顶点为D,连接CD、DB、CB、AC. ①求证:△AOC∽△DCB; (2)①证明:可求得顶点D(1,4),OA=1,OC=OB=3,∠OCB=4](/uploads/image/z/10144666-10-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFy%3D-x2%2Bbx%2Bc%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8E%E7%82%B9A%EF%BC%88-1%2C0%EF%BC%89%E5%92%8CB%2C%E4%B8%8Ey%E8%BD%B4%E4%BA%A4%E4%BA%8E%E7%82%B9C%EF%BC%880%2C3%EF%BC%89%EF%BC%8E%EF%BC%882%EF%BC%89%E8%AE%BE%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E9%A1%B6%E7%82%B9%E4%B8%BAD%2C%E8%BF%9E%E6%8E%A5CD%E3%80%81DB%E3%80%81CB%E3%80%81AC%EF%BC%8E+%E2%91%A0%E6%B1%82%E8%AF%81%EF%BC%9A%E2%96%B3AOC%E2%88%BD%E2%96%B3DCB%EF%BC%9B+%EF%BC%882%EF%BC%89%E2%91%A0%E8%AF%81%E6%98%8E%EF%BC%9A%E5%8F%AF%E6%B1%82%E5%BE%97%E9%A1%B6%E7%82%B9D%EF%BC%881%2C4%EF%BC%89%2COA%3D1%2COC%3DOB%3D3%2C%E2%88%A0OCB%3D4)
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