设二次函数f(x)=x²+bx+c(b,c∈R),且对任意实数α,β恒有f(sinα)≥0,f(2cos1.求证:b+c=-12.求证:c≥33.若函数f(sinα)的最大值为8,求b和c的值再补充一下:,f(2+cos)≤0
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![设二次函数f(x)=x²+bx+c(b,c∈R),且对任意实数α,β恒有f(sinα)≥0,f(2cos1.求证:b+c=-12.求证:c≥33.若函数f(sinα)的最大值为8,求b和c的值再补充一下:,f(2+cos)≤0](/uploads/image/z/14581226-2-6.jpg?t=%E8%AE%BE%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0f%28x%29%3Dx%26sup2%3B%2Bbx%2Bc%28b%2Cc%E2%88%88R%29%2C%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8F%E5%AE%9E%E6%95%B0%CE%B1%2C%CE%B2%E6%81%92%E6%9C%89f%28sin%CE%B1%29%E2%89%A50%2Cf%282cos1.%E6%B1%82%E8%AF%81%EF%BC%9Ab%2Bc%3D-12.%E6%B1%82%E8%AF%81%EF%BC%9Ac%E2%89%A533.%E8%8B%A5%E5%87%BD%E6%95%B0f%28sin%CE%B1%EF%BC%89%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA8%2C%E6%B1%82b%E5%92%8Cc%E7%9A%84%E5%80%BC%E5%86%8D%E8%A1%A5%E5%85%85%E4%B8%80%E4%B8%8B%EF%BC%9A%2Cf%282%2Bcos%29%E2%89%A40)
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