设函数f(x)=sinx+cosx和g(x)=2sinxcosx.若a为实数,求函数F(x)=f(x)+ag(x),x∈[0,π/2]的最小值
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![设函数f(x)=sinx+cosx和g(x)=2sinxcosx.若a为实数,求函数F(x)=f(x)+ag(x),x∈[0,π/2]的最小值](/uploads/image/z/2625626-2-6.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dsinx%2Bcosx%E5%92%8Cg%28x%29%3D2sinxcosx.%E8%8B%A5a%E4%B8%BA%E5%AE%9E%E6%95%B0%2C%E6%B1%82%E5%87%BD%E6%95%B0F%28x%29%3Df%28x%29%2Bag%28x%29%2Cx%E2%88%88%5B0%2C%CF%80%2F2%5D%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC)
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