已知函数f(x)=x^2+2xsina-1,x∈[-√3/2,1/2] 1.当a=π/6时,求f(x)的最大值和最小值2.若f(x)在x∈[-√3/2,1/2]上是单调函数,且a∈[0,2π),求a的取值范围
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![已知函数f(x)=x^2+2xsina-1,x∈[-√3/2,1/2] 1.当a=π/6时,求f(x)的最大值和最小值2.若f(x)在x∈[-√3/2,1/2]上是单调函数,且a∈[0,2π),求a的取值范围](/uploads/image/z/13878284-68-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dx%5E2%2B2xsina-1%2Cx%E2%88%88%5B-%E2%88%9A3%2F2%2C1%2F2%5D+1.%E5%BD%93a%3D%CF%80%2F6%E6%97%B6%2C%E6%B1%82f%28x%29%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E5%92%8C%E6%9C%80%E5%B0%8F%E5%80%BC2.%E8%8B%A5f%28x%29%E5%9C%A8x%E2%88%88%5B-%E2%88%9A3%2F2%2C1%2F2%5D%E4%B8%8A%E6%98%AF%E5%8D%95%E8%B0%83%E5%87%BD%E6%95%B0%2C%E4%B8%94a%E2%88%88%5B0%2C2%CF%80%29%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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