已知函数f(x)=asinwx+bcoswx(a,b,w为正常数)最小正周期为π/2,当x=π/3时,f(x)取最小值-41.求a,b的值.2.若函数f(x)在区间[π/4,m]上存在零点,求m的最小值
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![已知函数f(x)=asinwx+bcoswx(a,b,w为正常数)最小正周期为π/2,当x=π/3时,f(x)取最小值-41.求a,b的值.2.若函数f(x)在区间[π/4,m]上存在零点,求m的最小值](/uploads/image/z/8237813-5-3.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dasinwx%2Bbcoswx%28a%2Cb%2Cw%E4%B8%BA%E6%AD%A3%E5%B8%B8%E6%95%B0%29%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E4%B8%BA%CF%80%2F2%2C%E5%BD%93x%3D%CF%80%2F3%E6%97%B6%2Cf%28x%29%E5%8F%96%E6%9C%80%E5%B0%8F%E5%80%BC-41.%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC.2.%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%5B%CF%80%2F4%2Cm%5D%E4%B8%8A%E5%AD%98%E5%9C%A8%E9%9B%B6%E7%82%B9%2C%E6%B1%82m%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC)
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