【高一数学】已知函数f(x)=2sin^2(π/4+x)-(√3)cos2x,x∈[π/4,π/2]1:求f(x)的最大值和最小值.2:|f(x)-m|<2在x∈[π/4,π/2]上恒成立,求实数m的取值范围.
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![【高一数学】已知函数f(x)=2sin^2(π/4+x)-(√3)cos2x,x∈[π/4,π/2]1:求f(x)的最大值和最小值.2:|f(x)-m|<2在x∈[π/4,π/2]上恒成立,求实数m的取值范围.](/uploads/image/z/1698142-22-2.jpg?t=%E3%80%90%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%E3%80%91%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2sin%5E2%28%CF%80%2F4%2Bx%29-%28%E2%88%9A3%29cos2x%2Cx%E2%88%88%5B%CF%80%2F4%2C%CF%80%2F2%5D1%EF%BC%9A%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%BC.2%EF%BC%9A%7Cf%28x%29-m%7C%EF%BC%9C2%E5%9C%A8x%E2%88%88%5B%CF%80%2F4%2C%CF%80%2F2%5D%E4%B8%8A%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.)
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