已知奇函数f(x)的定义域为实数集,且f(x)在[0,+∞)上是增函数,当0≤θ≤π/2时,是否存在这样的实数m,使f(cos 2θ-3)+f(4m-2m cosθ)>f(0)对所有的θ∈[0,π/2]均成立?若存在,则求出所有适合条件的实数rn;
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![已知奇函数f(x)的定义域为实数集,且f(x)在[0,+∞)上是增函数,当0≤θ≤π/2时,是否存在这样的实数m,使f(cos 2θ-3)+f(4m-2m cosθ)>f(0)对所有的θ∈[0,π/2]均成立?若存在,则求出所有适合条件的实数rn;](/uploads/image/z/3016100-20-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%A5%87%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BA%E5%AE%9E%E6%95%B0%E9%9B%86%2C%E4%B8%94f%28x%29%E5%9C%A8%5B0%2C%2B%E2%88%9E%29%E4%B8%8A%E6%98%AF%E5%A2%9E%E5%87%BD%E6%95%B0%2C%E5%BD%930%E2%89%A4%CE%B8%E2%89%A4%CF%80%2F2%E6%97%B6%2C%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E8%BF%99%E6%A0%B7%E7%9A%84%E5%AE%9E%E6%95%B0m%2C%E4%BD%BFf%28cos+2%CE%B8-3%29%2Bf%284m-2m+cos%CE%B8%29%EF%BC%9Ef%280%29%E5%AF%B9%E6%89%80%E6%9C%89%E7%9A%84%CE%B8%E2%88%88%5B0%2C%CF%80%2F2%5D%E5%9D%87%E6%88%90%E7%AB%8B%3F%E8%8B%A5%E5%AD%98%E5%9C%A8%2C%E5%88%99%E6%B1%82%E5%87%BA%E6%89%80%E6%9C%89%E9%80%82%E5%90%88%E6%9D%A1%E4%BB%B6%E7%9A%84%E5%AE%9E%E6%95%B0rn%EF%BC%9B)
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