已知函数f(x)=(4x)/(3x^2+3),x属于[0,2].设a不等于0,函数g(x)=(1/3)ax^3 - (a^2)x,x属于[0,2].若对任意X1属于[0,2],总存在x2属于[0,2],使得f(x1)-g(x2)=0,求实数a的取值范围.
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![已知函数f(x)=(4x)/(3x^2+3),x属于[0,2].设a不等于0,函数g(x)=(1/3)ax^3 - (a^2)x,x属于[0,2].若对任意X1属于[0,2],总存在x2属于[0,2],使得f(x1)-g(x2)=0,求实数a的取值范围.](/uploads/image/z/2820060-36-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%284x%29%2F%283x%5E2%2B3%EF%BC%89%2Cx%E5%B1%9E%E4%BA%8E%5B0%2C2%5D.%E8%AE%BEa%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E5%87%BD%E6%95%B0g%28x%29%3D%281%2F3%29ax%5E3+-+%EF%BC%88a%5E2%EF%BC%89x%2Cx%E5%B1%9E%E4%BA%8E%5B0%2C2%5D.%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8FX1%E5%B1%9E%E4%BA%8E%5B0%2C2%5D%2C%E6%80%BB%E5%AD%98%E5%9C%A8x2%E5%B1%9E%E4%BA%8E%5B0%2C2%5D%2C%E4%BD%BF%E5%BE%97f%28x1%29-g%28x2%29%3D0%2C%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.)
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