已知函数f(x)=2x³-3(2+a²)x²+6(1+a²)x+1 (a∈R)(1)若f(x)在R上单调,求a的值(2)若f(x)在[0,2]上最大值为5,求a的取值范围(3)若f(x)在[-5,2]上最小值为-1,求a的取值范围我这里也没有正
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![已知函数f(x)=2x³-3(2+a²)x²+6(1+a²)x+1 (a∈R)(1)若f(x)在R上单调,求a的值(2)若f(x)在[0,2]上最大值为5,求a的取值范围(3)若f(x)在[-5,2]上最小值为-1,求a的取值范围我这里也没有正](/uploads/image/z/2590302-30-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2x%26%23179%3B-3%282%2Ba%26%23178%3B%29x%26%23178%3B%2B6%281%2Ba%26%23178%3B%29x%2B1+%EF%BC%88a%E2%88%88R%EF%BC%89%EF%BC%881%EF%BC%89%E8%8B%A5f%28x%29%E5%9C%A8R%E4%B8%8A%E5%8D%95%E8%B0%83%2C%E6%B1%82a%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89%E8%8B%A5f%28x%29%E5%9C%A8%5B0%2C2%5D%E4%B8%8A%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA5%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%883%EF%BC%89%E8%8B%A5f%28x%29%E5%9C%A8%5B-5%2C2%5D%E4%B8%8A%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA-1%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E6%88%91%E8%BF%99%E9%87%8C%E4%B9%9F%E6%B2%A1%E6%9C%89%E6%AD%A3)
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