已知f(x)=x^2+bx+c为偶函数,曲线y=f(x)过点(2,5),g(x)=(x+a)f(x) (1)若曲线y=g(x)有斜率为0的切线,求实数a的取值范围 (2)若当x=-1时函数y=g(x)取得极值,确定y=g(x)的单调区间
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![已知f(x)=x^2+bx+c为偶函数,曲线y=f(x)过点(2,5),g(x)=(x+a)f(x) (1)若曲线y=g(x)有斜率为0的切线,求实数a的取值范围 (2)若当x=-1时函数y=g(x)取得极值,确定y=g(x)的单调区间](/uploads/image/z/7307742-30-2.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3Dx%5E2%2Bbx%2Bc%E4%B8%BA%E5%81%B6%E5%87%BD%E6%95%B0%2C%E6%9B%B2%E7%BA%BFy%3Df%28x%29%E8%BF%87%E7%82%B9%EF%BC%882%2C5%EF%BC%89%2Cg%28x%29%3D%28x%2Ba%29f%28x%29+%EF%BC%881%EF%BC%89%E8%8B%A5%E6%9B%B2%E7%BA%BFy%3Dg%28x%29%E6%9C%89%E6%96%9C%E7%8E%87%E4%B8%BA0%E7%9A%84%E5%88%87%E7%BA%BF%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+%EF%BC%882%EF%BC%89%E8%8B%A5%E5%BD%93x%3D-1%E6%97%B6%E5%87%BD%E6%95%B0y%3Dg%28x%29%E5%8F%96%E5%BE%97%E6%9E%81%E5%80%BC%2C%E7%A1%AE%E5%AE%9Ay%3Dg%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4)
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