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要求:先练习,然后阅读提示,接着对照答案,最后反思.做一做1.(1)已知函数f(x)=x~3+1.则函数y=f(x)的图像的对称中心为____;(2)已知函数f(x)=x~3+3x~2+3x+ 3,则函数y=f(x)的图像的对称中心为____;(3)已知函数f(x)=x~3+3x~2+3x+3,则函数y=f′(x)的对称轴的方程为____;(4)已知函数f(x)=ax~3+bx~2+cx+d的对称中心为(m,n),令F(x)=f′(x).则函数y=F(2x)的图像的对称轴的方程为____;(5)已知函数f(x)= a_4x~4+a_3x~3+a_2x~2+a_1x+a_0。若函数y=f(x)的图像的一条对称轴为x=m.则函数F(x)=f′(x)的图像的对称中心为____.
Requirement: First practice, then read the prompt, then contrast the answer, and finally reflect. Do one thing 1. (1) Known function f(x)=x~3+1. Then the symmetry of the image of the function y=f(x) The center is ____; (2) the known function f(x)=x~3+3x~2+3x+ 3, then the center of symmetry of the image of the function y=f(x) is ____; (3) the known function f(x)=x~3+3x~2+3x+3, the symmetry axis of the function y=f’(x) is ____; (4) the known function f(x)=ax~3+ The center of symmetry of bx~2+cx+d is (m,n), let F(x)=f’(x). Then the equation of the axis of symmetry of the image of function y=F(2x) is ____; (5 The known function f(x) = a_4x~4+a_3x~3+a_2x~2+a_1x+a_0. If the symmetry axis of the image of function y=f(x) is x=m, then the center of symmetry of the image of function F(x)=f’(x) is ____.