1/2cos^2x+sinxcosx+3/2sin^2x
=1/2(cos^2x+sin^2x)+sinxcosx+sin^2x
=1/2+sin^2x+1/2sin2x
=1-1/2cos2x+1/2sin2x
所以周期为派
最大值为1+根号2/2
1/2cos^2x+sinxcosx+3/2sin^2x
=1/2(cos^2x+sin^2x)+sinxcosx+sin^2x
=1/2+sin^2x+1/2sin2x
=1-1/2cos2x+1/2sin2x
所以周期为派
最大值为1+根号2/2