f（x）=sin²x+根号3sinxcosx+2cos²x =sin²x+cos²x+√3sinxcosx+cos²x=1+(√3/2)sin2x+(1/2)cos2x+1/2=3/2+sin2xcosπ/6+cos2xsinπ/6=3/2+sin(2x+π/6)所以：函数的最大值=3/2+1=5/2函数的...