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#cbd5040b-4efe-4ced-b6c3-45b09a258935中等fill_compute三角函数的平移伸缩变换三角函数与三角恒等变换

28.(2023•佛山一模)已知函数f(x)=sin(ωx+φ)f(x)=\sin (\omega x+\varphi )(其中ω>0\omega >0φ<π2)\vert \varphi \vert <\frac{\pi }{2})TTf(x)f(x)的最小正周期,且满足f(13T)=f(12T)f({\frac{1}{3}T})=f({\frac{1}{2}T}).若函数f(x)f(x)在区间(0,π)(0,\pi )上恰有2个极值点,则ω\omega的取值范围是 ___(116,176]({\frac{11}{6},\frac{17}{6}}]___.