已知函数$f\left(x\right)=\sqrt{3}\sin \omega x+\cos \omega x(\omega >0)$，$y=f\left(x\right)$的图像与直线$y=2$的两个相邻交点的距离等于$\mathrm{\pi }$，则$f\left(x\right)$的单调递增区间是（   ）

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                                                                                                                                            闽中秋思
                                                                                                                                      （唐）杜荀鹤
                                                                                                                      雨匀紫菊丛丛色，风弄红蕉叶叶声。
                                                                                                                      北畔是山南畔海，只堪图画不堪行。