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Gaokao Math Practice Question

已知函数 $f(x)=\sin (\omega x+\phi)\left(\omega>0,|\phi| \leqslant \frac{\pi}{2}\right), x=-\frac{\pi}{4}$ 为 $f(x)$ 的零点, $x=\frac{\pi}{4}$ 为 $y=f(x)$ 图象的对称轴, 且 $f(x)$ 在 $\left(\frac{\pi}{18}, \frac{5 \pi}{36}\right)$ 上单调, 则 $\omega$ 的最大值为 ($\qquad$)

  1. A.11
  2. B.9
  3. C.7
  4. D.5

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