8. 若 $x_{1}=\frac{\pi}{4}, x_{2}=\frac{3 \pi}{4}$ 是函数 $f(x)=\sin \omega x(\omega>0)$ 两个相邻的极值点, 则 $\omega=$
Gaokao · Math · previous-year question
- A.2correct
- B.$\frac{3}{2}$
- C.1
- D.$\frac{1}{2}$
Answer
A. 2
Explanation
【详解】由题意知, $f(x)=\sin \omega x$ 的周期 $T=\frac{2 \pi}{\omega}=2\left(\frac{3 \pi}{4}-\frac{\pi}{4}\right)=\pi$, 得 $\omega=2$. 故选 A.
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