请解答图中的数学题---**Document Title:** (网络收集)2024年北京卷数学高考真题文字版 **(Network Collection) 2024 Beijing Volume Mathematics College Entrance Examination Real Questions Text Version** **Section Heading:** 第一部分 (选择题 共 40分) **Section Heading:** First Part (Multiple Choice Questions Total 40 points) **Instructions:** 一、选择题 共 10 小题, 每小题 4 分, 共 40 分.在每小题列出的四个选项中, 选出符合题目要求的一项. **Instructions:** I. Multiple Choice Questions, 10 questions in total, 4 points each, totaling 40 points. For each question, choose the option from the four listed that meets the requirements of the question. **Question 1:** 已知集合 $M=\{x|-40)$, $f(x_1)=-1$, $f(x_2)=1$, $|x_1-x_2|_{min}=\frac{\pi}{2}$, 则 $\omega=(\quad)$ Given $f(x)=\sin \omega x (\omega>0)$, $f(x_1)=-1$, $f(x_2)=1$, $|x_1-x_2|_{min}=\frac{\pi}{2}$, then $\omega=(\quad)$ A. 1 B. 2 C. 3 D. 4 **Question 7:** 记水的质量为 $d=\frac{S-1}{\ln n}$, 并且 $d$ 越大, 水质量越好. 若 $S$ 不变, 且 $d_1=2.1$, $d_2=2.2$, 则 $n_1$ 与 $n_2$ 的关系为 $(\quad)$ Let the water quality be recorded as $d=\frac{S-1}{\ln n}$, and the larger $d$ is, the better the water quality. If $S$ is unchanged, and $d_1=2.1$, $d_2=2.2$, then the relationship between $n_1$ and $n_2$ is $(\quad)$ A. $n_1n_2$ C. 若 $S<1$, 则 $n_11$, 则 $n_1>n_2$; (If $S<1$, then $n_11$, then $n_1>n_2$;) D. 若 $S<1$, 则 $n_1>n_2$; 若 $S>1$, 则 $n_1n_2$; if $S>1$, then $n_1