index int64 0 1.35k | question stringlengths 6 657 | A stringlengths 1 149 | B stringlengths 1 140 | C stringlengths 1 159 | D stringlengths 1 274 ⌀ | answer stringclasses 4
values | image stringlengths 368 601k | category stringclasses 7
values | question_type stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|
0 | 某工厂对一批产品进行了抽样检测. 有图是根据抽样检测 后的产品净重 (单位: 克) 数据绘制的频率分布直方图, 其中 产品净重的范围是 $[96,106]$, 样本数据分组为 $[96,98),[98$, $100),[100,102),[102,104),[104,106]$, 已知样本中产品 净重小于 100 克的个数是 36 , 则样本中净重大于或等于 98 克并 且小于 104 克的产品的个数是( ) | 90 | 75 | 60 | 45 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCADvAQ0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
1 | 某几何体的三视图如图所示, 则该几何体的体积为 ( ) | $\frac{1}{3}+\pi$ | $\frac{2}{3}+\pi$ | $\frac{1}{3}+2 \pi$ | $\frac{2}{3}+2 \pi$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABoAVIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
2 | 执行下边的程序框图, 输出的 $n=$ ( ) | 3 | 4 | 5 | 6 | B | ["iVBORw0KGgoAAAANSUhEUgAAALwAAAFsCAYAAAB2ANMwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADfnSURBVHhe7Z0HtFTV9YfRmMSlWcaIvSUGomJBwY5YEBUFFVHEEgQURaygoIigNLGCgCACCgJKszdQQAEBFbAgAhZsaGxBTYwtPef//7ZvP++73Jm597558+bM7N9aZ83M7ffOd87dZ5+y67iYevnllyu+mUz+yoA3lZUMeFNZyYA3lZUMeFNZyYA3lZUMeFNZyYA3lZUMeF... | math | multiple-choice |
3 | 执行如图所示的程序框图, 输出的 $S$ 值为( ) | 2 | 4 | 8 | 16 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAFrAOsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
4 | 某几何体的三视图如图所示（单位： $\mathrm{cm}$ ), 则该几何体的体积是（） | $8 \mathrm{~cm}^{3}$ | $12 \mathrm{~cm}^{3}$ | $\frac{32}{3} \mathrm{~cm}^{3}$ | $\frac{40}{3} \mathrm{~cm}^{3}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAF8AToDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
5 | 某四面体的三视图如图所示, 该四面体四个面的面积中 最大的是( ) | 8 | $6 \sqrt{2}$ | 10 | $8 \sqrt{2}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAEcARADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
6 | 如图, 一环形花坛分成 A, B, C, D 四块, 现有 4 种不同的花供选种, 要求在每块里种 1 种花, 且相邻的 2 块种不同的花, 则不同的种法总数为（） | 96 | 84 | 60 | 48 | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABdAGwDASIAAhEBAxEB/8QAGgABAAMBAQEAAAAAAAAAAAAAAAMEBQECBv/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
7 | 4、为了得到函数 $y=\sin 3 x+\cos 3 x$ 的图象, 可以将函 数 $y=\sqrt{2} \cos 3 x$ 的图像（） | 向右平移 $\frac{\pi}{12}$ 个单位 | 向右平移 $\frac{\pi}{4}$ 个单位 | 向左平移 $\frac{\pi}{12}$ 个单位 | 向左平移 $\frac{\pi}{4}$ 个单位 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACzAP0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
8 | 一空间几何体的三视图如图所示,则该几何体的体积为( ). | $2 \pi+2 \sqrt{3}$ | $4 \pi+2 \sqrt{3}$ | $2 \pi+\frac{2 \sqrt{3}}{3}$ | $4 \pi+\frac{2 \sqrt{3}}{3}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAElAgsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
9 | 中国古代有计算多项式值的秦九韶算法,右图是实现该算法的程序框图.执行该程序框图,若输入的$x=2,n=2$,依次输入的$a$为$2,2,5$,则输出的$s=$（） | 7 | 12 | 17 | 34 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCAF5AJ0DASIAAhEBAxEB/8QAGgABAAMBAQEAAAAAAAAAAAAAAAMEBQIBBv/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
10 | 一空间几何体的三视图如图所示, 则该几何体的体积为( ) | $2 \pi+2 \sqrt{3}$ | $4 \pi+2 \sqrt{3}$ | $2 \pi+\frac{2 \sqrt{3}}{3}$ | $4 \pi+\frac{2 \sqrt{3}}{3}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCABvAG0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
11 | 执行如图所示的程序框图, 输出的 $s$ 值为( ) | -3 | $-\frac{1}{2}$ | $\frac{1}{3}$ | 2 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAOKAoEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
12 | 阅读如图的程序图, 运行相应的程序, 则输出 $\mathrm{S}$ 的值为（ ） | 2 | 4 | 6 | 8 | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFdANIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
13 | 半径为 $R$ 的球 $O$ 的直径 $A B$ 垂直于平面 $\alpha$, 垂足为 $B, \triangle B C D$ 是平面 $\alpha$ 内边长为 $R$ 的正三角形, 线段 $A C 、 A D$ 分别与球面交于点 $\mathrm{M}, \mathrm{N}$, 那么 $\mathrm{M} 、 \mathrm{~N}$ 两点间的球面距离 是( ) | $R \arccos \frac{17}{25}$ | $R \arccos \frac{18}{25}$ | $\frac{1}{3} \pi R$ | $\frac{4}{15} \pi R$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCADyAUUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
14 | 如图是某公司 10 个销售店某月销售某产品数量（单位：台）的茎 叶图, 则数据落在区间 $[22,30)$ 内的概率为（ ） | 0.2 | 0.4 | 0.5 | 0.6 | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCAB3ALsDASIAAhEBAxEB/8QAGgABAQEBAQEBAAAAAAAAAAAAAAUEAwYBAv/EABYBAQEBAAAAAAAAAAAAAAAAAAABAv/aAAwDAQACEA... | math | multiple-choice |
15 | 某城市为了解游客人数的变化规律,提高旅游服务质量,收集并整理了2014年1月至2016年12月期间月接待游客量（单位：万人）的数据，绘制了下面的折线图.
根据该折线图,下列结论错误的是（） | 月接待游客量逐月增加 | 年接待游客量逐年增加 | 各年的月接待游客量高峰期大致在7,8月 | 各年1月至6月的月接待游客量相对于7月至12月,波动性更小,变化比较平稳 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCADEApUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
16 | 直角坐标系$xOy$中,$\vec{i},\vec{j}$分别是与$x,y$轴正方向同向的单位向量.在直角三角形$ABC$中,若$\overrightarrow{AB}=2\vec{i}+\vec{j},\overrightarrow{AC}=3\vec{i}+k\vec{j}$,则$k$的可能值个数是（） | 1 | 2 | 3 | 4 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADGAG0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
17 | 执行如题 (5) 图所示的程序框图, 若输出 $k$ 的值为 6 , 则判断框内可填入的条件是 ( ) | $s>\frac{1}{2}$ | $s>\frac{3}{5}$ | $s>\frac{7}{10}$ | $s>\frac{4}{5}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/4RD0RXhpZgAATU0AKgAAAAgABAE7AAIAAAAOAAAISodpAAQAAAABAAAIWJydAAEAAAAcAAAQ0OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA... | math | multiple-choice |
18 | 已知函数 $f（x）=\left\{\begin{array}{l}e^{x}, x \leqslant 0 \\ \ln x, x>0\end{array}, g（x）=f（x）+x+a\right.$. 若 $g（x）$ 存在 2 个零点, 则 $a$ 的取值范围是 $（\quad）$ | $[-1,0）$ | $[0,+\infty）$ | $[-1,+\infty）$ | $[1,+\infty）$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAD9APIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
19 | 设 $a \neq 0$, 若 $x=a$ 为函数 $f(x)=a(x-a)^{2}(x-b)$ 的极大值点, 则（） | $a<b$ | $a>b$ | $a b<a^{2}$ | $a b>a^{2}$ | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADUAYwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
20 | 右图是由圆柱与圆雉组合而成的几何体的三视图,则该几何体的表面积为（） | $20\pi$ | $24\pi$ | $28\pi$ | $32\pi$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCACxAKADASIAAhEBAxEB/8QAGgABAQEBAQEBAAAAAAAAAAAAAAUEAwIBBv/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
21 | 如图, 网格纸上小正方形的边长为 1 , 粗线画出的是某几何体的三视图, 则此几何体 的体积为（） | 6 | 9 | 12 | 18 | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAE9AWEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
22 | 已知三棱柱 $A B C-A_{1} B_{1} C_{1}$ 的侧棱与底面边长都相等, $A_{1}$ 在底面 $A B C$ 内的射影为 $\triangle A B C$ 的中心，则 $A B_{1}$ 与底面 $A B C$ 所成角的正弦值等于（） | $\frac{1}{3}$ | $\frac{\sqrt{2}}{3}$ | $\frac{\sqrt{3}}{3}$ | $\frac{2}{3}$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCACqAO8DASIAAhEBAxEB/8QAGgABAAMBAQEAAAAAAAAAAAAAAAMEBQECBv/EABUBAQEAAAAAAAAAAAAAAAAAAAAB/9oADAMBAAIQAx... | math | multiple-choice |
23 | 中国古代有计算多项式值的秦九韶算法, 右图是实现该算法的程序框图.执行该 程序框图, 若输入的 $x=2, n=2$, 依次输入的 $a$ 为 $2,2,5$, 则输出的 $s=$（） | 7 | 12 | 17 | 34 | C | ["/9j/4AAQSkZJRgABAQEA3ADcAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALDATMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
24 | 右图是函数 $\mathrm{y}=\mathrm{A} \sin (\omega \mathrm{x}+\varphi) \quad(\mathrm{x} \in \mathrm{R})$ 在区间 $\left[-\frac{\pi}{6}, \frac{5 \pi}{6}\right]$ 上的图象, 为了得到 这个函数的图象, 只要将 $\mathrm{y}=\sin \mathrm{x}(\mathrm{x} \in \mathrm{R})$ 的图象上所有的点( ) | 向左平移 $\frac{\pi}{3}$ 个单位长度, 再把所得各点的横坐标缩短到原来的 $\frac{1}{2}$ 倍, 纵坐标不变 | 向左平移 $\frac{\pi}{3}$ 个单位长度, 再把所得各点的横坐标伸长到原来的 2 倍, 纵坐标不变 | 向左平移 $\frac{\pi}{6}$ 个单位长度, 再把所得各点的横坐标缩短到原来的 $\frac{1}{2}$ 倍, 纵坐标不变 | 向左平移 $\frac{\pi}{6}$ 个单位长度, 再把所得各点的横坐标伸长到原来的 2 倍, 纵坐标不变 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCADzAW4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
25 | 如图, 在 $\triangle A B C$ 中, $D$ 是边 $A C$ 上的点, 且 $A B=C D, 2 A B=\sqrt{3} B D, B C=2 B D$, 则 $\sin C$ 的值为( ) | $\frac{\sqrt{3}}{3}$ | $\frac{\sqrt{3}}{6}$ | $\frac{\sqrt{6}}{3}$ | $\frac{\sqrt{6}}{6}$ | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAC1AUkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
26 | 执行如图所示的程序框图, 输出的 $S$ 值为 ( ) | 2 | 4 | 8 | 16 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAMgAfsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
27 | 某工厂对一批产品进行了抽样检测. 有图是根据抽样检测 后的产品净重 (单位: 克) 数据绘制的频率分布直方图, 其中 产品净重的范围是 $[96,106]$, 样本数据分组为 $[96,98),[98$, $100),[100,102),[102,104),[104,106]$, 已知样本中产品 净重小于 100 克的个数是 36 , 则样本中净重大于或等于 98 克并 且小于 104 克的产品的个数是 ( ). | 90 | 75 | 60 | 45 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAD4AQoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
28 | 已知函数 $f(x)=\log _{a}\left(2^{x}+b-1\right)(a>0, a \neq 1)$ 的图象如图所示, 则 $a, b$ 满足的关系 是 ( ) | $0<a^{-1}<b<1$ | $0<b<a^{-1}<1$ | $0<b^{-1}<a<-1$ | $0<a^{-1}<b^{-1}<1$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCABZAGsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
29 | 从某网络平台推荐的影视作品中抽取 400 部, 统计其评分分数据, 将所得 400 个评 分数据分为 8 组: $[66,70) 、[70,74) 、 \cdots 、[94,98]$, 并整理得到如下的费率分布直 方图, 则评分在区间 $[82,86)$ 内的影视作品数量是（） | 20 | 40 | 64 | 80 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAI6AzkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
30 | 阅读下边的程序框图, 运行相应的程序, 则输出 $\mathrm{i}$ 的值为 ( ) | 2 | 3 | 4 | 5 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAHqATMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
31 | 执行如图的程序框图, 如果输入的 $\varepsilon$ 为 0.01 , 则输出 $s$ 的值等于（ ） | $2-\frac{1}{2^{4}}$ | $2-\frac{1}{2^{5}}$ | $2-\frac{1}{2^{6}}$ | $2-\frac{1}{2^{\top}}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAGuAM8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
32 | 如图是下列四个函数中的某个函数在区间 $[-3,3]$ 的大致图像, 则该函数是（） | $y=\frac{-x^{3}+3 x}{x^{2}+1}$ | $y=\frac{x^{3}-x}{x^{2}+1}$ | $y=\frac{2 x \cos x}{x^{2}+1}$ | $y=\frac{2 \sin x}{x^{2}+1}$ | A | ["iVBORw0KGgoAAAANSUhEUgAAAQoAAAC0CAYAAABsfGJ4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABgpSURBVHhe7Z0JuE3V+8cjSZOhAZlKRBNKk1SkklKKUKlUIjwlkZTSJGnSYIgSJUNCEgolQ6FEGSJKEkkyF1GKWv//Z9n313U79+47nH32Put8P8+zn1jnup1z9t7f/a533M8IIYQPEgohhC8SCiGELxIKIYQvEgohhC8SCiGELxIKIYQvEgohhC8SCiGELxKKFObvv/82O3... | math | multiple-choice |
33 | 如图,在平行四边形$\mathrm{ABCD}$中,下列结论中错误的是( ) | $\overrightarrow{AB}=\overrightarrow{DC}$; | $\overrightarrow{AD}+\overrightarrow{AB}=\overrightarrow{AC}$; | $\overrightarrow{AB}-\overrightarrow{AD}=\overrightarrow{BD}$; | $\overrightarrow{AD}+\overrightarrow{CB}=\overrightarrow{0}$. | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCABBAJYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
34 | 设 $\mathrm{P}$ 是 $\triangle \mathrm{ABC}$ 所在平面内的一点, $\overrightarrow{B C}+\overrightarrow{B A}=2 \overrightarrow{B P}$, 则( ) | $\overrightarrow{P A}+\overrightarrow{P B}=0$ | $\overrightarrow{P B}+\overrightarrow{P C}=0$ | $\overrightarrow{P C}+\overrightarrow{P A}=0$ | $\overrightarrow{P A}+\overrightarrow{P B}+\overrightarrow{P C}=0$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCACYAKcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
35 | 如图,在菱形$ABOC$中,$\angleA=60^{\circ}$,它的一个顶点$C$在反比例函数$y=\frac{\mathrm{k}}{\mathrm{x}}$的图象上,若将菱形向下平移2个单位,点$A$恰好落在函数图象上,则反比例函数解析式为（） | $y=-\frac{3\sqrt{3}}{\mathrm{x}}$ | $y=-\frac{\sqrt{3}}{\mathrm{x}}$ | $y=-\frac{3}{\mathrm{x}}$ | $y=\frac{\sqrt{3}}{\mathrm{x}}$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACLAL0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
36 | 如图, 数轴上 $A 、 B$ 两点分别对应实数 $a 、 b$, 则下列结论正确的是 ( ) | $a+b>0$ | $a b>0$ | $a-b>0$ | $|a|-|b|>0$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/2wBDAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQH/wAARCABAAJoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
37 | 如图, 在 $\triangle A B C$ 中, $A C \perp B C, \angle A B C=30^{\circ}$, 点 $D$ 是 $C B$ 延长线上的一点, 且 $B D=B A$, 则 $\tan \angle D A C$ 的值为（） | $2+\sqrt{3}$ | $2 \sqrt{3}$ | $3+\sqrt{3}$ | $3 \sqrt{3}$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABZAQwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
38 | 如图, $\mathrm{A} 、 \mathrm{~B} 、 \mathrm{C}$ 三点在 $\odot 0$ 上, 若 $\angle \mathrm{BOC}=76^{\circ}$, 则 $\angle \mathrm{BAC}$ 的度数是 ( ) | $152^{\circ}$ | $76^{\circ}$ | $38^{\circ}$ | $14^{\circ}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAB1AIADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
39 | 如图,在一笔直的海岸线1上有$A、B$两个观测站,$AB=2km$、从$\mathrm{A}$测得船$\mathrm{C}$在北偏东$45^{\circ}$的方向,从$\mathrm{B}$测得船$\mathrm{C}$在北偏东$22.5^{\circ}$的方向,则船$\mathrm{C}$离海岸线1的距离(即$\mathrm{CD}$的长)为( ) | $4\mathrm{~km}$ | $(2+\sqrt{2})\mathrm{km}$ | $2\sqrt{2}\mathrm{~km}$ | $(4-\sqrt{2})\mathrm{km}$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAB7AK8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
40 | 如图,$AB$是半圆的直径,$O$为圆心,$C$是半圆上的点,$D$是$\widehat{AC}$上的点,若$\angleBOC=40^{\circ}$,则$\angleD$的度数为（） | $100^{\circ}$ | $110^{\circ}$ | $120^{\circ}$ | $130^{\circ}$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABlAMoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
41 | 如图, 已知 $D 、 E$ 在 $\triangle A B C$ 的边上, $D E / / B C, \angle B=60^{\circ}, \angle A E D=40^{\circ}$, 则 $\angle$ $A$ 的度数为（） | $100^{\circ}$ | $90^{\circ}$ | $80^{\circ}$ | $70^{\circ}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABdAJkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
42 | 实数 $a 、 b$ 在数轴上的位置如图所示, 下列式子错误的是（） | $a<b$ | $|a|>|b|$ | $-a<-b$ | $b-a>0$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAAWALYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
43 | 小红同学将自己 5 月份的各项消费情况制作成扇形统计图（如图), 从图中可看 出 ( )
\section{小红5月份消费情况扇形统计图} | 各项消费金额占消费总金额的百分比 | 各项消费的金额 | 消费的总金额 | 各项消费金额的增减变化情况 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAEYAXwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
44 | 已知直线 $m / / n$, 将一块含 $30^{\circ}$ 角的直角三角板 $A B C$ 按如图方式放置 ( $\angle A B C=$ $30^{\circ}$ ), 其中 $A, B$ 两点分别落在直线 $m, n$ 上, 若 $\angle 1=20^{\circ}$, 则 $\angle 2$ 的度数为（） | $20^{\circ}$ | $30^{\circ}$ | $45^{\circ}$ | $50^{\circ}$ | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACEANADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
45 | 如图,在网格中(每个小正方形的边长均为1个单位)选取9个格点(格线的交点称为格点).如果以$\mathrm{A}$为圆心,$\mathrm{r}$为半径画圆,选取的格点中除点$\mathrm{A}$外恰好有3个在圆内,则$r$的取值范围为（） | $2\sqrt{2}<$r$<\sqrt{17}$ | $\sqrt{17}<$r$<3\sqrt{2}$ | $\sqrt{17}<$r$<5$ | $5<$r$<\sqrt{29}$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAD0ARkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
46 | 如图, 图 ①、图 ②、图 ③ 分别表示甲、乙、丙三人由 $A$ 地到 $B$ 地的路线图（箭头 表示行进的方向). 其中 $E$ 为 $A B$ 的中点, $A H>H B$, 判断三人行进路线长度的大小关系 为 $(\quad)$ | 甲 $<$ 乙 $<$ 丙 | 乙 $<$ 丙 $<$ 甲 | 丙 $<$ 乙 $<$ 甲 | 甲 $=$ 乙 $=$ 丙 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAChAeoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
47 | 12, 如图, 已知正方形 $\mathrm{ABCD}$, 顶点 $\mathrm{A}(1,3) 、 \mathrm{~B}(1,1) 、 \mathrm{C}(3,1)$. 规定 “把正方形 $\mathrm{ABCD}$ 先沿 $\mathrm{x}$ 轴翻折, 再向左平移 1 个单位” 为一次变换. 如此这样, 连续经过 2014 次变换后, 正方 形 $\mathrm{ABCD}$ 的对角线交点 $M$ 的坐标变为（） | $(-2012,2)$ | $(-2012,-2)$ | $(-2013,-2)$ | $(-2013,2)$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACSAMMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
48 | $\square A B C D$ 中, 对角线 $A C$ 与 $B D$ 交于点 $O, \angle D A C=42^{\circ}, \angle C B D=23^{\circ}$, 则 $\angle$ $C O D$ 是 ( ) | $61^{\circ}$ | $63^{\circ}$ | $65^{\circ}$ | $67^{\circ}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABlAN4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
49 | 如图,矩形$OABC$的边$OA,OC$分别在$x$轴、$y$轴的正半轴上,若$A(2,0),D(4,0)$,以$O$为圆心、$OD$长为半径的弧经过点$B$,连接$DE,BE(\quad)$ | $15^{\circ}$ | $22.5^{\circ}$ | $30^{\circ}$ | $45^{\circ}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACXAKIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
50 | 如图, 已知直线 $A B / / C D, B E$ 平分 $\angle A B C$, 交 $C D$ 于 $D, \angle C D E=150^{\circ}$, 则 $\angle C$ 的度数为 ( ) | $150^{\circ}$ | $130^{\circ}$ | $120^{\circ}$ | $100^{\circ}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABnAJwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
51 | 如图,将矩形ABCD沿GH折叠,点C落在点Q处,点D落在AB边上的点E处,若\angleAGE=32^{\circ},则\angleGHC等于() | 112^{\circ} | 110^{\circ} | 108^{\circ} | 106^{\circ} | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAByAKoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
52 | 如图, 已知 $\triangle A O B$ 是正三角形, $O C \perp O B, O C=O B$, 将 $\triangle O A B$ 绕点 $O$ 按逆时针 方向旋转, 使得 $O A$ 与 $O C$ 重合, 得到 $\triangle O C D$, 则旋转的角度是（） | $150^{\circ}$ | $120^{\circ}$ | $90^{\circ}$ | $60^{\circ}$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABNAIwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
53 | 某校九(1)班的全体同学最喜欢的球类运动用如图所示的统计图来表示,下面说法正确的是（） | 从图中可以直接看出喜欢各种球类的具体人数, | 从图中可以直接看出全班的总人数\rightarrow | 从图中可以直接看出全班同学初中三年来喜欢各种球类的变化情况 | 从图中可以直接看出全班同学现在最喜欢各种球类的人数的大小关系 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACSAOEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
54 | 如图, 在平面直角坐标系中, 菱形 $A B C D$ 的边 $A D \perp y$ 轴, 顶点 $A$ 在第二象限, 顶点 $B$ 在 $y$ 轴正半轴上 $\frac{\mathrm{k}}{\mathrm{x}}(k \neq 0, x>0)$ 的图象同时经过顶点 $C 、 D$. 若点 $C$ 的横坐标为 $5, B E=2 D E( ) | $\frac{40}{3}$ | $\frac{5}{2}$ | $\frac{5}{4}$ | $\frac{20}{3}$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACfAMoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
55 | 如图, 点 $A(2, t)$ 在第一象限, $O A$ 与 $x$ 轴所夹锐角为 $\alpha, \tan \alpha=2$, 则 $t$ 值为 $(\quad)$ | 4 | 3 | 2 | 1 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACTAKIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
56 | 如图, 等边三角形 $\mathrm{ABC}$ 和正方形 $\mathrm{ADEF}$ 都内接于 $\lceil O$, 则 $A D: A B=$（） | $2 \sqrt{2}: 3$ | $\sqrt{2}: \sqrt{3}$ | $\sqrt{3}: \sqrt{2}$ | $\sqrt{3}: 2 \sqrt{2}$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGyAaIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
57 | 如图, 在 Rt $\triangle A B C$ 中, $\angle A C B=90^{\circ}, C D \perp A B$, 垂足为 $D, A F$ 平分 $\angle C A B$, 交 $C D$ 于点 $E$, 交 $C B$ 于点 $F$. 若 $A C=3, A B=5$, 则 $C E$ 的长为 ( ) | $\frac{3}{2}$ | $\frac{4}{3}$ | $\frac{5}{3}$ | $\frac{8}{5}$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACCASADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
58 | 如图,由四个全等的直角三角形围成的大正方形的面积是169,小
正方形的面积为49,则$\sin\alpha-\cos\alpha=(\quad)$ | $\frac{5}{13}$ | $-\frac{5}{13}$ | $\frac{7}{13}$ | $-\frac{7}{13}$ | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABTAFQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
59 | 某仓库调拨一批物资,调进物资共用8小时,调进物资4小时后同时开始调出物资(调进与调出的速度保持不变).该仓库库存物资$\mathrm{m}$(吨)与时间$\mathrm{t}$(小时)之间的函数关系如图所示.则这批物资从开始调进到全部调出所需要的时间是（） | 8.4小时 | 8.6小时 | 8.8小时 | 9小时 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACQAK0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
60 | 如图,小敏做了一个角平分仪$ABCD$,其中$AB=AD,BC=DC$.将仪器上的点$A$与$\anglePRQ$的顶点$R$重合,调整$AB$和$AD$,使它们分别落在角的两边上,过点$A,C$画一条射线$AE,AE$就是$\anglePRQ$的平分线.此角平分仪的画图原理是:根据仪器结构,可得$\triangleABC\cong\triangleADC$,这样就有$\angleQAE=\anglePAE$.则说明这两个三角形全等的依据是（） | $SAS$ | $ASA$ | $AAS$ | SSS | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAB9AMsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
61 | 如图, 要制作一个圆雉形的烟图帽, 使底面圆的半径与母线长的比是 4: 5 , 那么 所需扇形铁皮的圆心角应为（） | $288^{\circ}$ | $144^{\circ}$ | $216^{\circ}$ | $120^{\circ}$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACVAQUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
62 | 如图, 在 $\triangle A B C$ 中, $\angle A C B=90^{\circ}$, 过 $B, C$ 两点的 $\odot O$ 交 $A C$ 于点 $D$, 交 $A B$ 于点 $E$, 连接 $E O$ 并延长交 $\odot O$ 于点 $F$, 连接 $B F, C F$, 若 $\angle E D C=135^{\circ}, C F=2 \sqrt{2}$, 则 $A E^{2}+B E^{2}$ 的值为 ( ) | 8 | 12 | 16 | 20 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAC4AM8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
63 | 在一个不透明的口袋中有四个完全相同的小球, 把它们分别标号为 $1,2,3,4$. 若随机摸出一个小球后 不放回, 再随机摸出一个小球, 则两次取出小球标号的和等于 5 的概率为（） | $\frac{1}{4}$ | $\frac{2}{3}$ | $\frac{1}{3}$ | $\frac{3}{16}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABxAToDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
64 | 如图,把八个等圆按相邻两两外切摆放,其圆心连线构成一个正八边形,设正八边形内侧八个扇形（无阴影部分）面积之和为$S_{1}$,正八边形外侧八个扇形（阴影部分）面积之和为$S_{2}$,则$\frac{S_{1}}{S_{2}}=(\quad)$ | $\frac{3}{4}$ | $\frac{3}{5}$ | $\frac{2}{3}$ | 1 | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACAAL4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
65 | 如图, 已知 $\mathrm{AB} / / \mathrm{CD}, \angle 1=70^{\circ}$, 则 $\angle 2$ 的度数是（） | $60^{\circ}$ | $70^{\circ}$ | $80^{\circ}$ | $110^{\circ}$ | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADKAMUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
66 | 如图,点$A、B、C$在边长为1的正方形网格格点上,下列结论错误的是（） | $\sinB=\frac{1}{3}$ | $\sinC=\frac{2\sqrt{5}}{5}$ | $\tanB=\frac{1}{2}$ | $\sin^{2}B+\sin^{2}C=1$ | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABfAHgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
67 | 小颖有两顶帽子, 分别为红色和黑色, 有三条围巾, 分别为红色、 黑色和白色, 她随机拿出一顶帽子和一条围巾戴上, 恰好为红色帽子和红色围巾的概率是 ( ) | $\frac{1}{2}$ | $\frac{2}{3}$ | $\frac{1}{6}$ | $\frac{5}{6}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCABlAK4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
68 | 如图, 在正方形 $A B C D$ 中, $A B=1$, 点 $E, F$ 分别在边 $B C$ 和 $C D$ 上, $A E=A F$, $\angle E A F=60^{\circ}$, 则 $C F$ 的长是 ( ) | $\frac{\sqrt{3}+1}{4}$ | $\frac{\sqrt{3}}{2}$ | $\sqrt{3}-1$ | $\frac{2}{3}$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABvAGsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
69 | 如图是三个大小不等的正方体拼成的几何体，其中两个较小正方体的棱长之和等于 大正方体的棱长. 该几何体的主视图、俯视图和左视图的面积分别是 $\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}$, 则 $\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}$ 的大小关系是 ( ) | $\mathrm{S}_{1}>\mathrm{S}_{2}>\mathrm{S}_{3}$ | $\mathrm{S}_{3}>\mathrm{S}_{2}>\mathrm{S}_{1}$ | $\mathrm{S}_{2}>\mathrm{S}_{3}>\mathrm{S}_{1}$ | $\mathrm{S}_{1}>\mathrm{S}_{3}>\mathrm{S}_{2}$ | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACeAHEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
70 | 有一把磨损严重的直尺, 能看清的只有 5 个刻度（如下图）, 那么, 用这把直尺能量 出 $\quad$ ) 种不同的长度。 | 4 | 6 | 9 | 11 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABPAuEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
71 | 如图所示，图中三角形的个数为（） | 4个 | 7个 | 9个 | 10个 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCACPALsDASIAAhEBAxEB/8QAGgABAAIDAQAAAAAAAAAAAAAAAAQFAgMGAf/EABYBAQEBAAAAAAAAAAAAAAAAAAABAv/aAAwDAQACEA... | math | multiple-choice |
72 | 如图图形以虚线为轴快速旋转后形成的图形是 | 三角形 | 圆雉 | 圆柱 | null | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABcADEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
73 | 按如图的规律, 用小三角形摆图形, 摆第 6)个图形共需要小三角形（） | 25 | 36 | 40 | 49 | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAC+AlsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
74 | 如图: $r=3 \mathrm{dm}$, 这个扇形的面积是 ( ) $\mathrm{dm} 2$. | 28.26 | 9.42 | 7.065 | 4.71 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACZALIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
75 | 11．有一张方格纸，每个小方格的边长是1厘米，上面堆叠有棱长1厘米的小正方体（如左下图），小正方体A的位置用（1，1，1）表示，小正方体B的位置用（2，6，5）表示，那么小正方体 C的位置可以表示成（）。 | （6，2，3） | （2，2，3） | （2，6，3） | null | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAFWAacDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
76 | A、B、C 都是非 0 自然数, $a \times \frac{13}{12}=\frac{14}{15} \times b=c \times \frac{8}{8}$, 下面排列顺序正确的是 ( ) | $a>b>c$ | $b>c>a$ | $c>a>b$ | null | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABTALoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
77 | 如图所示:用黑白两种颜色的正五边形地砖按下图所示的规律,拼成若干个蝴蝶图案,则第7幅蝴蝶图案中白色地砖有()。 | 35块 | 27块 | 22块 | 7块 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABOAY0DASIAAhEBAxEB/8QAGwABAAMAAwEAAAAAAAAAAAAAAAQFBgIDBwH/xAAUAQEAAAAAAAAAAAAAAAAAAAAA/9oADAMBAAIQAx... | math | multiple-choice |
78 | 选一选。淘气周日想去的地方在 $(1, 6)$, 他想去的地方可能是( ) 。 | 运动场 | 公园 | 邮局 | 学校 | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAEkAdEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
79 | 一堆正方体摆放在一起,从正面看、左面看如图,这堆小正方体最多有（）块。 | 6 | 7 | 8 | 9 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABxAOQDASIAAhEBAxEB/8QAGgABAQADAQEAAAAAAAAAAAAAAAUBBAYDAv/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
80 | 如图，以大圆的半径为直径画一小圆，大圆的面积是小圆面积的（）倍。 | 2 | 4 | 8 | null | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAB2AHIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
81 | 有一个棱长是4厘米的正方体，从它的一个顶点处挖去一个棱长是1厘米的正方体后，剩下物体表面积和原来的表面积相比较，（ ） | 大了 | 小了 | 不变 | 无法确定 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABmAGADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
82 | 12．如图，以长方形的边a作底面周长，边b作高，分别可以围成一个长方体、正方体和圆形纸筒，再分别给它们别故一个底面。这三个图形相比，容积最大的是（）。 | 长方体 | 正方体 | 圆柱 | null | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAEAAe4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
83 | 如图是两个厂男、女职工人数的统计图,甲厂和乙厂的女职工人数相比，（）。 | 甲厂的多 | 乙厂的多 | 一样多 | 无法比较 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABeAPQDASIAAhEBAxEB/8QAGwABAAIDAQEAAAAAAAAAAAAAAAQFAQMGAgf/xAAVAQEBAAAAAAAAAAAAAAAAAAAAAf/aAAwDAQACEA... | math | multiple-choice |
84 | 五(1)班45名同学一周参加体育锻炼时间统计如图,下面说法错误的是（） | 每周锻炼18小时的人最多 | 锻炼时间不低于9小时的有32人 | 每周锻炼7小时的人数是锻炼10小时人数的一半 | null | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAB4AOIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
85 | 在正方形铁皮上剪下一个圆和一个扇形，恰好围成一个圆锥模型（如右图）。如果圆的半径为r，扇形半径为R，那么R是r的（ ） | 6倍 | 3倍 | 4倍 | null | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACtASgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
86 | 把一个圆柱体沿半径和高平均切成若干份以后, 重新拼插成一个近似长方体, 原来圆柱体的侧面积是 $81.64 \mathrm{~cm} 2$ 。长方体的表面积比圆柱体增加（） | $24 \mathrm{~cm} 2$ | $26 \mathrm{~cm} 2$ | $32 \mathrm{~cm} 2$ | $16 \mathrm{~cm} 2$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACAAMwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
87 | 在比例尺是1:4000000的地图上,甲、乙两地相距5厘米,如果画在比例尺是$0\quad50100150$千米的地图上,那么应画()厘米。 | 3 | 4 | 5 | null | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCAA1AMYDASIAAhEBAxEB/8QAGgABAQEAAwEAAAAAAAAAAAAAAAUEAQIDBv/EABUBAQEAAAAAAAAAAAAAAAAAAAAB/9oADAMBAAIQAx... | math | multiple-choice |
88 | 下面的3个立体图形,从（）看到的形状是完全相同的。 | 上面 | 前面 | 后面 | 左面 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABBAWsDASIAAhEBAxEB/8QAGgABAQEAAwEAAAAAAAAAAAAAAAUEAgMGAf/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
89 | 图中直线m和n互相平行，线段AB和CD的关系是（ ）。 | 互相平行 | 互相垂直 | 相交 | null | A | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABfAIsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
90 | 下面三幅图的阴影部分的面积相比较，（）的面积大. | 图（1）大 | 图（2）大 | 图（3）大 | 同样大 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABvAVEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
91 | 如图()点在$\frac{1}{2}$和$\frac{6}{8}$之间。 | $A$ | $B$ | $C$ | $D$ | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCAAzANsDASIAAhEBAxEB/8QAGwABAAIDAQEAAAAAAAAAAAAAAAEFAgMEBwb/xAAUAQEAAAAAAAAAAAAAAAAAAAAA/9oADAMBAAIQAx... | math | multiple-choice |
92 | 如图: 把一个圆柱切拼成一个近似的长方体, 下面说法正确的是（） | 表面积不变, 体积也不变 | 表面积变小了, 体积不变 | 表面积变大了，体积不变 | 表面积变大了, 体积也变大了 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCAB9AQADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
93 | 8．观察如图的正方体展开图，与⑤号面相对的是（ ）号面。 | ① | ② | ③ | ⑥ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCABxARQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
94 | 将如图长方体容器中注满水,把这些水全部倒入一个棱长为$5dm$的正方体容器中，水会溢出（）$L$。 | 90 | 115 | 123 | null | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABlAMADASIAAhEBAxEB/8QAGwABAAMBAQEBAAAAAAAAAAAAAAEFBgQCAwf/xAAVAQEBAAAAAAAAAAAAAAAAAAAAAf/aAAwDAQACEA... | math | multiple-choice |
95 | 22．填在如图各正方形中的四个数之间都有相同的规律，根据此规律，$m$的值是（ ） | 38 | 52 | 66 | 74 | D | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABUAcADASIAAhEBAxEB/8QAGgABAQEAAwEAAAAAAAAAAAAAAAUEAgMGAf/EABYBAQEBAAAAAAAAAAAAAAAAAAABAv/aAAwDAQACEA... | math | multiple-choice |
96 | 三、2、右图A、B分别是长方形长和宽的中点，阴影部分面积是长方形的（）。 | $$\frac{3}{8}$$ | $$\frac{1}{2}$$ | $$\frac{5}{8}$$ | $$\frac{3}{4}$$ | B | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCABcAIMDASIAAhEBAxEB/8QAGgABAAMBAQEAAAAAAAAAAAAAAAQFBgcDAf/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
97 | 直角三角形$ABC$(如图),以直角边$AB$为轴旋转$360^{\circ}$后得到的是() | 底面半径是$8\mathrm{~cm}$,高是$6\mathrm{~cm}$的圆雉 | 底面直径是$8\mathrm{~cm}$,高是$6\mathrm{~cm}$的圆雉 | 底面半径是$6\mathrm{~cm}$,高是$8\mathrm{~cm}$的圆雉 | 底面直径是$6\mathrm{~cm}$,高是$8\mathrm{~cm}$的圆雉 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wgARCACJAIMDASIAAhEBAxEB/8QAGgABAAMBAQEAAAAAAAAAAAAAAAIEBQEDBv/EABQBAQAAAAAAAAAAAAAAAAAAAAD/2gAMAwEAAhADEA... | math | multiple-choice |
98 | 如图中，甲的表面积（）乙的表面积. | 大于 | 小于 | 等于 | 不能确定 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACsATsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
99 | 如图中, 甲的表面积 ( ) 乙的表面积. | 大于 | 小于 | 等于 | 不能确定 | C | ["/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAQCAwMDAgQDAwMEBAQEBQkGBQUFBQsICAYJDQsNDQ0LDAwOEBQRDg8TDwwMEhgSExUWFxcXDhEZGxkWGhQWFxb/2wBDAQQEBAUFBQoGBgoWDwwPFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhb/wAARCACXAQ0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... | math | multiple-choice |
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