question_id int64 6 8.97k | subfield stringclasses 22
values | context stringclasses 103
values | question stringlengths 39 2.22k | final_answer stringlengths 5 270 | is_multiple_answer bool 2
classes | unit stringclasses 59
values | answer_type stringclasses 15
values | error stringclasses 28
values | source stringclasses 11
values | index int64 9 6.76k | image stringlengths 928 540k |
|---|---|---|---|---|---|---|---|---|---|---|---|
6,845 | Solid Geometry | null | $如图，在轴截面为正方形ABCD的圆柱中，M,N分别为弧\overset{\LARGE{\frown}}{AD}，\overset{\LARGE{\frown}}{BC}的中点，且在平面ABCD的两侧．$
$(2)求二面角B-MN-C的余弦值．$ | ['$-\\frac{1}{3}$'] | false | null | Numerical | null | OE_MM_maths_zh_CEE | 5,999 | ['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQgJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALkAkMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... |
8,931 | Electromagnetism | null | $空间存在两个垂直于Oxy平面的匀强磁场，y轴为两磁场的边界，磁感应强度分别为2B_0、3B_0。甲、乙两种比荷不同的粒子同时从原点O沿x轴正向射入磁场，速度均为v。甲第1次、第2次经过y轴的位置分别为P、Q，其轨迹如图所示。甲经过Q时，乙也恰好同时经过该点。已知甲的质量为m，电荷量为q。不考虑粒子间的相互作用和重力影响。求： $
Q到O的距离d； | ['$\\frac{mv}{3qB_0}$'] | false | null | Expression | null | OE_MM_physics_zh_CEE | 2,958 | ['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQgJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMrA2gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... |
5,281 | Solid Geometry | null | $如图，四棱锥P-ABCD中，平面PAB\perp 平面ABCD,AB\parallel CD,AB\perp AD,AB=3,AD=\sqrt{3},AP=CD=2,\angle PAB=60^\circ ，M是CD的中点，N是PB上一点.$
$(2)是否存在点N,使得MN\parallel 平面PAD？若存在，求PN的长；若不存在，请说明理由.$ | ['$\\frac{\\sqrt {7}}{3}$'] | true | null | Numerical | null | OE_MM_maths_zh_CEE | 4,884 | ['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQgJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKFAysDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBR... |
8,217 | Mechanics | null | "$一游戏装置竖直截面如图所示，该装置由固定在水平地面上倾角\\theta = 37^\(...TRUNCATED) | ['4, 22'] | false | m/s, N | Numerical | null | OE_MM_physics_zh_CEE | 2,305 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
1,398 | Mechanics | "## Disk Jockey\n\n\n\nA disk of uniform mass density, mass $M$, and radius $R$ sits at rest on a fr(...TRUNCATED) | "a. The ant walks an angular displacement $\\theta$ along the edge of the disk. Then it walks radial(...TRUNCATED) | "['$\\\\frac{2 m \\\\theta}{M}\\\\left(\\\\left(1-\\\\frac{h}{R}\\\\right)^{2}-1\\\\right)$', '$-\\\(...TRUNCATED) | false | null | Expression | null | OE_MM_physics_en_COMP | 497 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
4,622 | Conic Sections | null | "$已知椭圆C: \\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1(a>b>0)的离心率是\\frac{\\sqrt{2}}{2}，且(...TRUNCATED) | ['$\\frac{x^2}{4} + \\frac{y^2}{2}=1$'] | false | null | Equation | null | OE_TO_maths_zh_CEE | 3,910 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
2,963 | Algebra | null | "Let $T=0$. Compute the real value of $x$ for which there exists a solution to the system of equatio(...TRUNCATED) | ['3'] | false | null | Numerical | null | OE_TO_maths_en_COMP | 1,175 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
475 | Sequence | null | "已知数列 $\\left\\{a_{n}\\right\\}$ 的前 $n$ 项和 $S_{n}$ 满足 $2 S_{n}-n a_{n}=n, n \\in(...TRUNCATED) | ['$50$'] | false | null | Numerical | null | OE_TO_maths_zh_COMP | 6,607 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
4,367 | Probability and Statistics | null | "A，B，C三个班共有100名学生，为调查他们的体育锻炼情况，通过分层抽样获(...TRUNCATED) | ['$\\frac{3}{8}$'] | false | null | Numerical | null | OE_TO_maths_zh_CEE | 3,729 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
7,318 | Plane Geometry | null | "$请从下面三个条件中任选一个，补充在下面的横线上，并作答.①\\overrightar(...TRUNCATED) | ['$\\frac{\\sqrt{17}}{17}$'] | false | null | Numerical | null | OE_MM_maths_zh_CEE | 6,335 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 32