id int64 7.34k 8.98k | question stringlengths 61 735 | final_answer listlengths 1 1 | embedding listlengths 4.1k 4.1k | embedding_question listlengths 4.1k 4.1k |
|---|---|---|---|---|
7,342 | $小韩同学在自建住房施工工地观察到如图甲所示的简易升降机，升降机由固定架、运动箱、两段足够坚韧的轻绳i和b、轻质滑轮和配重等构成。工作过程中通过调整轻绳b的松弛与张紧，可以使运动箱呈现4种不同的运动状态：向下加速、向下减速、向上加速和向上减速。轻绳a左端固定在固定架的顶端，绕过轻质滑轮，右端与装有不同质量沙子的塑料袋所构成的配重连接，配重1和配重2之间通过一段轻绳b连接。为了研究运动箱的运动，在运动箱内放置重物、电子压力计、固定的手机等，内部结构如图乙所示。手机拍摄电子压力计的示数变化，同时可利用相关软件将拍摄到的示数同步投影到屏幕上。已知配重1和配重2的质量分别为m_1和m_2，不计轻绳与滑轮之间的摩擦力，重力加速度为g。$
<... | [
"$(2m_1,2(m_1+m_2))$"
] | [
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-0.0117... | [
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7,344 | "$如图所示，物块A和木板B置于水平地面上，固定光滑弧形轨道末端与B的上(...TRUNCATED) | [
"$[0.625, \\frac{2+\\sqrt{2}}{2}]$"
] | [0.026611328125,-0.0191650390625,0.0107421875,0.00921630859375,0.003814697265625,0.03125,0.014953613(...TRUNCATED) | [0.027587890625,-0.0167236328125,-0.0021209716796875,0.01409912109375,0.00860595703125,0.02465820312(...TRUNCATED) |
7,345 | "$如图所示，质量为m的物块A与质量为3m的物块B静置于光滑水平面上，物块B(...TRUNCATED) | [
"$[0, \\frac{1}{2}mv_0^2]$"
] | [0.03759765625,-0.0274658203125,-0.007293701171875,0.00958251953125,0.0029754638671875,0.00308227539(...TRUNCATED) | [0.0361328125,-0.0208740234375,-0.004547119140625,0.0228271484375,0.004791259765625,0.00289916992187(...TRUNCATED) |
7,346 | "$如图所示，长l=7.5 m、宽d=2.4 m的卡车在马路上以v_0=20 m/s的速度靠边匀速前(...TRUNCATED) | [
"$(0,2.4)\\cup(4,+\\infty)$"
] | [0.0291748046875,-0.0054931640625,0.01190185546875,-0.000225067138671875,-0.006805419921875,0.019775(...TRUNCATED) | [0.01202392578125,0.0007171630859375,0.008056640625,-0.00113677978515625,-0.0031890869140625,0.02453(...TRUNCATED) |
7,347 | "$如图甲所示，某同学利用积木搭建一游戏轨道，其结构简图如图乙所示。(...TRUNCATED) | [
"$[0.15, 0.7]$"
] | [0.030517578125,-0.0098876953125,-0.00762939453125,-0.0096435546875,-0.004302978515625,0.00268554687(...TRUNCATED) | [0.027099609375,-0.01220703125,-0.0107421875,0.0040283203125,0.003997802734375,-0.0079345703125,0.00(...TRUNCATED) |
7,348 | "$如图所示，在水平直轨道上竖直放置一半径R=1 m的圆形光滑轨道和细管弯成(...TRUNCATED) | [
"$[0, 2]\\cup[14 ,18]\\cup[33,34]$"
] | [0.003204345703125,-0.009521484375,-0.00390625,0.0113525390625,0.0002899169921875,0.0263671875,0.014(...TRUNCATED) | [-0.00128936767578125,-0.007171630859375,-0.0101318359375,0.01806640625,0.00408935546875,0.016967773(...TRUNCATED) |
7,349 | "如图所示，弹簧的一端固定，另一端连接一个物块，弹簧质量不计。物块((...TRUNCATED) | ["$\\frac{1}{2}kx^{2}_{1}-\\frac{1}{2}kx^{2}_{2}, \\frac{1}{2}kx^{2}_{2}-\\frac{1}{2}kx^{2}_{1} $(...TRUNCATED) | [0.0167236328125,-0.0169677734375,0.023193359375,0.03759765625,-0.009033203125,-0.0029144287109375,0(...TRUNCATED) | [0.02685546875,-0.021728515625,0.01708984375,0.0390625,-0.004486083984375,0.0015869140625,-0.0032348(...TRUNCATED) |
7,351 | "$我国的东方超环(EAST)是研究可控核聚变反应的超大型科学实验装置。装置(...TRUNCATED) | [
"$(\\frac{1}{qd} \\sqrt{2mE_k},\\frac{2}{qd} \\sqrt{\\frac{2mE_k}{3}})$"
] | [0.0126953125,-0.01708984375,-0.00408935546875,0.01129150390625,-0.023193359375,0.0198974609375,0.03(...TRUNCATED) | [0.01165771484375,0.004364013671875,0.005584716796875,0.016845703125,-0.01361083984375,0.02233886718(...TRUNCATED) |
7,354 | "$如图所示，在竖直面内，一质量m的物块a静置于悬点O正下方的A点,以速度v(...TRUNCATED) | [
"$(2.6,3]$"
] | [0.0299072265625,-0.0167236328125,0.007354736328125,0.0301513671875,-0.004425048828125,0.01300048828(...TRUNCATED) | [0.0322265625,-0.0196533203125,-0.0008087158203125,0.0283203125,0.0064697265625,0.0159912109375,0.01(...TRUNCATED) |
7,355 | "$如图所示，倾角\\theta =30^\\circ 的斜面体静止放在水平地面上，斜面长L=3 m(...TRUNCATED) | [
"$(1,5]$"
] | [0.00994873046875,-0.0250244140625,-0.00689697265625,0.00136566162109375,-0.009033203125,0.020385742(...TRUNCATED) | [-0.0013427734375,-0.0203857421875,-0.017822265625,0.0120849609375,-0.00003147125244140625,0.0107421(...TRUNCATED) |
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